In Lurie's "On the Classification of Topological Field Theories" (and certainly other places) he defines the category $\mathbf{Cob}(n)$ who objects a...
I am working on a joint probability problem and am getting an answer I do not understand. {X: -1, -1, 0, 1, 2} Y = X^2 I determined that the events are de...
Find the values of $k$ so that the following is an inner product on $R^2$, where $u = (x_1,x_2)$ and $v =(y_1,y_2)$ : $f(u,v) = x_1y_1 −4x_1y_2 −4x_2y_1 +...
I am trying to understand how I can find the point of intersection between two lines numerically. I know how to do this graphically. I would need the two ...
Here's the theorem: Theorem: If $f$ is periodic with Fourier coefficients $a_n,b_n$ and if the series $$\sum_{n=1}^\infty (|n^{k}a_n|+|n^{k}b_n|)$$ c...
The following statement is the axiom of completeness: Every non empty subset of $\mathbb R$ that is bounded above has a least upper bound. So I was wonder...
I saw this question: Vidya wonders why numbers one and zero are neither composite numbers nor prime numbers. Could you please explain to Vidya what can ha...