Cauchy's test

Cauchy's test

Cauchy's test may refer to:

* Cauchy's root test
* Cauchy's condensation test
* the integral test for convergence, sometimes known as the "Maclaurin-Cauchy test"

These topics are named after Augustin Louis Cauchy, a French mathematician.

disambig


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Cauchy condensation test — In mathematics, the Cauchy condensation test is a standard convergence test for infinite series. For a positive monotone decreasing sequence f ( n ), the sum :sum {n=1}^{infty}f(n) converges if and only if the sum :sum {n=0}^{infty} 2^{n}f(2^{n}) …   Wikipedia

  • Cauchy's convergence test — The Cauchy convergence test is a method used to test infinite series for convergence. A series:sum {i=0}^infty a iis convergent if and only if for every varepsilon>0 there is a number N inmathbb{N} such that:|a {n+1}+a {n+2}+cdots+a {n+p}|0 there …   Wikipedia

  • Test de divergencia — En matemáticas, el test de divergencia del término n ésimo o test del término[1] es un test simple para evaluar la divergencia de una serie infinita: Si , entonces diverge. Este test por lo general no posee nombre específico que lo identifique.[2 …   Wikipedia Español

  • Cauchy distribution — Not to be confused with Lorenz curve. Cauchy–Lorentz Probability density function The purple curve is the standard Cauchy distribution Cumulative distribution function …   Wikipedia

  • Test de normalité — En statistiques, les tests de normalité permettent de vérifier si des données réelles suivent une loi normale ou non. Les tests de normalité sont des cas particuliers des tests d adéquation (ou tests d ajustement, tests permettant de comparer des …   Wikipédia en Français

  • Test de Student — Loi de Student Loi de Student Densité de probabilité / Fonction de masse Fonction de répartition …   Wikipédia en Français

  • Root test — In mathematics, the root test is a criterion for the convergence (a convergence test) of an infinite series:sum {n=1}^infty a n.It is particularly useful in connection with power series. The testThe root test was developed first by Cauchy and so… …   Wikipedia

  • Augustin Louis Cauchy — Infobox Scientist name = Augustin Louis Cauchy image width = 200px caption = Augustin Louis Cauchy birth date = birth date|1789|8|21|df=y birth place = Paris, France death date = death date and age|1857|5|23|1789|8|21|df=y death place = Sceaux,… …   Wikipedia

  • Term test — In mathematics, the nth term test for divergence[1] is a simple test for the divergence of an infinite series: If or if the limit does not exist, then diverges. Many authors do not name this test or give it a shorter name.[2] Cont …   Wikipedia

  • Integral test for convergence — In mathematics, the integral test for convergence is a method used to test infinite series of non negative terms for convergence. An early form of the test of convergence was developed in India by Madhava in the 14th century, and by his followers …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”