I am having trouble with notations like 1 cm$^{-3}$, especially since I am converting them between compound units. Is there a way to express 1 cmcm$^{-3}$...

Let $Y_1, Y_2, \dots, Y_n$ be i.i.d RVs from the following distribution: $$f(y) = \theta y ^{\theta -1} \qquad 0 < y < 1, \quad\theta > 0$$ Show ...

In Lognormal distribution if the random variable X is log-normally distributed, then Y = ln(X) has a normal distribution. Is there inverse equivalent to l...

Our Math class right now is all about Geometric Sequences and we all know the equation for them which is $$A_n = A_1 \cdot r^{n-1}$$ We were only given th...

I can't seem to understand how to solve this. I mean, if we weren't dealing with complex numbers, then I suppose it is clearly 1, but I don'...

Countable sets have the same cardinality as the natural numbers (or a subset of the natural numbers, depending on who you ask). Can one make the same clai...

I hope it's valid to ask for "a more neat solution" of a problem on this network, despite the fact that I don't have a strict definiti...

Given $u=(0,0)$, $v=(\frac12,0)$, $w=(\frac12,\frac12)$. Find the hyperbolic area of the hyperbolic triangle $[u,v,w]$ in $\mathbb{H}^2$. My approach: One...

I have the question: "Calculate the total energy of the moving object, when mass = $4$ kg, acceleration due to gravity = $9.81~\text{ms}^{-2}$, height = $...

According to this Numberphile video, if you tightly pack hyper-spheres into a hyper-box and then find the radius of the largest hyper-sphere that could po...