I currently have the book Dynamical Systems with Applications Using Mathematica by Stephen Lynch. I used it in an undergrad introductory course for dynami...

Im reaching a point in programing where I need to create basic shapes which I simply cant since my math skills are very bad. After finding out that the sk...

Why is $|a - b| \geq|a| - |b|$?

$$\sum_\limits{n=1}^\infty\frac{(-1)^{n+1}}{n^6}$$ With the error being $\vert \mathbf{error} \vert \lt \ .00005$ In order for the series to undergo the A...

Given set $ A = \{ \emptyset \}$ what is $|A|$? I just learned about sets today in class and I'm unsure how to answer this.

My book says \begin{equation} (a,b)=\{\{a\},\{a,b\}\} \end{equation} I have been staring at this for a bit and it doesn't make sense to me. I have re...

Simple question from a calc 3 beginner. Visually I cannot imagine the span of two vectors, what does this necessarily mean? For example my text mentions i...

Find shortest distance between lines given by $$\frac{x-2}{3}=\frac{y-6}{4}=\frac{z+9}{-4}$$ and $$\frac{x+1}{2}=\frac{y+2}{-6}=\frac{z-3}{1}$$ Is there a...

We know that the variance of a constant is $0$. Is the converse also true? Can we say that if the variance of some random variable is $0$ it is a constant?

The fixed point B has position vector $b$ relative to a fixed point $O$. A variable point $M$ has position vector $m$ relative to $O$. Find the locus of M...