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Noob mathematician
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8 votes
Accepted

Prove that f is a lipschitz function if $\exists K \in \mathbb{R^+} \forall x,y \in \mathbb{R}: |f(y)-f(x)| \le K|\cos y - \cos x|$

7 votes
Accepted

Galois Group of $x^4 - 7$ over $\mathbb{F}_5$

4 votes

Derivative of distance along a smooth curve

4 votes
Accepted

Show that $(x_n)^{\infty}_{n=1}$ converges.

4 votes
Accepted

Can we show $\mu(gX) = \mu(X)$ if integral is translation invariant?

4 votes
Accepted

Proving the archimidean property and a variant of it

3 votes

An example for integrable function that is never zero

3 votes
Accepted

Young inequality: Generalization on $\mathbb{T}$ space.

3 votes

$V=N(T^m)\oplus R(T^m)$

3 votes

$(0,1), [0,1), [0,1]$ are not homeomorphic

2 votes
Accepted

A problem on separable extension on field of characteristic $p>0$

2 votes

Lower limit topology on $\mathbb R$ is regular

2 votes

Measurable functions : $f(A) \in \mathcal{B}$

2 votes
Accepted

The cyclic subgroups of $p^2$ order non-cyclic group are normal

2 votes
Accepted

Uniformly continuous or not?

2 votes
Accepted

Convergence of $\sum_{n\ge16}^{ }\frac{1}{n\ln n\left(\ln\ln n\right)^{p}}$

2 votes

Find all function $f : \mathbb{R} \to \mathbb{R}$ s.t. $\lim_{x \to 0} \frac{f(x)}{x}=1$ & $f(x+y)=f(x)+f(y)+2xy$.

2 votes

Confused about proving things using compactness

2 votes

Consequence of Darboux theorem for derivatives

1 vote
Accepted

How R2 linear transformed into a (2x2) matrix?

1 vote

Show that if $z$ is any point on the line joining $z_1 = 1$ and $z_2 = i$ then $|z|\geq \frac{1}{\sqrt{2}}$

1 vote

Proving inequality between a Lebesgue Integrals

1 vote

Prove that for every number in ${1, 2, ..., p-1}$ there exists another within the same set such that their product is congruent to $1$ $mod$ $p$.

1 vote
Accepted

prove that a set is a domain

1 vote
Accepted

Why if $a > 0$ , $\lim((e^a)^n) = +\infty \Rightarrow \lim_{x\to + \infty} x^a = + \infty$

1 vote

how many holomorphic functions satisfy a specific requirement

1 vote
Accepted

Prove the sum and product of real numbers are continuous functions

1 vote

How to prove that if $A$ is a square matrix on $\mathbb{R}$, $A$ is nilpotent, then trace($A$)=0

1 vote

In a Uniform(−1,1) random variable $X$, find $P(−0.5 ≤ X < 1.5 \mid X > − 0.25)$

1 vote

Finite fields isomorphisms and ideals