Results 31 to 40 of about 31,378 (268)
Near Convexity, Metric Convexity, and Convexity
Rocky Mountain Journal of Mathematics, 2007 Many aspects of convexity in a normed space, hidden by the classical use of the obscure principle of excluded middle, are only revealed by a constructive approach. This paper studies various types of convexity, introducing several new concepts; it uses methods proposed by \textit{E.\,A.\thinspace Bishop} in Chapter~1 of ``A Constructivist Manifesto ...
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Entropy, 2010 Convex roof extensions are widely used to create entanglement measures in quantum information theory. The aim of the article is to present some tools which could be helpful for their treatment. Sections 2 and 3 introduce into the subject. It follows descriptions of the Wootters' method, of the "subtraction procedure", and examples on how to use ...
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Biometrics, 2016 SummaryIn the biclustering problem, we seek to simultaneously group observations and features. While biclustering has applications in a wide array of domains, ranging from text mining to collaborative filtering, the problem of identifying structure in high-dimensional genomic data motivates this work.
Chi, Eric C. +2 more
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SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS
Проблемы анализа, 2020 In this study, we formulate the identity and obtain some generalized inequalities of the Hermite–Hadamard type by using fractional Riemann–Liouville integrals for functions whose absolute values of the second derivatives are convex.
B. Bayraktar
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THE CONVEX INTERSECTION BODY OF A CONVEX BODY [PDF]
Glasgow Mathematical Journal, 2011 AbstractLet L be a convex body in n and z an interior point of L. We associate with L and z a new, convex and centrally symmetric, body CI(L, z). This generalizes the classical intersection bodyI(L, z) (whose radial function at u ∈ Sn−1 is the volume of the hyperplane section of L through z, orthogonal to u). CI(L, z) coincides with I(L, z) if and only
Meyer, Mathieu, Reisner, Shlomo
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Extension of M-Convexity and L-Convexity to Polyhedral Convex Functions
Advances in Applied Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazuo Murota, Akiyoshi Shioura
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Equivalence of Informations Characterizes Bregman Divergences
EntropyBregman divergences form a class of distance-like comparison functions which plays fundamental roles in optimization, statistics, and information theory.
Philip S. Chodrow
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Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy
FEBS Letters, EarlyView.The increasing prevalence of viral diseases represents a major threat for global human health. Nanobodies, small binding fragments derived from camelid heavy‐chain antibodies, offer versatile tools for viral research, diagnostics, and antiviral therapy.
Domenic Ebert, Ulrich Rothbauer
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Journal of MathematicsThis paper explores a new class of convexity, namely, strongly n-polynomial exponential-type s-convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification
Khuram Ali Khan +3 more
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Typical Convex Sets of Convex Sets [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987 There exists a natural notion of convexity in the space of all compact convex sets in D. Thus, we may consider the space of all bounded closed convex families of compact convex sets. We present here a strange generic extremal behaviour of the elements of this space.
Schwarz, T., Zamfirescu, T.
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