Andrade, Bernardo Borba de, Univ. of Brasilia and Applied Math/Stats-UFRN, Brazil
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Vol 7 (2015) - Articles
Near equivalence on metric spaces and a nonstandard central limit theorem
Abstract 3. [PDF]
Journal of Logic and Analysis ISSN: 1759-9008
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Keywords
Algebraic basis, Hamel basis, algebraic dual, dual operator, linear partial differential operator, linear partial differential equation, solvability, existence of a solution, generalized solution, Schwartz distribution
Fourier transform
Gaussian measures
MV-algebras
Nonstandard analysis
Pontryagin-van Kampen duality
R-trees, model theory, metric structures, continuous logic, real-valued structures, model completion, categoricity, stability
Representation of integers, Internal set theory, Polynomial congruence
Riesz spaces, sheaf representation
Solovay reducibility, Lipschitz continuity, Hölder continuity, computable analysis
Spherical integrals
Ultrafilters, Ultrapowers, Almost disjoint families, Banach spaces, epsilon-separated sets, Measurable cardinals
exponential fields
hyperfinite
infinitesimal approximation
integer parts
local algebras
locally compact abelian group
nonstandard analysis
real exponentiation
true arithmetic, Peano arithmetic