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(These are the same, insofar as recently the classic Ces` aro–Riesz theory of summability of se- ries and integrals has been given a distributional interpretation.) When applied to
Baruah, Bora, and Saikia [2] also found new proofs for the relations which involve only the G¨ollnitz-Gordon functions by using Schr¨oter’s formulas and some theta-function
We prove that for some form of the nonlinear term these simple modes are stable provided that their energy is large enough.. Here stable means orbitally stable as solutions of
It is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the
discrete ill-posed problems, Krylov projection methods, Tikhonov regularization, Lanczos bidiago- nalization, nonsymmetric Lanczos process, Arnoldi algorithm, discrepancy
The GKS-DRTLS with preconditioner outperforms DRTLSnp, RTLSQEP, and RTLSEVP in all examples, i.e., the relative residual is computed to almost machine precision within a search space
Jin [21] proved by nonstandard methods the following beautiful property: If A and B are sets of natural numbers with positive upper Banach density, then the corresponding sumset A +
(The members of [r] themselves will also at times be described as special .) Note that by definition all non-minimal elements within non-special blocks are assigned one of m