Mathematical and Theoretical Analysis
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Scope of this subject
This cluster of papers explores the applications of generalized functions, infinite and infinitesimal numbers, and non-Archimedean mathematics in various mathematical and physical contexts. It covers topics such as Colombeau algebras, numerical computations, nonlinear models, microlocal analysis, topological structures, algebraic theory, and nonstandard analysis.
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Research vocabulary
generalized functions; nonstandard analysis; real analysis; Lebesgue integral; real numbers; microlocal analysis; Riemann integral; integration theory; infinitesimals; Lebesgue measure; real functions; differentiability; hyperreal numbers; Schwartz distributions; hyperfunctions; foundations of analysis; Henstock-Kurzweil integral; improper integrals; ultradistributions; Cauchy sequences; Colombeau algebras; fundamental theorem of calculus; propagation of singularities; tempered distributions; Dedekind cuts
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Numeric address and provenance
Morton address: 38360036687126641 · morton4x16-v1
Coordinates: (3, 26, 2610, 13400). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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