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BRS-transformations in a finite dimensional setting

Kraus, Margareta (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

Summary: In order to get a mathematical understanding of the BRS-transformation and the Slavnov-Taylor identities, we treat them in a finite dimensional setting. We show that in this setting the BRS-transformation is a vector field on a certain supermanifold. The connection to the BRS-complex will be established. Finally we treat the generating functional and the Slavnov-Taylor identity in this setting.

Building the Czech Digital Mathematics Library upon DSpace system

Krejčíř, Vlastimil (2008)

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

The paper describes the process of building the Czech Digital Mathematics Library (DML-CZ) upon DSpace System. At first, the DML-CZ will be briefly introduced. Then we will describe DSpace system and its architecture together with Manakin — a system for building user interface above DSpace. The first technical part of the paper will be about mapping DML-CZ structure onto DSpace structures and about our importing tools and the way of managing requested features which are not supported by the default...

Carcassonne -- description of the game

Kárná, Lucie (2012)

Applications of Mathematics 2012

This article formalizes some aspects of the board game Carcassonne. Combinatorical problems related to the number of tile types are mentioned. Then the paper describes a game map using graph theory.

CEDRICS: When CEDRAM Meets Tralics

Bouche, Thierry (2008)

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

We describe CEDRICS, a general purpose system for automated journal production entirely based on a LaTeX input format. We show how the very basic ideas that initiated the whole effort turned into an efficient system because of the ability of LaTeX markup to parametrise simultaneously and without compromise high typographical quality for the PDF output as well as accurate XML metadata with (presentation) MathML formulas. This was made possible by the availability of two entirely independent LaTeX...

Cells of harmonicity

Kolář, Martin (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]We are interested in partial differential equations on domains in 𝒞 n . One of the most natural questions is that of analytic continuation of solutions and domains of holomorphy. Our aim is to describe the domains of holomorphy for solutions of the complex Laplace and Dirac equations. We call them cells of harmonicity. We deduce their properties mostly by examining geometrical properties of the characteristic surface (which is the same for both equations),...

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