Cauchy - ορισμός. Τι είναι το Cauchy
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Τι (ποιος) είναι Cauchy - ορισμός

FRENCH MATHEMATICIAN (1789–1857)
Augustin Cauchy; Cauchy; Augustin Louis, Baron Cauchy; A. L. Cauchy; Augustin-Louis, Baron Cauchy; Cauchy, Augustin Louis; A. L. de Cauchy; Augustin Louis Baron Cauchy; Augustin louis cauchy; Baron Augustin-Louis Cauchy; Augustin Louis Cauchy; Augustine Louis Cauchy
  • Cauchy in later life
  • ''Leçons sur le calcul différentiel'', 1829

Augustin-Louis Cauchy         

Baron Augustin-Louis Cauchy (, koh-SHEE; French: [oɡystɛ̃ lwi koʃi]; 21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist who made pioneering contributions to several branches of mathematics, including mathematical analysis and continuum mechanics. He was one of the first to state and rigorously prove theorems of calculus, rejecting the heuristic principle of the generality of algebra of earlier authors. He almost singlehandedly founded complex analysis and the study of permutation groups in abstract algebra.

A profound mathematician, Cauchy had a great influence over his contemporaries and successors; Hans Freudenthal stated: "More concepts and theorems have been named for Cauchy than for any other mathematician (in elasticity alone there are sixteen concepts and theorems named for Cauchy)." Cauchy was a prolific writer; he wrote approximately eight hundred research articles and five complete textbooks on a variety of topics in the fields of mathematics and mathematical physics.

Cauchy distribution         
  • date=2018-02-21}}</ref>
  • Fitted cumulative Cauchy distribution to maximum one-day rainfalls using [[CumFreq]], see also [[distribution fitting]]<ref name=cumfreq/>
  • Estimating the mean and standard deviation through samples from a Cauchy distribution (bottom) does not converge with more samples, as in the [[normal distribution]] (top). There can be arbitrarily large jumps in the estimates, as seen in the graphs on the bottom. (Click to expand)
  • Observed histogram and best fitting normal density function.<ref name=cumfreq/>
PROBABILITY DISTRIBUTION
Lorentz distribution; Lorentzian function; Cauchy-Lorentz distribution; Lorentzian lineshape; Lorentzian Lineshape; Cauchy Distribution; Lorentzian distribution; Cauchy Random Variable; Cauchy noise; Lorentzian profile; Lorentz profile; Lorentzian Function; Cauchy–Lorentz distribution; Multivariate Cauchy distribution; Lorentz function; Lorenz distribution; Cauchy random variable
The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution. It is also known, especially among physicists, as the Lorentz distribution (after Hendrik Lorentz), Cauchy–Lorentz distribution, Lorentz(ian) function, or Breit–Wigner distribution.
Cauchy–Kowalevski theorem         
LOCAL EXISTENCE AND UNIQUENESS THEOREM FOR ANALYTIC PARTIAL DIFFERENTIAL EQUATIONS ASSOCIATED WITH CAUCHY INITIAL VALUE PROBLEMS
Cauchy-Kovalevsky theorem; Cauchy-Kowalewski Theorem; Cauchy-Kowalewski theorem; Cauchy-Kovalevskaya theorem; Cauchy-Kowalevsky theorem; Cauchy-Kovalevski theorem; Cauchy-Kowalevski theorem; Cauchy-Kowalevski Theorem; Cauchy–Kovalevskaya theorem
In mathematics, the Cauchy–Kovalevskaya theorem (also written as the Cauchy–Kowalevski theorem) is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proven by , and the full result by .

Βικιπαίδεια

Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy (, koh-SHEE; French: [oɡystɛ̃ lwi koʃi]; 21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist who made pioneering contributions to several branches of mathematics, including mathematical analysis and continuum mechanics. He was one of the first to state and rigorously prove theorems of calculus, rejecting the heuristic principle of the generality of algebra of earlier authors. He almost singlehandedly founded complex analysis and the study of permutation groups in abstract algebra.

A profound mathematician, Cauchy had a great influence over his contemporaries and successors; Hans Freudenthal stated: "More concepts and theorems have been named for Cauchy than for any other mathematician (in elasticity alone there are sixteen concepts and theorems named for Cauchy)." Cauchy was a prolific writer; he wrote approximately eight hundred research articles and five complete textbooks on a variety of topics in the fields of mathematics and mathematical physics.