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(+232 Lbs ) KINGS of the RING WORLD SERIES
OPEN SUPER HEAVYWEIGHT +105 kg (+232 lbs ) Japanese boxing - Shootboxing rules Super world champion Date, Place VACANT 14 World champion Date, Place VACANT Thai boxing - Full muaythai rules Thai boxing - International muaythai rules SUPER WORLD CHAMPION Date, Place SUPER WORLD CHAMPION Date, place VACANT VACANT WORLD CHAMPION Date, Place WORLD CHAMPION Date, Place 09.02.2008 LLOYD VAN DAMS ( NL ) 29.05.2004 TONY GREGORY ( FRA ) Auckland- = 289 pts Venice-ITA = 413 pts NZ OPBU EURO-AFRICAN CHAMPION Date, Place OPBU EURO-AFRICAN CHAMPION Date, Place VACANT VACANT Japanese boxing - K -1 rules Japanese boxing - Oriental Kick rules SUPER WORLD CHAMPION Date, Place SUPER WORLD CHAMPION Date, Place VACANT VACANT WORLD CHAMPION Date, Place WORLD CHAMPION Date, Place VACANT VACANT OPBU EURO-AFRICAN CHAMPION Date, Place OPBU EURO-AFRICAN CHAMPION Date, Place VACANT VACANT KINGS OF THE RING WORLD SERIES WIPU ORIENTAL PRO BOXING RULES SUPER WORLD CHAMPION Date, place VACANT e-mail : [email protected] mobile phone : +385 98 421 300 www.wipu-kings.com OPEN SUPER HEAVYWEIGHT +105 kg (+232 lbs ) 1. Semmy Schilt ( NL ) = 964 pts 2. Peter Aerts ( NL ) = 645 pts 3. Jerome Lebanner ( FRA ) = 571 pts 4. Alistar Overeem ( NL ) = 524 pts 5. Alexei Ignashov ( BLR ) = 432 pts 6. Daniel Ghita ( ROM ) = 362 pts 7. '' MIGHTY MO '' Siligia ( USA ) = 362 pts 8. Anderson '' Bradock '' Silva ( BRA ) = 344 pts 9. Mladen Brestovac ( CRO ) = 311 pts 10. Ismael Londt ( NL ) = 290 pts 11. Rico Verhoeven ( NL ) = 275 pts 12. Ben Edwards ( AUS ) = 258 pts 13. Peter Graham ( AUS ) = 243 pts 14. Alexandre Pitchkounov ( RUS ) = 236 pts 15. -
Abstract Book
5th INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS, TRABZON, TURKEY 23-27 JULY 2018 Abstract Book i 5th INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS, TRABZON, TURKEY 23-27 JULY 2018 Abstract Book List of Major Sponsors • Karadeniz Technical University • The Turkish Academy of Sciences (Türkiye Bilimler Akademisi – TÜBA) ii 5th INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS, TRABZON, TURKEY, 23-27 JULY 2018 Honorary Chairs of Scientific Committee Prof. Dr. B. E. Rhoades, USA Prof. Dr. H. M. Srivastava, Canada Prof. Dr. Ljubisa Kocinac, Serbia Prof. Dr. Mubariz Tapdigoglu Garayev, Saudi Arabia Prof. Dr. Sadek Bouroubi, Algeria Prof. Dr. Ali M. Akhmedov, Azerbaijan Prof. Dr. Werner Varnhorn, Germany Prof. Dr. Emine Mısırlı, Turkey Prof. Dr. Huseyin Cakalli, Turkey Prof. Dr. G. Das, India Prof. Dr. M. Perestyuk, Ukraine Prof. Dr. O. Boichuk, Ukraine Prof. Dr. I. Shevchuk, Ukraine Prof. Dr. Anatoliy M. Samoilenko, Ukraine Prof. Dr. V. Guliyev, Turkey Prof. Dr. M. Abbas, S.Africa Prof. Dr. M. Mursaleen, India Prof. Dr. W. Sintunavarat, Thailand Prof. Dr. V. Kalantarov, Turkey Prof. Dr. Cihan Orhan, Turkey Prof. Dr. Metin Basarir, Turkey Organizing Committee Prof. Dr. Ekrem Savas, Uşak Commerce University Prof. Dr. Hamdhllah Şevli, Istanbul Commerce University Prof. Dr. Necip Şimşek, Istanbul Commerce University Prof. Dr. Ömer Pekşen, Karadeniz Technical University Prof. Dr. Richard Patterson, North Florida University Prof. Dr. Mehmet Gürdal, Suleyman Demirel University Prof. Dr. Martin Bohner, Missouri S&T Prof. Dr. Ram Mohapatra, Uni. of Central Florida Prof. Dr. Fairouz Tchier, King Saud University Prof. Dr. Mehmet Dik, Rockford University Prof. -
Proceeding Book 2020
7th International Conference on Recent Advances in Pure and Applied Mathematics Goddess of Bodrum Isis Hotel, Bodrum/Muğla, TURKEY September 25-28, 2020 Proceeding Book of ICRAPAM (2020) Editör Ekrem SAVAS Associate Editors Mahpeyker OZTURK, Emel Aşıcı Veli CAPALI Date of Publication: 20.12.2020 ISBN Number:978-625-409-857-4 1 7Th INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS (ICRAPAM 2020) September 25-28 2020 at Goddess of Bodrum Isis Hotel Bodrum/Muğla, TURKEY ICRAPAM CONFERENCE PROCEEDING PREFACE International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2020) was held in Bodrum Muğla, Turkey, at the Goddess of Bodrum Isis Hotel Bodrum/Muğla Turkey, from September 25-28, 2020. It was the 7th edition of such conferences. The chairman of the Organizing Committee of ICRAPAM 2020 was Associate Prof. Mahpeyker Ozturk, and the Scientic Committee consisted of mathematicians from 20 countries. 