Results 21 to 30 of about 2,779,137 (346)
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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A Fundamental Theorem of Asset Pricing for Continuous Time Large Financial Markets in a Two Filtration Setting [PDF]
Theory of Probability and its Applications, 2017 We present a version of the fundamental theorem of asset pricing (FTAP) for continuous time large financial markets with two filtrations in an $L^p$-setting for $ 1 \leq ...
Christa Cuchiero, I. Klein, J. Teichmann
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TheoremQA: A Theorem-driven Question Answering dataset [PDF]
Conference on Empirical Methods in Natural Language Processing, 2023 The recent LLMs like GPT-4 and PaLM-2 have made tremendous progress in solving fundamental math problems like GSM8K by achieving over 90% accuracy.
Wenhu Chen +8 more
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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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On the Fundamental Theorem of Algebra [PDF]
Colloquium Mathematicum, 1997 The author gives an ingenious and nice proof of the fundamental theorem of algebra. The reviewer feels that this proof will easily go into textbooks of analysis if he supplies the justification for ``\(f(z)= R(z)-R(a)\) satisfies the hypothesis of the above lemma''.
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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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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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Construction of Quasi-Cyclic LDPC Codes Based on Fundamental Theorem of Arithmetic
Wireless Communications and Mobile Computing, 2018 Quasi-cyclic (QC) LDPC codes play an important role in 5G communications and have been chosen as the standard codes for 5G enhanced mobile broadband (eMBB) data channel.
Hai Zhu, Liqun Pu, Hengzhou Xu, Bo Zhang
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