Let's say you are betting on the outcome of some random variable. You can invest any amount $X$, and each outcome multiples that amount $X$ by a cert...

Right now I am studying Partial Derivative in my university, but I am confused in its basic topic; Multi-variable Functions More specifically, I am having...

Let $$S := \pmatrix{A&B\\C&D}$$ If $A^{-1}$ or $D^{-1}$ exist, we know that matrix $S$ can be inverted. $$S^{-1} = \pmatrix{A^{-1}+A^{-1}B(D-CA^{-...

Doing an assignment and got up to this question "Is is sensible to extrapolate the graph back to the moment when the population was zero? Explain" Don...

I'm wondering about the cube root trick: To find a cube root of a large number, you only have to memorize the cube roots of numbers 1 to 10. Take the...

What's the relation between logic and algebra? Can one be thought of as a special case of the other?

I'm working on understanding double & triple integrals (and 3-space geometry in general) and I often encounter in my textbooks the requirement th...

I was thinking about this: Consider the affine variety on an algebrically closed field $K$ given by $A:=\frac{K[t,y]}{(xt-1)}$ and the projection on the $...

Is there a finite sequence of pieces of Tetris such that for every way of play you always lose?

what am i supposed to do? If you please explain to me step by step. I'm lost after long time trying and my answer is always being different. Q: A ver...