diff --git a/docs/src/dev/how_it_works.md b/docs/src/dev/how_it_works.md index 753602e8..bcf1c6bd 100644 --- a/docs/src/dev/how_it_works.md +++ b/docs/src/dev/how_it_works.md @@ -86,7 +86,7 @@ the result. For example, to calculate the partial derivatives for the gradient o \vdots \\ x_N + \epsilon_N \end{bmatrix} -\to +\mapsto f(\vec{x}_{\epsilon}) = f(\vec{x}) + \sum_{i=1}^N \frac{\delta f(\vec{x})}{\delta x_i} \epsilon_i ``` @@ -111,7 +111,7 @@ two calls to ``f`` to evaluate the gradient: x_3 \\ x_4 \end{bmatrix} -\to +\mapsto f(\vec{x}_{\epsilon}) = f(\vec{x}) + \frac{\delta f(\vec{x})}{\delta x_1} \epsilon_1 + \frac{\delta f(\vec{x})}{\delta x_2} \epsilon_2, ``` 2nd call: @@ -122,7 +122,7 @@ f(\vec{x}_{\epsilon}) = f(\vec{x}) + \frac{\delta f(\vec{x})}{\delta x_1} \epsil x_3 + \epsilon_1 \\ x_4 + \epsilon_2 \end{bmatrix} -\to +\mapsto f(\vec{x}_{\epsilon}) = f(\vec{x}) + \frac{\delta f(\vec{x})}{\delta x_3} \epsilon_1 + \frac{\delta f(\vec{x})}{\delta x_4} \epsilon_2. ```