数理モデルのための数式:positive negativeのラベル

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I found, so many times, the following expression.

we will divide a dataset \(X\) into the 2 parts of positive effect and negative effect, as following, X = X^{pos} \cup X^{neg}.

Write the above, like this,

Let dataset be \(X\). We will divide \(X\) into the 2 parts of positive effect \(X^{+}\) and negative effect \(X^{-}\), that is, X = X^{+} + X^{-}.

Do not use multi-italic string for label. And if they are so famous meaning like positive and negative, use the common notation \(+, -\) for them. \(\cup\) does not assure the intersection is empty. Divide means the intersection is empty, so make the meaning of "divide" clear by using sum notation \(+\) for set union operation.