query: gradient of C1 function problem
positive_passages.docid: 145173
positive_passages.text: $f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
negative_passages.docid: 63516
negative_passages.text: $C^1[0,1]$ is not complete with respect to sup norm
negative_passages.docid: 28096
negative_passages.text: Finding the derivative of $x\uparrow\uparrow n$
negative_passages.docid: 147053
negative_passages.text: Gamma function still hard for me
negative_passages.docid: 38192
negative_passages.text: Derivative of inverse function at a point.
negative_passages.docid: 56958
negative_passages.text: bounding a $C^1$ function that upholds $f'(t)\leq 1-f(t)^2$
negative_passages.docid: 75450
negative_passages.text: How does rectilinear activation function solve the vanishing gradient problem in neural networks?
negative_passages.docid: 97562
negative_passages.text: Proving Lipschitz gradient of $f(x)=\sqrt{1+\|x\|^2}$
negative_passages.docid: 27738
negative_passages.text: Gradient of $a^T X b$ with respect to $X$
negative_passages.docid: 79340
negative_passages.text: Dirichlet problem in the disk: behavior of conjugate function, and the effect of discontinuities
negative_passages.docid: 84385
negative_passages.text: Implicit differentiation
negative_passages.docid: 135941
negative_passages.text: Derivative of $|x|^\alpha$
negative_passages.docid: 144323
negative_passages.text: Differentiation of a function
negative_passages.docid: 144439
negative_passages.text: For a $C^1$ function, the difference $|{g'(c)} - {{g(d)-g(c)} \over {d-c}} |$ is small when $|d-c|$ is small
negative_passages.docid: 69987
negative_passages.text: What is the $L^2$ gradient flow?
negative_passages.docid: 140024
negative_passages.text: How to obtain the gradient in polar coordinates
negative_passages.docid: 29026
negative_passages.text: Is the gradient a surface normal vector or does it point in the direction of maximum increase of f