# All Questions

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### winding number partial fractions

I need to compute the winding numbers for a particular contour integration (which I understand and is not relevant for this question). However, before doing so I need to use partial fractions to get ...
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### Expected Value of the product of an indicator R.V. and continuous R.V.

I have an indicator random variable $X \in \{0,1\}$ and a continuous random variable $Y$. I am looking for $E[XY]$. Intuitively, it seems $E[XY] = P(X=1)E[Y|X=1]$, but am having a hard time ...
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Let V be an inner product space,and suppose that $x$ and $y$ are orthogonal vectors in V.We also know $\left\lVert x+y \right\rVert^2=\left\lVert x \right\rVert^2+\left\lVert y \right\rVert^2$.My ...