Is the ring of germs of $C^\infty$ functions at $0$ Noetherian?

Prove by mathematical induction: $\frac{1}{n}+\frac{1}{n+1}+\dots+\frac{1}{n^2}>1$

Identifying the two-hole torus with an octagon

Is Category Theory similar to Graph Theory?

Is my proof that $\frac{\pi}{4}=\sum\limits_{n\geq 0}(-1)^n \frac{1}{2n+1}$ correct?

A freshman's dream

Killing vector field along a geodesic

Invertiblity of the Derivative Matrix ?! (to use Inverse function Theorem)

Pseudo-Cauchy sequence

Find multivariable limit $\frac{x^2y}{x^2+y^3}$

Understanding the definition of nowhere dense sets in Abbott's Understanding Analysis

$\operatorname{Cov} \, (A,B)\geq 0$ and $\operatorname{Cov}(B,C)\geq 0\Rightarrow \operatorname{Cov}(A,C)\geq 0$?

Show that the numbers $(2n + 1)$ and $(4n^2+1)$ are relatively prime

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