user121418

Member for 9 years, 10 months
Last seen more than 9 years ago

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real-analysis

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For continuous function $ f:\mathbb S^1 \to \mathbb R$ there exists uncountably many distinct points $x,y$ such that $f(x)=f(y)$

Jan 16, 2014

8

Find $\lim_{n\to\infty}\int_{-\pi}^{\pi}f(t)\cos^2(nt) \,dt$

Jan 21, 2014

7

Does there exist any continuous but not uniformly continuous function $f(x)$ such that $\sin(f(x))$ is uniformly continuous?

Jan 23, 2014

6

If $N$ is a normal subgroup of a group $G$, and $M$ is a characteristic subgroup of $N$, then $M$ is a normal subgroup of $G$.

Jan 22, 2014

6

Can the following integral be computed?

Jan 22, 2014

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Evaluate: $x_i\ge0; \max_{1\le i \le n , \sum_{i=1}^{n}{x_i=a}}x_1x_2...x_n$

Jan 26, 2014

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real-analysis

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Nov 14, 2022

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