Xem 1-15 trên 15 kết quả Singularity analysis
  • In this chapter, we present a general approach to the analysis of coefficients of generating functions that is not restricted to polar singularities and extends to a large class of functions that have moderate growth or decay at their dominant singularities. This chapter presents the following content: Prelude, standard function scale, singularity analysis, schemas and transfer theorems.

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  • Singularity analysis paves the way to the analysis of a large quantity of generating functions, as provided by the symbolic method expounded in Chapters I–III. In this chapter we illustrate this situation with numerous examples related to languages, permutations, trees, and graphs of various sorts. As in chapter 5, most analyses are organized into broad classes called schemas.

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  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: A Hybrid of Darboux’s Method and Singularity Analysis in Combinatorial Asymptotics...

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  • This paper is a continuation of Fefferman’s program [7] for studying the geometry and analysis of strictly pseudoconvex domains. The key idea of the program is to consider the Bergman and Szeg¨ kernels of the domains as o analogs of the heat kernel of Riemannian manifolds. In Riemannian (or conformal) geometry, the coefficients of the asymptotic expansion of the heat kernel can be expressed in terms of the curvature of the metric; by integrating the coefficients one obtains index theorems in various settings. ...

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  • The purpose of this chapter is largely to serve as an accessible introduction or a refresher of basic notions regarding analytic functions. We start by recalling the elementary theory of functions and their singularities in a style tuned to the needs of analytic combinatorics. Cauchy’s integral formula expresses coefficients of analytic functions as contour integrals. Suitable uses of Cauchy’s integral formula then make it possible to estimate such coefficients by suitably selecting an appropriate contour of integration.

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  • Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí khoa học vật lý quốc tế đề tài: THE COVARIABILITY BETWEEN ANOMALOUS NORTHEAST MONSOON RAINFALL IN MALAYSIA AND SEA SURFACE TEMPERATURE IN INDIAN-PACIFIC SECTOR: A SINGULAR VALUE DECOMPOSITION ANALYSIS APPROACH

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  • Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article Analysis and Numerical Solutions of Positive and Dead Core Solutions of Singular Sturm-Liouville Problems

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: TERMINAL VALUE PROBLEM FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS: THEORETICAL ANALYSIS AND NUMERICAL SIMULATIONS OF GROUND STATES

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  • This book contains the lectures given at the Centro Internazionale Matematico Estivo (CIME), during the session Direct and Inverse Method in Non Linear Evolution Equations, held at Cetraro in September 1999. The lecturers were R. Conte of the Service de physique de l’´etat condens´e, CEA Saclay, F. Magri of the University of Milan, M. Musette of Dienst Theoretical Naturalness, Verite Universities Brussels, J. Satsuma of the Graduate School of Mathematical Sciences, University of Tokyo and P. Winternitz of the Centre de recherches math´ematiques, Universit´e de Montr´eal....

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  • Olfaction is primarily mediated by the large family of olfactory receptors. Although all insect olfactory receptors share the same structure with seven transmembrane domains, they present poor sequence homologies within and between species. As the only exception, Drosophila melanogaster OR83b and its orthologues define a receptor subtype singularly conserved between insect species.

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  • Pathophysiologic responses in brain after stroke are highly complex. Thus far, a singular focus on saving neurons alone has not revealed any clinically effective neuroprotectants. To address this limitation, the concept of a neu-rovascular unit was developed. Within this conceptual framework, brain function and dysfunction are manifested at the level of cell–cell signaling between neuronal, glial and vascular elements.

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  • In conclusion, let us outline a different argument, very much in the spirit of Lectures 8 and 5. We considered in these lectures the space of polynomials of a certain type (such as x3 + px + q or x5 − x + a) and saw that the set of polynomials with multiple roots separated the whole space into pieces, corresponding to the number of roots of a polynomial. The set of polynomials with multiple roots is a (very singular) hypersurface obtained by equating the discriminant of a polynomial to zero.

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  • Hindawi Publishing Corporation Boundary Value Problems Volume 2010, Article ID 429813, 18 pages doi:10.1155/2010/429813 Research Article Superlinear Singular Problems on the Half Line ˚ ´ ˇ Irena Rachunkova and Jan Tomecek Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palack´ University, tˇ . 17. listopadu 12, 771 46 Olomouc, Czech Republic y r Correspondence should be addressed to Irena Rachunkov´ , rachunko@inf.upol.cz a ˚ Received 19 October 2010; Accepted 7 December 2010 Academic Editor: Zhitao Zhang Copyright q 2010 I.

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  • Let p 1 and let (X, d, μ) be a complete metric measure space with μ Borel and doubling that admits a (1, p)-Poincar´ inequality. Then there exists e ε 0 such that (X, d, μ) admits a (1, q)-Poincar´ inequality for every q p−ε, e quantitatively. 1. Introduction Metric spaces of homogeneous type, introduced by Coifman and Weiss [7], [8], have become a standard setting for harmonic analysis related to singular integrals and Hardy spaces. Such metric spaces are often referred to as a metric measure space with a doubling measure. An advantage of working...

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  • In this chapter you will learn: Definition, two important singularity functions, transform pairs, properties of the transform, inverse transform, initial-value and final-value theorems, laplace circuit solutions, circuit element models, analysis techniques, convolution integral, transfer function.

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