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CherryBlossom1878
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2
How to intepret the vector space of nxn Matrices over $\mathbb{R}$(real numbers) as an $ \mathbb{R}^{n^{2}} $vector space.
Feb 15, 2019
2
$\lim\limits_{n\to\infty} \dfrac{0}{\left(\frac{2}{n^2}\right)^2}\overset{?}{=}0$. $n=\infty$ is not a case I need to consider, right?
Nov 9, 2023
2
Using the implicit function theorem for a function $f(x,y,z)$ , what if $\frac{\partial f}{\partial (y,z)} $ is not a square matrix?
Jan 9, 2023
2
Gradient of a homogenous function - proof with a help function ; Unsure about a derivative and about using the multidimensional chain rule
Dec 29, 2022
1
Determine extrema of a function $f$, what if the Hessian Matrix is not positive, negative or semi-definite? Do I need to calculate the Eigenvalues?
Feb 9
1
Calculate the field of a sphere with a homogenous distributed charge using Gaussian theorem and the 1st Maxwell Equation, flux integral calculation
Feb 1
1
How do I calculate $ \frac{\partial}{\partial t} \delta\left(\vec{r}-\vec{r}_{i}(t)\right)$
Jan 23
1
What does $\vec{\nabla}^2 \vec{E} = \vec{\nabla}^2 \left[ f(\vec{k} \cdot \vec{r} - \omega t) \vec{E}_0 \right]$ mean?
Jan 15
1
Why is $E\left(X_n X_{k}\right)-(E X_n)\left(E X_{k}\right)=\operatorname{Cov}\left(X_n,X_k \right)$ true?
Jan 11
1
$(A\cdot x)\cdot (B\cdot x)=(A\cdot x)\cdot (B\cdot x)= (B\cdot x)^t * (A \cdot x)=(x^t \cdot B^t) * (A\cdot x)=x^t \cdot (B^t * A)\cdot x$ Correct?
Nov 15, 2023