Difference between revisions of "Mathematical entropy"
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'''Mathematical entropy''' is a formulation of [[entropy]] for mathematical purposes, particularly in geometry. A definition of entropy by Perelman, for example, led to his solution of one of the greatest unsolved problems of the 20th century, the Poincare conjecture. | '''Mathematical entropy''' is a formulation of [[entropy]] for mathematical purposes, particularly in geometry. A definition of entropy by Perelman, for example, led to his solution of one of the greatest unsolved problems of the 20th century, the Poincare conjecture. | ||
Revision as of 08:17, December 22, 2009
It has been suggested that this article or section be merged with [[::Poincaré conjecture#Perelman's Proof|Poincaré conjecture#Perelman's Proof]]. (Discuss)
Mathematical entropy is a formulation of entropy for mathematical purposes, particularly in geometry. A definition of entropy by Perelman, for example, led to his solution of one of the greatest unsolved problems of the 20th century, the Poincare conjecture.
Perelman's formulation of entropy is useful in addressing issues in mechanical engineering, and in particular the linear heat equation.[1]
A related concept is the "Nash entropy."