WebbThe problem of missing terms in term by term integration involving divergent integrals Abstract Term by term integration may lead to divergent integrals, and naive evaluation of them by means of, say, analytic continuation or by regularization or by the finite part integral may lead to missing terms. WebbThe problem of integration in finite terms with dilogarithmic integrals was first considered by Baddoura (See [1], p.933), where heproved the following theorem: If E is atranscendental dilogarithmic-elementary extension of F, C E =C F , C F is an algebraically closed field, F is a
The problem of integration in finite terms - University of California ...
Webb20 aug. 2024 · Some upper bounds on the number of sample points sufficient for good discretization of the integral L_p norms of elements of finite-dimensional subspaces satisfying some conditions are obtained. The paper addresses a problem of sampling discretization of integral norms of elements of finite-dimensional subspaces satisfying … Webb19721 INTEGRATION IN FINITE TERMS 963 6. W. Gustin, On the interior of the convex hull of a euclidean set, Bull. Amer. Math. Soc., 53 (1947) 299-301. ... Thus the original loosely worded analytic problem, when formulated as a … green party political platform
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WebbThe theory of integration in finite terms, created by Liouville in the early 1800's and summarized by Ritt in 1948, has experienced renewed interest in recent times, … WebbAn Extension of Liouville’s Theorem on Integration in Finite Terms. ... The problem of integration in finite terms, Trans. Amer. Math. Soc., 139 (1969), 167–189 38:5759 0184.06702 Crossref ISI Google Scholar [RITT48] Joseph Fels … WebbThe problem of integration in finite terms asks for an algorithm for deciding whether an elementary function has an elementary indefinite integral and for finding the integral if … fly or ride