User Michael L. - Mathematics Stack Exchange

26 votes

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Please help me identify these mathematicians

answered May 16, 2017 at 7:14

20 votes

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Solving a high school conjecture

answered Oct 21, 2016 at 16:29

8 votes

Making sure if it is Cauchy

answered Nov 26, 2018 at 0:34

7 votes

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Showing $F(x) = 1/x \int_0^x f(t) dt$ is increasing

answered Nov 5, 2016 at 0:24

6 votes

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Prove that $A$ is unbounded (a problem in analysis)

answered Aug 26, 2017 at 21:07

6 votes

Continuous $f:[0,1]\to\mathbb{R}$ such that $f(0)=f(1)$ and $\forall\alpha\in(0,1)\exists c\in[0,1-\alpha]|f(c)=f(c+\alpha)$?

answered Dec 17, 2017 at 1:15

5 votes

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$X$ is normal if and only if $A\subseteq U$ implies there exists $V$ such that $A\subseteq V\subseteq\overline{V}\subseteq U$

answered Sep 6, 2017 at 1:12

5 votes

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Example 7.21 and Definition 7.22 in Baby Rudin: Why is this sequence of functions not equicontinuous?

answered Oct 5, 2017 at 5:57

5 votes

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Is there an analogue of convexity for geometric mean?

answered May 19, 2017 at 4:28

5 votes

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Does anyone know what the series $\frac{n^x}{n!}$ converges to?

answered Jul 30, 2017 at 4:50

4 votes

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Remainder when dividing by 990: Chinese Remainder Theorem

answered May 16, 2017 at 6:34

4 votes

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Can a continuous, locally Lipschitz and bounded map be approximated by globally Lipschitz functions?

answered Jul 24, 2017 at 22:03

4 votes

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Solve the differential equation $x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}+(x-1)y=0$

answered Jul 28, 2017 at 17:32

4 votes

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$\lim_{x\to 0}\left\lfloor\frac{n\sin(x)} x \right\rfloor,n\in\mathbb N$

answered Jul 28, 2017 at 20:44

4 votes

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The nonwandering set

answered Jun 23, 2017 at 2:23

4 votes

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$L^p$ subspaces of $L^1$

answered Jul 8, 2017 at 19:38

4 votes

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Proving that a subspace of $\ell^1$ is bounded and closed, but not compact.

answered Oct 15, 2017 at 21:24

4 votes

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Bounded linear transformation definition clarification

answered Nov 30, 2017 at 22:36

4 votes

$\mathcal{A} = \{(x_{1}, x_{2}, x_{3}) \in R^{3} |x_{1} = x_{2} + x_{3}\}$ is a closed convex set

answered Aug 30, 2017 at 6:55

4 votes

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How to show $\sum\limits_{n=0}^\infty \frac{{x^2}}{(1+x^2)^n}$ is uniformly convergent over $[-1,1]$.

answered Aug 17, 2017 at 4:15

4 votes

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Cauchy type equation in three variables: $ P(x) + P(y) + P(z) = P(x + y + z)$ when $xy + yz + zx = 1$

answered Aug 1, 2017 at 21:09

4 votes

Bounded sequence in a Hilbert such that all subsequences that weakly converge do so to the same limit

answered May 17, 2018 at 4:30

3 votes

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A question about a sequence in a Banach Space and series of linear functionals

answered Apr 29, 2018 at 22:31

3 votes

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Measurable sets in $[0,1]$

answered Aug 8, 2017 at 1:52

3 votes

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fixed point in $S^1$

answered Aug 8, 2017 at 2:54

3 votes

How to show this function is increasing?

answered Aug 11, 2017 at 4:18

3 votes

rudin real analysis chapter3 Q3

answered Aug 12, 2017 at 7:18

3 votes

Integrating $u^n/(1+u^{2n})$

answered Aug 17, 2017 at 5:11

3 votes

find a holomorphic map $f:\mathbb{D} \to\mathbb{D}$ such that $f(0)=0,f(\frac{1}{3})=0$.

answered Aug 20, 2017 at 14:42

3 votes

Accepted

Proof involving limits of functions and their derivatives

answered Sep 1, 2017 at 5:54

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168 Answers

Please help me identify these mathematicians

Solving a high school conjecture

Making sure if it is Cauchy

Showing $F(x) = 1/x \int_0^x f(t) dt$ is increasing

Prove that $A$ is unbounded (a problem in analysis)

Continuous $f:[0,1]\to\mathbb{R}$ such that $f(0)=f(1)$ and $\forall\alpha\in(0,1)\exists c\in[0,1-\alpha]|f(c)=f(c+\alpha)$?

$X$ is normal if and only if $A\subseteq U$ implies there exists $V$ such that $A\subseteq V\subseteq\overline{V}\subseteq U$

Example 7.21 and Definition 7.22 in Baby Rudin: Why is this sequence of functions not equicontinuous?

Is there an analogue of convexity for geometric mean?

Does anyone know what the series $\frac{n^x}{n!}$ converges to?

Remainder when dividing by 990: Chinese Remainder Theorem

Can a continuous, locally Lipschitz and bounded map be approximated by globally Lipschitz functions?

Solve the differential equation $x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}+(x-1)y=0$

$\lim_{x\to 0}\left\lfloor\frac{n\sin(x)} x \right\rfloor,n\in\mathbb N$

The nonwandering set

$L^p$ subspaces of $L^1$

Proving that a subspace of $\ell^1$ is bounded and closed, but not compact.

Bounded linear transformation definition clarification

$\mathcal{A} = \{(x_{1}, x_{2}, x_{3}) \in R^{3} |x_{1} = x_{2} + x_{3}\}$ is a closed convex set

How to show $\sum\limits_{n=0}^\infty \frac{{x^2}}{(1+x^2)^n}$ is uniformly convergent over $[-1,1]$.

Cauchy type equation in three variables: $ P(x) + P(y) + P(z) = P(x + y + z)$ when $xy + yz + zx = 1$

Bounded sequence in a Hilbert such that all subsequences that weakly converge do so to the same limit

A question about a sequence in a Banach Space and series of linear functionals

Measurable sets in $[0,1]$

fixed point in $S^1$

How to show this function is increasing?

rudin real analysis chapter3 Q3

Integrating $u^n/(1+u^{2n})$

find a holomorphic map $f:\mathbb{D} \to\mathbb{D}$ such that $f(0)=0,f(\frac{1}{3})=0$.

Proof involving limits of functions and their derivatives