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Using Jensen's inequality on the definition of mutual information we can show that <math>\operatorname{I}(X;Y)</math> is non-negative, i.e.

Using Jensen's inequality on the definition of mutual information we can show that <math>\operatorname{I}(X;Y)</math> is non-negative, i.e.

利用'''Jensen 不等式 Jensen's inequality'''对互信息的定义，我们可以证明<math>\operatorname{I}(X;Y)</math>是非负的，即:

利用'''琴生不等式 Jensen's inequality'''对互信息的定义进行推导，我们可以证明<math>\operatorname{I}(X;Y)</math>是非负的，即:

<math>\operatorname{I}(X;Y) \ge 0</math>

<math>\operatorname{I}(X;Y) \ge 0</math>