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1	Investigating methods of partial fraction decomposition Newberry, Anthony David 02 February 2012 (has links) Abstract Investigating Methods of Partial Fraction Decomposition Anthony David Newberry, MA The University of Texas at Austin, 2011 Supervisor: Efraim Armendariz This report discusses the history of partial fractions. The paper investigates several methods of solving partial fraction decomposition problems. First, the basic method taught in most calculus courses is addressed. Another method addressed is a substitution method in which a clever substitution is used to transform expressions into something more easily integrable. Then, a rationale for partial fraction decomposition is given that includes a number theory perspective, a calculus perspective, and an algebraic perspective. A fourth method discussed involves using derivatives. / text Partial fractions Decomposition problems
2	Amenable Bases Over Infinite Dimensional Algebras Zailaee, Majed 24 May 2022 (has links) No description available. Mathematics Infinite-dimensional algebras Amenable bases Congenial Bases Partial Fractions Basic Modules Duo Amenable Algebras
3	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

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