Ok this is when I'm learning about solving first order differential equations by substitution. I searched for answers but found mainly these points: ...

I'm studying the combinatorial design theory related to graph theory. While studying, I met a problem related to block design, but not BIBD. I have t...

I am trying to calculate the number of intersections one would have in a Venn diagram with 8 overlapping circles but do not know where I would start. Any ...

I was playing around with $\tan e^n$ and realized that $\tan5^n$ has an interesting property: $$ \begin{eqnarray} \tan 5^{1}&=&-3.380515\ldots\\ \...

In this paper Boltzmann Machines, the first paragraph of the second section 2. Boltzmann Machines argues that, we could never train such a network with th...

I’m working on some Chinese Remainder problems and it doesn’t seem like I have the procedure down correctly. I'll list the steps I’m taking so hopefu...

We choose a number from the set $\{0,...,9999\}$ randomly, and denote by $X$ the sum of its digits. Find the expected value of $X$. If we are letting $X$ ...

So I am trying to get matlab to output the correct eigenvalue/eigenvector of a matrix. The matrix is: \begin{array}{ccc} 0 & 1 \\ -3 & -4 \end{arr...

I am trying to prove the following: If p and q are distinct primes, then $\sqrt{pq}$ $\notin$ $\Bbb{Q}$. Here is my proof thus far: Suppose towards a cont...

I'm new to induction and have not done induction with inequalities before, so I get stuck at proving after the 3rd step. The question is: Use inducti...