I want to find the normalization constant for the function $f(x)=e^{-\frac{x^{2}}{2}}$. I start by calculating the norm of $f(x)$ over $\mathbb{R}$: $$ \n...

How do you derive the formula for unsigned curvature of a curve $\gamma (t) = (x(t), y(t)$ which is not necessarily parameterised by arc-length. The formu...

Especially in machine learning one often reads the phrase "to marginalise out" something, and while I understand that this means to integrate over a prope...

I'm studying complex analysis and I'm wondering about all complex values of $z$ that satisfy the equation: $$ \cosh(z)=0 \,\, . $$ Is there a sm...

Recently, I am working on polynomial division. Suppose coefficients of all polynomials are elements in $GF(2^q)$. I want to calculate the remainder such t...

I know this is fairly basic stuff compared to most of the questions here, but I have to start somewhere. How would I find out whether the following lines ...

I am just beginning to learn about elliptic functions. Wikipedia defines an elliptic function as a function which is meromorphic on $\Bbb C$, and for whic...

I am following a lecture on logistic regression using gradient descent and I have an issuer understanding a short-path for a derivative : Let be : $z=w_1x...

I am using Octave (3.6) on Ubuntu 10.0.4 LTS. I want to do some research involving symbolic math. I was thinking of downloading sage (I just found about i...

due to our national cirriculum (the way in which it was taught in high school). We just said that f(x) means a function. Though I understand this isn'...