Results 31 to 40 of about 3,606 (203)

Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics [PDF]

open access: yes, 1998
The superposition principle is a very basic ingredient of quantum theory. What may come as a surprise to many students, and even to many practitioners of the quantum craft, is tha superposition has limitations imposed by certain requirements of the ...
A L Salas-Brito   +22 more
core   +2 more sources

On Convex Univalent Functions with Convex Univalent Derivatives

open access: yesRocky Mountain Journal of Mathematics, 2005
The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
openaire   +3 more sources

THE SCHWARZIAN DERIVATIVES OF HARMONIC FUNCTIONS AND UNIVALENCE CONDITIONS

open access: yesПроблемы анализа, 2017
In the paper we obtain some analogues of Nehari’s univalence conditions for sense-preserving functions that are harmonic in the unit disc D = {z ∈ C : |z| < 1}.
S. Yu. Graf
doaj   +1 more source

On the Theorem of Univalence on the Boundary

open access: yesAxioms
We give several generalizations of a known theorem from complex analysis, namely the univalence on the boundary theorem. Starting from a purely topological result (Theorems 1 and 11), we obtain univalence conditions for Sobolev mappings.
Mihai Cristea
doaj   +1 more source

Univalence for convolutions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent functions) and g∈C (close-to-convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S.
Herb Silverman
doaj   +1 more source

Categorical structures for type theory in univalent foundations [PDF]

open access: yesLogical Methods in Computer Science, 2018
In this paper, we analyze and compare three of the many algebraic structures that have been used for modeling dependent type theories: categories with families, split type-categories, and representable maps of presheaves. We study these in univalent type
Benedikt Ahrens   +2 more
doaj   +1 more source

Schwarzian Derivative Criteria for Valence of Analytic and Harmonic Mappings

open access: yes, 2007
For analytic functions in the unit disk, general bounds on the Schwarzian derivative in terms of Nehari functions are shown to imply uniform local univalence and in some cases finite and bounded valence.
Chuaqui, M., Duren, P., Osgood, B.
core   +4 more sources

Factor Price Equalization : Geometrical Conditions [PDF]

open access: yes, 1998
This paper presents a geometrical approach to the univalence problem for a system of cost functions. We present a natural (almost tautological) extension of a geometrical theorem due to McKenzie: our sufficient condition is related to the non ...
Fujimoto, Takao, Ranade, Ravindra R.
core   +1 more source

A uniform quantitative stiff stability estimate for BDF schemes [PDF]

open access: yesOpuscula Mathematica, 2006
The concepts of stability regions, \(A\)- and \(A(\alpha)\)-stability - albeit based on scalar models - turned out to be essential for the identification of implicit methods suitable for the integration of stiff ODEs.
Winfried Auzinger, Wolfgang Herfort
doaj  

Sufficient Conditions for Univalence of an Integral Operator

open access: yesJournal of Inequalities and Applications, 2008
In this paper we have introduced an integral general operator. For this general operator which is a generalization of more known integral operators we have demonstrated some univalence properties.
Breaz Daniel   +2 more
doaj   +2 more sources

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