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1958: Photopic Field Theory for Natural Hydroso1s
UC San Diego SIO Reference Title Photopic field theory for natural hydroso1s Permalink https://escholarship.org/uc/item/0dk1r645 Author Preisendorfer, Rudolph W Publication Date 1958-09-10 eScholarship.org Powered by the California Digital Library University of California Visibility Laboratory- University of California Scripps Institution of Oceanography San Diego 52, California PHOTIC FIELD THEORY FOR NATURAL HYDROSOLS R. W. Preisendorfer 10 September 1958 Bureau of Ships Index Number NS 714-100 Contract NObs-72092 SIO REFERENCE 58-66 Approved: Approved for Distribution: /£-*.*-'A Seibert Q. Duntley, Director ^—> Roger Revelle, Director Visibility Labora/tory Scripps Institution of Oceanography 1 Photic Field Theory for Natural Hydrosols 2 Rudolph W. Preisendorfer INTRODUCTION The purpose of this note is to present an example of the application of the vector theory of the photic field ("light field") to an important class of scattering-absorbing optical media, namely the class of natural hydrosols consisting, e.g., of oceans, harbors, and lakes. The application is at the same time of practical value in that it yields explicit expressions for the depth-dependence of the light vector in terms of its components at the surface and certain of the optical properties of these media. Furthermore, the discussion presents particularly simple interpretations of the quasipotential and related functions. These interpretations emerge naturally from the geometry and physics of the present application. In this way we add to the evidence that the formalism of the photic field as developed by Moon, Spencer, and others (1), (2), * is of more than academic This paper represents results of research which has been supported by the Bureau of Ships, U. -
Pterossauros Nasciam Sem a Capacidade De Voar
NOTAS 1 Pterossauros nasciam sem a capacidade de voar Os filhotes de pterossauros, répteis ala- dos já extintos, contemporâneos dos dinossauros, rompiam seus ovos prontos para andar, mas não para bater asas e ga- nhar os ares. Assim que nasciam, os ossos Ovos fossilizados da cintura estavam formados. Isso permi- do pterossauro Hamipterus tia que eles se apoiassem sobre as patas tianshanensis e traseiras e dessem os primeiros passos. reconstituição Porém, a estrutura óssea que dá suporte artística da espécie aos movimentos do músculo peitoral, essencial para sustentar o voo, ainda não estava totalmente constituída. Os recém- -nascidos também não tinham todos os dentes, limitação que provavelmente os impedia de se alimentar sozinhos. Para sobreviver até que os ossos de apoio das asas e os dentes estivessem completos, os filhotes tinham de permanecer um bom tempo sob o cuidado dos pais. Esse cenário, sobre o desenvolvimento embrio- nário e os primeiros movimentos, ainda tímidos, dos filhotes de pterossauros, é sugerido em um estudo feito por paleon- tólogos brasileiros e chineses (Science, 1º de dezembro). “O descompasso entre o desenvolvimento dos ossos da cintura e os da musculatura peitoral indica que os pterossauros não conseguiam voar ao nascer”, comenta o paleontólogo Ale- xander Kellner, do Museu Nacional da Universidade Federal do Rio de Janeiro (UFRJ), um dos autores do trabalho. Com o auxílio de imagens de tomografia com- putadorizada, o grupo analisou o interior de 16 ovos de pterossauros da espécie Hamipterus tianshanensis, que viveu há cerca de 120 milhões de anos na bacia de Turpan-Hami, no noroeste da China. -
Looking at Earth: an Astronaut's Journey Induction Ceremony 2017
