______AUTHOR INDEX ______

a space; Homology ; Infinite• Arellano, E. Ramirez de see: Ramirez de form in logarithms; Siegel theorem; dimensional space; Local decompo• Arellano, E. Transcendental number __A __ sition; Metrizable space; Pontryagin Argand, J .R. see: Arithmetic; Complex Ball, R. see: Helical duality; Projection spectrum; Suslin number; Imaginary number Balusabramanian, R. see: Waring prob• theorem; Topological space; Width Aristotle see: Modal logic; Space-time lem Abel, N.H. see: Abel differential Alexander, J.W. see: Alexander dual• Arkhangel'skil, A.V. see: Feathering Banach, S. see: Area; Banach indica• equation; Abel-Goncharov prob• ity; Alexander invariants; Duality; Arno I'd, V.I. see: Composite function; trix; Banach-Mazur functional; Ba• lem; Abel problem; Abel theorem; Homology group; Jordan theorem; Quasi-periodic motion nach space; Banach-Steinhaus the• Abel transformation; ; Knot theory; Manifold; Pontryagin Arsenin, V. Ya. see: Descriptive the• orem; Completely-continuous oper• Abelian ; Abelian variety; duality; Reaction-diffusion equation; ory ator; Contracting-mapping princi• Algebra; Algebraic equation; Alge• Topology of imbeddings Artin, E. see: Abstract algebraic ge• ple; Franklin system; Hahn-Banach braic function; Algebraic geometry; Alexandrov, A.B. see: Boundary prop• ometry; Algebra; theorem; Lacunary system; Linear Binomial series; Convergence, types erties of analytic functions theory; Alternative rings and alge• operator; Luzin N -property; Non• of; Elliptic function; Finite group; Alling, N.L. see: Surreal numbers bras; Commutative algebra; Con• differentiable function; Nuclear op• Galois theory; Group; Interpola• Almgren, F.J. see: Plateau problem, gruence modulo a prime number; erator; Open-mapping theorem; Or• tion; Inversion of an elliptic integral; multi-dimensional Divisorial ideal; Foundations of ge• thogonal series; Tonelli plane vari• Jacobi elliptic functions; Liouville• Alvarez-Gaume, L. see: Index formulas ometry; Galois cohomology; ation; Tonelli theorem; Topological Ostrogradski formula; Period map• Ambartsumyan, VA. see: Discrete algebra; Projective algebra; Reci• tensor product; Variation of a map• ping; Permutation of a set; Series; space-time; Invariant imbedding procity laws; Rings and algebras; ping Umbral calculus; Volterra equation; Ambartzumian, R.V. see: Integral geom• Wedderburn-Artin theorem; Zeta• Banchoff, T. see: Tight and taut immer• Weierstrass elliptic functions etry function sions Abhyankar, S.S. see: Local uniformiza- Amitsur, S. see: Division algebra; Rad• Arlin, M. see: Algebraic space; Topos; Barbier, E. see: Barbier theorem tion ical; Radical of rings and algebras Zeta-function Bari, N .K. see: Composite function; Adams, J. see: Perturbation theory Ampere, A.M. see: Cybernetics; Arzela, C. see: Arzela variation Metric theory offunctions; Riesz sys• Adams, J.C. see: Adams method Monge-Ampere equation Askey, R. see: Bieberbach conjecture tem; Trigonometric series; Unique• Adams, J.F. see: Homotopy group; ,\- Anderson, T.W. see: Cramer-von Mises Astarov, I. see: Elements of Euclid ness set ring test Aliyah, M.F. see: C* -algebra; Chern Barie!, D. see: D-module Addison, J.W. see: Descriptive set the• Andreev, K.A. see: Gram determinant class; ,\-ring; Lacuna; Vector bundle, Barratt, M. see: Kervaire invariant ory Andreotti, A. see: Schottky problem algebraic Barrett, J.A. see: Walsh system Adleman, L.M. see: Cryptography; Andronov, A.A. see: Andronov-Witt Aubin, T. see: Kahler manifold Barrow, I. see: Finite-difference calcu• Cryptology; Fermat great theorem theorem; Auto-oscillation; Auto• Auslander, M. see: Commutative alge• lus Adler, A. see: Geometric constructions matic control theory; Qualitative bra; Representation of an associative Bartlett, M.S. see: Bartlett test; Ado, 1.0. see: Lie of differential equations; algebra Behrens-Fisher problem Adyan, S.I. see: Burnside problem; Rough system; Stability theory Bateman, H. see: Bateman function; Group calculus Ax, J. see: Model theory Anger, C. T. see: Anger function Bateman method; Integral equation Agmon, S. see: Tricomi problem Azizov, T.Ya. see: Krein space Anick, D. see: Local ring Baudet, A. see: van der Waerden theo• Agnesi, M. see: Witch of Agnesi Anosov, D.V. see: Y-system rem Ahlfors, L. V. see: Analytic capacity; Antoine, L. see: Topology ofimbeddings Bauer, H. see: Perron integral; Potential Asymptotic value; Extremal met• theory, abstract ric, method of the; Quasi-conformal Apollonius of Perga see: Apollo- Baumslag, G. see: Non-Hopf group mapping; Removable set nius problem; Cartesian coordi• __ B __ Bautista, R. see: Representation of an Airy, G.B. see: Airy equation; Cartog- nates; Conic sections; Coordinates; associative algebra raphy, mathematical problems in Elements of Euclid Aitken, A.C. see: Aitken scheme Appel, K. see: Graph, planar Bach, R. see: Bivector space Bayes, T. see: Bayes formula al' -Kashi see: Number; Pascal triangle Appell, P.E. see: Appell equations; Ap• Bachelier, L. see: Einstein-Smolu- Bazilevich, I.E. see: Bieberbach conjec- Al-Khwarizmi, Mohammed see: Alge- pell polynomials; Appell transforma• chowski equation; Markov process ture; Rotation theorems bra; Arithmetic tion; Variational principles of classi• Bachet, C.G. see: Diophantine equa• Beauville, A. see: Schottky problem Albanese, G. see: Albanese variety cal mechanics tions Bebutov, M. V. see: Saddle at infinity Albert, A.A. see: Brauer group; Deriva• Arakelov, S. Yu. see: Finiteness theo• Bachmann, F. see: Foundations of ge• Beck, A. see: Search problem (linear) tion in a ring; Division algebra; Lie• rems; Mordell conjecture ometry Behnke, H. see: Analytic space admissible algebra Arakelyan, N.U. see: Value-distribution Baer, R. see: Baer multiplication; Ex• Behrens, W.U. see: Behrens-Fisher Aleksandrov, A.O. see: Convex surface; theory tension of a group; Heaps and semi• problem Discrete group of transformations; Araki, S. see: Cobordism heaps Beilinson, A. see: Hodge conjecture Geometry in the large; Interior ge• Arbarello, E. see: Schottky problem Baily jr., W.L. see: Automorphic func• Beilinson, P. see: Zeta-function ometry; Isometric immersion; Min• Arbuthnot!, J. see: Non-parametric tion Bell, E.T. see: Umbral calculus kowski problem; Tight and taut im• methods in Baire, R. see: Axiomatic set theory; Bellman, R. see: Bellman-Harris pro- mersions; Weyl problem Archimedes see: Archimedean axiom; Baire classes; Baire theorem; De• cess; Continuation method (to a pa• Aleksandrov, P.S. see: A-operation; Archimedean ; Cartesian co• scriptive set theory; Functions of a rametrized family); Dynamic pro• Aleksandrov . co!"pactification; ordinates; Convergence, types of; real variable, theory of; Metric the• gramming; Hamilton-Jacobi theory; Alexander duahty; Cech cohomol• Element.s of Euclid; Exhaustion, ory of functions Search problem (linear) ogy; Compact space; Compactifica• method of; Indivisibles, method Baker, A. see: Analytic number the• Beltrami, E. see: Beltrami coordi• tion; Covering (of a set); Descriptive of; Infinitesimal calculus; Integral ory; Diophantine approximation, nates; Beltrami-Enneper theorem; set theory; Duality; Dyadic com• calculus; Mathematical analysis; problems of effective; Diophantine Beltrami interpretation; Beltrami pactum; Functions of a real variable, Mathematical symbols; Number; approximations; Diophantine equa• method; Differential geometry of theory of; Homological dimension of Quantity; Semi-regular polyhedra tions; Diophantine geometry; Linear manifolds; Differential parameter;

717 BELTRAMI, E.

Hilbert invariant integral; Laplace• Bertini, E. see: Algebraic geometry; of averaging; Markov process; Met• Borgwardt, K.H. see: Linear program- Beltrami equation; Negative curva• Algebraic surface; Bertini theorems; ric transitivity; Oscillations, theory ming ture, surface of Cremona group of; Perturbation theory; Poincare Borho, W. see: Dimension Bendixson, I. see: Bendixson crite• Bertrand, G. see: Poincare-Bertrand return theorem; Qualitative theory Born, M. see: Scattering matrix rion; Bendixson sphere; Degener• formula of differential equations; Quantum Borsuk, K. see: Borsuk problem ate equilibrium position; Poincare-• Bertrand, J. see: Bertrand criterion; field theory; Quasi-averages, method Boscovic, R. see: Gravitation Bendixson theory; Qualitative theory Bertrand ; Bertrand paradox; of; Renormalization Bose, S. see: Bose-Einstein statistics of differential equations Bertrand postulate; Games, theory Bohl, P.G. see: Bohl almost-periodic Bott, R. see: Bott periodicity theorem; Benes, V.E. .see: Stochastic processes, of functions; Brouwer theorem; Func• Foliation; Frobenius theorem; La• filtering of Besicovitch, A.S. see: Hausdorff mea• tions of a real variable, theory of cuna; Tight and taut immersions Berge, C. see: Infinite game sure Bohlin, B. see: Perturbation theory Bouguer, P. see: of pursuit Bergman, G. see: Dimension Besov, O.V. see: Imbedding theorems Bohman, H. see: Approximation of Bouquet, C. see: Sokhotskii theorem Bergman, S. see: Bergman kernel func• Bessel, F. W. see: Bessel equation; Bessel functions, linear methods Bouquet, T. see: Briot-Bouquet equa- tion; Bergman-Weil representation inequality; Fourier series; Orthogo• Bohr, H. see: Almost-periodic func• tion Bernays, P. see: Formal mathematical nal series; Umbra) calculus tion; Average rotation; Bohr almost• Bourbaki, N. see: Barrelled space; analysis Beth, E.W. see: Heyting formal system; periodic functions; Bohr-Favard in• Luzin sieve; Radon measure; Root equality; Bernoulli, D. see: Bernoulli integral; Intuitionism Favard inequality; Func• system tions of a real variable, theory of; Bourget, J. see: Bernoulli method; Bessel equation; Bethe, H.A. see: Renormalization Bourget function Order; Poincare--Bendixson theory Box, G.E.P. see: Functions of a real variable, theory Betti, E. see: Betti group; Betti number Mixed autoregressive Bois-Reymond, P. moving-average of; Games, theory of; Orthogonal se• Beukers, F. see: Lindemann theorem du see: du Bois• process; Stochastic Reymond, P. process ries; Riccati equation; Trigonometric Beurling, A. see: Cluster set; Extremal with stationary increments Boks, T.J. see: Boks integral Braginskil, V.B. see: Gravitation, the- series; Variation of constants metric, method of the; Potential the• Bolotov, E.A. see: Variational princi• ory of Bernoulli, J. see: Bernoulli equation; ory, abstract; Spectral synthesis ples of classical mechanics Brahmaputra see: Mathematical sym• Classical combinatorial problems: Bezivin, J.P. see: Lindemann theorem Bol'shev, L.N. see: Interval estima• bols Combinatorial analysis; Function; Bezout, E. see: Bezout theorem tor; Mathematical statistics; Pearson Brakhage, H. see: Regularization Geodesic line; Law of large numbers; Bhaskara see: Number theory curves; Smirnov test method Leibniz formula; Limit theorems: Bianchi, L. see: Bianchi congruence; Boltyan'skil, V.G. see: Pontryagin sur• Bramagupta see: Number theory Mathematical statistics; Mathemati• Bianchi identity; Net (in differential face Brandt, A. see: Difference schemes, the• cal symbols; Statics; Theta-function: geometry); Rotations diagram Boltzmann, L. see: Boltzmann equation; ory of Umbra! calculus; Bieberbach, L. see: Bieberbach conjec• Variational princi• Boltzmann H -theorem; Boltzmann Brandt, H. see: Brandt semi-group; ples of classical mechanics: ture; Bieberbach-Eilenberg func• Virtual statistics; Kinetic equation; Stefan• displacements, principle of tions; Bieberbach polynomials; Crystallographic group; Discrete Boltzmann law Branges, L. de see: de Branges, L. Bernoulli, Jacob see: Abelian inte• Bolyai, J. see: Absolute geometry; Brauer, R. see: Brauer group; Finite gral; Algebraic geometry; Bernoulli subgroup; Koebe theorem; Univa• lent function Axiomatic method; Geometry; group; Galois cohomology; Schur in• lemniscate; Bernoulli numbers; Ber• Lobachevskii geometry dex; Spinor representation noulli polynomials; Bernoulli theo• Bienayme, I. see: Chebyshev inequality in probability theory Bolza, 0. see: Bolza problem Bravais, A. see: Crystallographic group rem; Elliptic function; Elliptic inte• Balzano, B. Binet, J. see: Mathematical symbols see: Axiomatic method; Brelot, M. see: Perron method; Poten• gral; Integral calculus; Series Bolzano-Weierstrass theorem; tial theory; Potential theory, abstract Bernoulli, Johann see: Abelian inte• Bing, R.H. see: Metrizable space; Topology, general Cauchy theorem; Continuous map• Bremermann, H. see: Domain of holo- gral; Algebraic geometry: Brachis• ping; Convergence, types of; Func• morphy; Levi problem Bingham, A.E. see: Differential equa• tochrone: Elliptic function; Elliptic tion; Non-differentiable function; Brent, H. see: Dichotomy method tion, partial, free boundaries integral: Integral calculus; !'Hospital Series; Set theory Brezinski, C. see: Pade approximation Birch, J. see: Zeta-function rule; Series; Variational numerical Bombelli, R. see: Arithmetic; Complex Brianchon, Ch.J. see: Brianchon theo- Birkhoff, G. see: Algebra; Closed methods number; Imaginary number; Math• rem; Projective geometry geodesic; Fuchsian equation; ; Bernoulli, Johann I see: Taylor series ematical symbols; Number Briggs, G.B. see: Knot theory Non-self-adjoint operator; Qualita• Bernoulli, N. see: Bernoulli theorem Bombieri, E. see: Density hypothesis; Brill, A. see: Algebraic geometry tive theory of differential equations: Bemshteln, S.N. see: Approximation of Density theorems; Distribution of Brillouin, L. see: WKB method Subdirect product functions: Approximation of func• prime numbers; Large sieve; Thue Briot, C. see: Briot-Bouquet equation; Birkhoff, G.D. see: Birkhoff ergodic tions, direct and inverse theorems: method Sokhotskii theorem theorem; Birkhoff-Witt theorem; Approximation theory; Axiomatic Bongartz, K. see: Representation of an Brockett, R.W. see: Stochastic pro• Boundary value problems of ana• set theory; Bayesian approach, em• associative algebra cesses, filtering of lytic function theory; Centre of a pirical; Bernstein inequality; Bern• Bonnet, 0. see: Bonnet net; Bonnet Brodskil, M.S. see: Non-self-adjoint op• topological dynamical system; Max• stein interpolation method; Bern• theorem; Cartographic projection; erator imal ergodic theorem; Minimal set stein method; Bernstein polyno• Gauss-Bonnet theorem; Minimal Br!11ndsted, A. see: Conjugate function Birnbaum, Z. see: Orlicz class mials; Bernstein-Rogosinski sum• surface Brothers, J.E. see: Plateau problem, Bishop, E. see: Approximation of func• mation method; Bernstein theo• Boole, G. see: Algebra; Algebra of multi-dimensional tions of a complex variable; Con• rem; Best approximations, sequence logic; ; Boolean Brouncker, W. see: Pell equation structive analysis of; Best complete approximation: function; Calculus of classes; Many• Brouwer, L.E.J. see: Abstraction, math• Bismut, J.-M. see: Index formulas Central limit theorem: Chebyshev valued logic; Mathematical logic; ematical; Abstraction of actual Bjork, J.-E. see: D-module quadrature formula; Chebyshev Umbra! calculus infinity; Alexander duality; Algo• Bjiirling, E.G. see: Bjiirling problem system; Constructive theory of func• Booth, J. see: Booth Iemniscate rithms, theory of; Bar induction; Blackwell, D. see: Renewal tions; Continuation method (to a pa• theory Borel, A. see: Aleksandrov-Cech Brouwer theorem; Constructive Blaschke, rametrized family): Euler-Lagrange W. see: Affine differential ge- homology and cohomology; Auto• analysis; Constructive mathemat• ometry; Blaschke product: equation~ Fourier series; Functions Blaschke morphic function: Borel fixed-point ics; Constructive semantics; Dimen• selection of a real variable, theory of; Jackson theorem: Blaschke-Wey! theorem; Borel subgroup; Bruhat sion; Dimension theory; Homeo• formula; Convex inequality; Laplace theorem; Le• surface decomposition; Galois cohomology; morphism; Inductive dimension; Bloch, A. besgue constants; Limit theorems; see: Bloch constant Gauss-Manin connection; Linear Intuitionism; Jordan theorem; Le• Bloch, S. Linear elliptic partial differential see: Zeta-function algebraic group; Linear algebraic besgue dimension; Lefschetz for• equation and system; Lyapunov the• Block, R.E. see: Lie algebra groups, arithmetic theory of; Maxi• mula; Manifold; Mathematical orem; Mathematical statistics; Min• Bloom, T. see: Pseudo-convex and mal torus; Variation of Hodge struc• logic; Poincare--Bendixson theory; imal surface; Ornstein-Uhlenbeck pseudo-concave ture Poincare theorem; Proof theory; process; Orthogonal polynomials; Bloomfield, L. see: Structural linguis• Borel, E. see: Absolute summabil• Schoenflies conjecture; Topological Plateau problem, multi-dimensional; tics ity; Algebraic polynomial of best group; Urysohn-Brouwer lemma; Quasi-analytic class Blum, M. see: Cryptology approximation; Axiomatic set the• Vietoris homology Blumenthal, R.M. see: Excessive func• Bernstein, F. see: Cantor theorem; ory; Borel-Lebesgue covering the• Browder, W. see: Kervaire invariant Totally-imperfect space tion orem; Borel set; Borel strong law Briickner, H. see: Fermat great theorem Bochner, Bernstein, I.N. see: D-module S. see: Bochner almost- of large numbers; Borel summation Bruhat, F. see: Bruhat decomposition periodic functions; ; method; Bernstein, J. see: Weyl algebra Descriptive set theory; Du• Brun, V. see: Additive number theory; Bochner-Martinelli representation ality; Functions of a real variable, Brun sieve; Brun theorem; Distribu• Bernstein, S. see: Genetic algebra formula; Fourier series; Lie trans• theory of; Games, theory of; Intu• tion of prime numbers; Elementary Bernstein, S.N. see: Bernshteln, S.N. formation group itionism; Measure; Metric theory of number theory; Sieve method Berry, A.C. see: Berry-Esseen inequal- Bogolyubov, N.N. see: Analytic func• functions; Metric theory of numbers; Brunn, H. see: Brunn-Minkowski the• ity tion: Averaging: Bogolyubov theo• Monogenic function; Normal num• orem Berry, G.D.W. see: Antinomy rem: Ergodic set: Functions of a real ber; Quasi-analytic class; Strong law Brunner, H. see: Collocation method Berry, M. Y. see: Stokes phenomenon variable, theory of; Invariant mea• of large numbers; Transcendental Bruns, H. see: Small denominators; Bers, L. see: Quasi-conformal mapping sure; Krylov-Bogolyubov method number; Zero-one law Three-body problem

