Zobrazeno 1 - 10
of 17 855
pro vyhledávání: '"Legendre transform"'
Autor:
He, Tingting, Si, Lin
The goal of this paper is to study convex lattice sets by the discrete Legendre transform. The definition of the polar of convex lattice sets in $\mathbb{Z}^n$ is provided. It is worth mentioning that the polar of convex lattice sets have the self-du
Externí odkaz:
http://arxiv.org/abs/2405.18104
Autor:
He, Tingting1 (AUTHOR) hetingting1114@bjfu.edu.cn, Yue, Ruifeng1 (AUTHOR) ruifengyue@bjfu.edu.cn, Si, Lin1 (AUTHOR) ruifengyue@bjfu.edu.cn
Publikováno v:
Mathematics (2227-7390). Jun2024, Vol. 12 Issue 11, p1773. 13p.
Autor:
Johal, Ramandeep S.
Legendre transform between thermodynamic quantities such as the Helmholtz free energy and entropy plays a key role in the formulation of the canonical ensemble. The transform helps to exchange the independent variable from the system's internal energ
Externí odkaz:
http://arxiv.org/abs/2312.13762
Autor:
Bedrouni, Samir
A holomorphic pre-foliation $\mathscr{F}=\ell\boxtimes\mathcal{F}$ of co-degree $1$ and degree $d$ on $\mathbb{P}^{2}_{\mathbb{C}}$ is the data of a line $\ell$ of $\mathbb{P}^{2}_{\mathbb{C}}$ and a holomorphic foliation $\mathcal{F}$ on $\mathbb{P
Externí odkaz:
http://arxiv.org/abs/2309.12837
Autor:
Li, Jin
We first prove that the Legendre transform is the only continuous and $\mathrm{SL}(n)$ contravariant valuation that behaves as a conjugation of two important translations on super-coercive, lower semi-continuous, and convex functions. Then we turn to
Externí odkaz:
http://arxiv.org/abs/2308.07022
This work presents a novel algorithm for transforming a neural network into a spline representation. Unlike previous work that required convex and piecewise-affine network operators to create a max-affine spline alternate form, this work relaxes this
Externí odkaz:
http://arxiv.org/abs/2307.09602
Autor:
Kurkina, M. V.1 (AUTHOR) mavi@inbox.ru, Rodionov, E. D.2 (AUTHOR), Semenov, S. P.1 (AUTHOR), Slavsky, V. V.1 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Dec2023, Vol. 277 Issue 5, p760-769. 10p.
Akademický článek
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We elucidate the relation between smooth Calabi-Yau structures and pre-Calabi-Yau structures. We show that, from a smooth Calabi-Yau structure on an $A_\infty$-category $A$, one can produce a pre-Calabi-Yau structure on $A$; as defined in our previou
Externí odkaz:
http://arxiv.org/abs/2301.01567
The Legendre transform-dual-asymptotic solution for optimal investment strategy with random incomes.
Autor:
Liu, Jinyang1 (AUTHOR), Li, Sheng2 (AUTHOR), He, Yong3 (AUTHOR) heyongmath@163.com, Tian, Boping1 (AUTHOR), Deng, Li4 (AUTHOR)
Publikováno v:
Communications in Statistics: Theory & Methods. 2024, Vol. 53 Issue 23, p8329-8347. 19p.