200 participants from 130 countries attended the conference and 120 papers have been presented, including 6 plenary lectures. The conference was devoted to almost all fields of mathematics and variety of its applications. This issue of the proceeding contains 12 papers presented at the conference and selected by the usual editorial procedure of scientific committee. We would like to express our gratitude to the authors of articles published in this issue and to the referees for their kind assistance and help in evaluation of contributions. I would like to thank to the following my colleagues and students who helped us at every stage of International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2020). -
Spectral Radii of Bounded Operators on Topological Vector Spaces
SPECTRAL RADII OF BOUNDED OPERATORS ON TOPOLOGICAL VECTOR SPACES VLADIMIR G. TROITSKY Abstract. In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological vector spaces. Of course, the resulting theory has many similarities to the conventional spectral theory of bounded operators on Banach spaces, though there are several im- portant differences. The main difference is that an operator on a topological vector space has several spectra and several spectral radii, which fit a well-organized pattern. 0. Introduction The spectral radius of a bounded linear operator T on a Banach space is defined by the Gelfand formula r(T ) = lim n T n . It is well known that r(T ) equals the n k k actual radius of the spectrum σ(T ) p= sup λ : λ σ(T ) . Further, it is known −1 {| | ∈ } ∞ T i that the resolvent R =(λI T ) is given by the Neumann series +1 whenever λ − i=0 λi λ > r(T ). It is natural to ask if similar results are valid in a moreP general setting, | | e.g., for a bounded linear operator on an arbitrary topological vector space. The author arrived to these questions when generalizing some results on Invariant Subspace Problem from Banach lattices to ordered topological vector spaces. One major difficulty is that it is not clear which class of operators should be considered, because there are several non-equivalent ways of defining bounded operators on topological vector spaces. -
Note on the Solvability of Equations Involving Unbounded Linear and Quasibounded Nonlinear Operators*
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 56, 495-501 (1976) Note on the Solvability of Equations Involving Unbounded Linear and Quasibounded Nonlinear Operators* W. V. PETRYSHYN Deportment of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 Submitted by Ky Fan INTRODUCTION Let X and Y be Banach spaces, X* and Y* their respective duals and (u, x) the value of u in X* at x in X. For a bounded linear operator T: X---f Y (i.e., for T EL(X, Y)) let N(T) C X and R(T) C Y denote the null space and the range of T respectively and let T *: Y* --f X* denote the adjoint of T. Foranyset vinXandWinX*weset I”-={uEX*~(U,X) =OV~EV) and WL = {x E X 1(u, x) = OVu E W). In [6] Kachurovskii obtained (without proof) a partial generalization of the closed range theorem of Banach for mildly nonlinear equations which can be stated as follows: THEOREM K. Let T EL(X, Y) have a closed range R(T) and a Jinite dimensional null space N(T). Let S: X --f Y be a nonlinear compact mapping such that R(S) C N( T*)l and S is asymptotically zer0.l Then the equation TX + S(x) = y is solvable for a given y in Y if and only if y E N( T*)l. The purpose of this note is to extend Theorem K to equations of the form TX + S(x) = y (x E WY, y E Y), (1) where T: D(T) X--f Y is a closed linear operator with domain D(T) not necessarily dense in X and such that R(T) is closed and N(T) (CD(T)) has a closed complementary subspace in X and S: X-t Y is a nonlinear quasi- bounded mapping but not necessarily compact or asymptotically zero. -
Lp Spaces in Isabelle
