[PAR] [TLE] Cauchy condensation test [SEP] In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series.  For a non-negative, non-increasing sequence formula_1 of real numbers, the series formula_2 converges if and only if the "condensed" series formula_3 converges.  Moreover, if they converge, the sum of the condensed series is no more than twice as large as the sum of the original. [PAR] [TLE] Augustin-Louis Cauchy [SEP] Baron Augustin-Louis Cauchy FRS FRSE (] ; 21 August 1789 – 23 May 1857) was a French mathematician and physicist who made pioneering contributions to analysis.  He was one of the first to state and prove theorems of calculus rigorously, 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.  His writings range widely in mathematics and mathematical physics.
[PAR] [TLE] Cauchy condensation test [ SEP ] In mathematics , the Cauchy condensation test , named after Augustin - Louis Cauchy , is a standard convergence test for infinite series . For a non - negative , non - increasing sequence formula_1 of real numbers , the series formula_2 converges if and only if the " condensed " series formula_3 converges . Moreover , if they converge , the sum of the condensed series is no more than twice as large as the sum of the original . [PAR] [TLE] Augustin - Louis Cauchy [ SEP ] Baron Augustin - Louis Cauchy FRS FRSE ( ] ; 21 August 1789 – 23 May 1857 ) was a French mathematician and physicist who made pioneering contributions to analysis . He was one of the first to state and prove theorems of calculus rigorously , 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 . His writings range widely in mathematics and mathematical physics .
The standard convergence test for infinite series was named after a French mathematician and physicist who was born on what day?
The standard convergence test for infinite series was named after a French mathematician and physicist who was born on what day ?
21 August 1789
21 August 1789