User Iconoclast

49 votes

6 answers

3k views

Proving that a function is odd

real-analysis functions

asked Aug 17, 2015 at 12:44

5 votes

1 answer

302 views

Prove that $|\mathbf{v}| \leq \sqrt{n}(|v_1|+|v_2|+ \cdots +|v_n|)$

inequality

asked Oct 21, 2011 at 7:15

4 votes

1 answer

1k views

Constructing a sequence that converges to an accumulation point of a set

real-analysis general-topology

asked Oct 20, 2011 at 7:54

4 votes

2 answers

555 views

How to prove divergence of the integral $\int_{0}^{\infty}\frac{\sin(x)}{x^{2}}dx$

real-analysis integration analysis improper-integrals

asked May 1, 2014 at 18:23

4 votes

1 answer

131 views

Function compositions that are in $L^p$

real-analysis integration analysis lp-spaces

asked May 5, 2014 at 12:03

4 votes

2 answers

308 views

Threading a two-holed torus which is hanging on a string.

general-topology algebraic-topology

asked Feb 8, 2019 at 23:42

3 votes

3 answers

204 views

How to simplify $\iint \delta \left( t-\frac1c\left(\sqrt{(x_1-z_1)^2+z_2^2}-\sqrt{z_1^2+z_2^2}\right) \right)dz_1dz_2$

integration definite-integrals distribution-theory

asked Sep 22, 2016 at 16:50

2 votes

1 answer

155 views

The "computability" of fundamental physical constants

computer-science computability mathematical-physics computational-mathematics

asked Feb 8, 2014 at 16:46

2 votes

1 answer

260 views

Stationarity and Ergodicity vs. Memorylessness

probability-theory stochastic-processes information-theory ergodic-theory

asked Aug 12, 2015 at 20:47

2 votes

1 answer

322 views

Expected Value of a Random Vector over a Convex Region

probability-theory probability-distributions

asked Mar 26, 2016 at 15:47

2 votes

0 answers

82 views

Evaluating a difficult definite integral which has radicals inside Dirac deltas

integration definite-integrals distribution-theory

asked Dec 4, 2016 at 13:35

2 votes

1 answer

76 views

Rate Distortion Function for non-stationary sources

probability probability-theory stochastic-processes information-theory probability-limit-theorems

asked Mar 10, 2017 at 14:11

2 votes

1 answer

68 views

A Condition for the Integrand of an Absolutely Convergent Integral

real-analysis integration analysis

asked May 2, 2014 at 10:47

2 votes

1 answer

97 views

When does $ f'_{n}(x) \to g(x) =1$ imply $f'(x) =1 $

real-analysis analysis functional-analysis convergence-divergence

asked May 2, 2014 at 17:46

2 votes

1 answer

3k views

Prove that there exists a nearest point in a closed set $A \subset \mathbf{R}^n$ to a point outside of $A$

real-analysis multivariable-calculus

asked Oct 24, 2011 at 9:36

2 votes

1 answer

147 views

Modified M/M/1 Queue

probability stochastic-processes markov-chains markov-process queueing-theory

asked Apr 22, 2021 at 18:52

2 votes

1 answer

102 views

Limit of decreasing sequence of open sets

real-analysis measure-theory lebesgue-measure

asked Aug 29, 2021 at 12:27

2 votes

1 answer

626 views

Characterization of the epigraph of a lower semi continuous fuction

real-analysis convex-analysis limsup-and-liminf

asked Sep 18, 2018 at 16:55

2 votes

1 answer

26 views

Need to understand why measures converging to a set function gives a measure

real-analysis analysis measure-theory self-learning

asked Jun 9 at 20:12

1 vote

1 answer

53 views

Maximum size of a cube in which a cube is mapped by linear transformation in Euclidean space

analysis linear-transformations operator-theory

asked Aug 30, 2021 at 11:05

1 vote

0 answers

35 views

The union of two sigma algebra is never a sigma algebra unless one is contained in the other.