718 COHEN,P.J.

Bubnov, I.G. see: Galerkin method classes; Interpolation; Luzin prob• Cayley numbers; Cayley surface; Chen, K.-T. see: Rational homotopy Buchsbaum, D.A. see: Commntative al• lem; Mergelyan theorem; Metric the• Cayley table; Cayley transform; theory gebra ory of functions Determinant; Erlangen program; Cherlin, G.L. see: Stability theory (in Budan, F. see: Budan-Fourier theorem Carlson, B. see: Carlson method Foundations of geometry; Graph logic) Buechler, S. see: Stability theory (in Carlson, F. see: Carlson inequality theory; Group; Higher-dimensional Chem, S.S. see: Tight and taut immer• logic) Carlsson, G. see: Equivariant cohomol- geometry; Invariants, theory of; sions Buffon, G. see: Buffon problem ogy Mathematical symbols; Matrix; Pro• Chemusov, V.I. see: Galois cohomology Bulgakov, B.V. see: Automatic control Carnap, R. see: Carnap rule jective geometry; Quadratic forms, Chetaev, N.G. see: Chetaev equations; theory Carnot, L. see: Carnot theorem reduction of Chetaev principle; Chetaev theo• Bunyakovskil, V.Ya. see: Bunyakovskil Cartan, E. see: Affine connection; Cech, E. see: Cech cohomology; Com• rems; Dynamics; Non-holonomic inequality; Mathematical statistics Cartan lemma; Cartan method of pactification; Diagonal product of systems; Non-linear oscillations; Burgess, D.A. see: Distribution of exterior forms; Cartan subalge• mappings; Homology group; Homo• Poincare equations; Poincare return power residues and non-residues bra; Cartan theorem; Connection; topy group; Pro,lective differential theorem; Variational principles of Connection form; Connections on Burgi, J. see: Arithmetic geometry; Stone-Cech compactifica• classical mechanics a manifold; Continuous group; Dif• Burkill, J.C. see: Burkill integral tion Chevalley, C. see: Adele; Algebraic ferential form; Differential geome• geometry; Algebraic number theory; Burks, A.W. see: Automaton Cecil, T.E. see: Tight and taut immer• try; Differential geometry of mani• sions Bruhat decomposition; Chevalley Biirmann, H. see: Lagrange series folds; Geodesic coordinates; Geom• Cesaro, E. see: Cesaro curve; Cesaro group; Commutative algebra; Dick• Burnside, W. see: Burnside problem; etry; Homogeneous space; Infinite• summation methods son group; Galois cohomology; Idele; Finite group; Group; Permutation dimensional representation; Integral Ceva, G. see: Ceva theorem Lie group; Linear algebraic group; group invariant; Janet theorem; Lie alge• Chacon, R. V. see: Ornstein-Chacon er• Linear group; Picard variety; Ratio• Burstin, C. see: Janet theorem bra; Lie algebra, semi-simple; Lie godic theorem nality theorems Buslenko, N.P. see: Control system group; Lie group, compact; Mani• Chai, C.-L. see: Tate curve Ch'in Chiu-Shao see: Horner scheme Butcher, J.C. see: Cauchy problem, nu- fold; Maurer-Cartan form; Moving• Chaitin, G.J. see: Algorithmic informa• Chipart, H. see: Lienard-Chipart crite• merical methods for ordinary differ• frame method; Net (in differential tion theory; Undecidability rion ential equations geometry); Parallel displacement; Chandra, A.K. see: Machine Chiu-Shao, Ch'in see: Ch'in Chiu-Shao Pfaffian problem; Projective connec• Chandrasekhar, S. see: Geodesy, math• Chomsky, N. see: Algorithm in an tion; Projective deformation; Projec• ematical problems in; Invariant alphabet; Grammar, generative; tive differential geometry; Projective imbedding Grammar, transformational; Math• geometry; Pseudo-group; Reflec• Chaplygin, S.A. see: Analytic function; ematical theory of computation __ c __ tion group; Representation function; Chaplygin method; Chaplygin theo• Choquet, G. see: Capacity; Choquet Rings and algebras; Spinor; Spinor rem; Dynamics; Gas flow theory simplex; Contingent; Derivative; representation; Structure; Sym• Chapman, S. see: Chapman-Enskog Hausdorff measure; Topological Calabi, E. see: Kahler manifold metric space; Synthetic differential method; Kolmogorov-Chapman structures Calderon, A.P. see: Calder6n-Zygmund geometry equation Chow, S. see: Picard variety operator; Cauchy integral; Sokhot• Cartan, H. see: Algebraic geometry; Charlier, C. V.L. see: Charlier polynomi• Chow, W.L. see: Chow theorem; Chow skii formulas Analytic function; Cartan theorem; als; Gram-Charlier series; Umbral variety; Jacobi variety Campbell, J.E. see: Campbell- Cousin problems; Energy of mea• calculus Christ, M. see: Cauchy integral Hausdorff formula sures; Homogeneous space; Sheaf Charve, H.F. see: Quadratic forms, re• Christoffel, E.B. see: Christoffel- Cannon, J.R. see: Stefan problem theory; Stein space; Topological Darboux formula; Christoffel num• structures duction of Cantelli, F. see: Strong law of large Chase, S.U. see: Cohomology of alge• bers; Christoffel-Schwarz formula; numbers Carter, R. W. see: Carter subgroup; Christoffel symbol; Differential ge• Chevalley group bras Cantor, G. see: Abstraction of actual Chasles, M. see: Chasles theorem; He• ometry of manifolds; G-structure; infinity; Aleph; Algebraic number; Carter, S. see: Tight and taut immer• Gauss quadrature formula; Mani• sions lical calculus; Projective geometry Antinomy; Arithmetic; Axiomatic Chatelet, F. see: Brauer-Severi variety; fold method; Axiomatic set theory; Can• Cartwright, M. see: Oscillations, theory Chu Shih-Chieh see: Pascal triangle of Weil-Chatelet group tor axiom; Cantor curve; Cantor Chudnovsky, D.V. see: Pi (number ,r) Casimir, H. see: Casimir element Chebyshev, P.L. see: Additive number theorem; Cardinal number; Car• Chudnovsky, G.V. see: Pi (number ,r) Cassini, G. see: Cassini oval theory; Algebraic polynomial of best dinality; Continuum hypothesis; Chuquet, N. see: Mathematical symbols Castelnuovo, G. see: ; approximation; Analytic number Diagonal process; du Bois-Reymond Church, A. see: Algorithmic prob- Algebraic geometry; Algebraic sur• theory; Approximation of functions; theorem; Homeomorphism; Lexico• lem; Algorithms, theory of; Arith• face; Liiroth problem Approximation theory; Bertrand graphic order; Line (curve); Math• metization; Church .\-abstraction; Catalan, E. see: Minimal surface postulate; Best approximation; Best ematical logic; Metric theory of Church thesis; Combinatory logic; Catlin, D. see: Pseudo-convex and approximations, sequence of; Car• functions; Number; Order type; Computable function; Elementary pseudo-concave tography, mathematical problems in; Ordinal number; Partially ordered theory; Enumerable set; Function; Cattani, E. see: Period mapping Central limit theorem; Chebyshev set; Proof theory; Proximity space; .\-calculus; Mathematical theory of Cauchy, A.L. see: Algebra; Ana- approximation; Chebyshev inequal• ; Set; Set theory; Tran• computation; Normal algorithm lytic function; Arithmetic series; ity; Chebyshev inequality in prob• scendental number; Trigonometric Clairaut, A. see: Clairaut equation; Axiomatic method; Cauchy crite• ability theory; Chebyshev iteration series; Uniqueness set; Well-ordered Geodesy, mathematical problems in; rion; Cauchy distribution; Cauchy• method; Chebyshev net; Chebyshev set Hadamard theorem; Cauchy in• polynomials; Chebyshev quadrature Trigonometric series Capelli, A. see: Kronecker-Capelli the• equality; Cauchy integral; Cauchy formula; Chebyshev set; Chebyshev Clapeyron, B.D. see: Stefan condition; orem integral theorem; Cauchy prob• system; Chebyshev theorem; Cheby• Stefan problem Cappell, S.E. see: Autonomous system lem; Cauchy-Riemann conditions; shev theorem on the integration Clark, J.M.C. see: Stochastic processes, Caratheodory, C. see: Boundary Cauchy theorem; Continuous map• of binomial differentials; Cheby• filtering of correspondence (under confor• ping; Convergence, types of; Convex shev theorems on prime numbers; Clausius, R. see: Virial theorem mal mapping); Caratheodory surface; Denjoy integral; Determi• Christoffel-Darboux formula; Dif• Clebsch, A. see: Algebraic function; Al• class; Caratheodory measure; nant; Differential calculus; Finite ferential binomial; Diophantine ap• gebraic geometry; Algebraic surface; Caratheodory theorem; Hausdorff group; Function; Functions of a proximations; Distribution of prime Connex; Geometric genus measure; Landau theorems; Mea• complex variable, theory of; Func• numbers; Elementary number the• Clebsch, R. see: Clebsch condition sure; Poincare return theorem; tions of a real variable, theory of; ory; Extremal properties of polyno• Clemens, C.H. see: Gauss-Manin con• Schwarz lemma Infinitesimal calculus; Integral; In• mials; Functions of a real variable, nection Cardano, G. see: Cardano formula; tegral calculus; Interpolation; Li• theory of; Games, theory of; Hermite Clemens, H. see: Algebraic cycle ; Cubic equation; ouville theorems; Mathematical polynomials; Hilbert space; Law of Clifford, A.H. see: Clifford semi-group; Mathematical symbols; Number analysis; Mathematical symbols; large- numbers; Limit theorems; Semi-group Carleman, T. see: Asymptotic value; Monodromic function; Pade ap• Lyapunov theorem; Mathematical Clifford, W. see: Clifford algebra; Carleman boundary value problem; proximation; Permutation of a set; expectation; Mathematical statis• Clifford parallel; Clifford theorem; Carleman inequality; Carleman Residue of an analytic function; tics; Moment; Moment problem; Gravitation, theory of theorem; Extension of domain, prin• Series; Vandermonde determinant Moments, method of (in probability Clunie, J. see: Coefficient problem ciple of; Fredholm equation; Hilbert Cavalieri, B. see: Cavalieri principle; theory); Orthogonal polynomials; Codazzi, D. see: Bonnet theorem; space; Integral equation; Integral Indivisibles, method of; Infinitesimal Orthogonal series; Pade approxima• Differential geometry; Peterson• equation with symmetric kernel; calculus; Mathematical symbols tion; Poisson theorem; Polynomial Codazzi equations Lyapunov theorem; Moment prob• Cavaretta, A. see: Kolmogorov inequal• least deviating from zero; Prime Cohen, H. see: Metric space lem; Quasi-analytic class; Singular ity number; Random variable; Zeta• Cohen, I.S. see: Cohen-Macaulay ring; integral equation Cayley, A. see: Algebra; Algebraic ge• function Commutative algebra Carleson, L. see: Carleson set; Car• ometry; Algebraic surface; Cayley• Chen, J. see: Circle problem; Sieve Cohen, P.J. see: Axiomatic method; Ax• leson theorem; Fourier series; Hardy Darboux equation; Cayley form; method; Waring problem iomatic set theory; Boolean-valued

719 COHEN,P.J.

model; Continuum hypothesis; De• transformation (in geometry); Man• Denjoy, A. see: Approximate limit; Doob, J .L. see: Martin boundary in the scriptive set theory; Forcing method; ifold; Orthogonal polynomials; Pro• Asymptotic value; Boks integral; theory of Markov processes; Poten• Godel constructive set; Indepen• jective differential geometry Denjoy integral; Denjoy-Luzin theo• tial theory, abstract; Random vari• dence of an axiom system; Math• Darling, D.A. see: Cramer-von Mises rem; Denjoy theorem on derivatives; able ematical logic; Proof theory; Set test Differential equations on a torus; Doppler, Ch. see: Doppler effect theory; Topology, general Darwin, Ch. see: Darwin-Fowler Integral; Metric theory of functions; Dormand, J.R. see: Cauchy problem, Cohn-Vossen, S.E. see: Cohn-Vossen method Qualitative theory of differential numerical methods for ordinary transformation; Convex snrface; Daubechies, I. see: Wavelet analysis equations; Quasi-analytic class differential equations; Differential Negative curvatnre, surface of Davenport, H. see: Waring problem Deny, J. see: Potential theory, abstract equations, ordinary, approximate Coifman, R.R. see: Cauchy integral David, G. see: Calder6n-Zygmund op- Desargues, G. see: Conic sections; De• methods of solution of; Kutta• Colliot-Thelene, J.-L. see: Galois coho- erator; Cauchy integral sargues assumption; Projective ge• Merson method mology Davies, R.O. see: Hausdorff measure ometry Dorodnitsyn, A.A. see: Integral- Concini, C. De see: De Concini, C. de Branges, L. see: Bieberbach conjec• Descartes, R. see: Algebra, funda• method Coones, A. see: C* -algebra ture; Non-self-adjoint operator mental theorem of; Analytic geom• Dorodnitsyn, A.O. see: Relaxation oscil- Conway, J.H. see: Snrreal numbers De Concini, C. see: Schottky problem etry; Cartesian coordinates; Carte• lation Cook see: Grammar, context-free de Giorgi, E. see: Plateau problem, sian orthogonal coordinate system; Douglas, J. see: Plateau problem Cook, S.A. see: Algorithm; Scheduling multi-dimensional Dowker, C.H. see: Cech cohomology theory Chart; Conic sections; Coordinates; de la Vallee-Poussin, Ch.J. see: Analytic Descartes oval; Differential calcu• Doyle, J.C. see: H= control theory Cooley, J. see: Fourier transform, dis• number theory; Approximation of Dranishnikov, A.N. see: Homological di- crete lus; Direct product; Euler char• functions; Approximation theory; acteristic; Euler mension of a space; Pontryagin sur• Copernicus, N. see: Gravitation; Math• theorem; Folium Closed system of elements (func• of Descartes; Function; Geometry; face ematical model; Trochoid tions); de la Vallee-Poussin criterion; Drasin, D. see: Value-distribution the• Cornish, E.A. see: Cornish-Fisher ex• Imaginary number; Infinitesimal de la Vallee-Poussin derivative; de la calculus; Mathematical analysis; ory pansion Vallee-Poussin multiple-point prob• Dress, F. see: Waring problem Cornu, A. see: Cornn spiral Mathematical symbols; Virtual dis• lem; de la Vallee-Poussin sum; de la placements, principle of Drury, S.W. see: Carleson set; Har• Corput, J. van der see: van der Corput, Vallee-Poussin summation method; monic analysis, abstract J, Deshouillers, J. see: Waring problem de la Vallee-Poussin theorem; Dirich• du Bois-Reymond, Diamond, H.G. see: Distribution of P. see: du Bois• Cotes, R. see: Complex number; Cotes let £-function; Distribution of prime Reymond criterion (convergence prime numbers of formulas; Newton-Cotes quadrature numbers; Functions of a real vari• series); du Bois-Reymond lemma; du formula Dicke, R. see: Gravitation, theory of able, theory of; Harmonic measure; Bois-Reymond theorem; Fourier se• Coullet, P. see: Universal behaviour in Metric theory of functions; Radon Dickson, L.E. see: Cayley-Dickson al• ries; Metric theory of functions; Or• dynamical systems measure; Trigonometric series; Zeta• gebra; Dickson group; Dickson in• thogonal series; Set theory; Trigono• Courant, R. see: Courant theorem function variant; Linear group; Waring prob• metric series Cousin, P. see: Cousin problems de Moivre. A. see: Arithmetic; Ber• lem Duffing, G. see: Duffing equation Coxeter, H.S.M. see: noulli random walk; Complex num• Dieudonne, J. see: Linear group Duflo, M. see: Infinite-dimensional rep- Cramer, G. see: Cramer rule ber; de Moivre formula; Gauss• Diffie, W. see: Cryptography; Cryptol• resentation Cramer, H. see: Central limit theo• Laplace distribution; Laplace theo• ogy Duhamel, J. see: Duhamel integral rem; Cramer theorem; Cramer-von rem; Number Dilworth, R.P. see: Multiplicative lat• Dulac, H. see: Bendixson criterion Mises test; Determinant; Edgeworth de Morgan, A. see: Mathematical logic tice; Dunford, N. see: Bochner integral series; Levy-Cramer theorem; Limit de Rham, G. see: Algebraic geometry; Dini, U. see:Dinicriterion;Dinideriva~ Dupin, Ch. see: Dupin indicatrix; theorems; Moment problem; Rao-• Autonomous system; de Rham theo• tive; Dini-Lipschitz criterion Cramer inequality Dupin theorem rem Dwork, B. Cremona, L. see: Algebraic geometry; Dinostratus see: Dinostratus quadratrix see: Zeta-function de Saussure, F. see: Structural linguis• Dwyer, Th.A. Algebraic surface; Cremona trans• Diodes see: Cissoid see: Wiener chaos decom- tics formation Diophantus see: Algebra; Algebraic position de Vries, G. see: Korteweg-de Vries Csaszar, A. see: Topological structures equation; Arithmetic; Diophantine Dyck, W. van see: van Dyck, W. equation Curry, H.B. see: Combinatory logic; .\• equations; Elementary number the• Dyson, F.G. see: Quantum field theory calculus Debarre, 0. see: Schottky problem ory; Fermat great theorem; Higher• Dyson, F.J. see: Liouville theorems Debye, P. see: Debye length; Saddle dimensional geometry; Mathemati• Dzhrbashyan, M.M. see: Blaschke prod- point method; Semi-classical ap• cal symbols; Number; Number the• uct; Boundary properties of analytic proximation ory functions; Jensen formula Dedekind, R. see: Algebraic func• Dirac, P.A.M. see: Alternion; Dirac tion; Arithmetic; __D __ Axiomatic method; equation; Dirac matrices; Fermi• Commutative algebra; Congruence Dirac statistics; Generalized func• modulo a double modulus; Dedekind tion; Quantum field theory; Spinor ring; Discrete subgroup; dal Ferro, S. see: Arithmetic; Cubic Field; Free representation ____ E ____ lattice; Function; Hamilton group; equation; Imaginary number Dirichlet, P.G.L. see: Algebraic number; Ideal number; Lattice; Mathemati• d' Alembert, J. see: Algebra, fun- Algebraic number theory; Analytic cal logic; Modular lattice; Module; Earley, J. see: Grammar, context-free damental theorem of; Analytic number theory; Dirichlet character; Number; Peano axioms; Real num• Earnshaw, S. see: Shock waves, mathe• function; Cauchy-Riemann condi• Dirichlet criterion (convergence of ber; Rings and algebras; Set theory; matical theory of tions; Complex number; d' Alembert series); Dirichlet discontinuous mul• Zeta-function Eberlein, W.A. see: Eberlein com• criterion (convergence of series); tiplier; Dirichlet formula; Dirichlet d'Alembert equation; Dehn, M. see: Algorithmic problem; pactum d'Alembert kernel; Dirichlet £-function; Dirich• Equal content and equal shape, fig• Edgeworth, F. Y. see: Edgeworth series formula; d' Alembert operator; let principle; Dirichlet problem; d' Alembert principle; ures of; Group calculus Edler, F. see: Isoperimetric inequality, Dynamics; Dirichlet series; Dirichlet theorem; Fourier method; Functions of a Dekker, T. see: Dichotomy method classical Distribution of prime numbers; Di• real variable, theory of; Higher• Delassus, E. see: Variational principles Efimov, N. V. see: Geometry in the large; visor problems; Fermat great the• dimensional geometry; Lagrange of classical mechanics Isometric immersion; Negative cur• orem; Field; Fourier series; Func• equation; Laplace equation; Math• Delaunay, Ch. see: Perturbation theory vature, surface of tion; Functions of a real variable, ematical physics; Number; Series; Deligne, P. see: Abstract algebraic Efremovich, V.A. see: Topological struc• theory of; Geodesy, mathematical Small parameter, method of the; geometry; Congruence; Congru• tures problems in; Harmonic analysis, ab• Trigonometric series ence equation; Congruence modulo Egorichev, G.P. see: Combinatorial stract; Integral points, distribution Dandelin, G. see: Dandelin spheres a prime number; Congruence with analysis; Permanent of; Mathematical analysis; Quadra• d' Angelo, J. see: Pseudo-convex and several variables; D-module; Qua• Egorov, D.F. see: Egorov system of sur• tic form; Series; Variational calculus; pseudo-concave dratic form; Ramanujan hypothesis; faces; Egorov theorem; Functions of Zeta-function Daniell, P. see: ; Mea• Zeta-function a real variable, theory of; Metric the• sure Delone, B.N. see: Diophantine equa• Dixmier, J. see: Commutation and anti• ory of functions; Potential net commutation Dantzig, D. van see: van Dantzig, D. tions relationships, repre• Ehrenpreis, L. see: Analytic function sentation of; Quantum probability Dantzig, G.B. see: Linear program• Delsarte, J. see: Generalized displace• Ehresmann, Ch. see: Connection; Foli• ming; Scheduling theory ment operators Doeblin, W. see: Attraction domain ation Darboux, G. see: Cascade method; Demazure, M. see: Multiplicity of a of a stable distribution; Distribution, Eichler, M. see: Fermat great theorem; Cayley-Darboux equation; Christ• weight type of; Limit theorems Linear algebraic groups, arithmetic offel-Darboux formula; Darboux Democritus see: Indivisibles, method of; Doitchinov, D.B. see: Topological struc• theory of equation; Darboux net invariants; Infinitesimal calculus tures Eilenberg, S. see: Bieberbach- Darboux sum; Darboux surfaces; Demoulin, A. see: Demoulin quadri• Donagi, R. see: Schottky problem Eilenberg functions; ; Co• Darboux tensor; Darboux trihedron; lateral; Demoulin surface; Demoulin Donaldson, S. see: Gauge transforma• homology of algebras; Eilenberg• Darboux vector; Integral; Laplace theorem tion; Vector bundle, algebraic MacLane space; Homology group;

