
Understanding the Laplace operator conceptually
Mar 17, 2021 · Actually this question has been previously asked and well-answered. See Intuitive interpretation of the Laplacian. Also Nice way of thinking about the Laplace operator. Also Why is the …
Laplacian of spherical coordinates - Mathematics Stack Exchange
Jun 25, 2020 · As part of my attempt to learn quantum mechanics, I recently went through the computations to convert the Laplacian to spherical coordinates and was lucky to find a slick method …
Eigenfunction and eigenvalues of Laplacian - Mathematics Stack …
I'm wondering about some definitions of the eigenvalues and eigenfunctions of the laplacian operator and I would be really glad if you can help me on these definitions. Let's make things simple. I...
multivariable calculus - Intuitive interpretation of the Laplacian ...
Sep 15, 2021 · I'd suggest including the word (laplacian operator or laplace operator, in fact both). Currently the title is hard to search because of the different names people give this mathematical …
为什么 空间二阶导(拉普拉斯算子)这么重要? - 知乎
一旦你搞清楚了拉普拉斯算子(Laplacian)的物理意义你就知道为什么它那么常见、那么重要了。 一般你看到的拉普拉斯算子长这样: ∇ → 2
linear algebra - Understanding the properties and use of the Laplacian ...
The Laplacian is a discrete analogue of the Laplacian $\sum \frac {\partial^2 f} {\partial x_i^2}$ in multivariable calculus, and it serves a similar purpose: it measures to what extent a function differs at …
Why is the Laplacian of - Mathematics Stack Exchange
Apr 17, 2016 · Why is the Laplacian of 1/r 1 / r a Dirac delta? [duplicate] Ask Question Asked 9 years, 8 months ago Modified 9 years, 8 months ago
spectral graph theory - Why Laplacian Matrix need normalization and …
Jan 21, 2015 · Why Laplacian matrix needs normalization and how come the sqrt-power of degree matrix? The symmetric normalized Laplacian matrix is defined as $$\ L^ {\text {sym}} = I - D^ { …
linear algebra - Why is second smallest eigenvalue and the ...
Aug 24, 2015 · The article begins with a discussion of eigenvectors for the smallest eigenvalue, which in the case of the graph Laplacian happens to be zero. The number of eigenvectors for this eigenvalue …
multivariable calculus - Intuition behind writing the Laplacian ...
Oct 3, 2022 · The Laplacian operator measures the deviation between a point and the average of its neighboring points. A neighboring point where the value is lower will have its gradient pointing …