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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),...

Change-Point problems: approaches and applications.

Adrian F. M. Smith (1980)

Trabajos de Estadística e Investigación Operativa

Problems of making inferences about abrupt changes in the mechanism underlying a sequence of observations are considered in both retrospective and on-line contexts. Among the topics considered are the Lindisfarne scribes problem; switching straight lines; manoeuvering targets, and shifts of level or slope in linear time series models. Summary analyses of data obtained in studies of schizophrenic and kidney transplant patients are presented.

Characteristic classes for A -bundles

Cap, Andreas, Schichl, Hermann (1996)

Proceedings of the Winter School "Geometry and Physics"

The authors generalize a construction of Connes by defining for an A -bundle E over smooth manifold X and a reduced cyclic cohomology class c a sequence of de Rham cohomology classes c h c k ( E ) . Here A is a convenient algebra, defined by the authors, and E is a locally trivial bundle with standard fibre a right finitely generated projective A -module and bounded A -modules homomorphisms as transition functions.

Characteristic classes of regular Lie algebroids – a sketch

Kubarski, Jan (1993)

Proceedings of the Winter School "Geometry and Physics"

The discourse begins with a definition of a Lie algebroid which is a vector bundle p : A M over a manifold with an R -Lie algebra structure on the smooth section module and a bundle morphism γ : A T M which induces a Lie algebra morphism on the smooth section modules. If γ has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by K. Mackenzie [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal...

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