720 FROMMER,M.

Homology theory; Homotopy group; analysis; Complex number; Con• Farkas, J. see: Linear inequality Fisher F-distribution; Fisher z• Obstruction gruence; Continued fraction; Con• Farkhvarson, A. see: Elements of Eu• distribution; Information; Informa• Einstein, A. see: Bose-Einstein statis• vergence, types of; Cornu spiral; clid tion matrix; Mathematical statistics; tics; Cosmological constant; Cos• de Moivre formula; Differential Faro, E. see: Variety of universal alge• Statistical estimator mological models; Differential ge• equations, ordinary, approximate bras Fitting, H. see: Fitting subgroup ometry of manifolds; Einstein rule; methods of solution of; Differential Fatou, P. see: Boundary properties of FitzGerald, C.H. see: Bieberbach con• Einstein-Smoluchowski equation; geometry; Diophantine approxima• analytic functions; Cluster set; Fatou jecture Gravitation, theory of; Langevin tions; Diophantine equations; Distri• theorem; Fatou theorem (on Lebes• Fleissner, W.G. see: Refinement equation; Ornstein-Uhlenbeck pro• bution of prime numbers; Divergent gue ); Julia set; Lacunary Fleming, W. see: Differential games; cess; Relativity theory; Riemannian series; Dynamics; Elementary num• trigonometric series; Orthogonal se• Plateau problem, multi-dimensional geometry; Unified field theories ber theory; Elliptic function; Elliptic ries; Picard theorem; Trigonometric Fock, V.A. see: Airy functions; Fock Eisenstein, F.G.M. see: Algebraic num• integral; Euler angles; Euler charac• series space; Gravitation, theory of; Klein• ber; Algebraic number theory; In• teristic; Euler constant; Euler crite• Favard, J. see: Approximation of Gordon equation; Mehler-Fock variants, theory of; Reciprocity laws rion; Euler equation; Euler formula; functions; Approximation of func• transform; Wiener-Hopf equation El, H. see: Extension theorems (in ana- Euler formulas; Euler function; tions, extremal problems in func• Foia§ C. see: Non-self-adjoint operator lytic geometry) Euler integrals; Euler-MacLaurin tion classes; Approximation theory; Fok, V.A. see: Fock, V.A Elderton, W. see: Pearson curves formula; Euler method; Euler num• Bohr-Favard inequality; Favard in• Fomenko, A.T. see: Plateau problem Emden, R. see: Emden equation bers; Euler series; Euler straight equality; Favard measure; Favard Ford, G.W. see: Langevin equation Enflo, P. see: Locally convex space line; Euler summation method; Eu• problem; Favard theorem; Jackson Ford, L.R. see: Flow in a network; ler theorem; Euler transformation; Graph, connectivity of a Engel, F. see: Engel group; Engel theo- inequality Fermat rem great theorem; Fermat little Federenko, R.P. see: Difference Fourier, J. see: Budan-Fourier theorem; theorem; Fourier series; Function; Cauchy problem, numerical meth• Engeler, E. see: >.-calculus schemes, theory of Functions of a real variable, theory ods for ordinary differential equa• Enneper, A. see: Beltrami-Enneper Federer, H. see: Integral geometry; of; Gamma-function; Gauss reci• tions; Dirichlet discontinuous mul• theorem; Enneper surface; Minimal Plateau problem, multi-dimensional; procity law; Generalized solution; tiplier; Fourier coefficients; Fourier surface Residue form Geodesic line; Geodesy, mathemat• method; Fourier number; Fourier Enriques, Fedorov, E.S. see: Crystallographic F. see: Algebraic geometry; ical problems in; Geometry; Gold• series; Function; Functions of a Algebraic surface; Cremona group; group; Fedorov group; Group bach problem; ; Green Pefferman, C. see: Biholomorphic map• real variable, theory of; Mathemati• Noether-Enriques theorem formulas; Group; Harmonic series; cal physics; Mathematical symbols; Enskog, D. see: Chapman-Enskog ping; Hardy classes Hypergeometric equation; Imagi• Fehlberg, E. see: Differential equations, Orthogonal series; Theta-function; method nary number; Infinite product; In• Trigonometric series; Virtual dis• Eotvos, R. see: Gravitation, theory of ordinary, approximate methods of tegral calculus; Lagrange principle; solution of; Kutta-Merson method placements, principle of Epimenides see: Epimenides paradox Laplace equation; Laplace integral; Feigenbaum, M.J. see: Routes to chaos; Foury see: Fermat great theorem Epstein, D. see: Foliation Legendre transform; Logarithmic Universal behaviour in dynamical Fowler, R. see: Darwin-Fowler method Eratosthenes see: Distribution of prime function; Magic square; Mathemat• Fra systems Luce Pacioli see: ; numbers; Eratosthenes, sieve of; In• ical analysis; Mathematical physics; Mathematical symbols Feit, W. see: Burnside problem; Finite finitesimal calculus; Number theory; Mathematical symbols; Mauper• Fraenkel, A. see: Axiomatic set theory group; Lattice Prime number tuis principle; Mersenne number; Franck, W. see: Search problem (linear) Fejer, L. see: Fejer sum; Fejer sum• Erdmann, G. see: Weierstrass- Minimal surface; Natural equation; Franklin, Ph. see: Orthogonal series mation method; Harmouic analysis, Erdmann corner conditions Number; Number theory; Orthogo• Frattini, G. see: Frattini subgroup abstract nal series; Partition; Pell equation; Frechet, M. see: Banach space; Com- Erdos, P. see: Distribution of prime Fel'dman, N.I. see: Linear form in log• numbers; Perfect number; Praffian equation; pact space; Differentiation of a map• Erdos problem; Graph, arithms extremal; Metric theory of numbers; Prime number; Primitive root; Se• ping; Frechet differential; Frechet Feller, W. see: Attraction domain of van der Waerden theorem ries; Stability of an elastic system; space; Frechet variation; Gener• a stable distribution; Feller process; Theta-function; Trigonometric se• alized almost-periodic functions; Erlang, A. see: Erlang distribution; Laplace theorem; Law of the it• ries; Two-term congruence; Umbra! Homeomorphism; Metric space; Queueing theory erated logarithm; Limit theorems; calculus; Variation of constants; Random element; Rao-Cramer in• Ermakov, V.P. see: Ermakov conver• Lindeberg-Feller theorem; Lya• Variational calculus; Variational cal• equality; Topological structures; gence criterion punov theorem; Random variable culus, numerical methods of; Venn Vitali variation Ershov, Yu.L. see: Recursive model the• Fenchel, W. see: Conjugate function; diagram; Zeta-function Fredholm, E.I. see: Fredholm equation; ory; Recursive set theory; Ultrafilter Convex analysis; ; Evans, G.C. see: Kellogg-Evans theo• Dual Fredholm theorems; Hill equation; Esseen, C.G. see: Berry-Esseen in- functions; Poincare-Bendixson rem the• Integral equation; Linear operator; equality ory; Tight Everett, H. see: Recursive game and taut immersions Spectral theory Etherington, I.M.H. see:Geneticalgebra Fermat, P. see: Analytic geometry; Freedman, M. see: Gauge transforma• Eubulides see: Eubulides paradox Arithmetic series; Binary quadratic tion Euclid see: Amicable numbers; Ax- form; Cartesian coordinates; Chart; Frege, G. see: Logicism; Mathematical iomatic method; Convergence, types Combinatorial analysis; Congru• logic; Proof theory of; Elementary number theory; ence; Conic __F __ sections; Coordinates; Frenet, F. see: Frenet formulas; Frenet Elements of Euclid; Equal con• Diophantine equations; Elementary trihedron tent and equal shape, figures of; Eu• number theory; Fermat great theo• Fresnel, A. see: Huygens principle clidean algorithm; Euclidean prime Faber, G. see: Faber polynomials; rem; Fermat little theorem; Fermat Freudenthal, H. see: Freudenthal com- number theorem; Fifth postulate; Faber-Schauder system; Orthogo• principle; Fermat spiral; Fermat pactification; Homotopy group Foundations of geometry; Golden nal series theorem; Finite-difference calcu• Frey, G. see: Fermat great theorem ratio; Infinitesimal calculus; Math• Fabry, E. see: Fabry theorem lus; Function; Games, theory of; Friedan, D. see: Index formulas ematical symbols; Number; Num• Faddeev, D.K. see: Singular integral Hamilton-Jacobi theory; Integral Friedberg, R.M. see: Recursive set the- ber theory; Perfect number; Prime Faddeev, L.D. see: Faddeev equation; calculus; Number theory; Pell equa• ory number; Quantity; Real number; Quantum field theory; Yang-Baxter tion; Reciprocity laws Friedman, A.A. see: Cosmological Saccheri quadrangle equation Fermi, E. see: Fermi coordinates; models; Lobachevskii geometry; Eudoxus of Cnidus see: Archimedean Fagnano del Toschi, G.C. see: Abelian Fermi-Dirac statistics Relativistic astrophysics, mathemat• axiom; Elements of Euclid; Ex• integral; Algebraic geometry; Ellip• Ferrari, L. see: Ferrari method ical problems in; Stefan problem haustion, method of; Infinitesimal tic function; Elliptic integral; Fag• Ferro, S. dal see: dal Ferro, S. Friedrichs, K.O. see: Friedrichs inequal- calculus; Integral calculus; Quantity; nano problem; Lemniscate functions Feynman, R.P. see: Feynman integral; ity Real number Falikman, DJ. see: Combinatorial anal• Feynman measure; Quantum field Frink, 0. see: Hyperspace Euler, L. see: Abel summation method; ysis theory Frisch, R. see: Confluent analysis Abelian integral; Additive number Falikman, 0.1. see: Permanent Fibonacci see: Fibonacci numbers Frobenius, G. see: Abelian group; theory; Algebra; Algebra, funda• Faltings, G. see: Algebraic curve; Dio• Finikov, S.P. see: Projective differential Algebraic geometry; Finite group; mental theorem of; Algebraic geom• phantine equations; Diophantine geometry Frobenius algebra; Frobenius theo• etry; Amicable numbers; Analytic geometry; Fermat great theorem; Finsler, P. see: Finsler geometry rem; Frobenius theorem on Pfaffian function; Analytic geometry; An• Finiteness theorems; Moduli theory; Fischer, E. see: Fourier series; Orthog• systems; Group algebra; Linear al• alytic number theory; Arithmetic; Mordell conjecture; Siegel theorem; onal series; Riesz-Fischer theorem gebra; Matrix; Module; Number; Bernoulli numbers; Bernoulli poly• Tate conjectures; Tate curve; Thue• Fischer, H.R. see: Topological struc• Pade approximation; Permutation nomials; Bessel equation; Binomial Siegel-Roth theorem tures group; Perron-Frobenius theorem; coefficients; Cauchy problem, nu• Fannes, M. see: Quantum stochastic Fisher, R.A. see: Asymptotically- Rings and algebras; Space with an merical methods for ordinary differ• processes efficient estimator; Behrens-Fisher indefinite metric ential equations; Cauchy-Riemann Fano, G. see: Fano postulate; Fano sur• problem; Cornish-Fisher expan• Frommer, M. see: Degenerate equilib• conditions; Chart; Classical combi• face; Fano variety sion; Discriminant analysis; Disper• rium position; Frommer method; natorial problems; Combinatorial Farey, J. see: :Farey series sion analysis; Fiducial distribution; Qualitative theory of differential

721 FROMMER,M.

equations; Sector in the theory of Dynamics; Elementary number the• Continuum hypothesis; Enumera• variety; Algebraic variety, auto• ordinary differential equations ory; Field; Finite group; Gauss• tion; Godel completeness theorem; morphism of an; Derived category; Frostman, 0. see: Riesz potential Bonnet theorem; Gauss criterion; Godel constructive set; Godel incom• Gauss-Manin connection; Grothen• Froude, W. see: Froude number Gauss-Laplace distribution; Gauss pleteness theorem; Independence of dieck group; Hodge conjecture; Hy• Frueh!, R. see: Graph automorphism law; Gauss method; Gauss number; an axiom system; Intuitionism; Intu• perfunction; .\-ring; Lefschetz for• convex space; Motives, Fubini, G. see: Fubini form; Fuhini Gauss principle; Gauss quadrature itionistic logic; Logical matrix; Logi• mula; Locally logic; Math• theory of; Nuclear bilinear form; model; Fuhini-Study metric; Fubini formula; Gauss reciprocity law; cism; Mathematical of computation; Nuclear operator; Nuclear space; theorem; Integral equation; Projec• Gauss sum; Gauss theorem; Gauss ematical theory Quiver; Riemann-Roch theorem; tive deformation; Projective differ• variational problem; Gaussian cur• Model theory; Omega-completeness; Sheaf theory; Topos; Universe; Vec• ential geometry vature; Geodesy, mathematical Omega-consistency; Proof theory; Set theory; Syntax; Undecidability; tor bundle, algebraic; Zeta-function Fuchs, L. see: Discrete subgroup; Fuch• problems in; Geometry; Gravitation, Unsolvability Griitzsch, H. see: Extremal metric, sian equation; Fuchsian group; Inte• theory of; Green formulas; Group; Godement, R. see: Sheaf theory; Stan• method of the; Grotzsch princi• gral equation Hypergeometric equation; Hyperge• dard construction ple; Grotzsch theorems; Infinitely• Fuchs, W.H.J. see: Value-distribution ometric function; Imaginary num• Gohberg, I.C. see: Non-self-adjoint op• connected domain; Quasi-conformal theory ber; Integral points, distribution of; Interior geometry; Intuitionism; erator mapping; Strip method (analytic Fujisaki, M. see: Stochastic processes, of; Knot theory: Golay, M.J.E. see: functions) filtering of Invariants, theory Least squares, method of; Legen• Goldbach, Ch. see: Gamma-function; Gudermann, C. see: Jacobi elliptic func- Fulkerson, D.R. see: Flow in a network: dre symbol; Lemniscate functions; Goldbach problem; Number theory tions Graph, connectivity of a; Project Lobachevskii geometry; Manifold; Goldfeld, D. see: Dirichlet £-function Guichard, G. see: Guichard congruence management and scheduling, mathe• Mathematical physics; Mathemati• Goldschmidt, D.M. see: Finite group Guldin, P. see: Perturbation theory matical theory of; Scheduling theory cal statistics; Mathematical symbols; Goldstine, H. see: Jacobi method Gunning, R.C. see: Schottky problem W. Intersection theory Fulton, see: Metric theory of numbers; Mod• Goldwasser, S. see: Cryptology Gunther, N.M. see: Lyapunov theorem Funk, P. see: Tomography ule; Newton potential; Non-residue; Golubev, Y.V. see: Analytic function; Furstenberg, H. see: van der Waerden Normal distribution; Number; Num• Boundary properties of analytic theorem ber theory; Ostrogradski formula; functions; Golubev-Privalov theo• Furtwangler, Ph. see: Fermat great Perturbation theory; Potential the• rem: Picard theorem; Sokhotskii theorem; Reciprocity laws: Tower of ory; Primitive root; Quadratic form; formulas ____ H ____ fields Quadratic reciprocity law; Reci• Goluzin, G.M. see: Area principle; Ex• procity laws; Riemannian geometry; tremal metric, method of the; Inter• Series; Spherical map; Trigono• nal variations, method of; Paramet• Haab, F. see: Tight and taut immersions metric sums, method of; Two-term ric representation method; Rotation Haar, A. see: Haar condition; Haar congruence; Variational principles theorems measure; Haar system; Orthogonal __ G __ of classical mechanics Goncharov, V.L. see: Abel-Goncharov series Gear, C.W. see: Cauchy problem, nu• problem Hadamard, J. see: Analytic number merical methods for ordinary differ• Gonshor, H. see: Genetic algebra theory; Cauchy-Hadamard theo• D-module Gabber, 0. see: ential equations Goodstein, R.L. see: Constructive anal- rem; Closed geodesic; Distribution Gabor, D. see: Wavelet analysis Geemen, B. van see: van Geemen, B. ysis of prime numbers; Hadamard ma• Gabriel, P. see: Quiver Geer, G. van der see: van der Geer, G. Gappa, V.D. see: Error-correcting code trix; Hadamard theorem; Hadamard Galerkin, B.G. see: Galerkin method Gel'fand, J.M. see: Gel'fand representa- Gordan, P. see: Algebraic geometry variational formula; Huygens princi• Galilei, G. see: Brachistochrone; Dy- tion; Infinite-dimensional represen• Gordon, W. see: Klein-Gordon equa- ple; Ill-posed problems; Kolmogorov namics; Galilean relativity principle: tation: ; Topology, gen• tion inequality; Lacunary trigonometric Galilean spiral: Gravitation: Gravi• eral Gorenstein, D. see: Gorenstein ring series; Mathematical physics, equa• statis• tation, theory of: Variational princi• Gel'fond, A.O. see: Analytic function; Gosset, W.S. see: Mathematical tions of; Negative curvature, surface ples of classical mechanics: Virtual Analytic number theory; Linear tics; Student distribution of; Quasi-analytic class; Variation W.H. see: Minimal set displacements, principle of form in logarithms; Moment prob• Gottschalk, of a univalent function; Well-posed Goursat, E. see: Cauchy integral the• Galois, E. see: Algebra; Algebraic lem; Transcendental number problem; Zeta-function orem; Goursat congruence; Goursat equation; Algebraic number theory: Gellerstedt, S. see: Gellerstedt problem Hadwiger, H. see: Hadwiger hypothesis problem Field; Finite group; Galois field; Gentzen, G. see: Arithmetic; Consis• Haefliger, A. see: Foliation; Topology of Gram, J.P. see: Gram-Chartier series; Galois theory; Group; Permutation tency; Gentzen formal system; Math• imbeddings Gram determinant group: Permutation of a set ematical logic; Sequent calculus Hagen, G. see: Poiseuille flow Grandi, G. see: Roses (curves) Gaitan, F. see: Gallon-Watson process; Gergonne, G. see: Gergonne point Hahn, H. see: Hahn-Banach theorem; Granville, A. see: Fermat great theorem Mathematical statistics Germain, S. see: Fermat great theorem Surreal numbers Grassmann, H. see: Algebra; Exterior Gambier, B. see: Painleve equation R.K. see: Excessive function Hajek, J. see: Asymptotically-efficient Getoor, algebra; Higher-dimensional geome• Garabedian, P.R. see: Bieberbach con• estimator Getzler, E. see: Index formulas try; Manifold; Number; Rings and jecture; Coefficient problem theorems; Hajian, A. see: Invariant measure Gevrey, M. see: Extension algebras Garcia, A. see: Maximal ergodic theo• Haj6s, G. see: Minkowski theorem Linear parabolic partial differential Grauer!, H. see: Analytic function; An• rem Haken, H. see: Knot theory equation and system alytic space; Leray formula L. see: Garding inequality: Haken, W. see: Graph, planar Garding, Gibbs, J. W. see: Appell equations; Green, G. see: Green formulas; Green Lacuna lattice Gibbs distribution; Gibbs phe• function; Newton potential; Potential Hales, A.W. see: Free C.S. see: Soliton Clone; Gardner, nomenon theory Hall, P. see: Basic commutator; Gardner, R. see: Reaction-diffusion Gini, C. see: Gini average difference Green, J. see: Green equivalence rela• Combinatorial analysis; Graph, con• equation Ginsburg, G.A. see: Cartographic pro• tions nectivity of a; Hall subgroup; Par• Garnier, R. see: Plateau problem jection Greene, J.M. see: Soliton tially ordered set; Selection theo• Gasper, G. see: Bieberhach conjecture Giorgi, E. de see: de Giorgi, E. Gregory, J. see: Convergence, types of; rems; Wreath product Gateaux, R. see: Differentiation of a Girard, A. see: Algebra; Algebra, fun• Gregory formula; Simpson formula Halphen, G. see: Algebraic curve; mapping: Gateaux variation: Vari• damental theorem of: Imaginary Greiner, P. see: Pseudo-convex and Halphen pencil ation of a functional number; Mathematical symbols; pseudo-concave Hamburger, H. see: Moment problem Gauss, C.F. see: Abelian integral; Ab• Viele theorem Grell, H. see: Commutative algebra Hamel, G. see: Basis straction of actual infinity; Algebra; Giraud, G. see: Extension theorems: Griffiths, P.A. see: Algebraic surface Hamilton, W.R. see: Algebra; Classical Algebra, fundamental theorem of; Giraud conditions; Singular integral Grigorchuk, R.I. see: Burnside problem combinatorial problems; Complex Algebraic geometry: Algebraic num• equation Gromoll, D. see: Closed geodesic number; Dynamics; Hamilton equa• ber: Algebraic number theory: An• Giusti, E. see: Plateau problem, multi• Gronwall, T.H. see: Area principle; tions; Hamilton function; Hamil• alytic number theory; Arithmetic; dimensional Gronwall summation method ton group; Hamilton-Jacobi the• Binary quadratic form; Cauchy Glaisher, J. see: Jacobi elliptic functions Groothuizen, R.J.P. see: Tricomi prob• ory; Hamilton operator; Hamilton• integral theorem; Christoffel num• Gleason, AM. see: Fano postulate; lem Ostrogradski principle; Imaginary bers; Circle problem; Commutative Lie group; Tovological group; Zero• Grosmann, A. see: Wavelet analysis number; Mathematical symbols; algebra: Complex number; Congru• dimensional space Gross, B .H. see: Dirichlet £-function; Matrix; Number; Quaternion; Rings ence; Congruence modulo a prime Gnedenko, B .V. see: Attraction domain Quadratic field and algebras; Variational principles number; Constructive mathemat• of a stable distribution; Limit the• Gross, W. see: Cluster set of classical mechanics ics: Cyclotomic polynomials; De• orems; Local limit theorems; Mea• Grossmann, M. see: Gravitation, theory Hammerstein, A. see: Hammerstein formation, isometric; Determinant; sure; Perfect measure; Queueing the• of equation; Nekrasov integral equa• Differential geometry; Diophan• ory Grothendieck, A. see: Abstract al- tion; Non-linear integral equation tine equations: Dirichlet problem: Giidel, K. see: Arithmetic: Arithmetiza• gebraic geometry; Affine scheme; Hanani, H. see: Orthogonal array Discrete subgroup; Distribution of tion; Axiomatic method; Axiomatic Algebraic geometry; Algebraic K • Hankel, H. see: Fourier-Bessel integral; power residues and non-residues; set theory; Computable function; theory; Algebraic surface; Algebraic Hankel functions; Number

