Exponential type functions

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  • This book focuses on the Fourier transform applications in the analysis of some types of materials. The field of Fourier transform has seen explosive growth during the past decades, as phenomenal advances both in research and application have been made. During the preparation of this book, we found that almost all the textbooks on materials analysis have a section devoted to the Fourier transform theory. Most of those describe some formulas and algorithms, but one can easily be lost in seemingly incomprehensible mathematics....

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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: Research Article Derivatives of Integrating Functions for Orthonormal Polynomials with Exponential-Type Weights

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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: Research Article Derivatives of Integrating Functions for Orthonormal Polynomials with Exponential-Type Weights

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  • EXPONENTIAL STABILITY OF DYNAMIC EQUATIONS ON TIME SCALES ALLAN C. PETERSON AND YOUSSEF N. RAFFOUL Received 6 July 2004 and in revised form 16 December 2004 We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given. 1. Introduction This paper considers the exponential stability of the zero solution of the first-order vector dynamic equation x∆ = f (t,x), t ≥ 0. (1.

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  • Lecture Mathematics 53 - Lecture 5.5 introduce the indeterminate forms and L’Hôpital’s rule. This chapter presents the following content: Indeterminate Forms of Type 0/0 and ∞/∞, L’Hôpital’s rule, indeterminate forms of type 0 · ∞ and ∞ − ∞, indeterminate forms of type 1∞, 0/0 and ∞0.

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