real-analysis analysis measure-theory

asked Jun 6 at 15:05

1 vote

0 answers

44 views

Understanding the isomorphism between tangent spaces and derivations

differential-geometry smooth-manifolds tangent-spaces

asked Apr 23, 2021 at 10:21

1 vote

1 answer

69 views

Finite Element Method for non-homogenous boundary conditions

partial-differential-equations numerical-methods boundary-value-problem finite-element-method

asked Apr 7, 2021 at 11:17

1 vote

1 answer

109 views

Sigma Algebra generated by null-sets.

real-analysis analysis measure-theory

asked Oct 19, 2020 at 3:20

1 vote

0 answers

81 views

Applying the Dominated Convergence Theorem for the sequence $\int _0^1 \frac{n e^{-x}}{(1+nx)^2}$

real-analysis integration measure-theory lebesgue-integral

asked Jan 8, 2021 at 13:52

1 vote

1 answer

96 views

A partial order on $\mathbb{N}$ that is not total

order-theory

asked May 27, 2019 at 19:53

1 vote

0 answers

11 views

The necessary conditions for KL expansion of stochastic processes/random fields

functional-analysis stochastic-processes operator-theory

asked Mar 25, 2018 at 18:22

1 vote

0 answers

34 views

How to prove sub-additivity of the Lebesgue measure for open sets?

real-analysis analysis measure-theory lebesgue-measure

asked Apr 22, 2018 at 9:24

1 vote

0 answers

41 views

Rank of a matrix in a matrix product

linear-algebra linear-transformations numerical-linear-algebra

asked May 23, 2018 at 13:29

1 vote

1 answer

55 views

An inequality involving limit inferior and limit superior [duplicate]

real-analysis sequences-and-series limits analysis inequality

asked May 25, 2018 at 9:16

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67 Questions

Proving that a function is odd

Prove that $|\mathbf{v}| \leq \sqrt{n}(|v_1|+|v_2|+ \cdots +|v_n|)$

Constructing a sequence that converges to an accumulation point of a set

How to prove divergence of the integral $\int_{0}^{\infty}\frac{\sin(x)}{x^{2}}dx$

Function compositions that are in $L^p$

Threading a two-holed torus which is hanging on a string.

How to simplify $\iint \delta \left( t-\frac1c\left(\sqrt{(x_1-z_1)^2+z_2^2}-\sqrt{z_1^2+z_2^2}\right) \right)dz_1dz_2$

The "computability" of fundamental physical constants

Stationarity and Ergodicity vs. Memorylessness

Expected Value of a Random Vector over a Convex Region

Evaluating a difficult definite integral which has radicals inside Dirac deltas

Rate Distortion Function for non-stationary sources

A Condition for the Integrand of an Absolutely Convergent Integral

When does $ f'_{n}(x) \to g(x) =1$ imply $f'(x) =1 $

Prove that there exists a nearest point in a closed set $A \subset \mathbf{R}^n$ to a point outside of $A$

Modified M/M/1 Queue

Limit of decreasing sequence of open sets

Characterization of the epigraph of a lower semi continuous fuction

Need to understand why measures converging to a set function gives a measure

Maximum size of a cube in which a cube is mapped by linear transformation in Euclidean space

The union of two sigma algebra is never a sigma algebra unless one is contained in the other.

Understanding the isomorphism between tangent spaces and derivations

Finite Element Method for non-homogenous boundary conditions

Sigma Algebra generated by null-sets.

Applying the Dominated Convergence Theorem for the sequence $\int _0^1 \frac{n e^{-x}}{(1+nx)^2}$

A partial order on $\mathbb{N}$ that is not total

The necessary conditions for KL expansion of stochastic processes/random fields

How to prove sub-additivity of the Lebesgue measure for open sets?

Rank of a matrix in a matrix product

An inequality involving limit inferior and limit superior [duplicate]