american academy of arts & sciences winter 2018 www.amacad.org Bulletin vol. lxxi, no. 2 Induction Ceremony 2017 Class Speakers: Jane Mayer, Ursula Burns, James P. Allison, Heather K. Gerken, and Gerald Chan Annual David M. Rubenstein Lecture Looking at Earth: An Astronaut’s Journey David M. Rubenstein and Kathryn D. Sullivan ALSO: How Are Humans Different from Other Great Apes?–Ajit Varki, Pascal Gagneux, and Fred H. Gage Advancing Higher Education in America–Monica Lozano, Robert J. Birgeneau, Bob Jacobsen, and Michael S. McPherson Redistricting and Representation–Patti B. Saris, Gary King, Jamal Greene, and Moon Duchin noteworthy Select Prizes and Andrea Bertozzi (University of James R. Downing (St. Jude Chil- Barbara Grosz (Harvard Univer- California, Los Angeles) was se- dren’s Research Hospital) was sity) is the recipient of the Life- Awards to Members lected as a 2017 Simons Investi- awarded the 2017 E. Donnall time Achievement Award of the gator by the Simons Foundation. Thomas Lecture and Prize by the Association for Computational American Society of Hematology. Linguistics. Nobel Prize in Chemistry, Clara D. Bloomfield (Ohio State 2017 University) is the recipient of the Carol Dweck (Stanford Univer- Christopher Hacon (University 2017 Robert A. Kyle Award for sity) was awarded the inaugural of Utah) was awarded the Break- Joachim Frank (Columbia Univer- Outstanding Clinician-Scientist, Yidan Prize. through Prize in Mathematics. sity) presented by the Mayo Clinic Di- vision of Hematology. Felton Earls (Harvard Univer- Naomi Halas (Rice University) sity) is the recipient of the 2018 was awarded the 2018 Julius Ed- Nobel Prize in Economic Emmanuel J. -
Mathematics Calendar
Mathematics Calendar Please submit conference information for the Mathematics Calendar through the Mathematics Calendar submission form at http:// www.ams.org/cgi-bin/mathcal-submit.pl. The most comprehensive and up-to-date Mathematics Calendar information is available on the AMS website at http://www.ams.org/mathcal/. June 2014 Information: http://www.tesol.org/attend-and-learn/ online-courses-seminars/esl-for-the-secondary- 1–7 Modern Time-Frequency Analysis, Strobl, Austria. (Apr. 2013, mathematics-teacher. p. 429) * 2–30 Algorithmic Randomness, Institute for Mathematical Sciences, 2–5 WSCG 2014 - 22nd International Conference on Computer National University of Singapore, Singapore. Graphics, Visualization and Computer Vision 2014, Primavera Description: Activities 1. Informal Collaboration: June 2–8, 2014. 2. Hotel and Congress Centrum, Plzen (close to Prague), Czech Repub- Ninth International Conference on Computability, Complexity and lic. (Jan. 2014, p. 90) Randomness (CCR 2014): June 9–13, 2014. The conference series 2–6 AIM Workshop: Descriptive inner model theory, American “Computability, Complexity and Randomness” is centered on devel- Institute of Mathematics, Palo Alto, California. (Mar. 2014, p. 312) opments in Algorithmic Randomness, and the conference CCR 2014 2–6 Computational Nonlinear Algebra, Institute for Computational will be part of the IMS programme. The CCR has previously been held and Experimental Research in Mathematics, (ICERM), Brown Univer- in Cordoba 2004, in Buenos Aires 2007, in Nanjing 2008, in Luminy sity, Providence, Rhode Island. (Nov. 2013, p. 1398) 2009, in Notre Dame 2010, in Cape Town 2011, in Cambridge 2012, and in Moscow 2013; it will be held in Heidelberg 2015. 3. Informal 2–6 Conference on Ulam’s type stability, Rytro, Poland. -
AFFINE HECKE ALGEBRAS and THEIR GRADED VERSION 0.1. Let
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 2, Number 3, July 1989 AFFINE HECKE ALGEBRAS AND THEIR GRADED VERSION GEORGE LUSZTIG Dedicated to Sir Michael Atiyah on his sixtieth birthday INTRODUCTION 0.1. Let Hvo be an affine Hecke algebra with parameter Vo E C* assumed to be of infinite order. (The basis elements ~ E Hvo corresponding to simple reflections s satisfy (~+ 1)(Ts - v~C(s») = 0, where c(s) EN depend on s and are subject only to c(s) = c(s') whenever s, Sf are conjugate in the affine Weyl group.) Such Hecke algebras appear naturally in the representation theory of semisimple p-adic groups, and understanding their representation theory is a question of considerable interest. Consider