Definition of Aperies. Meaning of Aperies. Synonyms of Aperies

Here you will find one or more explanations in English for the word Aperies. Also in the bottom left of the page several parts of wikipedia pages related to the word Aperies and, of course, Aperies synonyms and on the right images related to the word Aperies.

Definition of Aperies

Aperies
Apery Ap"er*y, n.; pl. Aperies. 1. A place where apes are kept. [R.] --Kingsley. 2. The practice of aping; an apish action. --Coleridge.

Meaning of Aperies from wikipedia

- In mathematics, Apéry's constant is the sum of the reciprocals of the positive cubes. That is, it is defined as the number ζ(3)=∑n=1∞1n3=limn→∞(113+123+⋯+1n3)...
- In mathematics, Apéry's theorem is a result in number theory that states the Apéry's constant ζ(3) is irrational. That is, the number ζ(3)=∑n=1∞1n3=113+123+133+⋯=1...
- Roger Apéry (French: [apeʁi]; 14 November 1916, Rouen – 18 December 1994, Caen) was a French mathematician most remembered for Apéry's theorem, which states...
- fundamental way of the solving process. An extreme example is Apery's theorem: Roger Apery provided only the ideas for a proof, and the formal proof was...
- salutis meae: et exsultabit lingua mea justitiam tuam. Domine, labia mea aperies: et os meum annuntiabit laudem tuam. Quoniam si voluisses sacrificium,...
- The verse Domine, labia mea aperies et os meum annuntiabit laudem tuam is sung at the opening of the first canonical hour of the day...
- approximately 2.5029. The numeric value of δ is approximately 4.6692. Apery's constant is the sum of the series ζ(3)=1+123+133+143+⋯{\displaystyle \zeta...
- it is also a magic number for the diamond cubic. It is also the fourth Apéry number a3{\displaystyle a_{3}} following 19, where an=∑k=0n(nk)2(n+kk),{\displaystyle...
- Γ(12)=π;{\displaystyle \Gamma ({\tfrac {1}{2}})={\sqrt {\pi }};} while inside Apéry's constant, which represents the sum of the reciprocals of all positive cubes...
- Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005259 (Apery (Apéry) numbers: Sum_0^n (binomial(n,k)*binomial(n+k,k))^2)". The On-Line Encyclopedia...