722 JONES,C.

Happel, D. see: Representation of an Helmholtz, H. see: Curl; Differential Riemann theorem; Rings and al• Schottky problem associative algebra geometry of manifolds; Foundations gebras; Singular integral equation; Il'in, V.P. see: Imbedding theorems Hardy, G.H. see: Additive number the• of geometry; Hamiltonian system; Unsolvability; Waring problem Il'yushin, A.A. see: Plasticity, mathe• ory; Analytic number theory; Borel Helmholtz equation; Huygens prin• Hildebrandt, T. see: Bochner integral matical theory of strong law oflarge numbers; Bound• ciple; Manifold; Riemann geometry Hill, C.D. see: Stefan problem Immenetskii, V.G. see: Bernoulli poly• ary properties of analytic functions; Helton, J.W. see: H= control theory Hill, G.D. see: Hill equation nomials Diophantine geometry; Divisor prob• Henkin, L.A. see: Algebraic system Hippasos of Metapontum see: Quantity Immerman, N. see: Grammar, context· lems; Goldbach problem; H= con• Hensel, K. see: Algebraic func- Hippias of Elis see: Dinostratus quadra- sensitive trol theory; Hardy classes; Hardy tion; Commutative algebra; Hensel trix Infeld, L. see: Gravitation, theory of criterion; Hardy-Littlewood crite• lemma; p-adic number Hippocrates ofChios see: Elements of Inkeri, K. see: Fermat great theorem rion; Hardy-Littlewood problem; Herglotz, G. see: Herglotz formula Euclid lokhvidov, I.S. see: Krein space Hardy-Littlewood theorem; Hardy Herigone, P. see: Mathematical symbols Hironaka, H. see: Algebraic geometry; Isaacs, R. see: Differential games; theorem; Hardy transform; Hardy Hermann, J. see: Laplace vector Algebraic variety; Local uniformiza• Games, theory of variation; Hilbert inequality; Im bed• Hermite, Ch. see: Analytic number the- tion Isbell, J.R. see: Locale ding theorems; Kolmogorov ory; Discrete e inequal• subgroup; (number); Hirzebruch, F. see: Algebraic geometry; lt6, K. see: Ito formula; Ito pro• ity; Kolmogorov-Seliverstov theo• Hermite identity; Hermite polyno• Analytic manifold; Riemann-Roch cess; Stochastic differential equa• rem; Orthogonal series; Poincare• mials; Hermite problem; Hermitian theorem tion; Wiener chaos decomposition Bertrand formula; Trigonomet• form; Interpolation; Invariants, the• Hjelmslev, J. see: Median (of a triangle) Ivanenko, D.D. see: Discrete space-time ric sums, method ory of; Pade approximation; Qua• of; Uniformly• Hochschild, G. see: Galois cohomology Ivanov, A.B. see: System ofsubvarieties convergent series; Waring problem; dratic form; Quadratic forms, reduc• Hodge, W.V.D. see: Algebraic geom- Iversen, F. see: Cluster set; Iversen the- Weyl method; Zeta-function tion of; Residue of an analytic func• etry; Algebraic surface; Harmonic orem Harish-Chandra see: Lie group, semi• tion; Transcendental number; Um• form; Hodge conjecture; Hodge Iwaniec, H. see: Distribution of prime simple bral calculus structure; Hodge theorem numbers; Quadratic form Heron see: Heron triangle Harnack, A. see: Denjoy integral; Har- Hoffmann, B. see: Gravitation, theory Iwasawa, K. see: Lie group nack inequality; Harnack integral Herrlich, H. see: Topological structures of Harriot, T. see: Mathematical symbols Hertz, H. see: Contact problems of Hoheisel, G. see: Density method Harris, J.E. see: Algebraic curve the theory of elasticity; Hertz prin• Holder, 0. see: Extension of a group; Harris, T.E. see: Bellman-Harris pro- ciple; Variational principles of clas• Hiilder condition; Hiilder summa• cess sical mechanics tion methods; Jensen inequality; Harrison, D.K. see: Cohomology of al• Hesse, 0. see: Hessian (algebraic Jordan-Hiilder theorem __J __ gebras curve); Hessian of a function Holgate, P. see: Genetic algebra Harsanyi, J.C. see: Arbitration scheme Hestenes, M.R. see: Extension theorems Holst, U. see: Recursive estimation Hartmanis, J. see: Algorithmic informa• Hewitt, E. see: Hewitt realcompactifi• Hooke, R. see: Gravitation; Hooke law Jackson, D. see: Algebraic polynomial tion theory cation; Topology, general Hopcroft, J.E. see: Algorithm in an al- of best approximation; Approxima• Hartogs, F. see: Hartogs domain; Har• Heyting, A. see: Constructive seman• phabet tion of functions; Approximation togs theorem; Subharmonic function tics; Heyting formal system; In• Hopf, E. see: Maximal ergodic theo• theory; Best approximations, se• Harvey, R. tuitionism; Intuitionistic logic; In• rem; Poisson stability; Wiener-Hopf see: Plateau problem, multi• quence of; Functions of a real vari• dimensional tuitionistic propositional calculus; equation able, theory of; Gamma-function; Hasse, H. see: Abstract algebraic geom• Mathematical logic Hopf, H. see: Hopf algebra; Hopf fi• Hilb, E. see: Orthogonal polynomials bration; Hopf group; Hopfinvariant; Jackson inequality; Jackson singu• etry; Algebraic geometry; Algebraic lar integral number Hilbert, D. see: Abstraction, mathemat• Hopf-Rinow theorem; Lefschetz for• theory; Brauer group; Con• Jacobi, C.G.J. see: Abelian integral; gruence ical; Abstraction of actual infinity; mula; Space forms equation; Congruence mod• Abelian variety; Algebraic geome• ulo Algebra; Algebra of logic; Algebraic Hoppensteadt, F. see: Differential equa• a prime number; Galois coho• try; Algebraic number; Algebraic mology; Hasse number; Algebraic number theory; tions with small parameter invariant; Hasse prin• number theory; Amplitude of an ciple; Reciprocity Analytic number theory; Arithmetic; Hormander, L. see: Analytic function; laws; Ultrafilter; elliptic integral; Determinant; Dy• Zeta-function Axiomatic method; Banach space; Garding inequality; Microlocal anal• Boundary value problems of ana• ysis namics; Elliptic function; Hamilton Hausdorff, F. see: Campbell-Hausdorff function; Hamilton-Jacobi theory; formula; Compact space; Descrip• lytic function theory; Carnap rule; Horn, J. see: Hypergeometric series Chapman-Enskog method; Class Horner, W.G. see: Horner scheme Invariants, theory of; Inversion of tive set theory; First axiom of count• an elliptic integral; Iteration meth• ability; General topology; Hausdorff field theory; Commutative algebra; Hotelling, H. see: Hotelling T 2 - Completely-continuous operator; distribution ods; Jacobi condition; Jacobi elliptic axiom; Hausdorff dimension; Haus• functions; Jacobi equation; Jacobi dorff measure; Hausdorff metric; Composite function; Computable Hrushovski, U. see: Stability theory (in function; Consistency; Constructive logic) inversion problem; Jacobi method; Hausdorff space; Hausdorff sum• Jacobi polynomials; Jacobi princi• mation method; Hausdorff-Young mathematics; Continuum hypothe• Hsiang, W.Y. see: Plateau problem, sis; Deformation, isometric; ple; Jacobi symbol; Jacobi variety; inequalities; Homeomorphism; Mo• Differ• multi-dimensional ential Jacobian; Liouville-Ostrogradski ment problem; Partially ordered set; equation, partial, variational Hubble, E. see: Lobachevskii geometry methods; Diophantine formula; Manifold; Maupertuis Riesz inequality; Second axiom of equations, Huber, A. see: Collocation method solvability problem of; Diophantine Huber, principle; Pade approximation; countability; Set theory; Suslin the• P.J. see: Robust statistics geometry; Dirichlet Period mapping; Theta-function; orem; Tarski problem; Topological principle; Equal Hudson, R.L. see: Quantum stochastic content and equal shape, figures processes Variational principles of classical space; Topological structures; Zorn mechanics; Weierstrass elliptic func• lemma of; Euclidean geometry; Finitism; Hugoniot, H. see: Shock waves, mathe• Formal mathematical analysis; For• tions Haviland, E.K. see: Moment problem matical theory of mal system; Formalism; Founda• Hui, Yang see: Yang Hui Jacobson, N. see: Jacobson radical; Hawking, S.W. see: Cosmological mod• tions of geometry; Fredholm equa• Hunt, G.A. see: Excessive function; Simple ring els; Gravitation, theory of; Pseudo• tion; Galois cohomology; Geometry; Hunt-Stein theorem; Jacquet, E. see: Zeta-function Riemannian space Potential the• Gravitation, theory of; Hilbert• ory, abstract Jakobson, M. see: Routes to chaos Hayman, W.K. see: Bieberbach con• Euler problem; Hilbert geometry; Hurewicz, W. see: Cantor manifold; De• Jamnitzer, W. see: Regular polyhedra jecture; Iversen theorem; Value• Hilbert inequality; Hilbert invari• scriptive set theory; Dimension; Ho• Janet, M. see: Janet theorem distribution theory ant integral; Hilbert-Kamke prob• motopy group; Lebesgue dimension Jech, T. see: Topology, general Heath-Brown, D.R. see: Diophantine ge- lem; Hilbert polynomial; Hilbert• Hurwitz, A. see: Closed system of ele• Jeffreys, H. see: WKB method ometry; Fermat great theorem Schmidt integral operator; Hilbert ments (functions); Hurwitz theorem; Jenkins, G.M. see: Mixed autoregressive Heaviside, 0. see: Operational calculus space; Hilbert system of axioms; Invariants, theory of; Riemann• moving-average process; Stochastic Hecke, E. see: Quadratic form Hilbert theorem; Hilbert theory Hurwitz formula; Routh-Hurwitz process with stationary increments Hedlund, G.A. see: Minimal set of integral equations; Homeomor• criterion; Stability criterion Jenkins, J.A. see: Extremal metric, Heegaard, P. see: Heegaard decomposi- phism; Informal axiomatic method; Huxley, M.N. see: Density hypothesis; method of the; Global structure of tion Integral equation; Integral equation Distribution of prime numbers trajectories; Jenkins theorem; Rota• Heiberg, J.L. see: Elernent.s of Euclid with symmetric kernel; Intuitionism; Huygens, Chr. see: Abel problem; tion theorems; Univalent function Heine, E. see: Gamma-function; Or• Invariants, theory of; Lemniscates; Hamilton-Jacobi theory; Huygens Jensen, J.L. see: Jensen formula; Jensen thogonal polynomials Lindemann theorem; Linear oper• principle inequality Heisenberg, W. see: Heisenberg rep• ator; Mathematical logic; Negative .Hyland, J.M.E. see: Realizability; Topos Jessen, B. see: Average rotation; Zero• resentation; Orr-Sommerfeld equa• curvature, surface of; Noether the• one Iaw tion; Quantum field theory; Scatter• orem; Norm-residue symbol; Or• Joachimsthal, F. see: Joachimsthal sur- ing matrix; Uncertainty principle thogonal series; Pascal geometry; face Hellinger, E. see: Peano curve; Projective algebra; __I __ Johnson, N.W. see: Miibius plane Hellman, M.E. see: Cryptography; Projective geometry; Proof theory; Johnson, S.M. see: Scheduling theory Cryptology Real algebraic variety; Reciprocity Jones, C. see: Reaction-diffusion equa- Helly, E. see: Helly theorem laws; Riemann-Hilbert problem; Igusa, J.-1. see: Algebraic surface; tion

723 JONES, H.

Jones, H. see: Mathematical symbols Kavralskil, V.V. see: Cartographic pro- Kitillov, A.A. see: Infinite-dimensional Kolmogorov axiom; Kolmogorov• Jones, V.F.R. see: C* -algebra jection representation; Lie group, nilpotent Chapman equation; Kolmogorov Jordan, C. see: Alexander duality; Kawaguchi, A. see: Kawaguchi space Kirkman, P. see: Classical combinato• duality; Kolmogorov inequality; Algebra; Continuous distribution; Kawai, T. see: D-module rial problems; Steiner system ; Kolmogorov• Dirichlet theorem; Finite group; Kawamata, Y. see: Kodaira theorem Kleene, S.C. see: Algorithmic reducibil• Seliverstov theorem; Kolmogorov Fourier series; Function of bounded Kazhdan, D.A. see: Discrete subgroup ity; Algorithms, equivalence of; Au• test; Lacunary trigonometric series; variation; Functions of a real vari• Keisler, H.J. see: Algebraic systems, tomaton; Bar induction; Church Law of large numbers; Law of the able, theory of; Group; Jordan crite• class of thesis; Computable function; Con• iterated logarithm; Least squares, rion; Jordan curve; Jordan decom• Keldysh, L. V. see: Descriptive set the• structive semantics; Descriptive method of; Levy canonical repre• position; Jordan-Holder theorem; ory; Functions of a real variable, the• set theory; Intuitionism; Kleene• sentation; Limit theorems; Markov Jordan lemma; Jordan matrix; Jor• ory of Mostowski classification; A-calculus; process; Markov process, stationary; dan measure; Jordan theorem; Line Keldysh, M.V. see: Analytic function; Mathematical theory of computa• Mathematical statistics; Measure; (curve); Linear group; Linear op• Boundary properties of analytic tion; Realizability; Recursive realiz• Metric entropy; Non-parametric erator; Manifold; Matrix; Measure; functions; Carleman theorem; De• ability methods in statistics; Optimiza• Permutation group; Pochhammer generate partial differential equa• Klein, F. see: Algebraic geometry; tion of computational algorithms; equation; Positive variation of a tion; Keldysh-Lavrent'ev exam• Analytic manifold; Automorphic Orlicz space; Ornstein-Uhlenbeck function; Rectifiable curve; Varia• ple; Keldysh-Lavrent'ev theorem; function; Axiomatic method; Differ• process; Orthogonal series; Oscil• tion of a function Keldysh theorem; Mergelyan theo• ential geometry; Differential geome• lations, theory of; Perfect measure; Jordan, P. see: Jordan algebra; Scatter- rem; Monogenic function; Non-self• try of manifolds; Discrete subgroup; Probability distribution; Probability ing matrix adjoint operator; Perron method; Erlangen program; Foundations space; Probability theory; Projec• J!,lreskog, K.G. see: Confluent analysis Smirnov class; Smirnov domain of geometry; Fuchsian group; Ge• tive geometry; Quasi-periodic mo• Jourdain, P. see: Jourdain principle Keller, W. see: Distribution of prime ometry; Group; Hilbert geometry; tion; Random and pseudo-random Journe, J.L. see: Calderon-Zygmund numbers Homeomorphism; Homogeneous numbers; Random variable; Rao• operator; Cauchy integral Kelley, H.J. see: Jacobi condition space; Icosahedron; Invariant; Klein Blackwell-Kolmogorov theorem; Joyal, A. see: Kripke models; Topos Kelley, J.E. see: Project management interpretation; Klein space; Klein Small denominators; Stability the• Julia, G. see: Julia set; Julia theorem and scheduling, mathematical theory surface; Kleinian group; Lie qua• ory; Stationary stochastic process; Jung, H. W.E. see: Cremona transforma- of dric; Lobachevskil geometry; Mani• Statistical acceptance control; Sta• tion; Jung theorem; Schottky prob• Kellogg, O.D. see: Kellogg-Evans the• fold; Mathematical logic; Plane real tistical estimator; Stochastic process lem orem; Kellogg theorem algebraic curve; Projective geome• with stationary increments; Stochas• J utila, M. see: Density hypothesis Kelvin, Lord see: Lord Kelvin try; Riemann geometry; Riemann tic processes, filtering of; Stochastic surface; Uniformization Kerner, A.R. see: Non-associative rings processes, prediction of; Strong law Klein, 0. see: Klein-Gordon equation; of large numbers; Topological al• and algebras; PI-algebra; T-ideal; Unified field theories Variety of rings gebra; Turbulence, mathematical Kleiner, M.M. see: Representation of a problems in; Unbiased estimator; Kempner, A. see: Waring problem partially ordered set Width; Zero-one law __ K__ Kendall, D.G. see: Queue Klingenberg, W. see: Closed geodesic Kolosov, G.K. see: Elasticity theory, Kendall, M.G. see: Discriminant analy• Knaster, B. see: Knaster continuum; planar problem of sis Kac, M. see: Feynman integral; Kuratowski-Knaster fan; Sperner Kolosov, G.V. see: Analytic function; Kennard, E.H. see: Uncertainty princi• Langevin equation; Mathieu equa• lemma Biharmonic function ple tion Kneser, H. see: Differential equations Kondrashov, V.1. see: Imbedding theo• Kent, D.C. see: Topological structures Kac, V.G. see:Characterformula; Kac• on a torus; Kneser theorem rems Moody algebra; Superalgebra Kepler, J. see: Combinatorial geometry; Kneser, M. see: Adele; Kneser-Tits Kondrat'eva, M. see: Differential alge• Kaczmarz, S. see: Kolmogorov- Gravitation; Indivisibles, method of; hypothesis; Linear algebraic groups, bra Seliverstov theorem Infinitesimal calculus; Kepler equa• arithmetic theory of Konig, D. see: Graph theory; Konig Kadison, R.V. see: Quantum probabil- tion; Mathematical model; Mathe• Knopp, K. see: Euler summation theorem; Selection theorems ity matical symbols; Semi-regular poly• method Kontorovich, M.I. see: Kontorovich• Kahler, E. see: Kahler metric hedra; Trochoid Knuth, D.E. see: Grammar, context- Lebedev transform Kahn, D. see: Cryptology Kerr, R.P. see: Kerr metric free; Surreal numbers Konyagin, S.V. see: Littlewood prob• Kakutani, S. see: Invariant measure; Kervaire, M.A. see: Frobenius theorem; Kobayashi, S. see: Class lem; Trigonometric series Kakutani theorem; Maximal ergodic Kervaire invariant Kochen, S. see: Model theory Korevaar, J. see: Miintz theorem theorem; Poincare return theorem; Kerzman, N. see: Leray formula Kodaira, K. see: Algebraic surface; An• Korkin, A.N. see: Discrete subgroup; Special automorphism; Yosida rep• Khachiyan, L.G. see: Linear program• alytic manifold; Analytic surface (in Functions of a real variable, theory resentation theorem ming; Simplex method algebraic geometry); Deformation; of; Geometry of numbers Kallianpur, G. see: Stochastic processes, Kharitonov, V.L. see: MikhaTiov crite• Kodaira dimension; Kodaira theo• Korn, A. see: Korn inequality; Minimal filtering of rion rem surface Kalman, R.E. see: Stochastic processes, Khenkin, G.M. see: Analytic function; Koebe, P. see: Algebraic geometry; Korovkin, P.P. see: Approximation of filtering of; Stochastic processes, pre• Boundary properties of analytic Infinitely-connected domain; Koebe functions, linear methods diction of functions; Leray formula function; Koebe theorem; Limit Korteweg, D. see: Korteweg-de Vries Kaluza, T. see: Unified field theories Khinchin, A.Ya. see: Approximate elements; Riemann surface; Uni• equation Kamke, E. see: Hilbert-Kamke prob• derivative; Approximate limit; At• formization Kostant, B. see: Contact structure lem traction domain of a stable distri• Kohn, J.J. see: Analytic function; Neu• Kosttikin, A.I. see: Lie p-algebra Kan, D.M. see: Homotopy group; Pro• bution; Borel strong law of large mann D-problem; Pseudo-convex Kotel'nikov, A.P. see: Helical calculus; jective limit numbers; Denjoy integral; Distribu• and pseudo-concave Kotel'nikov interpretation Kant, I. see: Antinomy; Gravitation; tion, type of; Khinchin inequality; Koksma, J. see: Metric theory of num• Kothe, G. see: Hyperfunction Higher-dimensional geometry Khinchin integral; Khinchin theo• bers Kottwitz, R. see: Tamagawa number Kantor, W.M. see: rem; Law of large numbers; Law of Kolchin, E.R. see: Lie-Kolchin theorem Kovalevskaya, S.V. see: Cauchy- Kantorovich, B .z. see: Riesz space the iterated logarithm; Levy canon• Kolmogorov, A.N. see: Algorithm; Al• Kovalevskaya theorem Kantorovich, L. V. see: K -space; Kan- ical representation; Levy-Khinchin gorithm, complexity of description of Kowalsky, H.-J. see: Topological struc- torovich process; Linear program• canonical representation; Limit the• an; Algorithmic information theory; tures ming orems; Metric theory of functions; Algorithms, theory of; Approxima• Kozen, D.C. see: Machine Kaplan, A. see: Period mapping Metric theory of numbers; Poincare tion of functions; Approximation Kraft, H. see: Dimension Kaplan. J.L. see: Lyapunov character• return theorem; Queueing theory; of functions, extremal problems in Kramers, H. see: WKB method istic exponent Strong law of large numbers; Uni• function classes; Approximation of Kramp, Ch. see: Mathematical symbols Karhunen, K. see: Stationary stochastic modal distribution functions, linear methods; Approxi• Krasner, M. see: Fermat great theorem process Khwarizmi, Mohammed Al see: Al- mation theory; Bernstein inequality; Krasovskil, N.N. see: Differential equa- Karlin, S. see: Drawing room game Khwarizmi, Mohammed Carleson theorem; Characteristic tions, ordinary, with distributed ar• Karmarkar, N. see: Linear program- Kiefer, J. see: Stochastic approximation functional; Chebyshev inequality in guments; Differential games ming; Simplex method Kilgore, T.A. see: Lebesgue constants probability theory; Compact space; Kraus, W. see: Schwarzian derivative Karp, R.M. see: Scheduling theory Killing, W. see: Differential geometry Composite function; Concentration Krawtchouk, M.F. see: Krawtchouk Kasami, T. see: Grammar, context-free of manifolds; Engel theorem; Killing function; Constructive semantics; polynomials Kashi, al' - see: al'-Kashi form; Killing vector; Lie algebra, Descriptive set theory; Duality; e• Kree, P. see: White noise analysis Kashiwara, M. see: D-module semi-simple; Lie algebra, solvable; entropy; Empirical distribution; En• Krein, M.G. see: Directing function• Kasparov, G.G. see: C* -algebra Lie group; Space forms tropy theory of a dynamical system; als, method of; Non-self-adjoint op• Katetov, M. see: Topological structures Kirby, R.C. see: Knot theory Finitary verifiability; Fourier series; erator; Stationary stochastic process; Kato, T. see: Limit-absorption principle Kirchhoff, G.R. see: Graph the- Functions of a real variable, the• Yosida representation theorem Katz, N.M. see: Gauss-Manin connec- ory; Huygens principle; Kirchhoff ory of; Homology group; Infinitely• Kreln, S.G. see: Yosida representation tion method divisible distribution; Intuitionism; theorem

