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$ |f(z)-p_n(z)|\le (n+2)|z|^{n+1} $ with $ \deg(p_n(z))\le n $ over the unit disk

Quotient Distribution of Positive Independent Random Variables

Map $ \mathbb C\setminus\gamma $ conformally to a punctured disk, where $ \gamma = \{ z\in S:Re(z)\le 0 \} $

How to show the following ring is not Noetherian

Closure of Continuously DifferentiableFunctions in Holder Space

If $f$ is an entire function that goes to infinity, $f$ is a polynomial

Unit ball of $X^{**}$ is weakly compact!

Why are these not manifolds?

Prove there exists a matrix $B$ such that $AB=BA$ and $B^2 = -I$.

Proof of Mobius inversion formula - the other direction

If $X$ standard normal and $Y$ symmetric Bernoulli are independent then $Y$ and $XY$ are independent?

Let $ R $ be a p.i.d. and $ A\in M_n(R) $. If $ \det(A)=1 $, prove or disprove that $ A $ can be expressed as products of elementary matrices.

Find $f$ if $f(x)\leq x$ and $f(x+y)\leq f(x)+f(y)$ for all $x,~y\in \mathbb{R}.$

Prove that every prime number divides some number in the sequence $ a_n = 2^n+3^n+6^n-1 $ [closed]

A weakly convergent sequence in a compact set, is strongly convegnet

Dimension of the space of homogeneous polynomials in a quotient ring

Does $f(n\theta) \to 0$ for all $\theta>0$ and $f$ Darboux imply $f(x) \to 0$ as $x \to \infty$?

The set of the form $ m+n\sqrt{-3} $, $ m, n\in\mathbb Z $ or $ m, n $ are both halves of odd integers is a Euclidean domain

Show that a group of order $90$ is solvable

Apply Green's theorem to prove Goursat's theorem

A simple proof of the Portmanteau Theorem

Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null $F_\sigma$ set?

Under what circumstances is a characteristic function Riemann integrable?

A question about $S^{-1}R\otimes_R M\cong S^{-1}M$ as $S^{-1}R$-module

Using Lie's theorem to prove that Rad $L = Z(L)$ for $L=\mathfrak{sl}(V)$

Existence of Galois Closure

Suppose $ H\leqslant G $, prove that if $ (H, G')=\langle e \rangle $, then $ (H', G)=\langle e \rangle $.

Show that $f(z) =\log z$ is analytic everywhere in the complex plane

Volume after transformation.

Calculate the integral $ \int_{0}^{1}\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} (x^2+x^2y^3)\, dy dx .$