$f_n$ converges pointwise to $f$ on $E$ if $\forall x \in E$ and $\forall \varepsilon > 0$, $\exists N \in \mathbb N$, such that $\forall n \geq N$ we ...

$ABC$ is an acute angled scalene triangle. $L,M,N$ are midpoints of the sides $BC,CA,AB$. The perpendicular bisectors of $\overline{AB}$ and $\overline{CA...

The probability to see a falling star in the sky over the course of one hour is 0.64. What is the probability to see it over the course of half an hour?

Help us settle this argument. Consider a circle. What would best describe a circle? A zero sided regular polygon? The other person thinks this because it ...

I'm studying for the Waterloo Math Contest (Galois, Gr. 10) taking place in April of 2015 and I am preparing by looking at previous problems and solv...

I'm having lots of trouble piecing this together (from Elements of Statistical Learning by Hastie/Friedman): I don't understand the step: "[d]if...

First of all, I didn't know where to ask this question, if here or on SO, so I decided to post in both, even if I know we should not do that. I'...

What is the mathematically rigorous way to answer the question: "what is the largest fraction less than 1"? (or to explain why it cannot be answered in th...

$i^{2014}$ power =? A. $i^{13}$ B. $ i ^{203}$ C. $i^{726}$ D. $i^{1993}$ E. $i^{2100}$ I don't understand the concept that powers of i repeat in fou...

Is there a general method for removing a sum from an expression to produce a closed form? For example I needed to "unroll" the following expression in a r...