Lp spaces in Isabelle Sebastien Gouezel Abstract Lp is the space of functions whose p-th power is integrable. It is one of the most fundamental Banach spaces that is used in analysis and probability. We develop a framework for function spaces, and then im- plement the Lp spaces in this framework using the existing integration theory in Isabelle/HOL. Our development contains most fundamental properties of Lp spaces, notably the Hölder and Minkowski inequalities, completeness of Lp, duality, stability under almost sure convergence, multiplication of functions in Lp and Lq, stability under conditional expectation. Contents 1 Functions as a real vector space 2 2 Quasinorms on function spaces 4 2.1 Definition of quasinorms ..................... 5 2.2 The space and the zero space of a quasinorm ......... 7 2.3 An example: the ambient norm in a normed vector space .. 9 2.4 An example: the space of bounded continuous functions from a topological space to a normed real vector space ....... 10 2.5 Continuous inclusions between functional spaces ....... 10 2.6 The intersection and the sum of two functional spaces .... 12 2.7 Topology ............................. 14 3 Conjugate exponents 16 4 Convexity inequalities and integration 18 5 Lp spaces 19 5.1 L1 ................................. 20 5.2 Lp for 0 < p < 1 ......................... 21 5.3 Specialization to L1 ....................... 22 5.4 L0 ................................. 23 5.5 Basic results on Lp for general p ................ 24 5.6 Lp versions of the main theorems in integration theory .... 25 1 5.7 Completeness of Lp ........................ 26 5.8 Multiplication of functions, duality ............... 26 5.9 Conditional expectations and Lp ............... -
A Remark on Sobolev Spaces. the Case 0
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector JOURNAL OF APPROXIMATION THEORY 13, 218-228 (1975) A Remark on Sobolev Spaces. The Case 0 < p < 1 JAAK PEETRE Department of’ Mathematics, Lw~d Institute of’ Technology, Lund, Sweden DEDICATED TO PROFESSOR'2. ti. LORENTZ ON THE OCCASION OF HIS SIXTY-FIFTH RlRTHDAY 1. INTRODUCTION As is well known, Sobolcv spaces are spaces of functions of II variables with suitably defined generalized partial derivatives belonging to L, , I <p .< co. In this note we shall deal with the extension to the case 0 <p < 1. The impetus for such an extension originally (cf. [6]) came from the problem of determining the class of functions having a given degree of approximation in certain nonlinear situations; as an example we may mention approximation by rational functions, a question that in our opinion does not yet seem to have obtained a completely adequate treatment (cf. e.g.. Lorentz [S, chapter 61 and the references given there}. Since we shall mainly be dealing with pathology, it will be sufficient to take 12 -- 1. There are several possible definitions of a Sobolev space, which are all equivalent if 1 <p .< cx). Here we shall mainly be dealing with the following one. DEFINITION I. 1. The Sobolev space W,j’Z, 0 < p < 1, uz an integer >O, over the interval 1 = [a, b] is the (abstract) completion of P, the space of infinitely differentiable functions over 1, in the quasinorm: In general ;I g jlLn ---=(f: i g(x)]” dx)l!“, and f’ := &/rl~,...,J(~~‘) = dirifi~/x’ri. -
Bibliography
Bibliography Adasch, N.; Ernst, B. [1]: Ultra-DF-Räume mit relativ kompakten beschränkten Teil mengen. Math. Ann. 206 (1973) 79-87 Adasch, N.; Ernst, B. [2]: Lokaltopologische Vektorräume. Collectanea Math. 25 (1974) 255-274 Adasch, N.; Ernst, B. [3]: Lokaltopologische Vektorräume II. Collectanea Math. 26 (1975) 13-18 Adasch, N.; Ernst, B.; Keim, D. [1]: Topological vectorspaces. Berlin-Heidelberg-NewYork 1978. = Lecture Notes in Mathematics, vol. 639 Alaoglu, L. [1]: Weak topologies on normed linear spaces. Ann. ofMath. 