724 LIE, S.

Kripke, S.A see: Heyting formal system; principle; Diophantine approxima• Laptev, G.F. see: Connection; Connec• Leibniz, G. see: Abel summation Intuitionism; Kripke models tions; Diophantine equations; Dis• tion form; Projective differential ge• method; Analytic geometry; Carte• Kronecker, L. see: Abstraction of actual crete subgroup; Dynamics; Elemen• ometry sian coordinates; Classical combi• infinity; Algebraic number; Binary tary number theory; Euler equation; Lashof, J. see: Tight and taut immer• natorial problems; Combinatorial quadratic form; Class field theory; Euler-Lagrange equation; Field; sions analysis; Complex number; Co• Commutative algebra; Constructive Finite group; Functions of a real Lasker, E. see: Commutative algebra; ordinates; Determinant; Differen• mathematics; Diophantine geome• variable, theory of; Gateaux vari• Lasker ring; Primary decomposition tial calculus; Differential equation, try; Field; Group; Ideal number; ation; Geometry; Group; Infinites• Laurent, P. see: Residue of an analytic ordinary; Finite-difference calcu• Intuitionism; Kronecker formula; imal calculus; Integral calculus; function lus; Function; Harmonic series; Interpolation; Lagrange equation; Integral calculus; Legendre trans• Kronecker method; Kronecker sym• Lavrent'ev, M.A. see: Analytic func• Lagrange equations (in mechanics); form; Leibniz criterion; Leibniz bol; Kronecker theorem; Module; tion; Boundary properties of an• System of subvarieties Lagrange interpolation formula; La• formula; Leibniz series; Logicism; alytic functions; Carleman the• grange method; Lagrange principle; Logistics; Mathematical analysis; Krull, W. see: Additive theory of ide• orem; Extremal metric, method Lagrange problem; Lagrange se• Mathematical logic; Mathematical als; Commutative algebra; Divisor of the; Keldysh-Lavrent'ev exam• ries; Lagrange stability; Lagrange symbols; Newton-Cotes quadrature class group; Galois theory; Jordan• ple; Keldysh-Lavrent'ev theorem; theorem; Mathematical analysis; formula; Newton-Leibniz formula; Hiilder theorem; Krull-Remak• Lavrent'ev theorem; Mergelyan the• Mathematical physics; Mathemati• Non-standard analysis; Partially Schmidt theorem; Krull ring; Mod• orem; Quasi-conformal mapping; cal symbols; Maupertuis principle; ordered set; Series; Variational cal• ule; Rings and algebras; Valuation Smirnov class; Smirnov domain; Minimal surface; Newton diagram; culus Kruskal, M.D. see: Sine-Gordon equa• Variation of a univalent function; Newton potential; Permutation of Lelong, P. see: Multiharmonic function tion; Soliton Variational principles (in complex a set; Perturbation theory; Plateau Lempert, L. see: Biholomorphic map• Krylov, J.M. see: Invariant measure function theory) problem; Potential theory; Quadra• ping; Green function Krylov, N.M. see: Ergodic set; Krylov• tic form; Random walk; Series; Stat• Lavrik, A.F. see: Distribution of prime Leonardo da Pisa see: Arithmetic; Fi• Bogolyubov method of averaging; ics; Trigonometric series; Variation; numbers bonacci numbers; Mathematical Markov process; Metric transitivity; Variation of a functional; Variation Lawson, H.B. see: Plateau problem, symbols Oscillations, theory of; Perturbation of constants; Variational calculus; multi-dimensional Leonardo da Vinci see: Golden ratio theory; Poincare return theorem Variational principles of classical Lawvere, F.W. see: Algebraic systems, Leant' ev, A.F. see: Miintz theorem Kufarev, P.P. · see: Liiwner equation; mechanics; Virtual displacements, variety of; Category; Synthetic dif• Lepowsky, J. see: Character formula Variation-parametric method principle of; Waring problem; Wil• ferential geometry; Topos; Universal Leray, J. see: Algebraic geometry; Kuhnel, W. see: Tight and taut immer• son theorem algebra Analytic function; Cauchy inte• sions Laguerre, E.N. see: Laguerre formula; Lax, P.O. see: Microlocal analysis gral; Leray formula; Leray spectral Kuiper, N.H. see:Tightand taut immer- Laguerre polynomials; Umbra! cal• Le, D.T. see: Gauss-Manin connection sequence; Residue of an analytic sions culus le Verrier, U. see: Mathematical model; function; Sheaf theory Kulk, W. van der see: van der Kulk, W. Lambek, J. see: Variety of universal al• Perturbation theory Leroux, P. see: Category of groups Kumar, S. see: Character formula gebras Lebedev, N .A. see: Bieberbach conjec• Lesage, G.L. see: Gravitation Kummer, E. see: Algebraic number; Lambert, J .H. see: Continued fraction; ture Levenshtein, V.I. see: Leech lattice Algebraic number theory; Commu• Elementary number theory; Fifth Lebedev, N.N. see: Kontorovich- Levi, B. see: Lebesgue theorem tative algebra; Confluent hyperge• postulate; Lambert quadrangle; Lebedev transform; Lebedev trans• Levi-Civita, T. see: Connection; Co- ometric equation; Divisor; Divisor Lambert series; Lambert summa• form variant differentiation; Differential class group; Fermat great theo• geometry of manifolds; Levi-Civita tion method; Pi (number 1r) Lebesgue, H. see: Alexander duality; rem; Ideal number; Irregular prime connection; Manifold; Parallel dis• Lame, G. see: Differential parameter; Approximation theory; Axiomatic number; Kummer criterion; Kum• placement; Tensor calculus Fermat great theorem; Lame coeffi• set theory; Borel-Lebesgue covering mer extension; Kummer hypothesis; cients; Lame constants; Lame curve; theorem; Continuity, modulus of; Levi, E.E. see: Domain of holomor• Kummer surface; Kummer theorem; phy; Extension theorems; Levi condi• Lame equation; Manifold; Stefan Descriptive set theory; Dimension Kummer transformation; Papperitz tion; Levi-Mal'tsev decomposition; condition; Stefan problem theory; du Bois-Reymond theorem; equation; Reciprocity laws Levi problem; Lie group; Parametrix Landau, E. see: Distribution of prime Fejer summation method; Fourier method; Potential of a mass distribu• Kunen, K. see: Topology, general numbers; Kolmogorov inequality; series; Functions of a real vari• tion Kunita, H. see: Stochastic processes, fil. Landau theorems; Order relation able, theory of; Harmonic analysis, Levin, L.A. see: Algorithmic informa• tering of Landau, H.J. see: Uncertainty principle abstract; Integral; Intuitionism; Ir• tion theory; Scheduling theory Kiinneth, H. see: Kiinneth formula Landau, L.D. see: Landau kinetic equa• regular boundary point; Jordan the• Levinson, N. see: Oscillations, theory Kuranishi, M. see: Deformation; Lie tion; Routes to chaos; Turbulence, orem; Lebesgue constants; Lebesgue of; ; Zeta-function transformation group mathematical problems in criterion; Lebesgue decomposition; Levitan, B.M. see: Generalized dis• Kuratowski, C. see: Descriptive set the• Landkof, N.S. see: Steklov function Lebesgue dimension; Lebesgue func• placement operators ory; Jordan theorem; Kuratowski• Landman, A. see: Gauss-Manin con• tion; Lebesgue inequality; Lebesgue Levy, P. see: Arcsine law; Attraction Knaster fan; Kuratowski set; Luzin nection integral; Lebesgue measure; Lebes• domain of a stable distribution; Con• separability principles; Sperner gue summation method; Lebesgue Lanford, 0. see: Universal behaviour in centration function; Distribution lemma; Topological space; Topo• theorem; Measure; Metric space; dynamical systems function; Gateaux variation; Law of logical structures Metric theory of functions; Orthogo• Lang, S. see: Thoe-Siegel-Roth theo• large numbers; Levy canonical rep• nal series; Perron method; Potential Kurganov, N. see: Elements of Euclid rem resentation; Levy-Cramer theorem; theory; Regular boundary point; Kurosh, A.G. see: Projection spectrum; Langer, H. see: Non-self-adjoint opera- Levy inequality; Levy-Khinchin Singular integral; Suslin theorem; Radical; Radical of rings and alge• tor canonical representation; Levy met• Urysohn-Brouwer lemma; Vitali bras; Universal algebra Langevin, P. see: Langevin equation ric; Limit theorems; Metric theory of variation Kushner, H.J. see: Stochastic processes, Langlands, R. see: Zeta-function numbers; Potential theory, abstract; filtering of Laplace, P.S. see: Algebra, fundamental LeCam, L. see: Asymptotically-efficient Random variable; Wiener process; Kutta, W. see: Runge-Kutta method theorem of; Bernoulli random walk; estimator; Tight measure Zero-one law Kuz'min, R.O. see: Metric theory of Buffon problem; Cascade method; Leech, J. see: Leech lattice Lewis, C.I. see: Modal logic numbers Central limit theorem; Determinant; Lefschetz, S. see: Algebraic geome• Lewis, D.J. see: Ultrafilter Games, theory of; Gauss-Laplace try; Algebraic surface; Homology Lewis, J.L. see: Value-distribution the• distribution; Geodesy, mathematical group; Lefschetz duality; Lefschetz ory problems in; Hermite polynomi• formula; Lefschetz number Lewy, H. see: Convex surface; Wey! als; Laplace distribution; Laplace Legendre, A.M. see: Algebraic geom• problem __L __ equation; Laplace integral; Laplace etry; Continued fraction; Dirichlet !'Hospital, marquis de see: marquis de method; Laplace theorem; Laplace discontinuous multiplier; Elliptic !'Hospital transform; Laplace vector; Limit function; Fermat great theorem; l'Huillier, S. see: Mathematical symbols Laczkovich, M. see: Tarski problem theorems; Mathematical physics; Fifth postulate; Gamma-function; Lichtenstein, L. see: Geodesy, mathe• Lagrange, J.L. see: Algebra, fundamen• Mathematical statistics; Metric the• Gauss reciprocity law; Least squares, matical problems in tal theorem of; Analytic geometry; ory of numbers; Orthogonal poly• method of; Legendre condition; Leg• Lie, S. see: Contact transformation; Analytic number theory; Average ro• nomials; Orthogonal series; Per• endre polynomials; Legendre sym• Continuous group; Differential ge• tation; Bessel equation; Binary qua• turbation theory; Potential theory; bol; Legendre theorem; Legendre ometry of manifolds; Engel theorem; dratic form; Biirmann-Lagrange Statistical decision theory transform; Mathematical symbols; Foundations of geometry; Geome• series; Cauchy problem, numeri• Lappo-Danilevskii, I.A. see: Analytic Minimal surface; Orthogonal series; try; Group; Integration of differen• cal methods for ordinary differen• theory of differential equations; Pi (number 1r ); Potential theory; tial equations in closed form; Leg• tial equations; Congruence mod• Boundary value problems of analytic Weierstrass elliptic functions endre manifold; Lie algebra; Lie al• ulo a prime number; d'Alembert• function theory; Fuchsian equation; Lehmann, E. see: Neyman structure; gebra, nilpotent; Lie algebra, solv• Lagrange principle; d' Alembert Matrix Unbiased estimator able; Lie group; Lie group, local; Lie

725 LIE, S.

group, solvable; Lie-Kolchin theo• Function; Functions of a real vari• Potential theory; Qualitative theory Markov, A.A. see: Abstraction, mathe• rem; Lie quadric; Lie theorem; Lie able, theory of; Geometry; Gravita• of differential equations; Singular matical; Abstraction of actual infin• transformation group; Linear alge• tion, theory of; Lobachevskii crite• point; Stability for a part of the ity; Algebraic number; Algorithm; braic gronp; Manifold; Minimal sur• rion (for convergence); Lobachevskii variables; Stability theory Algorithm, complexity of descrip• face; Semi-group of non-linear oper• function; Lobachevskii geometry; Lyons, R. see: Uniqueness set tion of an; Algorithmic problem; ators; Synthetic differential geome• Lobachevskii method; Mathemati• Lyustemik, L.A. see: Closed geodesic; Algorithms, theory of; Associative try; Topological algebra; Topological cal analysis; Mathematical symbols; Isoperimetric inequality, classical; calculus; Bar induction; Bernstein semi-gronp; Trotter product formula Projective geometry; Riemannian Variational calculus inequality; Computable function; Lieb, I. see: Leray formula geometry Computable invariant; Constructive Liebmann, E. see: Deformation, isomet• Lobatto, R. see: Lobatto quadrature analysis; Constructive functions of ric formula a real variable; Constructive mathe• Liebmann, H. see: Convex surface; De• Loewner, K. see: Bieberbach conjecture matics; Constructive selection prin• formation, isometric; Minimal sur• Logunov, A.A. see: Quantum field the- __M __ ciple; Constructive semantics; Con• face ory trol system; Diophantine approx• Lommel. E. see: Lommel function imations; Extremal properties of Lienard, A. see: Lienard-Chipart crite• Lomonosov. M.V. see: Gravitation Macaulay, F.S. see: Cohen-Macaulay polynomials; Formal mathematical rion; Lienard equation Longman, I.M. see: Longman method ring; Commutative algebra analysis; Functions of a real variable, Lifshits, M.S. see: Non-self-adjoint op• Looyenga, E. see: Character formula Macdonald, H.M. see: Macdonald func• theory of; Geometry of numbers; erator Lord Kelvin see: Curl; Kelvin functions; tion Group calculus; Hilbert space; Inde• Lifshitz, E. see: Routes to chaos Kelvin transformation Macdonald, I.G. see: Character for• pendence; Intuitionism; Law oflarge Lindeberg, J. W. see: Lindeberg-Feller Lord Rayleigh see: Isoperimetric mula; Root system numbers; Least squares, method of; theorem; Lyapunov theorem inequality; Rayleigh distribution; Mach, E. see: Mach number; Mach Limit theorems; Lyapunov theorem; Lindelof, E. see: Lindelof hypoth- Rayleigh equation; Ritz method principle; Variational principles of Markov chain; Markov criterion; esis; Lindelof principle; Lindelof Lorentz. H.A. see: Galilean transforma• classical mechanics Markov inequality; Markov process; summation method; Lindelof theo• tion; Lorentz force; Lorentz trans• Mackey, G.W. see: Homology of a dy• Markov spectrum problem; Mathe• rem; Phragmen-Lindelof theorem; formation namical system; Infinite-dimensional matical statistics; Moment problem; Residue of an analytic function Lorenz, E.N. see: Lorenz attractor; Me• representation; Mackey topology Moments, method of (in probability Lindemann, C.L.F. see: Analytic num• teorology, mathematical problems in MacLane, G.R. see: Cluster set theory); Normal algorithm; Nor• ber theory; Lindemann theorem; Pi Los, J. see: Categoricity in cardinality; MacLane, S. see: Category; Cohomol• mal form; Pade approximation; Post (number ,r); Quadrature of the cir• Model theory ogy of algebras; Eilenberg-MacLane production system; Proof theory; cle; Transcendental number Louis, L. see: Regularization method space; Integral object of a category; Representation of matrices, problem Lindenmayer. A. see: L-systems Low. E. see: Boundary properties of Product of a family of objects in a cat• of; Semantics; Stepwise semantic analytic functions Lindenstrauss, J. see: Vector measure egory; Representable functor; Uni• system; Topology, general; Universal L6wner. K. see: LOwner equation: versal property normal algorithm Linnik. Yu. V. sec: Additive divisor Lowner method: Parametric repre• MacLaurin, C. see: Algebra, funda• Markov, V.A. see: Extremal properties problem; Additive number the• sentation method; Univalent func• ory; Additive problems; Analytic mental theorem of; Cauchy crite• of polynomials; Functions of a real tion rion; Euler-MacLaurin formula; variable, theory of; Markov inequal• number theory; Behrens-Fisher Lucasiewicz. J. see: Calculus of classes; problem; Density method; Density MacLaurin formula; MacLaurin ity Many-valued logic series; Series theorems: Dispersion method: Dis• Markus, A.S. see: Non-self-adjoint op• Luce Pacioli, Fra see: Fra Luce Pacioli MacPherson, R. see: Intersection theory tribution of power residues and non• erator Liiroth, J. see: Liiroth problem Magnus, W. see: Lie algebra, free marquis de !'Hospital see: !'Hospital residues: Distribution of prime num• Luxemburg. W.A.J. see: Luxemburg Mahalanobis, P. see: Mahalanobis dis- rule bers; Hardy-Littlewood problem; norm tance Martin-Lof, P. see: Algorithmic infor• Independence; Large sieve; Limit Luzin, N.N. see: Analytic function; Mahler, K. see: Diophantine approx• mation theory; Constructive anal• theorems; Linnik discrete ergodic Analytic set; Axiomatic set theory; imations; Mahler problem; Waring ysis; Random and pseudo-random method; Mathematical statistics; Boundary properties of analytic Sieve method; Titchmarsh prob• problem numbers functions: Carleson theorem: Clus• Mahowald, M. see: Kervaire invariant lem; Unbiased estimator; Waring ter set; Denjoy-Luzin theorem: De• Martinelli, E. see: Analytic function; Mainardi, G. see: Bonnet theorem; problem scriptive set theory; Dini derivative; Bochner-Martinelli representation Peterson-Codazzi equations Liouville, J. see: Fractional integra• Dirichlet problem; Fourier series; formula; Residue of an analytic Malgrange, B. see: D-module tion and differentiation; Integral Functions of a real variable, the• function Malliavin, P. see: Miintz theorem; Spec• equation; Integration of differential ory of; Lebesgue integral; Luzin Masani, P. see: Stochastic processes, tral synthesis equations in closed form; Liouville C-property; Luzin criterion; Luzin prediction of Mal'tsev, A.I. see: Algebra; Alge- function; Liouville net; Liouville examples; Luzin hypothesis; Luzin Mascheroni, L. see: Geometric con• number; Liouville-Ostrogradski N -property; Luzin-Privalov theo• braic system; Algebraic systems, structions class of; Algorithmic problem; Al• formula: Liouville theorems; Or• rems; Luzin problem; Luzin sepa• Maslov, V.P. see: Generalized displace• gorithms, theory of; Elementary thogonal series; Riccati equation; rability principles; Luzin set; Luzin ment operators; Microlocal analysis; theory; Enumeration; Imhedding of Sturm-Liouville operator; Sturm• sieve; Luzin theorem; Measurable Semi-classical approximation rings; Imbedding of semi-groups; Liouville problem; Transcendental function; Metric theory of functions; Massau, J. see: Method of characteris• Levi-Mal'tsev decomposition; Lie number Orthogonal series; Peano curve; tics group; Lie-Kolchin theorem; Linear Riesz theorem; Separability of sets; Matheron, G. see: Integral geometry Lipschitz. R. sec: Differential geome• group; Mal'tsev algebra; Mal'tsev Suslin theorem; Topology, general; Mathieu, E. see: Mathieu equation; try of manifolds; Dini-Lipschitz cri• local theorems; Mathematical logic; Trigonometric series; Uniqueness terion; Fourier series; G-structure; Model theory; Proof theory; Recur• properties of analytic functions Mathieu, 0. see: Character formula Holder condition; Lipschitz condi• sive model theory; Solv manifold; tion Lyapunov, A.A. see: Theoretical pro• Matiyasevich, Yu.V. see: Algorithms, gramming Universal algebra; Wedderburn• Listing, J.B. see: Knot theory: Listing Mal'tsev theorem theory of; Diophantine set knot; Mobius strip Lyapunov, A.M. see: Asymptotically• Matsaev, V.I. see: Non-self-adjoint op• stable solution; Branching of solu• Mandelbrojt, S. see: Conjugate function Little, C. see: Knot theory Mandelbrot, B.B. see: Fractals erator tions; Centre and focus problem; Matsusaka, T. see: Picard variety Littlewood, J.E. see: Additive num• Characteristic function; Closed sys• Mandelstam, S. see: Quantum field the- ber theory; Analytic nnmher the• ory Matsushima, Y. see: Matsushima crite- tem of elements (functions); Geodesy, rion ory; Bieberbach conjecture; Borel mathematical problems in; Hill Mangold!, H. von see: von Mangoldt, H. Matsuyama, H. see: Finite group strong law of large numbers; Dio• equation; Limit theorems; Linear Manin, Yu.I. see: Diophantine equa• Matthys, J. see: Gregory formula phantine geometry; Distribution of ordinary differential equation; Lya• tions; Diophantine geometry; Galois prime numbers; Goldbach prob• punov characteristic exponent; Lya• cohomology Maupertuis, P.L.M. see: Lagrange prin- lem; Hardy-Littlewood criterion; punov function; Lyapunov-Schmidt Mann, H.B. see: Mann theorem; Mann- ciple; Maupertuis principle Hardy-Littlewood problem; Hardy• equation; Lyapunov stability; Lya• Whitney test Maurer, L. see: Linear algebraic group; Littlewood theorem; Im bedding the• punov stability theory; Lyapunov Manneville, P. see: Routes to chaos Maurer-Cartan form orems; Kolmogorov inequality; Lit• surfaces and curves; Lyapunov the• Manning, W. see: Permutation group Maxwell, J.C. see: Maxwell distribu• tlewood problem; Orthogonal series; orem; Lyapunov transformation; Marcinkiewicz, J. see: Law of the it- tion; Maxwell equations; Normal dis• Oscillations, theory of; Trigonomet• Mathematical physics; Mathemat• erated logarithm; Marcinkiewicz tribution ric sums, method of: Waring prob• ical statistics: Non-linear integral space; Orthogonal series Mayer, A. see: Mayer problem; Schot- lem; Weyl method: Zeta-function equation; Non-linear oscillations; Mardesic, S. see: Projection spectrum tky problem LobachevskiL N.I. see: Axiomatic Normal fundamental svstem of so• Mardzhanishvili, K.K. see: Hilbert• Mazur, B. see: Cyclotomic field; Topos method; Differential geometry; lutions: Orthogonal se~ies; Oscilla• Kamke problem Mazur, P. see: Langevin equation Elements of Euclid: Fifth pos• tions, theory of; Perturbation of a Margulis, G.A. see: Arithmetic group; Mazur, S. see: Banach-Mazur func- tulate; Foundations of geometry; linear system; Perturbation theory; Discrete subgroup tional; Isometric mapping

