User Don Draper

4 votes

3 answers

292 views

How to find a Lyapunov function in this case?

ordinary-differential-equations stability-theory lyapunov-functions

asked Jun 1, 2021 at 17:20

3 votes

3 answers

86 views

Find all complex numbers satisfying $z\cdot\bar{z}=41$, for which $|z-9|+|z-9i|$ has the minimum value

complex-analysis complex-numbers conic-sections

asked Jul 5, 2018 at 9:28

3 votes

2 answers

237 views

Cauchy a.e. implies existence of a measurable function to which this sequence converges a.e

real-analysis measure-theory lebesgue-measure

asked Jan 28, 2019 at 15:14

3 votes

2 answers

530 views

Is this a Riemann sum (if so, I can't figure out which one)?

limits riemann-sum

asked Feb 16, 2019 at 14:31

3 votes

1 answer

76 views

Please help me understand the following transition in the limit

sequences-and-series limits summation

asked Jun 25, 2019 at 17:35

2 votes

1 answer

386 views

Convergence in Egorov's theorem

real-analysis measure-theory lebesgue-integral lebesgue-measure

asked Feb 6, 2019 at 19:04

2 votes

3 answers

108 views

Calculate the limit including binomial coefficients

calculus limits summation binomial-coefficients

asked Jun 11, 2019 at 5:26

2 votes

3 answers

89 views

Prove there exists some $x_0$ for a differentiable function

real-analysis calculus ordinary-differential-equations derivatives

asked Jun 11, 2019 at 17:15

2 votes

1 answer

28 views

Counting dissimilar championship outcomes

combinatorics discrete-mathematics

asked Jun 21, 2019 at 11:55

2 votes

3 answers

85 views

Logarithmic inequality (looking for a better solution)

algebra-precalculus inequality logarithms

asked Jul 11, 2019 at 10:55

2 votes

2 answers

142 views

Is this a proper way of using L'Hôpital's rule?

calculus limits definite-integrals

asked Jan 25, 2020 at 11:20

2 votes

2 answers

353 views

Using the Lebesgue dominated convergence theorem

measure-theory lebesgue-integral lebesgue-measure

asked Jan 28, 2019 at 12:01

2 votes

2 answers

133 views

Calculate $\lim\limits_{n\to\infty}\sum\limits_{0\leqslant k\leqslant2n}\frac k{k+n^2}$ using Riemann sums [duplicate]

limits definite-integrals riemann-sum

asked Aug 22, 2018 at 9:52

2 votes

1 answer

65 views

Construct an example of a composition

real-analysis integration

asked Oct 11, 2018 at 9:48

2 votes

1 answer

235 views

Prove Lebesgue integrability for an (almost) trigonometric function

measure-theory lebesgue-integral lebesgue-measure

asked Jan 17, 2019 at 17:42

2 votes

2 answers

96 views

Prove that this set of points is finite or countable

elementary-set-theory real-numbers

asked Jun 4, 2021 at 6:59

2 votes

1 answer

103 views

Probability that a randomly selected card is an ace (Bayes theorem)

probability combinatorics

asked Jun 23, 2019 at 11:09

1 vote

0 answers

85 views

Solving a differential equation with generalized functions

analysis mathematical-physics

asked Jan 21, 2019 at 13:29

1 vote

1 answer

35 views

Manipulations with convergence a.e.

continuity almost-everywhere pointwise-convergence

asked Dec 25, 2018 at 12:50

1 vote

1 answer

197 views

Prove Lebesgue integrability

measure-theory lebesgue-integral lebesgue-measure

asked Dec 25, 2018 at 16:17

1 vote

1 answer

368 views

Prove that the Cauchy - Schwarz inequality is true for complex valued functions

real-analysis integration complex-analysis

asked Oct 11, 2018 at 9:27

1 vote

1 answer

41 views

Prove that this system of subsets is a $\sigma$ algebra

measure-theory

asked Jan 28, 2019 at 19:12

1 vote

1 answer

1k views

An example of Lebesgue integration

measure-theory lebesgue-integral lebesgue-measure

asked Feb 2, 2019 at 12:36

1 vote

2 answers

43 views

Express $\{f\leq c\}$ as a countable intersection

real-analysis measure-theory elementary-set-theory

asked Feb 6, 2019 at 11:39

1 vote

1 answer

87 views

Geometric probability (dealing with integer numbers)

probability probability-theory

asked Jan 10, 2020 at 14:56

1 vote

2 answers

570 views

Number of pairs of distinct strings with length $L$ and $K$ distinct characters

combinatorics

asked Aug 5, 2019 at 10:55

1 vote

1 answer

110 views

Find the minimum positive root of $\sin{3x}=a$ ($a>0)$, given that there exist two roots differing by $\frac{\pi}{4}$.

algebra-precalculus trigonometry

asked Aug 7, 2019 at 16:07

1 vote

0 answers

47 views

Check whether two trees given by their adjacency matrices are isomorphic

discrete-mathematics graph-theory algorithms trees

asked Oct 21, 2019 at 19:41

1 vote

1 answer

41 views

Find out whether the game is fair [closed]

probability probability-theory

asked Jun 22, 2019 at 8:37

1 vote

1 answer

277 views

Using the Maclaurin series when calculating limits

calculus limits taylor-expansion

asked Feb 22, 2019 at 5:56

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44 Questions

How to find a Lyapunov function in this case?

Find all complex numbers satisfying $z\cdot\bar{z}=41$, for which $|z-9|+|z-9i|$ has the minimum value

Cauchy a.e. implies existence of a measurable function to which this sequence converges a.e

Is this a Riemann sum (if so, I can't figure out which one)?

Please help me understand the following transition in the limit

Convergence in Egorov's theorem

Calculate the limit including binomial coefficients

Prove there exists some $x_0$ for a differentiable function

Counting dissimilar championship outcomes

Logarithmic inequality (looking for a better solution)

Is this a proper way of using L'Hôpital's rule?

Using the Lebesgue dominated convergence theorem

Calculate $\lim\limits_{n\to\infty}\sum\limits_{0\leqslant k\leqslant2n}\frac k{k+n^2}$ using Riemann sums [duplicate]

Construct an example of a composition

Prove Lebesgue integrability for an (almost) trigonometric function

Prove that this set of points is finite or countable

Probability that a randomly selected card is an ace (Bayes theorem)

Solving a differential equation with generalized functions

Manipulations with convergence a.e.

Prove Lebesgue integrability

Prove that the Cauchy - Schwarz inequality is true for complex valued functions

Prove that this system of subsets is a $\sigma$ algebra

An example of Lebesgue integration

Express $\{f\leq c\}$ as a countable intersection

Geometric probability (dealing with integer numbers)

Number of pairs of distinct strings with length $L$ and $K$ distinct characters

Find the minimum positive root of $\sin{3x}=a$ ($a>0)$, given that there exist two roots differing by $\frac{\pi}{4}$.

Check whether two trees given by their adjacency matrices are isomorphic

Find out whether the game is fair [closed]

Using the Maclaurin series when calculating limits