lp spaces - Translation operator and continuity - Mathematics Stack ...
Nov 12, 2014 · I came across a text that proves that translation operator $T_a(f):=f(x-a)$ where $a\\in\\mathbb{R}^n$ and $f\\in …
Intuitive explanation of Lyapunov condition for CLT
Jul 19, 2013 · Every CLT is basically a rendering of the fact that "many" "not-too-large" and "not-too-correlated" random increments …
How to show that every Boolean ring is commutative?
A ring $R$ is a Boolean ring provided that $a^2=a$ for every $a \\in R$. How can we show that every Boolean ring is commutative?
Are Singleton sets in $\\mathbb{R}$ both closed and open?
Aug 2, 2016 · If you are giving {x} {x} $\{x\}$ the subspace topology and asking whether {x} {x} $\{x\}$ is open in {x} {x} $\{x\}$ in this …
reference request - What's a good place to learn Lie groups ...
You don't need to know any differential geometry to grasp the basic ideas in Lie theory beyond some idea of what a tangent vector …
How were the sine, cosine and tangent tables originally calculated?
The full history is quite complicated. Before sine tables, there were tables of chords. This Wikipedia article gives details. Tables of …
A practical way to check if a matrix is positive-definite
The really truly practical method for checking positive definiteness is to see if your matrix has a Cholesky decomposition...
Understanding the Equation of a Möbius Strip
Is there a reason you need an equation for the Mobius band? In terms of topology, there are much much easier ways of defining the …
Generate Correlated Normal Random Variables
Jul 17, 2013 · I know that for the 2 2 $2$ -dimensional case: given a correlation ρ ρ $\rho$ you can generate the first and second …
Why is the area under a curve the integral?
Dec 23, 2010 · There are 2 potential questions here. One is the question of why the definite Riemann integral gives the correct …