I am greatly confused with Dedekind cuts... I am trying to prove that this is a Dedekind cut: If $D$ and $E$ are in $\mathbb{Q}$ and are Dedekind cuts, th...

I am working on this question "identify whether it is a function and, if your answer is yes, identify 1) its image and whether it is 2) injective, 3)...

Now I want to write a piece of code to calculate the inversion of a triangular matrix which do it in parallel. I know that the equation of the triangular ...

Before I start asking the question, I want to apologize for my illiteracy in latex maths and the abstraction of my question. My question is, is it possibl...

According to Wikipedia: A common convention is to list the singular values in descending order. In this case, the diagonal matrix $\Sigma$ is uniquely det...

I just came across the example of the topologist's sine curve that is connected but not path-connected. The rigorous proof of the non-path-connectedn...

I am referring to the this wiki page, which states that the way to find the volume of a Polyhedron can be done via Divergence Theorem: $$\int \nabla \cdot...

Let the reduced row echelon form of $A$ be $R$ = $\begin{bmatrix}1&-3&0&4&0&5\\ 0&0&1&3&0&2\\ 0&0&0&0&...

I know $\tan^2(x) \neq \tan(x^2)$ but I can't find an intuitive way to understand $\tan^2(x)$. When I do it in my mind I think: $\tan^2(x) = \left(\f...

Like interpret the intercept and slope in a practical context of the data. For example, if I am given this fitted regression line $$Y\hat = -0.55 + 0.09X$...