Results 11 to 20 of about 646,451 (325)
The fundamental theorem of affine geometry
Extracta Mathematicae, 2023 We deal with a natural generalization of the classical Fundamental Theorem of Affine Geometry to the case of non bijective maps. This extension geometrically characterizes semiaffine morphisms. It was obtained by W.
J.B. Sancho de Salas
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Common fixed point, Baire's and Cantor's theorems in neutrosophic 2-metric spaces
AIMS Mathematics, 2023 These fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article.
Umar Ishtiaq +4 more
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Frames associated with an operator in spaces with an indefinite metric
AIMS Mathematics, 2023 In the present paper, we study frames associated with an operator ($ \mathcal{W} $-frames) in Krein spaces, and we give the definition of frames associated with an operator depending on the adjoint of the operator in the Krein space (Definition 4.1).
Osmin Ferrer Villar +2 more
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On the Second Fundamental Theorem of Asset Pricing [PDF]
, 2015 Let $X^1,\ldots, X^d$ be sigma-martingales on $(\Omega,{\cal F}, P)$. We show that every bounded martingale (with respect to the underlying filtration) admits an integral representation w.r.t.
Karandikar, Rajeeva L, Rao, B V
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A homotopy exact sequence for overconvergent isocrystals
Forum of Mathematics, Sigma, 2021 In this article we prove exactness of the homotopy sequence of overconvergent fundamental groups for a smooth and projective morphism in characteristic p. We do so by first proving a corresponding result for rigid analytic varieties in characteristic $0$,
Christopher Lazda, Ambrus Pál
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Andreev's Theorem on hyperbolic polyhedra [PDF]
, 2006 In 1970, E. M. Andreev published a classification of all three-dimensional compact hyperbolic polyhedra having non-obtuse dihedral angles. Given a combinatorial description of a polyhedron, $C$, Andreev's Theorem provides five classes of linear ...
Dunbar, William D. +2 more
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Fundamental Theorem of Calculus [PDF]
Advances in Applied Clifford Algebras, 2010 A simple but rigorous proof of the Fundamental Theorem of Calculus is given in geometric calculus, after the basis for this theory in geometric algebra has been explained. Various classical examples of this theorem, such as the Green's and Stokes' theorem are discussed, as well as the new theory of monogenic functions, which generalizes the concept of ...
Sobczyk, Garret, Sanchez, Omar
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Fundamental theorem of Wiener calculus
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we define and develop a theory of differentiation in Wiener space C[0,T]. We then proceed to establish a fundamental theorem of the integral calculus for C[0,T].
Chull Park +2 more
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Finiteness results for subgroups of finite extensions [PDF]
, 2014 We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subgroups within classes of groups such as virtually free groups, virtually ...
Araujo, Vitor +2 more
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The SVD-Fundamental Theorem of Linear Algebra
Nonlinear Analysis, 2006 Given an m×n matrix A, with m ≥ n, the four subspaces associated with it are shown in Fig. 1 (see [1]). Fig. 1. The row spaces and the nullspaces of A and AT ; a1 through an and h1 through hm are abbreviations of the alignerframe and hangerframe vectors ...
A. G. Akritas +2 more
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