Can we create an "integration by parts" with quotient rule?

Show that $d'(x,y)=\min\{1,d(x,y)\}$ induces the same topology as $d$

The two definitions of a compact set

Splitting Field of the polynomial $x^4+x+1$ over $\mathbb{F}_2$.

Prove $\frac{a}{b}+\frac{b}{c}+\frac{c}{a} \geq \frac{a+b}{a+c}+\frac{b+c}{b+a}+\frac{c+a}{c+b}.$

Simplifying nested square roots ($\sqrt{6-4\sqrt{2}} + \sqrt{2}$)

When $x$ is a real number and $x>1$, why is $x^x>(x+1)^{x-1}$?

Find the number of bicycles and tricycles

What is a homogeneous Differential Equation?

Proof $\int \limits_{0}^{\infty}\left(\frac{\sin x}{x}\right)^2dx=\frac{\pi}{2}$ by definition

A diophantine equation with only "titanic" solutions

Given complex $|z_{1}| = 2\;\;,|z_{2}| = 3\;\;, |z_{3}| = 4\;\;$ : when and what is $\max$ of $|z_{1}-z_{2}|^2+|z_{2}-z_{3}|^2+|z_{3}-z_{1}|^2$

Is there a known mathematical foundation to the concept of emergence?

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