I would like to know if we can refer to $$ax^2+bx+c=0$$ as the "general form" of a quadratic equation, or is it only called the standard form?

I am currently relearning econometrics in more depth than I had before. One thing I am trying to make sense of currently is why it is necessary for the as...

So I recently read this question: Difference between improper node and proper node for phase portrait and I find myself still needing some more concrete c...

In this context ${n \in \mathbb{N}| (x > 1) \wedge (\forall x,y \in \mathbb{N})[(xy= n) \Rightarrow (x=1) \lor (y=1)]}$ what is the meaning of the righ...

Does this undirected graph with 6 vertices and 9 undirected edges have a name? I know a few names that are not right. It is not a complete graph because a...

I have searched, but I haven't found an answer to this question. How are piecewise functions defined in set theory? And what are alternative ways to ...

Definitions are needed to define objects and such, however I am confused as to where definitions come from. I feel that they cannot be something that we a...

I am having some trouble with this. I can see that the last two are true by testing them with a few functions, but I don't know how to prove them. Al...

My text book is called "Linear Algebra and its applications" by David C. Lay. I am just wondering why the textbook uses the absolute value symbol when it ...

Question: Let $f(x)=x^6-2x^3-8$ and $g(x)=x^2+2x+4$. Let $a_1$ through $a_6$ be its roots. Find the value of $\displaystyle \prod_{n=1}^{6} (g(a_n))$ My p...