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1	Dimension of certain cleft binomial rings / Montgomery, Martin, January 2006 (has links) Thesis (Ph. D.)--University of Oregon, 2006. / Typescript. Includes vita and abstract. Includes bibliographical references (leaf 77). Also available for download via the World Wide Web; free to University of Oregon users. Associative rings. Binomial theorem.
2	New approaches to testing a composite null hypothesis for the two sample binomial problem / Taneja, Atrayee January 1986 (has links) No description available. Statistics Binomial theorem Statistical hypothesis testing
3	Option pricing in combination with classical numerical integration methods. January 2001 (has links) Heung Ling-lung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 81-82). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgements --- p.iv / Chapter Chapter1: --- Introduction --- p.1 / Chapter Chapter2: --- Review of binomial schemes and trinomial schemes --- p.4 / Chapter Chapter3: --- Binomial/trinomial scheme from the viewpoint of quadrature --- p.12 / Chapter Chapter4: --- Binomial/trinomial schemes from Gaussian quadrature formula --- p.16 / Chapter Chapter5: --- New Schemes from other quadrature formula --- p.27 / Chapter Chapter6: --- Multinomial scheme --- p.35 / Chapter Chapter7: --- Numerical results --- p.41 / Chapter Chapter8: --- Conclusion --- p.47 / Appendix --- p.49 / Bibliography --- p.81 Numerical integration Binomial theorem
4	Sequences and Summation and Product of Series Lin, Yi-Ping 23 June 2010 (has links) This paper investigates four important methods of solving summation and product problems in mathematics competitions. Chapter 1 presents the basic concepts of sequence and series, including arithmetic sequence (series), geometric sequence (series) and infinite geometric sequence (series). Chapter 2 handles the binomial coefficients and binomial theorem and show they how can be applied to compute series sum. Chapter 3 deals with power series, including interchanging summation and differentiation; interchanging summation and integration; and generating function which expresses a sequence as coefficients arising from a power series in variables. Chapter 4 provides four methods of telescoping sum, including antidifference, partial fractions, trigonometric functions, and factorial functions. Chapter 5 discusses the telescoping product which the main ideas and techniques are analogous to telescoping sum. Two types of telescoping product including difference of two squares and trigonometric functions are investigated. trigonometric functions telescoping sum telescoping product Taylor's theorem power series partial fraction series sequence Newton theorem geometric sequence (series) arithmetic sequence (series) generating function falling factorial binomial theorem antidifference
5	Aplikace matematických znalostí při výuce biologie STUDENÁ, Lucie January 2018 (has links) The Theses deals with applications of mathematical knowledge in teaching biology and it is divided into four chapters. Each chapter is dedicated to another application: 1. Application of conditional probability in medical diagnostics, 2. Application of exponential function in population ecology, 3. Application of logic functions in mathematical modelation of neuron and 4. Aplication of binomial theorem and binomial distribution in genetics. Each application contains solved problems, a worksheet for students and a solution for each worksheet. Two application (1. and 2.) have been tested in teaching and as an assessment of my lessons students filled questionnaires. Results of these questionnaires are processed in the end of these chapters. This Thesis can be used in teaching or self-studying.
6	Applications of Generating Functions Tseng, Chieh-Mei 26 June 2007 (has links) Generating functions express a sequence as coefficients arising from a power series in variables. They have many applications in combinatorics and probability. In this paper, we will investigate the important properties of four kinds of generating functions in one variables: ordinary generating unction, exponential generating function, probability generating function and moment generating function. Many examples with applications in combinatorics and probability, will be discussed. Finally, some well-known contest problems related to generating functions will be addressed. moment generating function ordinary generating function exponential generating function probability generating function recurrence relation recurrence binomial coefficient binomial theorem weak law of large numbers central limit theorem moment probability distribution variance power series identities induction counting problem partition Fibonacci partial fractions sequence expectation convolution
7	Adungované soustavy diferenciálních rovnic / Adjoint Differential Equations Kmenta, Karel January 2007 (has links) This project deals with solving differential equations. The aim is find the correct algorithm transforming differential equations of higher order with time variable coefficients to equivalent systems of differential equations of first order. Subsequently verify its functionality for equations containing the involutioin goniometrical functions and finally implement this algorithm. The reason for this transformation is requirement to solve these differential equations by programme TKSL (Taylor Kunovský simulation language).

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