Results 1 to 10 of about 607,173 (294)

Compactness in Metric Spaces [PDF]

open access: yes, 2016
In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Grzegorz Bancerek   +4 more
core   +4 more sources

The Goursat problem for hyperbolic linear third order equations

open access: yesMathematical Modelling and Analysis, 2001
The third order hyperbolic linear differential equation is considered in the non‐cylindrical domain of multidimensional Euclidean space. The equation operator is a composition of a differentiation operator of the first order and second order operator ...
V. I. Korzyuk
doaj   +1 more source

Universal arrows to forgetful functors from categories of topological algebra [PDF]

open access: yes, 1992
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
core   +2 more sources

Pregeometric Concepts on Graphs and Cellular Networks as Possible Models of Space-Time at the Planck-Scale [PDF]

open access: yes, 1998
Starting from the working hypothesis that both physics and the corresponding mathematics have to be described by means of discrete concepts on the Planck-scale, one of the many problems one has to face is to find the discrete protoforms of the building ...
Balachandran   +14 more
core   +2 more sources

Entropic Projections and Dominating Points [PDF]

open access: yes, 2010
Generalized entropic projections and dominating points are solutions to convex minimization problems related to conditional laws of large numbers.
Borwein   +22 more
core   +5 more sources

Cohomology of Jordan triples via Lie algebras [PDF]

open access: yes, 2015
We develop a cohomology theory for Jordan triples, including the infinite dimensional ones, by means of the cohomology of TKK Lie algebras. This enables us to apply Lie cohomological results to the setting of Jordan triples.
Chu, Cho-Ho, Russo, Bernard
core   +2 more sources

Test of an Analytic, Finite, Non-Perturbative, Gauge-Invariant QCD formulation against elastic pp scattering at the ISR energies

open access: yes, 2017
A recent QCD formulation that is non-perturbative, finite, gauge-invariant, exact emerged from Schwinger's Generating Functional. A first test of the validity of this formulation is provided here against elastic proton-proton scattering at the ...
Tsang, Peter H.
core   +1 more source

The Ck Space [PDF]

open access: yes, 2013
In this article, we formalize continuous differentiability of realvalued functions on n-dimensional real normed linear spaces. Next, we give a definition of the Ck space according to [23].This work was supported by JSPS KAKENHI 22300285Kanazashi Katuhiko
Kanazashi, Katuhiko   +2 more
core   +3 more sources

Application of the "Fishbone" Technology in the Organization of Independent Work of Students in Higher Mathematics [PDF]

open access: yes, 2017
Formation of a creative personality able to self-development, self-education, and innovative activity is the main objective of graduate education. In this regard, a special attention should be paid to the organization of independent work of students in a
Podberezina, Elena Ivanovna   +2 more
core   +1 more source

Nonlinear geometric analysis on Finsler manifolds

open access: yes, 2017
This is a survey article on recent progress of comparison geometry and geometric analysis on Finsler manifolds of weighted Ricci curvature bounded below.
Ohta, Shin-ichi
core   +1 more source

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