MathOverflow

$\newcommand{\C}{{\mathbb C}}\newcommand{\PGL}{{\rm PGL}}$Let$\quad V_6=\C^6,\ \ V_4=\C^4,\ \ W={\rm Hom}(\Lambda^2 V_6, V_4),\quad$where $\C$ denotes the field of complex numbers.Let$$ X= {\mathbf P}(W),$$the projectivization of the 60-dimensional vector...

I am writing some code where I have the parameters of a circular helix in a 3D coordinate system, and I need to make it segmented, but the segments need to be of a specific length ($L$). I have found many solutions on the internet for just creating segmentation...

I am reading a scientific article in which matrices are handled (which I do not use often). We consider a matrix $X\in\mathbb R^{n\times p}$ and a vector $y\in\mathbb R^n$. The authors show that the optimal value $w^*$ of the following problem:
$c := \min \frac 1{2\gamma} \big|\big|w\big|\big|^2_2+\frac 1 2 \big|\big|Y-Xw \big|\big|_2^2$ such that $w\in\mathbb R^p$...

Let $X$ be a set. We say that $\psi:X\times X\to[0,\infty)$ is a CND (conditionally negative definite) kernel if there is a Hilbert space $\mathcal{H}$ and a map $f:X\to\mathcal{H}$ such that\begin{align*}\psi(x,y)=\|f(x)-f(y)\|^2,\quad\forall x,y\in...