41 (1940) 252-267 Amemiya, 1.; Kömura, Y. [1]: Über nicht-vollständige Montelräume. Math. Ann.177 (1968) 273-277 Aoki, T. [1]: Locally bounded linear topological spaces. Proc. Imp. Acad. Tokyo 18 (1942) 588-594 Apiola, H. [1]: Duality between spaces of p-summable sequences, (p, q)-summing operators, and characterizations of nuclearity. Math. Ann. 219 (1976) 53-64 Apiola, H. [2]: Every nuc1ear Frechet space is a quotient of a Köthe-Schwartz space. Arch. Math. 35 (1980) 559-573 Arens, R. [1]: Duality in linear spaces. Duke Math. J. 14 (1947) 787-794 Arens, R.; Eells, J. [1]: On embedding uniform and topological spaces. Pacific J. Math. 6 (1956) 397-403 Arsover,.M.G. [1]: The Paley-Wienertheoreminmetriclinearspaces. PacificJ. Math.l0 (1960) 365-379 Arsove, M.G.; Edwards,R.E. [1]: Generalized bases in topologicallinear spaces. Studia Math. 19 (1960) 95-113 Baernstein, A. [1]: Representation of holomorphic functions by boundary integrals. Trans. Amer. Math. Soc. 160 (1971) 27-37 Baire, P. [1]: Sur les fonctions des variables reelles. Ann. of Math. 3 (1899) 1-32 Banach, S. [1]: Sur les fonctionelles lineaires. -
On the Topological Structure and Properties of Multidimensional (C, R) Space
S S symmetry Article On the Topological Structure and Properties of Multidimensional (C, R) Space Susmit Bagchi Department of Aerospace and Software Engineering (Informatics), Gyeongsang National University, Jinju 660701, Korea; [email protected] Received: 27 August 2020; Accepted: 16 September 2020; Published: 18 September 2020 Abstract: Generally, the linear topological spaces successfully generate Tychonoff product topology in lower dimensions. This paper proposes the construction and analysis of a multidimensional topological space based on the Cartesian product of complex and real spaces in continua. The geometry of the resulting space includes a real plane with planar rotational symmetry. The basis of topological space contains cylindrical open sets. The projection of a cylindrically symmetric continuous function in the topological space onto a complex planar subspace maintains surjectivity. The proposed construction shows that there are two projective topological subspaces admitting non-uniform scaling, where the complex subspace scales at a higher order than the real subspace generating a quasinormed space. Furthermore, the space can be equipped with commutative and finite translations on complex and real subspaces. The complex subspace containing the origin of real subspace supports associativity under finite translation and multiplication operations in a combination. The analysis of the formation of a multidimensional topological group in the space requires first-order translation in complex subspace, where the identity element is located on real plane in the space. Moreover, the complex translation of identity element is restricted within the corresponding real plane. The topological projections support additive group structures in real one-dimensional as well as two-dimensional complex subspaces. Furthermore, a multiplicative group is formed in the real projective space. -
ICMRS 2020 Proceedings Book
2020 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES: CURRENT TRENDS AND DEVELOPMENTS ONLINE MEETING, TURKEY NOVEMBER 20-22, 2020 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES: CURRENT TRENDS AND DEVELOPMENTS PROCEEDINGS BOOK ISBN: 978-625-409-146-9 2020 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES ICMRS 2020 ONLINE MEETING, TURKEY NOVEMBER 20-22, 2020 EDITORS ERHAN SET, PhD AHMET OCAK AKDEMİR, PhD ALPER EKİNCİ, PhD All papers have been peer reviewed. CHAIR Prof. Dr. Erhan SET Ordu University Turkey ORGANIZING COMMITTEE Assoc. Prof. Dr. Ahmet Ocak AKDEMİR Ağrı İbrahim Çeçen University Turkey Assoc. Prof. Dr. Alper EKİNCİ Bandırma Onyedi Eylül University Turkey SECRETARY PhD Stud. Barış ÇELİK Ordu University Turkey KEYNOTE SPEAKERS Prof. Dr. Fikret ALIEV Institute of Applied Mathematics, Baku State University – Azerbaijan Prof. Dr. Elvan AKIN Missouri University of Science and Technology-USA Prof. Dr. Maria Alessandra RAGUSA University of Catania – Italy Prof. Dr. Zlatko PAVIC University of Slavonski Brod- Croatia Prof. Dr. Juan Luis Garcia GUIRAO Technical University of Cartagena, Spain SCIENTIFIC COMMITTEE Abdallah BENAISSA, University of Batna, Emrah Evren KARA, Düzce University, Algeria Turkey Ahmet Ocak AKDEMİR, Ağrı İbrahim Çeçen Ercan ÇELİK, Atatürk University, Turkey University, Turkey Erdal ÜNLÜYOL, Ordu University, Turkey Ali ALLAHVERDI, Kuwait University, Kuwait Erdinç DÜNDAR, Afyon Kocatepe University, Ali EMROUZNEJOD, Aston University, U.K. Turkey Halit ORHAN, Atatürk University, Turkey Erhan DENİZ, Kafkas University, Turkey Allal GUESSAB, Université de Pau et des Erhan SET, Ordu University, Turkey Pays de I'Adour, France Evrim GÜVEN, Kocaeli University, Turkey Alper EKİNCİ, Bandirma Onyedi Eylul University, Turkey Feng QI, Henan Polytechnic University, China Anthony SOFO, Victoria University, Australia Ferhan M. -