the "special case" where c(s) is independent of s and the coroots generate a direct summand. In this "special case," the question above has been studied in [I] and a classification of the simple modules was obtained. The approach of [1] was based on equivariant K-theory. This approach can be attempted in the general case (some indications are given in [5, 0.3]), but there appear to be some serious difficulties in carrying it out. 0.2. On the other hand, in [5] we introduced some algebras H,o' depending on a parameter roE C , which are graded analogues of Hvo . The graded algebras H '0 are in many respects simpler than Hvo' and in [5] the representation theory of H,o is studied using equivariant homology. Moreover, we can make the machinery of intersection cohomology work for us in the study of H '0 ' while in the K-theory context of Hvo it is not clear how to do this. -
Motivic Chern Classes and Iwahori Invariants of Principal Series
MOTIVIC CHERN CLASSES AND IWAHORI INVARIANTS OF PRINCIPAL SERIES CHANGJIAN SU Abstract. In this expository note, we review the proof [AMSS19] of conjectures of Bump, Nakasuji and Naruse about principal series representations of p-adic groups. The ingre- dients of the proof involve Maulik{Okounkov K-theoretic stable basis for the Springer resolution, and motivic Chern classes of Schubert cells for the Langlands dual group Contents 1. Introduction 1 Notations 3 2. p-adic side 3 2.1. Iwahori invariants of the principal series representations 3 2.2. Two bases in the Iwahori invariants of the principal series representations 4 2.3. Conjectures of Bump, Nakasuji and Naruse 5 3. Complex dual side 7 3.1. Definition of Motivic Chern classes 7 3.2. Two bases in the localized equivariant K theory of the flag variety 8 3.3. Hecke algebra action 8 3.4. Smoothness criterion 10 4. The proof 10 References 11 1. Introduction The Iwahori{Hecke algebra of a p-adic reductive group is the convolution algebra on the compactly supported functions on the rational points of the group, which are let and right invariant under the Iwahori subgroup. It contains the finite Hecke algebra and the group algebra of the character lattice of the complex dual maximal torus, which is called the lattice part of the Iwahori{Hecke algebra. The Iwahori invariant subspace of any unramfied principal series representation is a module over the Iwahori{Hecke algebra via convolution. In the invariant subspace, there is a natural basis induced from the cell decomposition of the group. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL . Jill Pipher, Brown University, Harmonic analysis and New Brunswick, New elliptic boundary value problems. David Vogan, Department of Mathematics, MIT, Matri- Jersey ces almost of order two. Wei Zhang, Columbia University, The Euler product and Rutgers University the Taylor expansion of an L-function. November 14–15, 2015 Special Sessions Saturday – Sunday If you are volunteering to speak in a Special Session, you Meeting #1115 should send your abstract as early as possible via the ab- Eastern Section stract submission form found at www.ams.org/cgi-bin/ Associate secretary: Steven H. Weintraub abstracts/abstract.pl. Announcement issue of Notices: September 2015 Advances in Valuation Theory, Samar El Hitti, New York Program first available on AMS website: October 1, 2015 City College of Technology, City University of New York, Issue of Abstracts: Volume 36, Issue 4 Franz-Viktor Kuhlmann, University of Saskatchewan, and Deadlines Hans Schoutens, New York City College of Technology, For organizers: Expired City University of New York. For abstracts: Expired Algebraic Geometry and Combinatorics, Elizabeth Drel- lich, University of North Texas, Erik Insko, Florida Gulf The scientific information listed below may be dated. Coast University, Aba Mbirika, University of Wisconsin- For the latest information, see www.ams.org/amsmtgs/ Eau Claire, and Heather Russell, Washington College. -