726 NOVIKOV, P.S.

Mazurkiewicz, S. see: Cantor mani• Minkowski, H. see: Binary quadratic Morrey, C.B. see: Plateau problem, Equilibrium relation; Exceptional fold; Descriptive set theory; Scat• form; Brunn-Minkowski theorem; multi-dimensional; Quasi-conformal value; Harmonic measure, princi• tered space; Sperner lemma Convex analysis; Convex surface; mapping ple of; Jensen formula; Moment McCarthy, J. see: Lisp Diophantine approximations; Dis• Morse, M. see: Closed geodesic; Differ• problem; Nevanlinna-Pick problem; McCulloch, W. see: Automaton crete subgroup; Games, theory of; ential geometry of manifolds; Morse Nevanlinna theorems; Subharmonic McEliece, R.J. see: Error-correcting Geometry; Geometry of numbers; theory function; Value-distribution theory code Linear inequality; Minkowski hy• Mortensen, R.E. see: Stochastic pro- Newcomb, S. see: Perturbation theory McGehee, O.C. see: Littlewood prob- pothesis; Minkowski inequality; cesses, filtering of Newelski, L. see: Stability theory (in lem Minkowski problem; Minkowski Moser, J. see: Quasi-periodic motion logic) Mcintosh, A. see: Cauchy integral space; Minkowski theorem; Quadra• Mostow, G.D. see: Discrete subgroup Newhouse, S.E. see: Routes to chaos Mclenaghan, R.G. see: Lacuna tic form Mostowski, A. see: Kleene-Mostowski Newlander, A. see: Almost-complex McMullen, P. see: Polyhedron Mirimanoff, D. see: Fermat great theo• classification; Quantifier structure Meakin, J. see: Clifford semi-group rem Moufang, R. see: Moufang loop; Quasi• Newman, E. see: Gravitation, theory of Mebkhout, Z. see: D-module Mises, R. von see: von Mises, R. group Newman, M. see: Manifold Medvedev, Yu. T. see: Finitary verifia- Mishchenko, A.S. see: Cobordism; Moulton, F.R. see: Differential equa• Newton, I. see: Analytic geometry; bility Spectral sequence tions, ordinary, approximate meth• Binomial series; Cartesian coor• Meeks, W.F. see: Tight and taut immer• Mishchenko, E.F. see: Differential ods of solution of dinates; Complex number; Cotes sions games; Relaxation oscillation Mozzochi, C.J. see: Distribution of formulas; Differential calculus; Dy• Meeks, W.H. see: Plateau problem, Mitropol'skil, Yu.A. see: Krylov- prime numbers namics; Function; Geodesy, math• multi-dimensional Bogolyubov method of averaging Muchnik, A.A. see: Recursive set theory ematical problems in; Gravitation; Megiddo, N. see: Linear programming Mittag-Leffler, G. see: Mittag-Leffler Mulvey, C.J. see: Multiplicative lattice Gravitation, theory of; Infinitesimal Mehler, F.G. see: Mehler-Fock trans• function; Mittag-Leffler summation Mumford, D. see: Abeliau variety; Al- calculus; Integral calculus; Inter• form; Mehler quadrature formula method; Mittag-Leffler theorem; gebraic curve; Algebraic surface; polation; Mathematical analysis; Meier, K. see: Cluster set; Meier theo- Star of a function element; Umbra! Mumford hypothesis; Tate curve Mathematical logic; Mathemati• rem calculus Miintz, H. see: Miintz theorem cal model; Mathematical physics; Meijer, C.S. see: Meijer transform Miura, R.M. see: Soliton Miinzer, H.-F. see: Tight and taut im• Mathematical symbols; Newton bi• Meixner, J. see: Umbra! calculus Mizohata, S. see: Microlocal analysis mersions nomial; Newton-Cotes quadrature Menaechmus see: Duplication of the Mobius, A.F. see: ; Murphy, R. see: Mathematical symbols formula; Newton diagram; New• cube Barycentric coordinates; Conformal Muskhelishvili, N.I. see: Analytic func• ton interpolation formula; Newton Menger, K. see: Cantor manifold; Di• geometry; Group; Helical calcu• tion; Biharmonic function; Elasticity laws of mechanics; Newton-Leibniz mension; Dimension theory; Induc• lus; Homeomorphism; Manifold; theory, planar problem of; Singular formula; Newton method; Number; tive dimension; Local decomposition; Miibius function; Mobius plane; integral equation Plane real algebraic curve; Potential Menger curve; Metric space; Topol• Miibius series; Mobius strip; Projec• Myrberg, P.J. see: Universal behaviour theory; Real number; Series ogy, general tive geometry in dynamical systems Neyman, A. see: Stochastic game Men'shov, D.E. see: Analytic func• Mohr, G. see: Geometric constructions Neyman, J. see: Likelihood-ratio test; tion; Composite function; du Bois• Moishezon, B. see: Algebraic space Mathematical statistics; Neyman Reymond theorem; Men'shov ex• Moivre, A. de see: de Moivre, A. method of confidence intervals; ample of a zero-series; Men'shov• Mokobodzki, G. see: Egorov theorem; Neyman-Pearson lemma; Neyman Rademacher theorem; Metric theory Luzin N-property __N __ structure; Power function of a test; of functions; Orthogonal series; Or• Moler, C.B. see: Gauss method Similarity region thogonalization of a system of func• Molin, S.E. see: Rings and algebras Nikitin, V. see: Elements of Euclid tions; Series; Trigonometric series; Molodenskil, M.S. see: Geodesy, math- N achbin, L. see: Topological structures Nikodym, O.M. see: Radon-Nikodym Uniqueness set ematical problems in Nachtergaele, B. see: Quantum stochas• theorem Meray, Ch. see: Number Monge, G. see: Analytic geometry; Dif• tic processes Nikol'skil, S.M. see: Approximation of Mercer, J. see: Mercer theorem ferential geometry; Euler-Lagrange Nagata, J. see: Space of mappings, topo- functions; Approximation of func• Mergelyan, S.N. see: Analytic function; equation; Geometry; Minimal sur• logical tions, direct and inverse theorems; Mergelyan theorem face; Monge-Ampere equation; Nagata, M. see: Algebraic variety Approximation of functions, ex• Merkle, R.C. see: Cryptology Monge cone; Monge equation; Pro• Nagel, Ch. see: Nagel point tremal problems in function classes; Merkurev, A.S. see: Cohomology of al• jective geometry Nalmark, M.A. see: Diagonal ring; Approximation theory; Extension gebras Monro, S. see: Recursive estimation; Infinite-dimensional representation; theorems; Functions of a real vari• Mersenne, M. see: Mersenne number Stochastic approximation Krein space; Non-self-adjoint opera• able, theory of; Nikol'skii space Merson, R.H. see: Kutta-Merson Montague, R. see: Formalized lan• tor; Quantum probability Nirenberg, L. see: Almost-complex method guage; Mathematical linguistics Nakano, H. see: Yosida representation structure Mertens, J.F. see: Stochastic game Monte!, P. see: Compactness principle; theorem Nitsche, J.C.C. see: Plateau problem Metropolis, N. see: Universal behaviour Monte! theorem Nakano, J. see: Kodaira theorem Noether, E. see: Additive theory of in dynamical systems Montgomery, D. see: Lie group; Lie Nambooripad, K.S.S. see: Clifford semi• ideals; Algebra; Algebraic vari• Meusnier, J. see: Euler-Lagrange equa• transformation group; Topological group ety; Brauer group; Commutative tion; Meusnier theorem; Minimal group Napier, J. see: Arithmetic; Logarithmic algebra; Hilbert theorem; Jordan• surface Montgomery, H.L. see: Complex inte• function Holder theorem; Lasker ring; Mod• Meyer, P.A. see: White noise analysis gration, method of; Density hypoth• Narumi, S. see: Umbra! calculus ule; Noether problem; Noether theo• Meyer, W. see: Closed geodesic esis; Distribution of prime numbers Nash, J. see: Arbitration scheme; Im• rem; Noetherian group; Noetherian Meyer, Y. see: Cauchy integral; Wavelet Montmort, P. see: Classical combinato• plicit function; Multi-criterion prob• ring; Primary decomposition; Rings analysis rial problems lem; Nash theorem (in game theory); and algebras Micali, S. see: Cryptology Moody, R. V. see: Kac-Moody algebra Nash theorems (in differential geom• Noether, F. see: Noetherian integral Michael, E. see: Hyperspace Moore, E.H. see: Partially ordered set; etry) equation; Singular integral equation Mikhaflov, A. V. see: Mikhaflov crite- Topological structures Nasireddin see: Number Noether, M. see: Algebraic function; Al• rion Moore, J.C. see: Topology, general Na vier, L. see: Navier-Stokes equations gebraic geometry; Algebraic surface; Mikhlin, S.G. see: Calder6n-Zygmund Moore, R.L. see: Topology, general Nazarova, L.A. see: Representation of a Geometric genus; Noether-Enriques operator Mardell, L.J. see: Diophantine geome- partially ordered set theorem Mikusinski, J. see: Operational calculus try; Mordell conjecture; Ramanujan Nehari, Z. see: Schwarzian derivative Nomizu, K. see: Class Miles, R.E. see: Integral geometry function Neil, W. see: Neil parabola Norden, A.P. see: Affine differential ge• Milgram, A. see: Kervaire invariant Mordukhal-Boltovskil, D.D. see: Nekrasov, A.I. see: Nekrasov integral ometry; Net (in differential geome• Milin, J.M. see: Bieberbach conjecture Elements of Euclid equation; Waves try); Projective differential geometry Milloux, H. see: Extension of domain, Moreau, J. see: Conjugate function Nemirovskil, A.S. see: Linear program• Norguet, F. see: Domain ofholomorphy; principle of Morera, G. see: Morera theorem ming Levi problem Mills, R.L. see: Yang-Mills field Morgan, A. de see: de Morgan, A. Nemytskil, V.V. see: Saddle at infinity Norlund, N.E. see: Bernoulli poly• Milne, E. see: Differential equations, Morgenstern, 0. see: Games, theory of; Neron, A. see: Diophantine geome• nomials; Compatibility of summa• ordinary, approximate methods of Utility theory try; Hilbert theorem; Neron model; tion methods; Voronoi summation solution of; Milne problem Mori, S. see: Ample sheaf; Minimal Neron-Severi group method Milnor, J.W. see: Frobenius theorem; model Neumann, C.G. see: Integral equation; Novak, I. see: Luzin problem Kervaire invariant; Milnor sphere; Morikawa, H. see: Tate curve Neumann function; Neumann prob• Novikov, P.S. see: Algorithmic problem; Morse surgery; Tight and taut im• Morita, K. see: Dimension theory; lem; Neumann series Algorithms, theory of; Axiomatic set mersions Feathered space; Morita equivalence Neumann, H. see: Amalgam theory; Burnside problem; Con• Minding, F. see: Differential geome• Morlet, J. see: Wavelet analysis Neumann, J. von see: von Neumann, J. structive selection principle: De• try; Levi-Civita connection; Negative Morley, F. see: Trisection of an angle Neuwirth, L. see: Neuwirth knot scriptive set theory; Functions of a curvature, surface of; Parallel dis• Morley, M.D. see: Categoricity in car- Nevanlinna, R. see: Boundary proper- real variable, theory of; Group cal• placement dinality; Stability theory (in logic) ties of analytic functions; Cluster set; culus; Intuitionism; Mathematical

727 NOVIKOV, P.S.

logic; Proof theory; Separability of Pareto, W. see: Pareto distribution Pick, G. see: Nevanlinna-Pick problem; Poincare complex; Poincare conjec• sets Parseval, M. see: Closed system of el• Pick theorem ture; Poincare equations; Poincare Novikov, S.P. see: Foliation; Pontryagin ements (functions); Orthogonal se• Pidduck, F.B. see: Umbra! calculus group; Poincare last theorem; class; Spectral sequence; Topology of ries; Parseval equality Pieri, M. see: Foundations of geometry Poincare model; Poincare prob• manifolds Parshin, A.N. see: Mordell conjecture Pierpont, J. see: Pierpont variation lem; Poincare return map; Poincare Nusselt, W. see: Nusselt number Parthasarathy, K.R. see: Quantum Pigno, L. see: Littlewood problem return theorem; Poincare sphere; Nyikos, P. see: Refinement; Topology, stochastic processes Pillai, S. see: Waring problem Poincare theorem; Poisson stabil• general Pascal, B. see: Arithmetic; Binomial Pincuk, S. see: Biholomorphic mapping ity; Qualitative theory of differential Nyquist, H. see: Nyquist criterion coefficients; Combinatorial analysis; Pinkall, U. see: Tight and taut immer- equations; Quasi-periodic motion; Conic sections; Games, theory of; sions Residue of an analytic function; Pascal lima~on; Pascal theorem; Pas• Pinkus, A. see: Approximation of func• Riemann surface; Riemannian ge• cal triangle; Projective geometry tions, extremal problems in function ometry in the large; Singular in• Pascal, E. see: Pascal lima~on classes tegral ' equation; Singular point; __Q __ Pasch, M. see: Axiomatic method; Pintz, J. see: Distribution of prime num- Space forms; Subharmonic func• Foundations of geometry; Pasch bers tion; Theta-function; Theta-series; axiom Pisa, Leonardo da see: Leonardo da Pisa Three-body problem; Uniformiza• Oda, T. see: Gauss-Manin connection Pasynkov, B.A. see: Projection spec• Pitman, E. see: Pitman estimator tion; Upper-and-lower-functions Odlyzko, A.M. see: Leech lattice trum Pitts, W. see: Automaton method Ogasawara, T. see: Yosida representa- Pauli, W. see: Bose-Einstein statistics; Plancherel, M. see: Harmonic anal• Poinsot, L. see: Helical calculus; Statics tion theorem ; Quantum field theory ysis, abstract; Orthogonal series; Poiseuille, J.L.M. see: Poiseuille flow Oka, K. see: Analytic function; Domain Peacock, G. see: Number Plancherel theorem Poisson, S.D. see: Abel-Poisson sum- of holomorphy; Levi problem; Oka Peano, G. see: Area; Arithmetic; Ax• Planck, M. see: Planck constant mation method; Dirichlet discontin• theorems iomatic method; Foundations of ge• Plateau, J. see: Minimal surface; uous multiplier; Law of large num• 0ksendal, B. see: Harmonic measure ometry; Homeomorphism; Integral Plateau problem bers; Limit theorems; Mathematical Okubo, S. see: Lie-admissible algebra equation; Jordan measure; Linear Plato see: Amicable numbers; Platonic statistics; Minimal surface; Navier• Olovyanishnikov, S.P. see: Convex sur- operator; Mathematical logic; Num• solids Stokes equations; Perturbation the• face ber; Peano axioms; Peano curve; Platonov, V.P. Rationality ory; Poisson brackets; Poisson distri• Ol'shanskil, A. Yu. see: Burnside prob- Peano derivative; Peano theorem; see: theorems bution; Poisson equation; Poisson in• lem Upper-and-lower-functions method; Platrier, Ch. see: Integral equation tegral; Poisson theorem; Robin prob• Oort, F. see: Picard variety Plemelj, J. see: Boundary value lem; Umbra! calculus Ore, 0. see: Graph, planar; Lattice Pearson, E.S. see: 'Chi-squared' dis• problems of analytic function the• Pol, B. van der see: van der Pol, B. Oresme, N. see: Coordinates tribution; Likelihood-ratio test; ory; Fuchsian equation; Riemann• Orlicz, W. see: Orlicz class; Orlicz Neyman-Pearson lemma; Power Hilbert problem; Sokhotskii formu• Pol, R. see: Infinite-dimensional space space; Unconditional summability function of a test; Similarity region las Pollaczek, F. see: Queueing theory Ornstein, D.S see: Entropy theory of a Pearson, K. see: Coefficient of vari• Plessner, A.I. see: Cluster set; Pollak, H.O. see: Uncertainty principle dynamical system; Ornstein-Chacon ation; Mathematical statistics; Mo• Kolmogorov-Seliverstov theorem Pollard, H. see: Orthogonal series ergodic theorem ments, method of (in probability the• Plucker, J. see: Algebraic geometry; P61ya, G. see: Interpolation; Polya dis- Ornstein, L.S. see: Langevin equation; ory); Normal distribution; Pearson Helical calculus; Manifold; Pliicker tribution; Polya theorem Ornstein-Uhlenbeck process curves coordinates; Pliicker formulas; Pomeau, Y. see: Routes to chaos Orr, W. see: Orr-Sommerfeld equation Peclet, J. see: Peele! number Pliicker interpretation; Projective Pommerenke, C. see: Bieberbach con• 0rsted, B. see: Lacuna Pedlosky, J. see: Meteorology, mathe• geometry jecture; Coefficient problem Oseledets, V.I. see: Multiplicative er• matical problems in Pochhammer, L. see: Pochhammer Pompeiu, D. see: Cauchy integral equation godic theorem Peirce, B. see: Module; Number; Peirce Poncelet, -J.V. see: Geometric construc• Pogorelov, A. V. see: Desargues geome• Ostrogradski, M.V. see: Dynam- decomposition; Rings and algebras tions; Projective geometry try; Geometry in the large; Isomet• ics; Fourier method; Hamilton• Peirce, C.S. see: Algebra oflogic; Math- Ponomarev, V.I. see: Projection spec• ric immersion; Minkowski problem; Ostrogradski principle; Hamilto• ematical logic; Peirce arrow trum Pelant, J. see: Uniform space Projective metric; Wey! problem nian system; Liouville-Ostrogradski Pontryagin, L.S. see: Automatic control Pell, J. Pell equation Pohlke, K. see: Pohlke-Schwarz theo• formula; Mathematical physics; Os• see: theory; Bordism; Cech cohomology; trogradski formula; Penrose, R. see: Cosmological mod• rem Ostrogradski Cobordism; Differential equations, method; Variational principles els; Gravitation, theory of; Poincare, H. see: Algebraic geometry; of Pseudo• ordinary, with distributed argu• classical mechanics; Riemannian space Algebraic surface; Arc, contact• Virtual dis• ments; Differential games; Duality; placements, principle of Perron, 0. see: Conditional stability; less (free); Asymptotic expansion; Dynamic programming; Harmonic Ostrowski, A. see: Commutative alge• Perron-Frobenius theorem; Perron Automorphic function; Axiomatic analysis, abstract; Hilbert space with bra integral; Perron method; Perron method; Balayage method; Bertrand an indefinite metric; Homological di• Oughtred, W. see: Mathematical sym• transformation; Upper-and-lower• paradox; Birkhoff-Witt theorem; mension of a space; Kervaire invari• bols functions method Boundary value problems in poten• ant; Krein space; Lie algebra of an Oystaeyen, F. van see: van Oystaeyen, Pervushin, I.M. see: Mersenne number tial theory; Boundary value prob• analytic group; Lie group; Obstruc• F. Peter, F. see: Harmonic analysis, ab• lems of analytic function theory; tion; Optimal control, mathematical Ozawa, T. see: Tight and taut immer• stract; Peter-Wey! theorem Brouwer theorem; Centre and focus theory of; Pontryagin class; Pontrya• sions Petersen, J. see: problem; Classical celestial me• gin maximum principle; Pontryagin Peterson, K.M. see: Deformation over chanics, mathematical problems in; space; Pontryagin surface; Projec• a principal base; Differential geom• Closed geodesic; Constructive math• tive geometry; Qualitative theory of etry; Minimal surface; Peterson• ematics; Continuation method (to a differential equations; Relaxation Codazzi equations; Peterson corre• parametrized family); Continuous oscillation; Rough system; Singu• __p __ spondence; Peterson surface group; Cubic form; de Rham the• larities of differentiable mappings; Petersson, H. see: Quadratic form; Ra- orem; Differential equations on a manujan hypothesis torus; Differential form; Differential Space with an indefinite metric; Spheres, homotopy Pacioli, Fra Luce see: Fra Luce Pacioli Petri, C. see: Petri net topology; Dimension; Diophantine groups of the; Stability theory; Pade, H. see: Pade approximation Petrov, A.Z. see: Kerr metric geometry; Dirichlet problem; Dis• Topological alge• Page, A. see: Page theorem Petrovskil, I.G. see: Lacuna crete group of transformations; Dis• bra; Topological group; Uniform Painleve, P. see: Boundary proper• Petrushevskil, F. see: Elements of Eu- crete subgroup; Dodecahedral space; space; Variational calculus; Width ties of analytic functions; Cluster clid Duality; Dynamics; Fuchsian equa• Poretskil, P.S. see: Algebra of logic set; Painleve equation; Painleve Pettis, B.J. see: Pettis integral tion; Fuchsian group; Homeomor• Post, E.L. see: Algorithm; Algorith• problem; Parameter-introduction Pfaff, J. see: Pfaffian equation; Pfaffian phism; Homology group; Homology mic problem; Algorithmic reducibil• method; Removable set; Star of a problem of a polyhedron; Homology theory; ity; Algorithms, theory of; Associa• function element Philippon, P. see: Transcendental num- Icosahedral space; Integral equa• tive calculus; Boolean function; Cal• Palamodov, V.P. see: Locally convex ber tion; Integral invariant; Intuition• culus; Computable function; Many• space Phillips, B.L. see: Ill-posed problems ism; Invariant set; Irregular singu• valued logic; Mathematical theory Paley, R. see: Orthogonal series Phillips, R.S. see: Krein space lar point; Isoperimetric inequality; of computation; Post canonical sys• Palfy, P.P. see: Lattice Phragmen, E. see: Phragmen-Lindeliif Kleinian group; Lagrange stabil• tem; Post class; Post production sys• Palm, C. see: Queueing theory theorem ity; Lobachevskii geometry; Mani• tem; Recursive set theory; Turing Papperitz, E. see: Papperitz equation; Picard, E. see: Algebraic geometry; fold; Non-linear oscillations; Non• machine; Zhegalkin algebra Riemann differential equation Algebraic surface; Cauchy problem; predicative definition; Normal form; Postnikov, M.M. see: Postnikov square; Parasyuk, O.S. see: Quantum field the• Integral equation; Iversen theorem; Oscillations, theory of; Parameter, Postnikov system ory; Renormalization Linear algebraic group; Picard theo• method of variation of the; Pertur• Prandtl, L. see: Boundary layer; Prandtl Pardoux, E. see: Stochastic processes, rem; Picard variety; Rationality the• bation theory; Poincare-Bendixson equation; Prandtl number filtering of orems theory; Poincare-Bertrand formula; Priestley, H.A. see: Distributive lattice

