Question

Does $\frac{\partial^2}{\partial^2 (\vec{r}_2 + \vec{r}_1 )} ?= \frac{\partial^2}{\partial^2(\vec{r}_2)} + \frac{\partial^2}{\partial^2(\vec{r}_1)}$?

score 48 · Answer 1 · 2019-04-07 21:12:01

Does $\frac{\partial^2}{\partial^2 (\vec{r}_2 + \vec{r}_1 )} ?= \frac{\partial^2}{\partial^2(\vec{r}_2)} + \frac{\partial^2}{\partial^2(\vec{r}_1)}$?

score 90 · Answer 2 · 2019-04-07 21:29:17

Gradient of $f(x) = 1^T \left[ \left( x - 1 \left[1^T x\right] \right) \odot \left(x - 1 \left[1^T x\right] \right) \right]$ w.r.t. $x$

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List Question

Does $\frac{\partial^2}{\partial^2 (\vec{r}_2 + \vec{r}_1 )} ?= \frac{\partial^2}{\partial^2(\vec{r}_2)} + \frac{\partial^2}{\partial^2(\vec{r}_1)}$?

Gradient of $f(x) = 1^T \left[ \left( x - 1 \left[1^T x\right] \right) \odot \left(x - 1 \left[1^T x\right] \right) \right]$ w.r.t. $x$

Matrix geometric sum with a unit eigenvalue

Hadamard product tricks of particular entities

Gradient of $f = \gamma \ \left( x - 1\mu(x) \right) \ \left( \sigma(x) + \epsilon \right)^{-1/2} + 1\beta$ w.r.t. $x$, $\gamma$, and $\beta$

Gradient of trace norm of complex matrix

Iterating through weak compositions

Gradient of trace of squared matrix logarithm

What is the second-order Taylor expansion of a function $f : \mathbb C^n \to \mathbb R$?

matrix raised to a matrix

How to make sure matrix completion can generate a matrix with values in expected range?

Monotonicity of matrix inverse of positive definite matrices

Is it correct for derivatives of matrix completion problem?

Conditions under which a known vector valued function the gradient of some function

Proof of derivative of $x^TBx$ using the product rule

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