Mathematical Battle - Ground Decisions

Mathematical modelling of a mediaeval battle: the Battle of Agincourt, 1415

Recent developments in our ability to model mathematically the motion of crowds have led to some rather unusual applications. Here a continuum theory is used to model the Battle of Agincourt, a mediaeval battle between an English army on the one side and a combined French and Burgundian army on the other. The calculation reported here predicts that an instability of the front between the opposi...

Mathematical Analysis of the Behavior of Soft Ground Against Tunnelling

Mathematical Analysis of the Behavior of Soft Ground Against Tunnelling

mathematical analysis of the behavior of soft ground against tunnelling

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Institute for Mathematical Physics Bayesian Decisions and Fuzzy Logic Bayesian Decisions and Fuzzy Logic

This paper develops a category-theoretic approach to uncertainty and decision-making problems. It is based on appropriate rst order fuzzy logic in which not only logical connectives but also quantiiers have fuzzy interpretation. It is shown that all fundamental concepts of probability and statistics such as joint distribution, conditional distribution, etc., have meaningful analogs in new conte...