Results 21 to 30 of about 12,123 (304)

Uniqueness and Optimality of Dynamical Extensions of Divergences

PRX Quantum, 2021
We introduce an axiomatic approach for channel divergences and channel relative entropies that is based on three information-theoretic axioms of monotonicity under superchannels, i.e., generalized data processing inequality, additivity under tensor ...
Gilad Gour
doaj   +1 more source

The product of r−k and ∇δ on ℝm

International Journal of Mathematics and Mathematical Sciences, 2000
In the theory of distributions, there is a general lack of definitions for products and powers of distributions. In physics (Gasiorowicz (1967), page 141), one finds the need to evaluate δ2 when calculating the transition rates of certain particle ...
C. K. Li
doaj   +1 more source

Perturbative description of the fermionic projector: normalization, causality and Furry’s theorem [PDF]

, 2014
The causal perturbation expansion of the fermionic projector is per- formed with a contour integral method. Different normalization conditions are analyzed.
Tolksdorf, Jürgen, Jürgen Tolksdorf, Felix Finster, Finster, Felix   +3 more
core   +1 more source

Unified Sequent Calculi and Natural Deduction Systems for Until-free Linear-time Temporal Logics

Bulletin of the Section of Logic
A unified Gentzen-style proof-theoretic framework for until-free propositional linear-time temporal logic and its intuitionistic variant is introduced.
Norihiro Kamide, Sara Negri
doaj   +1 more source

Cut-elimination and Normalization Theorems for Connexive Logics over Wansing’s C

Bulletin of the Section of Logic
Gentzen-style sequent calculi and Gentzen-style natural deduction systems are introduced for a family (C-family) of connexive logics over Wansing’s basic constructive connexive logic C.
Norihiro Kamide
doaj   +1 more source

Contigious hyperquadrics of coequipped hyperbands

Дифференциальная геометрия многообразий фигур, 2019
We consider hyperquadrics that are internally connected to coe­quipped hyperbands in the projective space. Specifically, a hyperquadric tangent to a hyperplane at the point is called a contiguous hyper­quadric of a hyperband if it has a second-order ...
Yu. Popov
doaj   +1 more source

Generalizations of the normal basis theorem

MATHEMATICA SCANDINAVICA, 2004
We give several generalizations of the normal basis and primitive element theorems for a finite Galois field extension, with an infinite base field. These generalizations are obtained by considering polynomial expressions of conjugates of a fixed element.
Björkholdt, Elise, Lundström, Patrik
openaire   +2 more sources

An extension theorem for normal functions [PDF]

Proceedings of the American Mathematical Society, 1988
Given a domain Ω ⊂
openaire   +1 more source

Successive Standardization of Rectangular Arrays

Algorithms, 2012
In this note we illustrate and develop further with mathematics and examples, the work on successive standardization (or normalization) that is studied earlier by the same authors in [1] and [2].
Richard A. Olshen, Bala Rajaratnam
doaj   +1 more source

Integrals of subharmonic functions and their differences with weight over small sets on a ray

Математичні Студії, 2020
Let $E$ be a measurable subset in a segment $[0,r]$ in the positive part of the real axis in the complex plane, and $U=u-v$ be the difference of subharmonic functions $u\not\equiv -\infty$ and $v\not\equiv -\infty$ on the complex plane.
B.N. Khabibullin
doaj   +1 more source