I was looking back on complex analysis and asked myself: ''Why is there no complex number in 3 dimensions ?''. To place this question ...

I know its a little silly, but I got the wrong sign several times. Just to be clear, $z=r\cos(\phi), -\frac{\pi}{2}\leq\phi\leq\frac{\pi}{2}$ when convert...

I have read this question. I am now stuck with the difference between "if and only if" and "only if". Please help me out. Thanks

What does this mean in English: $\bigcup\mathcal{P}A = A$ ? I assume it has something to do with unions and powersets but I don't understand the mean...

If every element of set $A$ is an element of set $B$ then we say that $A$ is subset of $B$. $A$ is said to be proper subset if $A$ does not equal $B$. My ...

Given that $a,b,c\ $ are pairwise relatively prime, what is the largest number not expressible as a linear combination of $a,b,c\ $? What if $a$ and $b$ h...

Reading through my notes in dynamical systems. I get to a point where it asks to write the Van der Poll equation as the state space form. $\ddot \theta - ...

I've noticed that Sigma notation is a lot like a For loop in programming. What, if anything, can be used to notate a While loop mathematically? In ot...

If $1$cm = $.01$m then shouldn't the square root of $1$cm = the square root of $.01$m but the square root of $1$ = $1$ while the square root of $0.01...

Find all horizontal asymptote(s) of the function $\displaystyle f(x) = \frac{x^2-x}{x^2-6x+5}$ and justify the answer by computing all necessary limits. A...