728 SCHINZEL, A.

Prince, P.J. see: Cauchy problem, nu• Read, C.J. see: Spectral theory Riese, A. see: Arithmetic Routh, E.J. see: Routh-Hurwitz crite- merical methods for ordinary differ• Reckhow, R.A. see: Algorithm Riesz, F. see: Banach space; Bound• rion; Routh theorem ential equations; Differential equa• Recorde, R. see: Mathematical symbols ary properties of analytic functions; Roy, P. see: Dimension tions, ordinary, approximate meth• Reeb, G. see: Foliation Cluster set; Completely-continuous Rubin, K. see: Diophantine geometry ods of solution of; Kutta-Merson Rees, D. see: Semi-group operator; Fourier series; Fredholm Rubinstein, L. see: Stefan problem method Reid, J.K. see: Conjugate gradients, equation; Hardy classes; Harmonic Riickert, W. see: Analytic space Pringsheim, A. see: Continuous fraction method of analysis, abstract; Hilbert space; Rudin, M.E. see: Normal space Privalov, I.I. see: Analytic function; Reidemeister, K. see: Knot theory; Rei• Integral equation; Orthogonal se• Rudin, W. see: Orthogonal series Boundary properties of analytic demeister torsion ries; Riesz-Fischer theorem; Riesz Rudolff, Ch. see: Mathematical sym- functions; Cluster set; Fourier series; Relfenberg, E.R. see: Plateau problem, inequality; Riesz product; Riesz bols Golubev-Privalov theorem; Luzin multi-dimensional space; Riesz theorem; Spectral the• Rudolff, K. see: Mathematical symbols examples; Luzin-Privalov theorems; Reiten, I. see: Representation of an as• ory; Subharmonic function; von Ruelle, D. see: Routes to chaos Privalov theorem; Riemann-Hilbert sociative algebra Neumann ergodic theorem Ruffini, P. see: Algebra; Horner scheme problem; Riesz theorem; Sokhotskii Rellich, B. see: Commutation and anti• Riesz, M. see: Boundary properties of Rumsey, H. see: Error-correcting code formulas; Uniqueness properties of commutation relationships, repre• analytic functions; Closed system of Runge, C. see: Runge-Kutta method; analytic functions sentation of elements (functions); Cluster set; du Runge rule; Runge theorem Prokhorov, Yu. V. see: Levy-Prokhorov Remak, R. see: Kroll-Remak-Schmidt Bois-Reymond theorem; Hilbert in• Russell, B. see: Algebra of logic; metric theorem equality; Holder inequality; Interpo• Antinomy; Axiomatic set theory; Pshenichnyi, B.N. see: Differential Remorov, P. see: Fermat great theorem lation of operators; Moment prob• Logicism; Mathematical logic; Non• games Restrepo, R. see: Drawing room game lem; Orlicz space; Orthogonal se• predicative definition; Proof theory; Ptolemy see: Coordinates Reynolds, 0. see: Poiseuille flow; ries; Riesz convexity theorem; Riesz Reducibility axiom; Types, theory Pudlak, P. see: Lattice Reynolds number; Turbulence, inequality; Riesz interpolation for• of; Zermelo axiom Puiseux, V. see: Newton diagram; Rie• mathematical problems in mula; Riesz potential; Riesz summa• Ruston, A.F. see: Nuclear operator mann surface Rham, G. de see: de Rham, G. tion method; Riesz theorem Ryan, P.J. see: Tight and taut immer• Pyatetskii-Shapiro, I.I. see: Arithmetic Ribaucour, A. see: Ribaucour congru- Rigby, J .F. see: Miibius plane sions group; Automorphic function; Dis• ence; Ribaucour curve Rinow, W. see: Hopf-Rinow theorem crete subgroup; Siegel domain Ribet, K. see: Fermat great theorem Ritt, J.F. see: Differential algebra; Lie Ricatti, V. see: Mathematical symbols algebra, local Riccati, J. see: Riccati equation Ritz, W. see: Ritz method Ricci, G. see: Covariant differentiation; Rivest, R.L. see: Cryptography; Cryp• __ s __ Differential geometry of manifolds; tology _Q_ Manifold; Ricci identity; Ricci ten• Robba, Ph. see: Lindemann theorem sor; Tensor calculus Robbins, H. see: Recursive estimation; Saccheri, G. see: Fifth postulate; Leg• Richardson, L.F. see: Chebyshev iter• Stochastic approximation endre theorem; Saccheri quadrangle ation method; Meteorology, mathe• Saint-Venant, A. see: Isoperimetric in• Quetelet, A. see: Caustic; Descartes Robertson, H.P. see: Uncertainty prin• matical problems in; Richardson ex• equality oval; Mathematical statistics ciple trapolation Saint-Venant, B. see: Navier-Stokes Quillen, D. see: Cobordism; Rational Robertson, N. see: of a graph; Richert, H. see: Distribution of prime equations homotopy theory; Stability theorems Partially ordered set numbers Saito, M. see: D-module in algebraic K-theory Robertson, S.A. see: Constant width, Rickart, C.E. see: Rickart ring Sakhnovich, L.A. see: Non-self-adjoint Quine, W. see: Antinomy; Axiomatic set body of Riemann, B. see: Abelian integral; operator theory Roberval, G. see: Gravitation Abelian variety; Algebraic function; Sakovich, G. see: Distribution, type of Robin, G. see: Robin problem; Third Algebraic geometry; Analytic func• Saks, S. see: Denjoy theorem on deriva• boundary value problem tion; Analytic manifold; Analytic tives Robinson, A. see: Algebraic system; number theory; Boundary value Salmon, G. see: Algebraic geometry Mathematical analysis; Mathemati• problems of analytic function the• Saltman, D.J. see: Division algebra; cal logic; Model theory __ R __ ory; Cauchy-Riemann conditions; Noether problem Robinson, R. see: Landau theorems Chart; Complex integration, method Sarnelson, H. see: Tight and taut im• Roch, E. see: Algebraic geometry; of; Deformation; Differential equa• mersions Riemann-Roch theorem Raabe, J.L. see: Bernoulli polynomials; tion, partial, variational methods; Samuel, P. see: Algebraic geometry; Raabe criterion Differential geometry; Differential Rodemich, E.R. see: Error-correcting Commutative algebra; Divisor class Rabin, M. see: Group calculus geometry of manifolds; Distribu• code group; Proximity space Rackoff, C. see: Cryptology tion of prime numbers; Extension Rodrigues, 0. see: Rodrigues formula Sansuc, J.J. see: Galois cohomology Radau, R. see: Radau quadrature for• theorems (in analytic geometry); Rogosinski, W. see: Bernstein- Santilli, R.M. see: Lie-admissible alge• mula Foundations of geometry; Fourier Rogosinski summation method; bra Rademacher, H. see: Landau theorems; series; Fractional integration and Bieberbach-Eilenberg functions Sard, A. see: Sard theorem Men'shov-Rademacher theorem; differentiation; Functions of a com• Roller, V.A. see: Representation of an Sato, M. see: D-module; Hyperfunc• Metric theory of functions; Orthog• plex variable, theory of; Functions associative algebra tion; Microlocal analysis onal series; Partition; Rademacher of a real variable, theory of; G• Rokhlin, V.A. see: Approximation by Saussure, F. de see: de Saussure, F. system structure; Geometry; Gravitation, periodic transformations; Bordism Scarf, H. see: Brouwer theorem; Con• Rado, T. see: Plateau problem; Priifer theory of; Green formulas; Har• Rolle, M. see: Rolle theorem tinuation method (to a parametrized surface monic analysis, abstract; Harmonic Romanov, A. V. see: Leray formula family) Radon, J. see: Radon measure; Radon• form; Implicit function (in alge• Romanov, N.P. see: Shnirel'man Schafer, R.D. see: Genetic algebra Nikodym theorem; Radon trans• braic geometry); Integral; Integral method Schauder, J. see: Basis; Faber-Schauder form; Tomography calculus; Interior geometry; Mani• Romanovskil, V.I. see: Mathematical system; Fredholm equation; Integral Ralkov, D.A. see: Local approximation fold; Mathematical physics; Mathe• statistics equation; Linear elliptic partial dif• of functions matical symbols; Minimal surface; Romanovskil, V.T. see: Behrens-Fisher ferential equation and system; Or• Rajchman, A. see: Trigonometric series Moduli theory; Papperitz equation; problem thogonal series; Schauder method; Ramanujan, S. see: Ramanujan func• Plateau problem; Riemann deriva• Romherg, W. see: Richardson extrapo• Schauder theorem tion; Ramanujan hypothesis; Ra• tive; Riemann function; Riemann lation; Romberg method Scheeffer, L. see: Rectifiable curve manujan sums geometry; Riemann-Hilbert prob• Rosenberg, A. see: Cohomology of alge• Scheffe, H. see: Bejirens-Fisher prob• Ramirez de Arellano, E. see: Analytic lem; Riemann-Hurwitz formula; bras lem; Multiple comparison; Neyman function; Leray formula Riemann hypotheses; Riemann in• Rosenlicht, M. see: Picard variety structure Ramis, J.-P. see: D-module tegral; Riemann method; Riemann• Rosser, J.B. see: Elementary theory; >.• Scherk, H. see: Minimal surface; Ramsey, F.P. see: Antinomy; Ramsey Roch theorem; Riemann-Schwarz calculus Scherk surface theorem; Selection theorems principle; Riemann-Schwarz sur• Rota, G.C. see: Partially ordered set Schickard, W. see: Arithmetic Range, R.M. see: Leray formula face; Riemann summation method; Roth, A. see: Approximation of func• Schiffer, M.J. see: Bieberbach conjec• Rankine, W. see: Shock waves, mathe• Riemann surface; Riemann surfaces, tions of a complex variable ture; Coefficient problem; Internal matical theory of conformal classes of; Riemann ten• Roth, K.F. see: Analytic number theory; variations, method of; Variation• Rao, C.R. see: Asymptotically-efficient sor; Riemann theorem; Riemann Diophantine approximation, prob• parametric method; Variational estimator; Rao-Cramer inequality theta-function; Riemannian domain; lems of effective; Liou ville theorems; principles (in complex function the• Rashevskii, P.K. see: Integral geometry Riemannian geometry; Riemannian Thue method; Thoe-Siegel-Roth ory) Rayleigh, Lord see: Lord Rayleigh space; Saddle point method; Schot• theorem Schiffer, M.M. see: Bieberbach conjec• Raynaud, M. see: Abelian variety; Ko- tky problem; Schwarz symmetric Rothe, E. see: Cauchy problem, numer• ture; Variation of a univalent func• daira theorem derivative; Series; Shock waves, ical methods for ordinary differential tion Razborov, A.A. see: Monotone Boolean mathematical theory of; Space; equations Schild, A. see: Discrete space-time function Trigonometric series; Zeta-function Rouche, E. see: Rouche theorem Schinzel, A. see: Dirichlet £-function

729 SCHLAFLI,L.

Schliifli, L. see: Higher-dimensional ge• subgroup; Distribution of prime theorems; Minkowski theorem; Qua• Sonin, N.Ya. see: Bernoulli polynomi• ometry; Isometric immersion; Janet numbers; Elementary number the• dratic form; Siegel domain; Siegel als; Sonin integral theorem; Schliifli integral; Sonin in• ory; Selberg sieve; Zeta-function method; Siegel theorem; Small de• Souriau, J.-M. see: Contact structure tegral Seliverstov, G.A. see: Kolmogorov• nominators; Thoe method; Thue• Spearman. C. see: Spearman coefficient Schlickewei, H.P. see: Thue-Siegel• Seliverstov theorem Siegel-Roth theorem; Transcenden• of rank correlation Roth theorem Selling, E. see: Quadratic forms, reduc• tal number Specker, E. see: Constructive analysis; Schmid, W. see: Period mapping tion of Sierpinski, J. see: Scattered space Specker sequence Schmidt, E. see: Branching of solu• Serre, J.-P. see: Abstract algebraic ge• Sierpinski, W. see: Analytic number Spector, C. see: Formal mathematical tions; Fredholm equation; Hilbert• ometry; Algebraic geometry; Alge• theory; Axiomatic set theory: Cir• analysis; Intuitionism; Proof theory Schmidt integral operator; Hilbert braic surface; Algebraic variety; An• cle problem; Descriptive set theory; Spencer, D.C. see: Deformation; Neu- space; Integral equation; Integral alytic function; Analytic geometry; Kuratowski set; Line (curve); Peano mann 8-problem equation with symmetric kernel; Commutative algebra; Cousin prob• curve; Sierpinski curve; Topology, Sperner, E. see: Sperner lemma Isoperimetric inequality, classical; lems; Fermat great theorem; Galois general Sprindzhuk, V.G. see: Mahler problem Lyapunov-Schmidt equation; Non• cohomology; Homology group; Pro• Silver, J. see: Aleph Stanton, Th. see: Stanton number linear integral equation jective module; Representable func• Simons, J. see: Plateau problem, multi- Staudt, K. von see: von Staudt, K. Schmidt, W.M. see: Diophantine ap• tor; Serre fibration; Sheaf theory dimensional Stechkin, S.B. see: Jackson inequality proximation, problems of effective; Serret, J. see: Algebra; Permutation Simpson, Th. see: Simpson formula Steenrod, N.E. see: Aleksandrov-Cech Diophantine approximations; Thue• group Simson, R. see: Simson straight line homology and cohomology; Ho• Siegel-Roth theorem Severi, F. see: Algebraic curve; Alge• Sintsov, D.M. see: Bernoulli polynomi- mology theory; Pontryagin duality; Schneider, T. see: Transcendental num• braic geometry; Algebraic surface; als Steenrod duality; Steenrod opera• ber Arithmetic genus; Brauer-Severi va• Sitnikov, K.A. see: Pontryagin duality tion; Steenrod problem; Steenrod Schoenberg, I.J. see: Kolmogorov in• riety; Neron-Severi group Sklyanin, E.K. see: Yang-Baxter equa• square equality; Spline Seymour, P.O. see: Minor of a graph; tion Stefan, J. see: Stefan-Boltzmann law; Schoenflies, A. see: Crystallographic Partially ordered set Skoda, H. see: Boundary properties of Stefan condition; Stefan problem group; Schoenflies conjecture; Shafarevich, I.R. see: Algebraic number analytic functions Stein, C. see: Hunt-Stein theorem Topology of imbeddings theory; Galois theory, inverse prob• Skolem, T. see: Analytic space; Dio• Stein, G. see: H 00 control theory Schiinfinkel, M. see: Combinatory logic; lem of; Lie p-algebra; Plane real al• phantine geometry; Pseudo-Boolean Stein, K. see: Analytic space; Stein A-calculus gebraic curve; Reciprocity laws algebra; Skolem function manifold Schottky, W. see: Abelian function; Shamir, A. see: Cryptography; Cryp• Sloane, N .J .A. see: Leech lattice Stein, M.L. see: Universal behaviour in Schottky problem tology Slutskii, E.E. see: Mathematical statis• dynamical systems Schouten, J .A. see: Conformal Eu• Shaneson, J.L. see: Autonomous system tics; Stationary stochastic process Stein, P.R. see: Universal behaviour in clidean space Shanin, N.A. see: Constructive analysis; Smale, S. see: Hyperbolic set; dynamical systems Schreier, 0. see: Extension of a group; Math• Constructive semantics ematical economics; Morse-Smale Steinberg, R. see: Chevalley group Jordan-Holder theorem; Schreier Shannon, C.E. see: Coding, alphabet• Steiner, J. see: Classical combinato• system system; Qualitative theory of dif• ical; Coding and decoding; Cryp• rial problems; Geometric construc• Schroder, E. see: Lattice ferential equations; Rough system; tology; Error-correcting code; Infor• Y-system tions; Isoperimetric inequality, clas• Schriidinger, E. see: Coherent states; mation; Information theory; Infor• Smetaniuk, sical; Projective geometry; Steiner Schriidinger equation; Schriidinger B. see: Latin square mation, transmission of; Synthesis point; Steiner system; Symmetriza• representation Smimov, N.N. see: Non-parametric problems tion Schubert, H. see: Schubert variety methods in statistics Shapley, L.S. see: Arbitration scheme; Steinhaus, H. see: Banach-Steinhaus Schur, F.H. see: Foundations of geome• Smirnov, N. V. see: Cramer-von Mises Shapley value; Stochastic game theorem; Multiplier theory; Regular• try; Lie group test; Errors, theory of; Kolmogorov• Shatunovsk.ii, S.O. see: Partially or- ity criteria; Zero-one law Schur, I. see: Finite group; Galois the• Smirnov test; Kolmogorov test; dered set Steinig, J. see: Distribution of prime ory, inverse problem of; Group alge• Limit theorems; Mathematical Shchepin, E. V. see: Uniform space numbers bra; Hilbert inequality; Orthogonal• statistics; Smirnov test Sheffer, H. see: Sheffer stroke Steinitz, E. see: Algebra; Stability the• ization of a system of functions; Per• Smirnov, V.l. see: Analytic function; Shelah, S. ory (in logic); Steinitz theorem mutation group; Projective represen• see: Stability theory (in logic) Boundary properties of analytic Shepherdson, J.C. see: Algorithm functions; Cluster set; Fourier se• Steklov, V.A. see: Closed system of tation; Schur lemma; Schur multipli• elements (functions); Hermite poly• cator; Schur ring; Schur theorems; Sheppard, W.F. see: Sheppard correc- ries; Smirnov class; Smirnov domain tions Smirnov, Yu.M. see: Compactification; nomials; Mathematical physics; Toeplitz matrix Non-self-adjoint Shewhart, W.A. see: Statistical quality Infinite-dimensional space; Proxim• operator; Orthogo• Schtitte, K. see: Combinatorial geome• nal control ity space polynomials; Orthogonal series; try Parseval equality; Shidlovskii, A.B. see: Siegel method Smit, O.K. see: Oscillations, theory of Potential theory; Schwartz, L. see: Generalized func• Steklov function; Steklov Shih-Chieh, Chu see: Chu Shih-Chieh Smith, B. see: Littlewood problem problems; tion; Nuclear bilinear form; Pseudo• Sturm-Liouville problem Shimura, G. see: Linear algebraic Smith, H. see: Quadratic form differential operator; Spectral syn• Stellmacher, K.L. see: Lacuna groups, arithmetic theory of Smith, H.L. see: Partially ordered set; thesis Stepanov, V.V. see: Functions of a real Shioda, T. see: Neron-Severi group Topological structures Schwarz, H.A. see: Bunyakovskii in• variable, theory of; Stepanov almost• Shiota, M. see: Schottky problem Smith, P.A. see: Autonomous system equality; Christoffel-Schwarz for• periodic functions Shmidt, O.Yu. see: General algebra; Smith, W.E. see: Scheduling theory mula; Isoperimetric inequality, clas• Sternberg, S. see: Darboux vector; In• Group; Permutation group; Quasi• Smoluchowski, M. vo see: von Smolu- sical; Minimal surface; Plateau variant set; Poincare-Dulac theorem cyclic group; Shmidt group chowski, M. problem; Pohlke-Schwarz theo• Stevin, S. see: Arithmetic; Number; Shnirel'man, LG. see: Additive num• rem; Riemann-Schwarz principle; Snedecor, G. see: Fisher F-distribution Pascal triangle; Statics ber theory; Category (in the sense Riemann-Schwarz surface; Schwarz Snyder, D.L. see: Stochastic processes, Stickelberger, L. see: Abelian group of Lyusternik-Shnirel'man); Closed alternating method; Schwarz equa• filtering of Stiefel, E. see: Stiefel manifold; Stiefel• geodesic; Density tion; Schwarz formula; Schwarz of a sequence; Sobirov, A.Sh. see: Distribution of Whitney class Shnirel'man method; Variational function; Schwarz lemma; Schwarz prime numbers Stieltjes, Th.J. see: Hilbert space; Inte• calculus; Width surface; Schwarz symmetric deriva• Sobolev, S.L. see: Cubature for- gral; Moment problem; Orthogonal Shohat, tive; Schwarzian derivative J. see: Favard theorem mula; Differential equation, partial, polynomials; Pade approximation; Shor, N .Z. Schwarzschild, K. see: Schwarzschild see: Linear programming complex-variable methods; Dirichlet Stieltjes integral; Stieltjes transform metric Shor, P. W. see: Latin square principle; Generalized derivative; Stiemke, E. see: Games, theory of Schwinger, J. see: Quantum field the• Shvarts, A.S. see: Polynomial and ex• Generalized function; Imbedding Stifel, M. see: Arithmetic; Mathemati- ory; Quantum stochastic processes ponential growth in groups and alge• theorems; Sobolev space cal symbols; Pascal triangle Scott, D.S. see: Continuous lattice; A· bras Sohnke, L. see: Crystallographic group Stirling, J. see: Stirling formula calculus Sibony, N. see: Extension theorems (in Soittola, M. see: Formal languages and Stockmeyer, L.J. see: Machine Sedov, L.I. see: Analytic function analytic geometry) automata Stokes, G.G. see: Airy functions; Con• Segal, I. see: Wiener chaos decomposi• Siciak, J. see: Multiharmonic function Sokhotskii, Yu.V. see: Algebraic num• vergence, types of; Geodesy, mathe• tion Siddigi, J.A. see: Miintz theorem ber; Residue of an analytic function; matical problems in; Navier-Stokes Segre, B. see: Segre imbedding Sidon, S. see: Multiplier theory Singular integral equation; Sokhot• equations; Stokes formula; Stokes Segre, C. see: Algebraic geometry; Al- Siegel, C.L. see: Analytic number the• skii formulas; Sokhotskii theorem phenomenon gebraic surface ory; Analytic space; Automorphic Solitar, D. see: Non-Hopf group Stone, A.H. see: Covering (of a set); Seidel, L. see: Seidel method function; Diophantine approxima• Solomonoff, R.J. see: Algorithmic in• Descriptive set theory; Metric space; Seidel, P. see: Convergence, types of tion, problems of effective; Diophan• formation theory Paracompact space Seidel, W. see: Cluster set tine approximations; Diophantine Solov'ev, M.D. see: Cartographic pro• Stone, M.H. see: Compactification; Seifert, H. see: Seifert fibration; Seifert geometry; Dirichlet L-function; jection Distributive lattice; Hilbert space; matrix Discrete subgroup; Distribution Sommerfeld, A. see: Orr-Sommerfeld Ideal; Metric space; Moment prob• Selberg, A. see: Additive number of prime numbers; Invariant set; equation; Radiation conditions; lem; Paracompact space; Stone• theory; Arithmetic group; Discrete Irregular prime number; Liouville Sommerfeld integral Cech compactification; Stone lattice;

