So pretty much everyone can agree that the following is undefined: $$\frac{n}{0},~~(n\neq 0).$$ With the reasoning being that as you approach dividing by ...

So, I was counting in base $8$: $1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,20,21,22,23,24,25,26...$ Then I tried counting in base $13$ and got confused: $1,2,...

We are given parameters $a > 0, b > 0$. Task is to integrate that: $\displaystyle \int_0^1 {\frac {x^a-x^b} {\ln x} dx}$. I have tried approaching p...

What is a weighted limit in the $Cat$-category of categories, functors and natural transformations? I can find the general definition of a weighted limit ...

From the first page of this pdf on measurements of bandstructures it is written that: In the chain rule above, written again below for clarity: $$\frac{\p...

The matrix in question is: $$ p=\begin{pmatrix} -1 & 1 \\ -1 & 0 \end{pmatrix} $$ acting on vectors $\begin{pmatrix} x \\ y \end{pmatrix}$ in the ...

I've been asked to find the curl of a vector field in spherical coordinates. The question states that I need to show that this is an irrotational fie...

I am wondering if there is a generally accepted definition of the term curve in mathematics. If one does exist, is there any requirement of continuity, be...

I thought about the importance of 0 in numeral systems, and base 26 doesn't have one, for example those numbers in base 10 are the same: 0342 342 000...

I have a question asking me why matrix multiplication isn't commutative. I'm not exactly sure what's the best way to explain this without s...