Fractional Norms and Quasinorms Do Not Help to Overcome the Curse of Dimensionality
entropy Article Fractional Norms and Quasinorms Do Not Help to Overcome the Curse of Dimensionality Evgeny M. Mirkes 1,2,∗ , Jeza Allohibi 1,3 and Alexander Gorban 1,2 1 School of Mathematics and Actuarial Science, University of Leicester, Leicester LE1 7HR, UK; [email protected] (J.A.); [email protected] (A.G.) 2 Laboratory of Advanced Methods for High-Dimensional Data Analysis, Lobachevsky State University, 603105 Nizhny Novgorod, Russia 3 Department of Mathematics, Taibah University, Janadah Bin Umayyah Road, Tayba, Medina 42353, Saudi Arabia * Correspondence: [email protected] Received: 4 August 2020; Accepted: 27 September 2020; Published: 30 September 2020 Abstract: The curse of dimensionality causes the well-known and widely discussed problems for machine learning methods. There is a hypothesis that using the Manhattan distance and even fractional lp quasinorms (for p less than 1) can help to overcome the curse of dimensionality in classification problems. In this study, we systematically test this hypothesis. It is illustrated that fractional quasinorms have a greater relative contrast and coefficient of variation than the Euclidean norm l2, but it is shown that this difference decays with increasing space dimension. It has been demonstrated that the concentration of distances shows qualitatively the same behaviour for all tested norms and quasinorms. It is shown that a greater relative contrast does not mean a better classification quality. It was revealed that for different databases the best (worst) performance was achieved under different norms (quasinorms). A systematic comparison shows that the difference in the performance of kNN classifiers for lp at p = 0.5, 1, and 2 is statistically insignificant. -
For June 2013 !!
WIPU - World Independent Promoters Union specialised sanctioning body made by promoters for promoters under Oriental Pro Boxing & MMA rules in association with OPBU - Oriental Pro Boxing Union World sanctioning body for International Muaythai / K-1 & Oriental kick rules Present ORIENTAL PRO BOXING INDEPENDENT COMPUTERISED WORLD SUPER STAR RANKINGS FOR JUNE 2013 !! under rules of Thai boxing - full muaythai / International muaythai & Japanese boxing - Shootboxing / K-1 & oriental kick We have the best, unbiassed and most objective world professional fighting and ranking system ! Following suggestions from different promoters around the world, WIPU has added also 10 BEST FIGHTERS POUND FOR POUND rankings, and has included all WIPU & OPBU recognised champions into ranking system so that we can get a complete picture of best 20 fighters in the world, no matter under which fighting rules are fighting, to which promotional company or sanctioning body they belong ! Together with rankings, WIPU will publish also list of present WIPU & OPBU champions with info of upcomming title fights around the globe and those who are already confirmed or under negotiations. e-mail : [email protected] mobile phone : +385 98 421 300 www.wipu-kings.com OFFICIAL RANKINGS ENDED WITH JUNE 30th 2013 BEST TOP 10 FIGHTERS POUND – FOR - POUND 1. Yodsaenklai Fairtex ( THAI ) = 1.373 pts 2. Giorgio Petrosian ( ARM / ITA ) = 1.372 pts 3. Andy Souwer ( NL ) = 1.304 pts 4. Buakaw Banchamek ( THAI ) = 1.211 pts 5. Tyrone Spong ( SUR / NL ) = 1.209 pts 6. Semmy Schilt ( NL ) = 1.186 pts 7. Badr Hari ( MOR / NL ) = 1.159 pts 8. Kem Sitsongpeenong ( THAI ) = 1.084 pts 9.