730 VON NEUMANN, J.

Stone space; Stone-Weierstrass the• Tartaglia, N. see: Arithmetic; Cubic Tsin Tsiushao see: Number theory Varadarajan, V.S. see: Lie group, semi• orem; Topology, general; Yosida equation; Imaginary number; Math• Tsiushao, Tsin see: Tsin Tsiushao simple representation theorem ematical symbols; Pascal triangle Tukey, J. W. see: Fourier transform, Varignon, P. see: Varignon theorem Stong, R. see: Chern class Tate, J. see: Galois cohomology; Rigid discrete; Multiple comparison; Par• Varopoulos, N.Th. see: Carleson set; Stormer, C. see: Stormer method analytic space; Tate algebra; Tate tially ordered set; Topological struc• Harmonic analysis, abstract; Spec• Stratonovich, R.L. see: Stochastic pro- conjectures; Zeta-function tures tral synthesis cesses, filtering of Tauber, A. see: Tauberian theorems Tumarkin, L.A. see: Cantor manifold; Vashchenko-Zakharchenko, M.E. Striebel, C. see: Stochastic processes, Taylor, B. see: Finite-difference calcu• Lebesgue dimension see: Elements of Euclid filtering of lus; Series; Taylor series Turan, P. see: Graph, extremal; van der Vaught, R.L. see: Stability theory (in Strauhal, V. see: Strouhal number Teichmiiller, 0. see: Extremal metric, Waerden theorem logic) Struve, H. see: Struve function method of the; Quadratic differen• Turing, A.M. see: Algorithm; Algo• Veblen, 0. see: Duality; Homology Student see: Mathematical statistics; tial; Quasi-conformal mapping; Te• rithmic reducibility; Algorithms, group; Jordan theorem Student distribution ichmiiller space theory of; Computable function; Vekua, J.N. see: Analytic function; Study, E. see: Fubini-Study metric; Ko• Teirlinck, L. see: Steiner system; Tacti- .\-calculus; Mathematical theory Boundary value problems of ana• tel'nikov interpretation; Projective cal of computation; Normal algorithm; lytic function theory; Singular inte• geometry Tenenbaum, S. see: Topology, general Turing machine gral equation Sturgis, H.E. see: Algorithm Terjanian, G. see: Ultrafilter Tulle, W. T. see: Factorization Venn, J. see: Venn diagram Sturm, J.Ch. see: Orthogonal series; The, I. see: Axiomatic method Tverberg, H. see: Combinatorial geom• Verdier, J.-L. see: Derived category Sturm curves; Sturm-Liouville op• Theaetetus see: Elements of Euclid etry Veronese, G. see: Veronese mapping erator; Sturm-Liouville problem; Theodorsen, T. see: Wing theory Verrier, U. le see: le Verrier, U. Sturm theorem Thom, R. see: Bordism; Cobordism; Viehweg, E. see: Kodaira theorem Sugita, H. see: White noise analysis Steenrod problem; Thom catastro• Viete, F. see: Algebra; Infinite product; Sullivan, D. see: Foliation; Fractals; phes Mathematical symbols; Viele theo• Homotopy group; Homotopy type; Thomason, R.W. see: K-theory __ u__ rem Julia set; Universal behaviour in dy• Thompson, J.G. see: Burnside problem; Vietoris, L. see: Homology group; Hy• namical systems Finite group; Thompson subgroup perspace; Solenoid; Vietoris homol• Sun-tsi see: Number theory Thomson, W. see: Curl; Kelvin func• Ubaldi, G. see: Virtual displacements, ogy Sundman, C. see: Three-body problem tions; Kelvin transformation principle of Vinci, Leonardo da see: Leonardo da Sushkevich, A.K. see: Semi-group Thorbergsson, G. see: Tight and taut Uccello, P. see: Regular polyhedra Vinci Suslin, A.A. see: Cohomology of alge- immersions Uhlenbeck, G.E. see: Langevin equa• Vinogradov, A.I. see: Density hypoth• bras Thue, A. see: Algorithmic problem; tion; Ornstein-Uhlenbeck process esis; Density theorems; Distribution Suslin, M.Ya. see: A-operation; A- Analytic number theory; Associa• Ulam, S. see: Isometric mapping; of prime numbers system; Axiomatic set theory; De• tive calculus; Diophantine approxi• Monte-Carlo method Vinogradov, I.M. see: Additive num• scriptive set theory; Functions of a mation, problems of effective; Dio• Ullman, J.D. see: Algorithm in an al• ber theory; Analytic number the• real variable, theory of; Luzin sep• phantine approximations; Diophan• phabet ory; Circle method; Circle prob• arability principles; Suslin hypothe• tine equations; Diophantine geome• Ul'yanov, V.M. see: Wallman compact• lem; Congruence; Covariance of sis; Suslin problem; Suslin theorem try; Liouville theorems; Mathemati• ification the number of solutions; Disper• Suvorov, P. see: Elements of Euclid cal theory of computation; Siegel the• Urysohn, P.S. see: Cantor manifold; sion method; Distribution of power Suzuki, M. see: Suzuki group; Suzuki orem; Thue method; Thue-Siegel• Compact space; Compactification; residues and non-residues; Distri• Roth theorem; Thue system Continuous mapping; Dimension; bution of prime numbers; Gauss Swan, R. see: Hilbert theorem Tierney, L. see: Recursive estimation Dimension theory; Hausdorff met• sum; Goldbach problem; Liouville Swinnerton-Dyer, P. see: Zeta-function Tierney, M. see: Category; Topos ric; Inductive dimension; Infinitely• function; Metric theory of numbers; Sylow, L. see: Sylow subgroup; Sylow Tietze, H. see: Continuous mapping; connected domain; Lebesgue dimen• Number theory; Prime number; theorems Knot theory; Urysohn-Brouwer sion; Line (curve); Local decompo• Shnirel'man method; Trigonometric Sylvester, J.J. see: Invariants, theory of; lemma sition; Metrizable space; Non-linear sums, method of; Two-term con• Law of inertia; Umbra! calculus Tikhonov, A.N. see: Compactifica- integral equation; Second axiom gruence; Vinogradov estimates; Sz.-Nagy, B. see: Non-self-adjoint op• tion; Continuous mapping; Diagonal of countability; Topological space; Vinogradov-Goldbach theorem; erator product of mappings; Differential Topology of imbeddings; Urysohn• Vinogradov hypotheses; Waring Szankowski, A. see: Locally convex equations, infinite-order system of; Brouwer lemma; Urysohn equation; problem; Wey! sum; Zeta-function space Differential equations with small Width Virasoro, M.A. see: Virasoro Szasz, 0. see: Miintz theorem parameter; Geophysics, mathemat• Uspenskil, Ya. see: Laplace theorem algebra Vitali, G. Szego, G. see: Orthogonal polynomials ical problems in; Ill-posed prob• Uzkov, A.I. see: Commutative algebra see: Metric theory of func• Szelepcsenyi, R. see: Grammar, lems; Metrizable space; Phragmen• tions; Non-measurable set; Vitali the• context-sensitive Lindelof theorem; Tikhonov cube; orem; Vitali variation Szpilrajn-Marczewski, E. see: Metric di• Tikhonov product; Tikhonov space; Vitushkin, A.G. see: Approximation mension Tikhonov theorem; Topological of functions of a complex variable; Szpiro, L. see: Mordell conjecture product; Urysohn metrization theo• __v __ Composite function; Variation of a rem set Tissot, N.A. see: Cartographic projec• Viviani, V. see: Viviani curve tion Vagner, V. V. see: Connection Vladimirov, V.S. see: Analytic function; Titchmarsh, E. see: A-integral; Titch• Valiant, L.G. see: Grammar, context• Quantum field theory; Radiative __T __ marsh problem free transfer theory; Vladimirov method; Tits, J. see: Bruhat decomposition; Valiron, G. see: Value-distribution the• Vladimirov variational principle Chamber; Kneser-Tits hypothesis; ory Vladuts, S.G. see: Error-correcting Tait, P.G. see: Knot theory Linear algebraic group; Quadran• Vallee-Poussin, Ch.J. de Ia see: de la code Takagi, T. see: Algebraic number the• gle; Symplectic space; Tits building; Vallee-Poussin, Ch.J. Vlasov, A.A. see: Vlasov kinetic equa• ory; Class field theory; Reciprocity Tits bundle van Dantzig, D. see: Solenoid tion laws Todd, J. see: Todd class van der Corput, J. see: Wey! method Vogan, D.A. see: Infinite-dimensional Takens, F. see: Routes to chaos Todorcevic, S. see: Cardinal character• van der Geer, G. see: Schottky problem representation Takesaki, M. see: Quantum probability istic; Topology, general van der Kulk, W. see: Cremona trans- Vojta, P. see: Diophantine geometry; Takhtazhyan, L.A. see: Yang-Baxter Toeplitz, 0. see: Linear operator; Reg- formation Thue method; Value-distribution equation ularity criteria; Toeplitz matrix van der Pol, B. see: Perturbation the• theory Tall, 0.0. see: .\-ring Tomita, M. see: Quantum probability ory; Relaxation oscillation; van der Volterra, V. see: Differentiation of a Tamagawa, T. see: Adele Tomita, T. see: Diagonal ring Pol equation mapping; Functional equation; In• Tamarkin, Ya.D. see: Non-self-adjoint Tonelli, L. see: Tonelli plane variation; van der Waerden, B.L. see: Abstract tegral equation; Riemann method; operator Tonelli theorem algebraic geometry; Algebra; Alge• Volterra equation; Volterra opera• Tannenbaum, A. see: H = control the• Toschi, G.C. Fagnano del see: Fagnano braic geometry; Algebraic variety; tor; Volterra series ory del Toschi, G.C. Chow variety; Combinatorial geom• von Mangold!, H. see: Distribution of Tannery, J. see: Number Trefftz, E. see: Trefftz method etry; Commutative algebra; General prime numbers; Mangoldt function; Tarry, G. see: Classical combinatorial Tresser, C. see: Universal behaviour in algebra; Non-differentiable func• Zeta-function problems dynamical systems tion; Spinor; van der Waerden test von Mises, R. see: Cramer-von Mises Tarski, A. see: Algebra; Algebraic Tricomi, F. see: Gellerstedt problem; van Dyck, W. see: Manifold test; Non-parametric methods in system; Algorithmic problem; Al• Singular integral equation; Tricomi van Geemen, B. see: Schottky problem statistics gorithms, theory of; Elementary problem van Oystaeyen, F. see: Division algebra von Neumann, J. see: Analytic group; theory; Intuitionism; Mathematical Tschebycheff, P.L. see: Chebyshev, P.L. Vandermonde, A. T. see: Determinant; Class; Coherent states; Cooperative logic; Mathematical theory of com• Tsfasman, M.A. see: Error-correcting Group; Vandermonde determinant game; Drawing room game; Games, putation; Semantics; Tarski problem code Vandiver, H. see; Fermat great theorem theory of; Hilbert space; Jacobi

731 VON NEUMANN, J.

method; Lie group; Metric transitiv• Approximation theory; Arithmetic; problem; Weyl sum; Yang-Mills Yamabe, H. see: Topological group ity; Minimax principle; Monte-Carlo Axiomatic method; Best approx• field Yan, J.-A. see: White noise analysis method; Orthogonal series; Quan• imations, sequence of; Bolzano• Whitehead, A.N. see: Mathematical Yang, C.N. see: Yang-Mills field tum probability; Spectral analysis; Weierstrass theorem; Convergence, logic; Proof theory; Reducibility Yang Hui see: Pascal triangle Topological group; Transfinite recur• types of; Differential equation, par• axiom Yanov, Yu.I. see: Theoretical program• sion; Utility theory; von Neumann tial, variational methods; Dirichlet Whitehead, G.W. see: Manifold; White• ming algebra; von Neumann ergodic theo• principle; Elliptic function; Ex• head homomorphism; Whitehead Yates, J. see: Yates correction rem tremal field; Frechet differential; multiplication Yau, S.T. see: Analytic manifold; von Smoluchowski, M. see: Einstein• Functions of a complex variable, Whitehead, J.H.C. see: CW-complex; Kahler manifold; Plateau problem, Smoluchowski equation; Ornstein• theory of; Inversion of an elliptic Whitehead group multi-dimensional Uhlenbeck process integral; Jacobi elliptic functions; Whitney, D.R. see: Mann-Whitney test Yorke, J.A. see: Lyapunov characteris• von Staudt, K. see: Coordinates; Pro• Lacunary trigonometric series; Lin• Whitney, H. see: Analytic manifold; tic exponent jective geometry; Projective plane; demann theorem; Mathematical Differential form; Extension theo• Yosida, K. see: Maximal ergodic theo• Wurf logic; Mathematical symbols; Ma• rems; Manifold; ; Singu• rem; Yosida representation theorem von Waldenfels, W. see: Quantum trix; Minimal surface; Modular larities of differentiable mappings; Young, A. see: Young diagram stochastic processes function; Non-differentiable func• Stiefel-Whitney class; Topology of Young, G.C. see: Denjoy theorem on Voronol, G.F. see: Algebraic num• tion; Number; Plateau problem; imbeddings; Tubular neighbourhood derivatives ber; Analytic number theory; Circle Real number; Riemann surface; Whittaker, E.T. see: Whittaker equation Young, L.C. see: Variation of a function problem; Compatibility of summa• Rings and algebras; Series; Sokhot• Whittaker, J.M. see: Abel-Goncharov Young, W.H. see: Conjugate func• tion methods; Divisor problems; skii theorem; Theta-function; Weier• problem tion; du Bois-Reymond theorem; Gamma-function; Linear inequal• strass conditions (for a variational Wieferich, A. see: Fermat great theo• Dual functions; Hausdorff-Young ity; Quadratic form; Voronoi lattice extremum); Weierstrass coordi• rem; Waring problem inequalities; Measure; Metric the• types; Voronoi summation method nates; Weierstrass criterion (for Wieland!, H. see: Schur ring ory of functions; Multiplier theory; Voskresenskil, V.E. see: Galois cohomol• uniform convergence); Weierstrass Wiener, N. see: Cybernetics; Dirich• Radon measure; Riesz inequality; ogy £-function; Weierstrass elliptic func• let problem; Markov process; Per• Trigonometric series; Young crite• Voss, A. see: Voss net tions; Weierstrass-Erdmann corner ron method; Potential theory; Spec• rion Vossieck, D. see: Representation of an conditions; Weierstrass point; Weier• tral synthesis; Stationary stochastic Younger, D.H. see: Grammar, context• associative algebra strass theorem process; Stochastic processes, filter• free ing of; Stochastic processes, predic• Vries, G. de see: de Vries, G. Weil, A. see: Abelian variety; Ab• Yudin, D.B. see: Linear programming tion of; Volterra series; Wiener chaos stract algebraic geometry; Alge• Yule, G. see: Auto-regression; Birth• decomposition; Wiener-Hopf equa• braic" geometry; Algebraic group of and-death process tion; Wiener integral; Wiener mea• transformations; Algebraic variety; sure; Wiener Tauberian theorem Bergman-Weil representation; Con• Wieting, T. see: Quasi-discrete spec- __w __ grnence equation; Congruence mod• trum ulo a prime number; Diophantine Wik, I. see: Carleson set geometry; Discrete subgroup; Dis• Wilbraham, H. see: Gibbs phenomenon __z __ persion method; Galois cohomology; Waerden, B.L. van der see: van der Wilcoxon, F. see: Non-parametric Waerden, B.L. ldele; Jacobi variety; Linear alge• methods in statistics; Wilcoxon test Wagner, K. see: Minor of a graph braic groups, arithmetic theory of; Wiles, A. see: Cyclotomic field Wagstaff, S. see: Irregular prime num• Picard variety; Sheaf theory; Topo• Wilker, J.B. see: Miibius plane Zagier, D.B. see: Dirichlet £-function; ber logical structures; Uniform space; Wilson, J.A. see: Wilson polynomials; Quadratic field Wahba, G. see: Regularization method Weil-Chatelet group; Weil cohomol• Wilson theorem Zakai, M. see: Stochastic processes, fil• Wald, A. see: Behrens-Fisher problem; ogy; Weil domain; Zeta-function Wilson, R.L. see: Lie algebra tering of; Stratonovich integral Decision function; Sequential analy• Weingarten, J. see: Weingarten deriva• Wilson, R.M. see: Steiner system; Zames, G. see: H= control theory sis; Statistical decision theory; Sta• tional formulas; Weingarten surface Transversal system Zaremba, S. see: Perron method; Poten• tistical game; Wald identity Weitsman, A. see: Value-distribution Windey, P. see: Index formulas tial theory Waldenfels, W. von see: von Waldenfels, theory Wirsing, E. see: Diophantine approxi• Zariski, 0. see: Algebraic geometry; w. Welch, L.R. see: Error-correcting code mations; Distribution of prime num• Algebraic surface; Arithmetic genus; Waldschmidt, M. see: Transcendental Welters, G. see: Schottky problem bers Zariski tangent space; Zariski topol• number Wentzel, G. see: WKB method Wishart, J. see: Wishart distribution ogy Walker, R. see: Algebraic surface Werner, R.F. see: Quantum stochastic Witt, A.A . .see: Andronov-Witt theo• Zarkhin, Yu.G. see: Mordell conjecture; Wallace, W. see: Simson straight line processes rem Tate conjectures Witt, E. see: Birkhoff-Witt theorem; Zassenhaus, H. see: Crystallographic Wallis, J. see: Diophantine equations; Wessel, C. see: Arithmetic; Complex Kummer extension; Lie p-algebra; group; Lie algebra, nilpotent; Infinite product; Mathematical sym• number; Imaginary number bols; Pell equation; Virtual displace• Pseudo-Euclidean space; Witt theo• Zassenhaus group West, A. see: Tight and taut immersions ments, principle of; Wallis formula rem; Witt vector Zel'manov, E.I. see: Lie algebra, nil; Weyl, H. see: Abstraction, mathe• Wallman, H. see: Compactification; Witten, E. see: Index formulas; Varia• Non-associative rings and algebras; matical; Abstraction of actual infin• Wallman compactification tional calculus in the large p-group ity; Affine connection; Algorithms, Walsh, J.L. see: Walsh system Wolf, J .A. see: Constant curvature, Zeno see: Antinomy theory of; Analytic manifold; An• Wang, M.C. see: Ornstein-Uhlenbeck space of Zermelo, E. .see: Antinomy; Axiom of alytic number theory; Blaschke• process Wolff, T. see: Hardy classes choice; Axiomatic set theory; Games, Weyl formula; Cartan-Wey! basis; Wolfowitz, J. see: Stochastic approxi• theory of; Proof theory; Zermelo ax• Wantzel, P. see: Duplication of the cube; Complete analytic function; Con• Trisection of an angle mation; Wolfowitz inequality iom; Zermelo theorem nection; Continuous group; Convex Wolkenfelt, P.H.M. see: Gregory for- Zhegalkin, I.I. see: Zhegalkin algebra Ward, A.J. see: Perron-Stieltjes inte• surface; Differential geometry of gral; Ward theorem mula Zhukovskil, N.E. see: Analytic function; manifolds; Directing functionals, Wong, E. see: Stratonovich integral Zhukovskii function; Zhukovskii Ward, M. see: Multiplicative lattice method of; Formal mathematical Woolhouse, W. see: Steiner system theorem Waring, E. see: Waring problem; Wil• analysis; Foundations of geometry; Wright, J. see: Automaton Zil'ber, B.I. see: Stability theory (in son theorem Fractional integration and differen• Wronski, J. see: Wronskian logic) Watanabe, S. see: White noise analysis tiation; Functions of a real variable, Wu, J.-M. see: Value-distribution the• Zink, T. see: Error-correcting code Watson, G.N. see: Gallon-Watson pro• theory of; Gauss sum; Harmonic ory Zippin, L. see: Disc, topological; Lie cess; Watson transform analysis, abstract; Hermite polyno• Wu, W.-T. see: Topology of imbeddings group; Topological group Weber, H. see: Algebraic function; Al• mials; Hilbert inequality; Hilbert Wiistholz, G. see: Transcendental num• Zolotarev, E.I. see: Algebraic number; gebraic number theory; Class field theorem; Infinite-dimensional repre• ber Discrete subgroup; Extremal prop• theory; Group; Weber equation; We• sentation; lntuitionism; Invariants, Wyler, 0. see: Topological structures erties of polynomials; Functions of a ber function theory of; Lie algebra; Lie group; Lie real variable, theory of; Geometry of Wedderburn, J.H.M. see: Matrix group, compact; Manifold; Metric numbers algebra; Rings and algebras; theory of numbers; Parallel dis• Zorn, M. see: Zorn lemma Wedderburn-Arlin theorem; placement; Peter-Wey! theorem; Zygmund, A. see: Best approxi- Wedderburn-Mal'tsev theorem Reflection group; Riemann surface; mations, sequence of; Boundary Weibull, W. see: Weibull distribution Spectral analysis; Spinor represen• ____ y ____ properties of analytic functions; Weierstrass, K. see: Abelian function; tation; Trigonometric sums, method Calderon-Zygmund operator; La• Algebraic function; Algebraic ge• of; Weyl almost-periodic functions; cunary trigonometric series; Law ometry; Analytic function; Analytic Wey) connection; Wey) criterion; Yaglom, I.M. see: Flag space; Miibius of the iterated logarithm; Zygmund space; Approximation of functions; Wey) group; Weyl method; Weyl plane class of functions

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