Results 1 to 10 of about 12,501,815 (346)
Gateaux Differentiability of Convex Functions and Weak Dentable Set in Nonseparable Banach Spaces
Journal of Function Spaces, 2019 In this paper, we prove that if C⁎⁎ is a ε-separable bounded subset of X⁎⁎, then every convex function g≤σC is Ga^teaux differentiable at a dense Gδ subset G of X⁎ if and only if every subset of ∂σC(0)∩X is weakly dentable.
Shaoqiang Shang, Yunan Cui
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European Physical Journal C: Particles and Fields, 2022 We present the novel implementation of a non-differentiable metric approximation and a corresponding loss-scheduling aimed at the search for new particles of unknown mass in high energy physics experiments.
F. Abudinén +45 more
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Differential Equations of General Genus Hyperelliptic $\wp$ Functions [PDF]
arXiv, 2023 We review the Baker's method to obtain differential equations of the general genus hyperelliptic $\wp$ functions. Further, we demonstrate to obtain differential equations of genus four hyperelliptic differential equations, which agree with our previous result.
arxiv
Characteristics of the Kelch domain containing (KLHDC) subfamily and relationships with diseases
FEBS Letters, EarlyView.The Kelch protein superfamily includes 63 members, with the KLHDC subfamily having 10 proteins. While their functions are not fully understood, recent advances in KLHDC2's structure and role in protein degradation have highlighted its potential for drug development, especially in PROTAC therapies.
Courtney Pilcher +6 more
wiley +1 more source
A general cubic spline smooth semi-supervised support vector machine
工程科学学报, 2015 This article is focused on the non-smooth problem of the semi-supervised support vector machine optimization model. A smooth semi-supervised support vector machine model was established. A general cubic spline function with 2 times differentiable at zero
ZHANG Xiao-dan, MA Jing-gai
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On the total curvatures of a tame function
, 2008 Given a definable function f, enough differentiable, we study the continuity of the total curvature function t --> K(t), total curvature of the level {f=t}, and the total absolute curvature function t-->|K| (t), total absolute curvature of the level {f=t}
A. Bernig +11 more
core +1 more source
The determination of the Chebyshev approximating polynomial for a differentiable function
, 1959 If f(x) is continuous over any interval, which we may take, without loss of generality, to be the interval — 1 ^ x á 1, there exists a unique polynomial Pn*(x), of given maximum degree n, which is such that the maximum of | f(x) — Pn*(x) \ over —1 á x ...
F. Murnaghan, Jr J. W. Wrench
semanticscholar +1 more source
FEBS Letters, EarlyView.This study explores the distinct molecular mechanisms underlying Lynch syndrome‐associated and sporadic colorectal cancer (CRC). By highlighting the therapeutic potential of targeting the PI3K‐Akt pathway in Lynch syndrome‐associated CRC and the Wnt pathway in sporadic CRC, the findings open avenues for personalised treatment strategies, aiming to ...
May J. Krause +2 more
wiley +1 more source
Immunoregulatory mechanisms of the arachidonic acid pathway in cancer
FEBS Letters, EarlyView.The central role of the arachidonic acid (AA) pathway in anticancer immunity. Enzymes and metabolites of the AA pathway can play both immunosuppressive and immunostimulatory roles in the tumor microenvironment. Therefore, their tailored targeting could be beneficial as a standalone therapy or in combination with current cancer immunotherapy.
Maria Tredicine +3 more
wiley +1 more source
Exponential Functions in Cartesian Differential Categories [PDF]
arXiv, 2019 In this paper, we introduce differential exponential maps in Cartesian differential categories, which generalizes the exponential function $e^x$ from classical differential calculus. A differential exponential map is an endomorphism which is compatible with the differential combinator in such a way that generalizations of $e^0 = 1$, $e^{x+y} = e^x e^y$,
arxiv