Titlebook: Engineering Mathematics II; Algebraic, Stochasti Sergei Silvestrov,Milica Rančić Conference proceedings 2016 Springer International Publish

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,Computing Burchnall–Chaundy Polynomials with Determinants,In this expository paper we discuss a way of computing the Burchnall–Chaundy polynomial of two commuting differential operators using a determinant. We describe how the algorithm can be generalized to general Ore extensions, and which properties of the algorithm that are preserved.

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Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes,New algorithms for computing asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on special techniques of sequential phase space reduction, which can be applied to processes with asymptotically coupled and uncoupled finite phase spaces.

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Polysaccharide Assembly in Eukaryotes,tudy centralizers in certain algebras with valuations. We prove that the centralizer of an element in these algebras is a free module over a certain ring. Under further assumptions we obtain that the centralizer is also commutative.

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The Birth of the British Motor Car 1769–1897 that the problem of generalized support vector machine is equivalent to the problem of generalized variational inequality and establish various results for the existence of solutions. Moreover, we provide various examples to support our results.

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The Birthpangs of Protestant Englandifications is used. The problem of generalized support vector machine is shown to be equivalent to the problem of generalized variational inequality and various results for the existence of solutions are established. Moreover, examples supporting the results are provided.