time-to-botec

Benchmark sampling in different programming languages
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README.md (2793B)


      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 # Glaisher-Kinkelin Constant
     22 
     23 > [Glaisher-Kinkelin][glaisher-constant] constant.
     24 
     25 <section class="intro">
     26 
     27 [Glaisher-Kinkelin][glaisher-constant] constant is defined as
     28 
     29 <!-- <equation class="equation" label="eq:glaisher_kinkelin_constant" align="center" raw="A = \lim_{n\to\infty} \frac{K(n + 1)}{n^{n^2/2 + n/2 + 1/12}e^{-n^2/4}}" alt="Glaisher-Kinkelin constant"> -->
     30 
     31 <div class="equation" align="center" data-raw-text="A = \lim_{n\to\infty} \frac{K(n + 1)}{n^{n^2/2 + n/2 + 1/12}e^{-n^2/4}}" data-equation="eq:glaisher_kinkelin_constant">
     32     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5d87cc7cb2c58aeb732872f89562d2c89571cc8a/lib/node_modules/@stdlib/constants/float64/glaisher-kinkelin/docs/img/equation_glaisher_kinkelin_constant.svg" alt="Glaisher-Kinkelin constant">
     33     <br>
     34 </div>
     35 
     36 <!-- </equation> -->
     37 
     38 where
     39 
     40 <!-- <equation class="equation" label="eq:k_function" align="center" raw="K(n) = \prod_{k=1}^{n-1} k^k" alt="K-function"> -->
     41 
     42 <div class="equation" align="center" data-raw-text="K(n) = \prod_{k=1}^{n-1} k^k" data-equation="eq:k_function">
     43     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5d87cc7cb2c58aeb732872f89562d2c89571cc8a/lib/node_modules/@stdlib/constants/float64/glaisher-kinkelin/docs/img/equation_k_function.svg" alt="K-function">
     44     <br>
     45 </div>
     46 
     47 <!-- </equation> -->
     48 
     49 is the [K-function][k-function].
     50 
     51 </section>
     52 
     53 <!-- /.intro -->
     54 
     55 <section class="usage">
     56 
     57 ## Usage
     58 
     59 ```javascript
     60 var A = require( '@stdlib/constants/float64/glaisher-kinkelin' );
     61 ```
     62 
     63 #### A
     64 
     65 The [Glaisher-Kinkelin][glaisher-constant] constant.
     66 
     67 ```javascript
     68 var bool = ( A === 1.2824271291006226 );
     69 // returns true
     70 ```
     71 
     72 </section>
     73 
     74 <!-- /.usage -->
     75 
     76 <section class="examples">
     77 
     78 ## Examples
     79 
     80 <!-- TODO: better example -->
     81 
     82 <!-- eslint no-undef: "error" -->
     83 
     84 ```javascript
     85 var A = require( '@stdlib/constants/float64/glaisher-kinkelin' );
     86 
     87 console.log( 'Glaisher\'s constant: %d', A );
     88 // => 'Glaisher\'s constant: 1.2824271291006226'
     89 ```
     90 
     91 </section>
     92 
     93 <!-- /.examples -->
     94 
     95 <section class="links">
     96 
     97 [glaisher-constant]: https://en.wikipedia.org/wiki/Glaisher%E2%80%93Kinkelin_constant
     98 
     99 [k-function]: https://en.wikipedia.org/wiki/K-function
    100 
    101 </section>
    102 
    103 <!-- /.links -->