chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 599d15309e88c813a40baf58
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title: 熵
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title: Entropy
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challengeType: 5
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videoUrl: ''
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forumTopicId: 302254
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dashedName: entropy
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---
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# --description--
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任务:
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Calculate the Shannon entropy H of a given input string.
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计算给定输入字符串的香农熵H.
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Given the discreet random variable $X$ that is a string of $N$ "symbols" (total characters) consisting of $n$ different characters (n=2 for binary), the Shannon entropy of X in bits/symbol is:
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给定谨慎的随机变量$ X $,它是$ N $“符号”(总字符)的字符串,由$ n $个不同的字符组成(对于二进制,n = 2),位/符号中X的香农熵是:
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$H_2(X) = -\\sum\_{i=1}^n \\frac{count_i}{N} \\log_2 \\left(\\frac{count_i}{N}\\right)$
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$ H*2(X)= - \\ sum* {i = 1} ^ n \\ frac {count_i} {N} \\ log_2 \\ left(\\ frac {count_i} {N} \\ right)$
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其中$ count_i $是字符$ n_i $的计数。
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where $count_i$ is the count of character $n_i$.
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# --hints--
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`entropy`是一种功能。
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`entropy` should be a function.
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```js
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assert(typeof entropy === 'function');
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```
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`entropy("0")`应该返回`0`
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`entropy("0")` should return `0`
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```js
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assert.equal(entropy('0'), 0);
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```
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`entropy("01")`应该返回`1`
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`entropy("01")` should return `1`
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```js
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assert.equal(entropy('01'), 1);
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```
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`entropy("0123")`应该返回`2`
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`entropy("0123")` should return `2`
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```js
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assert.equal(entropy('0123'), 2);
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```
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`entropy("01234567")`应该返回`3`
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`entropy("01234567")` should return `3`
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```js
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assert.equal(entropy('01234567'), 3);
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```
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`entropy("0123456789abcdef")`应返回`4`
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`entropy("0123456789abcdef")` should return `4`
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```js
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assert.equal(entropy('0123456789abcdef'), 4);
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```
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`entropy("1223334444")`应返回`1.8464393446710154`
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`entropy("1223334444")` should return `1.8464393446710154`
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```js
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assert.equal(entropy('1223334444'), 1.8464393446710154);
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