Report for the Academic Year 1999
l'gEgasag^a3;•*a^oggMaBgaBK>ry^vg^.g^._--r^J3^JBgig^^gqt«a»J^:^^^^^ Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1998-99 PRINCETON • NEW JERSEY HISTORICAL STUDIES^SOCIAl SC^JCE LIBRARY INSTITUTE FOR ADVANCED STUDY PRINCETON, NEW JERSEY 08540 Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 998 - 99 OLDEN LANE PRINCETON • NEW JERSEY • 08540-0631 609-734-8000 609-924-8399 (Fax) http://www.ias.edu Extract from the letter addressed by the Institute's Founders, Louis Bamberger and Mrs. FeUx Fuld, to the Board of Trustees, dated June 4, 1930. Newark, New Jersey. It is fundamental m our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. ni' TABLE OF CONTENTS 4 • BACKGROUND AND PURPOSE 7 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 • ADMINISTRATION 12 • PRESENT AND PAST DIRECTORS AND FACULTY 15 REPORT OF THE CHAIRMAN 18 • REPORT OF THE DIRECTOR 22 • OFFICE OF THE DIRECTOR - RECORD OF EVENTS 27 ACKNOWLEDGMENTS 41 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES FACULTY ACADEMIC ACTIVITIES MEMBERS, VISITORS, -
A Geometry Oã-Nutrition1
A Geometry oÃNutrition1 PARRY MOON AND DOMINA EBERLE SPENCER Electrical Engineering Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, and Mathematics Department, University of Connecticut, Starrs, Connecticut 06268 ABSTRACT The nutritional value of a given sample of food may be specified by a nutrition holor in a fictitious 3-space. This holor possesses magnitude and character. In most cases, we are interested primarily in character, and this can be represented by a point in a 2-space (the nutrition triangle). The triangle allows visualization of re lations among foods and also the addition of nutritional values for a combination of foods. J. Nutr. 104: 1535-1542, 1974. INDEXING KEY WORDS geometry •mathematical model •nutrient patterns Downloaded from The worldwide importance of modern acter of a food may be specified by giving nutritional theory can hardly be overesti any two of the above coordinates. These mated. Nutrition calculations, however, coordinates can be plotted in a nutrition have remained in the arithmetic stage and triangle (fig. 1). have not utilized the possibilities of alge The diagram is advantageous because it braic and geometric formulation. In par shows at a glance the relations among jn.nutrition.org ticular, a geometrization of nutrition al foods: which food has the higher lipid lows one to visualize the relations among content, which has the more protein, etc. nutrients and thus to bypass much of the The triangle can be divided into regions. present routine computation, in accordance Sugars, syrups, and honey are almost pure with the principle that a picture is worth carbohydrate, so they are represented by by on November 25, 2009 a thousand words. -
The I Nstitute L E T T E R
THE I NSTITUTE L E T T E R INSTITUTE FOR ADVANCED STUDY PRINCETON, NEW JERSEY · FALL 2004 ARNOLD LEVINE APPOINTED FACULTY MEMBER IN THE SCHOOL OF NATURAL SCIENCES he Institute for Advanced Study has announced the appointment of Arnold J. Professor in the Life Sciences until 1998. TLevine as professor of molecular biology in the School of Natural Sciences. Profes- He was on the faculty of the Biochemistry sor Levine was formerly a visiting professor in the School of Natural Sciences where he Department at Princeton University from established the Center for Systems Biology (see page 4). “We are delighted to welcome 1968 to 1979, when he became chair and to the Faculty of the Institute a scientist who has made such notable contributions to professor in the Department of Microbi- both basic and applied biological research. Under Professor Levine’s leadership, the ology at the State University of New York Center for Systems Biology will continue working in close collaboration with the Can- at Stony Brook, School of Medicine. cer Institute of New Jersey, Robert Wood Johnson