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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...

Co je dobrá matematika?

Terrence Tao (2008)

Pokroky matematiky, fyziky a astronomie

Článek přináší některé mé osobní myšlenky a názory na to, co je dobrá matematika, a zda bychom se měli snažit definovat tento pojem přesněji. Jako příklad je uveden příběh Szemerédiovy věty.

Computing upper bounds on Friedrichs’ constant

Vejchodský, Tomáš (2012)

Applications of Mathematics 2012

This contribution shows how to compute upper bounds of the optimal constant in Friedrichs’ and similar inequalities. The approach is based on the method of a p r i o r i - a p o s t e r i o r i i n e q u a l i t i e s [9]. However, this method requires trial and test functions with continuous second derivatives. We show how to avoid this requirement and how to compute the bounds on Friedrichs’ constant using standard finite element methods. This approach is quite general and allows variable coefficients and mixed boundary conditions. We use the computed...

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