README.md (2337B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2018 The Stdlib Authors. 6 7 Licensed under the Apache License, Version 2.0 (the "License"); 8 you may not use this file except in compliance with the License. 9 You may obtain a copy of the License at 10 11 http://www.apache.org/licenses/LICENSE-2.0 12 13 Unless required by applicable law or agreed to in writing, software 14 distributed under the License is distributed on an "AS IS" BASIS, 15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 16 See the License for the specific language governing permissions and 17 limitations under the License. 18 19 --> 20 21 # Apéry's Constant 22 23 > [Apéry's constant][apery-constant]. 24 25 <section class="intro"> 26 27 [Apéry's constant][apery-constant] is defined as 28 29 <!-- <equation class="equation" label="eq:apery_constant" align="center" raw="\zeta(3) = \sum_{n=1}^\infty \frac{1}{n^3} = \lim_{n\to\infty} \biggl(\frac{1}{1^3} + \frac{1}{2^3} + \cdots + \frac{1}{n^3}\biggr)" alt="Apéry's constant"> --> 30 31 <div class="equation" align="center" data-raw-text="\zeta(3) = \sum_{n=1}^\infty \frac{1}{n^3} = \lim_{n\to\infty} \biggl(\frac{1}{1^3} + \frac{1}{2^3} + \cdots + \frac{1}{n^3}\biggr)" data-equation="eq:apery_constant"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5d87cc7cb2c58aeb732872f89562d2c89571cc8a/lib/node_modules/@stdlib/constants/float64/apery/docs/img/equation_apery_constant.svg" alt="Apéry's constant"> 33 <br> 34 </div> 35 36 <!-- </equation> --> 37 38 where `ζ(s)` is the [Riemann zeta function][@stdlib/math/base/special/riemann-zeta] 39 40 </section> 41 42 <!-- /.intro --> 43 44 <section class="usage"> 45 46 ## Usage 47 48 ```javascript 49 var APERY = require( '@stdlib/constants/float64/apery' ); 50 ``` 51 52 #### APERY 53 54 [Apéry's constant][apery-constant]. 55 56 ```javascript 57 var bool = ( APERY === 1.2020569031595942 ); 58 // returns true 59 ``` 60 61 </section> 62 63 <!-- /.usage --> 64 65 <section class="examples"> 66 67 ## Examples 68 69 <!-- TODO: better example --> 70 71 <!-- eslint no-undef: "error" --> 72 73 ```javascript 74 var APERY = require( '@stdlib/constants/float64/apery' ); 75 76 console.log( APERY ); 77 // => 1.2020569031595942 78 ``` 79 80 </section> 81 82 <!-- /.examples --> 83 84 <section class="links"> 85 86 [apery-constant]: https://en.wikipedia.org/wiki/Ap%C3%A9ry%27s_constant 87 88 [@stdlib/math/base/special/riemann-zeta]: https://www.npmjs.com/package/@stdlib/math-base-special-riemann-zeta 89 90 </section> 91 92 <!-- /.links -->