Results 31 to 40 of about 55,229 (315)
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 ...
openaire +3 more sources
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
openaire +4 more sources
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
doaj +1 more source
The Best Bounds in Gautschi-Kershaw Inequalities [PDF]
, 2005 By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and ...
Qi, Feng +5 more
core +1 more source
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
doaj +1 more source
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
openaire +2 more sources
Clinical Validation of Plasma p‐217tau in Neurological Diseases
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi +13 more
wiley +1 more source
Convexity of Bẻzier nets on sub-triangles [PDF]
, 1990 This note generalizes a result of Goodman[3], where it is shown that the convexity of Bèzier nets defined on a base triangle is preserved on sub-triangles obtained from a mid-point subdivision process.
Gregory, JA, Zhou, J
core
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
doaj +1 more source
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 ...
openaire +4 more sources