deletions | additions       diff --git a/Vague_Outline_Slice_Sampling_Slice__.md b/Vague_Outline_Slice_Sampling_Slice__.md  index 9c0981e..ca7164e 100644  --- a/Vague_Outline_Slice_Sampling_Slice__.md  +++ b/Vague_Outline_Slice_Sampling_Slice__.md 
...
Define the logistic sigmoid function \(\sigma(\alpha) = \frac{1}{1 + \exp(-\alpha)}\). A logistic regression models a binary-response variable with the following density function:  \begin{align}  P(Y = 1 | \mathbf{X}) &= \sigma(\mathbf{w^TX})\\ \sigma(\mathbf{w^TX})//  P(Y = 0 | \mathbf{X}) &= 1 - \sigma(\mathbf{w^TX})\\  &= \sigma(\mathbf{-w^TX})  \end{align}