Μετάφραση και ανάλυση λέξεων από την τεχνητή νοημοσύνη ChatGPT
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Τι (ποιος) είναι Cauchy - ορισμός
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.
![Fitted cumulative Cauchy distribution to maximum one-day rainfalls using [[CumFreq]], see also [[distribution fitting]]<ref name=cumfreq/>](https://commons.wikimedia.org/wiki/Special:FilePath/Cauchy distribution.png?width=200 "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)](https://commons.wikimedia.org/wiki/Special:FilePath/Mean estimator consistency.gif?width=200 "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)")
Βικιπαίδεια
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.
