Rene Maurice Frechet was a French mathematician, born on 2 September 1878 and died on 4 June 1973. He made major contributions to general topology and was the first to define metric spaces. He also made several important contributions to statistics and probability, as well as to calculus. His dissertation opened the entire field of functionals on metric spaces and introduced the notion of compactness. Independently of Riesz he discovered the representation theorem in the space of Lebesgue square integrable functions, and he is often called the founder of the theory of abstract spaces.
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René Fréchet
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Source Compact Space (Wikipedia)
Source Fréchet Derivative (Wikipedia)
Source Weibull distribution (Wikipedia)
In Branch
Source René Maurice Fréchet (Wikipedia)
Source René Maurice Fréchet (Wikipedia)
Mentored By
Source René Maurice Fréchet (Wikipedia)
Proofs Credited
Source Cramer-Rao inequality (bound), Wikipedia
Source Cramer-Rao inequality (bound), Wikipedia
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Source René Maurice Fréchet (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was a French mathematician
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1. René Maurice Fréchet (Wikipedia)
Lead paragraph
He made major contributions to general topology and was the fir
Lead paragraph [nationality-culture]
was a French mathematician
In Branch: Topology, Lead paragraph [in-branch]
general topology
In Branch: Probability and Statistics, Lead paragraph [in-branch 2]
statistics and probability
- Mentored By: Jacques Hadamard, Infobox, doctoral advisor or academic advisors
View the SourceCramer-Rao inequality (bound), Wikipedia
Proofs Credited: Cramer-Rao Inequality, Lead paragraph
of Harald Cramér and Calyampudi Radhakrishna Rao, but has also been derived independently by Maurice Fréchet, Georges Darmois, and by Alexander Aitken and Harold Silverstone. It is also known as Fréchet-Cramér-Rao or Fréchet-Darmois-Cramér-Rao
Proofs Credited: Cramer-Rao Bound, Lead paragraph
of Harald Cramér and Calyampudi Radhakrishna Rao, but has also been derived independently by Maurice Fréchet, Georges Darmois, and by Alexander Aitken and Harold Silverstone. It is also known as Fréchet-Cramér-Rao or Fréchet-Darmois-Cramér-Rao
View the SourceCompact Space (Wikipedia)
Wikimedia FoundationAttributed Works: Compact Space, LeadQuote, Attributed Works: Compact Space, Lead
Compactness was formally introduced by Maurice Fréchet in 1906 in work generalizing the Bolzano-Weierstrass theorem from sets of points to spaces of functions.
Fréchet Derivative (Wikipedia)
Attributed Works: Fréchet Derivative, LeadQuote, Attributed Works: Fréchet Derivative, Lead
Named after Maurice Fréchet, it is commonly used to generalize the derivative of a real-valued function of a single real variable to the case of a vector-valued function of multiple real variables, and to define the functional derivative used widely in the calculus of variations.
Weibull distribution (Wikipedia)
Attributed Works: Weibull Distribution, LeadQuote, Attributed Works: Weibull Distribution, Lead
The distribution is named after Swedish mathematician Waloddi Weibull, who described it in detail in 1939, although it was first identified by René Maurice Fréchet and first applied by Rosin & Rammler (1933) to describe a particle size distribution.
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