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In ], he introduced the concept of ], and was one of the founders of ]. He also coined the term ]. He was a student of ] at ]. | In ], he introduced the concept of ], and was one of the founders of ]. He also coined the term ]. He was a student of ] at ]. | ||
The Fréchet Distance is a metric function upon an infinite ] of ] <X<sub>1</sub>,d<sub>1</sub>>,<X<sub>2</sub>,d<sub>2</sub>>..., defined by: | |||
<math>d(x,y)=\sum\frac{1}{2^n}\frac{d_{n}(x_{n},y_{n})}{1+d_{n}(x_{n},y_{n})}</math> | |||
==See also== | ==See also== |
Revision as of 15:48, 13 December 2006
Maurice Fréchet (September 2, 1878 – June 4, 1973) was a French mathematician.
In 1906, he introduced the concept of metric space, and was one of the founders of functional analysis. He also coined the term compact space. He was a student of Jacques Hadamard at École Normale Supérieure.
The Fréchet Distance is a metric function upon an infinite cartesian product of metric spaces <X1,d1>,<X2,d2>..., defined by:
See also
References
- O'Connor, John J.; Robertson, Edmund F., "René Maurice Fréchet", MacTutor History of Mathematics Archive, University of St Andrews
- René Maurice Fréchet at the Mathematics Genealogy Project
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