更改

</math>

</math>

Where H(Pi​) is the entropy of row vector Pi​. The maximum value of the first term is 0:<math>H(P_i)=-\sum_{j=1}^Np_{ij}\log p_{ij}</math>。分开来看，前一项式子最大值为0，即：

The definition of entropy is: <math>H(P_i)=-\sum_{j=1}^Np_{ij}\log p_{ij}</math>. Looking separately, the maximum value of the previous equation is 0, that is:

<math>

<math>

</math>

</math>

This occurs when Pi​ is a deterministic one-hot vector. Therefore, when all Pi​ are one-hot vectors, we have:

When <math>P_i</math> is a solitary heat vector without uncertainty, the equal sign of this equation holds.  This occurs when Pi​ is a deterministic one-hot vector. Therefore, when all Pi​ are one-hot vectors, we have:

当<math>P_i</math>为没有不确定性的独热向量时，该式子的等号成立。所以，当对所有的i都有<math>P_i</math>为独热变量时，有

So, when <math>P_i</math> is the sole heating variable for all i, there is:

<math>

<math>