As the topic says, I need to simplify: $$\ln |x-x^2| - \ln |x-1| $$ I don't know how to approach the problem at all. I'm not asking for the answ...

Suppose we have 52 cards: 26 black and 26 red ones. When the cards are placed in a row if between two given cards of one colour there is no cards of other...

Rationalize $\dfrac{1}{\sqrt[3]{p^2}+\sqrt[3]{pq}+\sqrt[3]{q^2}}.$ How would I go about doing this without wading through lots of algebra? Is there a tric...

I would like to know of some examples of a prime ideal that is not maximal in some commutative ring with unity.

I'm having a difficult time figuring out this problem. I'm thinking that you will need to solve the anti-derivative to get the velocity, and the...

Two rectangles can overlap in lots of different ways. One can be entirely inside the other (2 variations depending on which is inside which). They can ove...

I want to see the following step in greater detail: $$\nabla_x~\bigg[(\vec{x}-\vec{\mu})^TP^{-1}(\vec{x}-\vec{\mu}) \bigg] ~~~~~(3)$$ $$= P^{-1}(\vec{x}-\...

Two teams play a series of baseball games, team A and team B. The team that wins 3 of 5 games wins the series. The first game takes place in the stadium o...

I need to prove the infity norm of a matrix, which is here: $$||A||_\infty = \max_{x \neq 0}\left\{\frac{\max_{1\le i\le n}(|(Ax)_i|)}{\max_{1 \le i \le n...

I've recently played with the IMU filter in MATLAB. When using their examples, they always plot the rotations by stating something alike this: plot(t...