Medical School, Lewis-Sigler Center The recipient of many honors, among for Integrative Genomics at Princeton University, and BioMaPS Institute at Rutgers, his most recent are: the Medal for Out- The State University of New Jersey, as well as such industrial partners as IBM, Siemens standing Contributions to Biomedical Corporate Research, Inc., Bristol-Myers Squibb, and Merck & Co.,” commented Peter Research from Memorial Sloan-Kettering Goddard, Director of the Institute. Cancer Center (2000); the Keio Medical Arnold J. Levine’s research has centered on the causes of cancer in humans and ani- Science Prize of the Keio University mals. -
The Development of Intersection Homology Theory
The Development of Intersection Homology Theory The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Thomsen, A C. “Mycoplasmas in Human Pyelonephritis: Demonstration of Antibodies in Serum and Urine.” Journal of Clinical Microbiology 8.2 (1978): 197–202. Print. As Published http://arxiv.org/abs/math/0701462 Publisher American Society for Microbiology Version Final published version Citable link http://hdl.handle.net/1721.1/69980 Terms of Use Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Pure and Applied Mathematics Quarterly Volume 3, Number 1 (Special Issue: In honor of Robert MacPherson, Part 3 of 3 ) 225–282, 2007 The Development of Intersection Homology Theory Steven L. Kleiman Contents Foreword 225 1. Preface 226 2. Discovery 227 3. A fortuitous encounter 231 4. The Kazhdan–Lusztig conjecture 235 5. D-modules 238 6. Perverse sheaves 244 7. Purity and decomposition 248 8. Other work and open problems 254 References 260 9. Endnotes 265 References 279 Foreword This historical introduction is in two parts. The first is reprinted with per- mission from “A century of mathematics in America, Part II,” Hist. Math., 2, Amer. Math. Soc., 1989, pp. 543–585. Virtually no change has been made to the original text. In particular, Section 8 is followed by the original list of references. However, the text has been supplemented by a series of endnotes, collected in the new Section 9 and followed by a second list of references. -
Views of Farms, Residences, Mills &C., Portraits of Well-Known Citizens, and the Official County Map
Donald Heald Rare Books A Selection of Rare Books Donald Heald Rare Books A Selection of Rare Books Donald Heald Rare Books 124 East 74 Street New York, New York 10021 T: 212 · 744 · 3505 F: 212 · 628 · 7847 [email protected] www.donaldheald.com California 2017 Americana: Items 1 - 34 Travel and Voyages: Items 35 - 58 Natural History: Items 59 - 80 Miscellany: Items 81 - 100 All purchases are subject to availability. All items are guaranteed as described. Any purchase may be returned for a full refund within ten working days as long as it is returned in the same condition and is packed and shipped correctly. The appropriate sales tax will be added for New York State residents. Payment via U.S. check drawn on a U.S. bank made payable to Donald A. Heald, wire transfer, bank draft, Paypal or by Visa, Mastercard, American Express or Discover cards. AMERICANA 1 ADAMS, Ansel Easton (1902-1984) and Mary Hunter AUSTIN (1868-1934). Taos Pueblo. San Francisco: Grabhorn Press, 1930. Folio (17 x 12 1/2 inches). [6] preliminary pages followed by [14]pp. of text. 12 original mounted photographs, printed on Dessonville paper by Ansel Adams, various sizes to 9 x 6 1/2 inches, each with a corresponding caption leaf. Publisher’s tan morocco backed orange cloth, spine with raised bands in six compartments, marbled endpapers (minor fading to the leather). From an edition of 108 numbered copies signed by the author and the photographer, containing magnificent photographs by Ansel Adams. Possibly the most famous of modern photographic works on the West, Taos Pueblo was a collaboration between the young photographer, Ansel Adams, and one of the most evocative writers on the Southwest, Mary Austin.