some applications of classical modular forms to number theory

... importance in learning English in general and spelling, developing vocabulary in particular. It’s also play an 17 English morpheme system Luong Thuan & Kim Phuong ã First, both English morphemes ... more popular of English becomes the more important of using correct English we should do. In the limited time and scope, we have introduced some features...

Ngày tải lên: 08/04/2013, 09:31

... Some Novel Applications of Explanation-Based Learning to Parsing Lexicalized Tree-Adjoining Grammars" B. Srinivas and Aravind K. Joshi Department of Computer and Information ... tectures to show the effectiveness of our ap- proach. 1 Introduction In this paper we present some novel applications of the so-called Explanation-Based Learning techniq...

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... Computer Architecture, Digital Signal Processing and Audio Engineering. In 1993 he was General Chair of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (“Mohonk Workshop”). ... using a 42 APPLICATIONS OF DSP TO AUDIO AND ACOUSTICS method of generation. In fact, every conceivable digital signal may (and probably will...

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... applicable to precise evaluation of speech translation systems with a limited task/domain capability. A major disadvantage of the translation paired comparison method is its subjective approach to evaluation. Such ... the automatic evaluation methods that are applied to the pro- posed method. Basically, these methods are based on the same idea, that is, to c...

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... non-negative integer m. Show that m = lcm(a, b). A Computational Introduction to Number Theory and Algebra (Version 2) Victor Shoup 78 Euclid’s algorithm allows us to efficiently compute s and ... divisibility and primality, unique factorization into primes, greatest com- mon divisors, and least common multiples. 1.1 Divisibility and primality A central concept in nu...

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... Inequalities and Applications Volume 2010, Article ID 790730, 11 pages doi:10.1155/2010/790730 Research Article Some Applications of Srivastava-Attiya Operator to p-Valent Starlike Functions E. A. Elrifai, ... one-parameter families of integral operators,” Journal of Mathematical Analysis and Applications, vol. 176, no. 1, pp. 138–147, 1993. 8 J L. Liu, Some...

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... Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 312876, 11 pages doi:10.1155/2008/312876 Research Article Applications of Fixed Point Theorems in the ... autoregressive time series, engineer sciences, physics, and so forth. For applications of IFSs in image processing theory, in the theory of stochastic grow...

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... completes the proof of the lemma.  Remark 3.6. If n = 1, one can solve g  − λ −1 g = 0 directly without having to appeal to the theory of elliptic PDEs. Proposition 3.7. The solutions of (3.18)and(3.24)havethesameform. Proof. ... without verification. Indeed the authors stated therein that t he solutions of (3.18)and(3.24)areofthesame form because of the positivity...

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... solution of Eq. (65) in the presence of the potential U. At the boundary, the Boltzmann distribution is imposed. 20 Some Applications of Quantum Mechanics Some Applications of Quantum ... part of nuclear physics. Applications of quantum mechanics in solid-state physics and nanotechnology are described well in chapter seven. Chapter eight covers...

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Ngày tải lên: 05/08/2014, 15:21

... that the graph Γ i is the i-th class of the scheme, and so we indistinctly use the words graph or “class” to mean the same thing. 2 The Proper and Adjacency Polynomials In this section we introduce ... trivial.) Then, by the converse of Theorem 2.5 , it must be Q k  u ≥ 1. On the other hand, in the proof of Theorem the electronic journal of combi...

Ngày tải lên: 07/08/2014, 06:20

... Saltman John Tate SOME APPLICATIONS OF CLASSICAL MODULAR FORMS TO NUMBER THEORY by Riad Mohamad Masri, B.S.; M.S. DISSERTATION Presented to the Faculty of the Graduate School of The University of Texas ... brought to my life over the past year. Part of this research was supported by a Joseph Patrick Brannen Fellowship in Mathematics. v SOME APPLICATIONS OF...

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