A theorem on remainders of topological groups
Sign Up to like & getrecommendations! Published in 2017 at "Topology and its Applications"
DOI: 10.1016/j.topol.2017.02.003
Abstract: It has been established in [7–9] that a non-locally compact topological group G with a first-countable remainder can fail to be metrizable. On the other hand, it was shown in [6] that if some remainder… read more here.
Keywords: remainder; theorem remainders; topological groups; topology ... See more keywords
Mass-Remainder Analysis (MARA): a New Data Mining Tool for Copolymer Characterization.
Sign Up to like & getrecommendations! Published in 2018 at "Analytical chemistry"
DOI: 10.1021/acs.analchem.7b04730
Abstract: A new data mining method is proposed for the determination of the copolymer composition from moderate/low resolution complex mass spectra. The Mass-remainder analysis (MARA) does not require a "Kendrick-like" transformation to a new mass scale,… read more here.
Keywords: remainder; mass remainder; remainder analysis; mass ... See more keywords
A generalization of the remainder theorem and factor theorem
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Mathematical Education in Science and Technology"
DOI: 10.1080/0020739x.2018.1522676
Abstract: ABSTRACT We propose a generalization of the classical Remainder Theorem for polynomials over commutative coefficient rings that allows calculating the remainder without using the long division method. As a consequence we obtain an extension of… read more here.
Keywords: remainder; generalization; theorem; factor theorem ... See more keywords
On the Foundation of Sparsity Constrained Sensing— Part I: Sampling Theory and Robust Remainder Problem
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2023.3247138
Abstract: In the first part of the series papers, we set out to answer the following fundamental question: for constrained sampling, what kind of signal can be uniquely represented or recovered by the (distributed) discrete sample… read more here.
Keywords: sensing italic; sparsity; robust remainder; sparsity constrained ... See more keywords
Nonautonomous Bounded Remainder Sets
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DOI: 10.3103/s1066369x18120071
Abstract: Nonautonomous bounded remainder sets are sequences of sets that admit a uniform estimation of the remainder term in the distribution of fractional parts of a linear function. In this paper, we give a complete description… read more here.
Keywords: remainder; remainder sets; nonautonomous bounded; bounded remainder ... See more keywords