89 lines
2.2 KiB
Markdown
89 lines
2.2 KiB
Markdown
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Euler-Mascheroni Constant
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> The [Euler-Mascheroni][eulergamma] constant.
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<section class="intro">
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The [Euler-Mascheroni][eulergamma] constant `gamma` (also known as "Euler's constant" or "the Euler constant") is defined as the limit of the sequence
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<!-- <equation class="equation" label="eq:eulergamma_constant" align="center" raw="\gamma = \lim_{n\to\infty} \left( \sum_{k=1}^n \frac{1}{k} - \ln n \right)" alt="Equation for the Euler-Mascheroni constant."> -->
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<div class="equation" align="center" data-raw-text="\gamma = \lim_{n\to\infty} \left( \sum_{k=1}^n \frac{1}{k} - \ln n \right)" data-equation="eq:eulergamma_constant">
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<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5d87cc7cb2c58aeb732872f89562d2c89571cc8a/lib/node_modules/@stdlib/constants/float64/eulergamma/docs/img/equation_eulergamma_constant.svg" alt="Equation for the Euler-Mascheroni constant.">
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<br>
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</div>
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<!-- </equation> -->
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</section>
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<!-- /.intro -->
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<section class="usage">
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## Usage
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```javascript
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var GAMMA = require( '@stdlib/constants/float64/eulergamma' );
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```
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#### GAMMA
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The [Euler-Mascheroni][eulergamma] constant.
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```javascript
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var bool = ( GAMMA === 0.5772156649015329 );
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// returns true
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- TODO: better example -->
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<!-- eslint no-undef: "error" -->
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```javascript
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var GAMMA = require( '@stdlib/constants/float64/eulergamma' );
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console.log( GAMMA );
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// => 0.5772156649015329
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[eulergamma]: http://mathworld.wolfram.com/Euler-MascheroniConstant.html
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</section>
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<!-- /.links -->
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