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Displaying 461 – 480 of 1552

Free loop spaces and cyclohedra

Markl, Martin (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

It is well-known that a based space is of the weak homotopy type of a loop space iff it is a grouplike algebra over an $A_{\infty}$ -operad. The classical model for such an operad consists of Stasheff’s associahedra. The present paper describes a similar recognition principle for free loop spaces. Let $𝒫$ be an operad, $M$ a $𝒫$ -module and $U$ a $𝒫$ -algebra. An $M$ -trace over $U$ consists of a space $V$ and a module homomorphism $T : M \to {End}_{U, V}$ over the operad homomorphism $𝒫 \to {End}_{U}$ given by the algebra structure on $U$ . Let $𝒞_{1}$ be the little 1-cubes...

Free vibrations for the equation $u_{t t} - u_{x x} + f (u) = 0$ with $f$ sublinear

Lovicar, Vladimír (1982)

Equadiff 5

From astrology to topology via Feynman diagrams and Lie algebras

Bar-Natan, Dror (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Summary of the three lectures. These notes are available electronically at http://www.ma.huji.ac.il/~drorbn/Talks/Srni-9901/notes.html.

From binary cube triangulations to acute binary simplices

Brandts, Jan, van den Hooff, Jelle, Kuiper, Carlo, Steenkamp, Rik (2012)

Applications of Mathematics 2012

Cottle’s proof that the minimal number of $0 / 1$ -simplices needed to triangulate the unit $4$ -cube equals $16$ uses a modest amount of computer generated results. In this paper we remove the need for computer aid, using some lemmas that may be useful also in a broader context. One of the $0 / 1$ -simplices involved, the so-called antipodal simplex, has acute dihedral angles. We continue with the study of such acute binary simplices and point out their possible relation to the Hadamard determinant problem.

From Pixels and Minds to the Mathematical Knowledge in a Digital Library

Sojka, Petr, Rákosník, Jiří (2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

Experience in setting up a workflow from scanned images of mathematical papers into a fully fledged mathematical library is described on the example of the project Czech Digital Mathematics Library DML-CZ. An overview of the whole process is given, with description of all main production steps. DML-CZ has recently been launched to public with more than 100,000 digitized pages.

From the Fermi-Walker to the Cartan connection

Lafuente, Javier, Salvador, Beatriz (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Let $M$ be a $C^{\infty}$ -manifold with a Riemannian conformal structure $C$ . Given a regular curve $γ$ on $M$ , the authors define a linear operator on the space of (differentiable) vector fields along $γ$ , only depending on $C$ , called the Fermi-Walker connection along $γ$ . Then, the authors introduce the concept of Fermi-Walker parallel vector field along $γ$ , proving that such vector fields set up a linear space isomorphic to the tangent space at a point of $γ$ . This allows to consider the Fermi-Walker horizontal lift of...

From the report of the organizing committee

(1962)

General Topology and its Relations to Modern Analysis and Algebra

From the report of the organizing committee

(1967)

General Topology and its Relations to Modern Analysis and Algebra

Front Matter

(2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

Front Matter

(2009)

Towards a Digital Mathematics Library. Grand Bend, Ontario, Canada, July 8-9th, 2009

Fully nonlinear elliptic equations and applications

Lions, Pierre-Louis (1982)

Nonlinear Analysis, Function Spaces and Applications

Functional movements in dendritic structures

Whyburn, G. T. (1971)

General Topology and Its Relations to Modern Analysis and Algebra

Functionals depending on curvatures and surfaces with curvature measures

Anzellotti, G. (1990)

Equadiff 7

Functions of least gradient and BV functions

Ziemer, William P. (1999)

Nonlinear Analysis, Function Spaces and Applications

Further remarks on extended umbral calculus

Kwaśniewski, A. K., Grądzka, E. (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

The paper deals with extensions of the finite operator calculus of G.-C. Rota called $ψ$ -extensions which give a framework for corresponding quantum group investigations. This also covers the instance of the well-known $q$ -analogue of umbral calculus. The article also contains glossaries of the most important terms and notations used by Ward, Viskov, Markowsky and Roman on one side and the Rota-oriented notations on the other side.

Fuzzy sets and small systems

Považan, Jaroslav, Riečan, Beloslav (2013)

Applications of Mathematics 2013

Independently with [7] a corresponding fuzzy approach has been developed in [3-5] with applications in measure theory. One of the results the Egoroff theorem has been proved in an abstract form. In [1] a necessary and sufficient condition for holding the Egoroff theorem was presented in the case of a space with a monotone measure. By the help of [2] and [6] we prove a variant of the Egoroff theorem stated in [4].

Galerkin-finite element solution of nonlinear evolution problems

Zlámal, Miloš (1982)

Equadiff 5

Game-theoretical approach to some modifications of generalized topologies

Hanák, J. (1972)

General Topology and its Relations to Modern Analysis and Algebra

Gamma-function and Gaussian-sum-function

Helversen-Pasotto, A. (1993)

Proceedings of the Winter School "Geometry and Physics"

After some remarks about the analogy between the classical gamma-function and Gaussian sums over finite fields a complete, very short explicit proof is given of an identity expressing a certain sum of products of Gaussian sums as a product of Gaussian sums. This identity is an analogue of the classical Barnes’ first lemma for the gamma-function. Four multiplicative characters of a finite field are concerned; the usually necessary restrictions on the triviality of certain products of these characters...

Gauge-natural field theories and Noether theorems: canonical covariant conserved currents

Palese, Marcella, Winterroth, Ekkehart (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

Summary: We specialize in a new way the second Noether theorem for gauge-natural field theories by relating it to the Jacobi morphism and show that it plays a fundamental role in the derivation of canonical covariant conserved quantities. In particular we show that Bergmann-Bianchi identities for such theories hold true covariantly and canonically only along solutions of generalized gauge-natural Jacobi equations. Vice versa, all vertical parts of gauge-natural lifts of infinitesimal principal automorphisms...

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