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Sunday, February 24, 2013

A Mathematical Theory of Meetings

Aquí tenemos una modela matemática para una reunión por Hans Freudenthal:


A meeting is an ordered set \begin{aligned} consisting of a bounded part M of Euclidean space; a finite set P, that of the participants; two elements c and s of P called chairman and secretary; a finite set C_1, called the chairs; a finite set C_2, called the cups of coffee; an element b, called bell; an injection i_1 of P into C_1; a mapping i_2 of C_2 into P; an ordered set S, the speeches; a mapping i_3 of S into P with the property that c belongs to the image of i_3 \end{aligned} If i_3 is a surjection, it is usual to say that everybody has had the floor.
Encontré lo anterior mientras estaba leyendo el libro "The Mathematical Experience" y pensaba que está bastante  interesante compartir.

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