User Mark - Mathematics Stack Exchange

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4

11

votes

2

answers

212

views

Working habits in mathematics

soft-question

apr 28 at 18:02 Mark 620

1

7

votes

1

answer

92

views

The collection of pathological examples in one reference - Reference request

reference-request soft-question

mar 4 at 12:58 Mark 620

4

votes

1

answer

399

views

If $f_n \geq 0$ and $f_n \to f$ in measure, then $\int f \leq \liminf \int f_n$

real-analysis measure-theory

jan 13 at 18:53 Ayman Hourieh 11.2k

2

4

votes

2

answers

159

views

What does it mean $\int_a^b f(G(x)) dG(x)$? - An exercise question on measure theory

real-analysis measure-theory

jan 2 at 0:34 Adam Saltz 1,203

4

votes

0

answers

80

views

An exercise about the regular Borel measures

homework measure-theory

dec 19 at 21:14 Mark 620

4

votes

1

answer

102

views

What does it mean $\lim_{n \to \infty} f_n$?

real-analysis

nov 7 at 19:42 kahen 8,064

3

votes

2

answers

102

views

A theorem concerning unique linear mapping between vector spaces: What does it say?

linear-algebra vector-spaces

jan 29 at 1:28 user1551 16.7k

3

votes

2

answers

69

views

Why: $f_n = \mathbb{1}_{(n,n+1)} \to 0$ pointwise?

real-analysis measure-theory

jan 12 at 1:10 Hurkyl 21.5k

3

votes

2

answers

210

views

Exercises on $\inf$, $\sup$, $\liminf$ and $\limsup$

real-analysis reference-request

jan 7 at 1:39 amWhy 55k

3

votes

4

answers

72

views

Different equivalence relations of the set $\{a,b\}$

relations

dec 15 at 18:30 amWhy 55k

1

3

votes

0

answers

62

views

The concept of premeasure

measure-theory

nov 26 at 10:18 Mark 620

3

votes

1

answer

72

views

What is the difference between these two convergence notations: $f_n \to f$ and $f_n \nearrow f$ or $f_n \searrow f$

real-analysis notation convergence

nov 13 at 7:55 Charles Stewart 1,847

3

votes

1

answer

163

views

An exercise about semifinite measures

measure-theory

nov 11 at 16:06 Landscape 7,740

2

votes

2

answers

87

views

A matrix algebra question

linear-algebra matrices

feb 1 at 19:49 dineshdileep 2,151

1

2

votes

1

answer

98

views

If $\mu(X)<\infty$ then $f \in L^1(\mu)$ and $\int f_n \to \int f$ - An exercise question

real-analysis measure-theory

jan 11 at 21:37 Did 103k

2

votes

3

answers

338

views

Prove that the intersection of two equivalence relations is an equivalence relation.

proof-writing relations equivalence-relations

dec 16 at 18:01 amWhy 55k

2

votes

3

answers

116

views

Show that: $\mu\left(\bigcup_N \bigcap_{n=N}^{\infty} A_n \right) \leq \lim \inf \mu(A_n)$

real-analysis measure-theory

nov 13 at 8:18 Norbert 20.5k

2

votes

1

answer

212

views

Prove that: Every $\sigma$-finite measure is semifinite.

measure-theory

nov 11 at 15:37 Mark 620

2

votes

1

answer

80

views

Continuity from below and above

measure-theory

nov 10 at 18:05 Davide Giraudo 56.3k

2

votes

3

answers

150

views

The interpretation of $0 \cdot \infty$

measure-theory

nov 10 at 16:57 Andreas Blass 7,138

2

votes

1

answer

118

views

A question about an exercise on measure theory

homework real-analysis measure-theory

nov 7 at 22:43 Davide Giraudo 56.3k

2

votes

1

answer

74

views

What does it mean that a function is greater than the other?

calculus

nov 7 at 19:11 Hagen von Eitzen 42.7k

1

vote

1

answer

86

views

A homogeneous system $Ax = 0$ with $\det(A) = 0$?

linear-algebra

mar 4 at 15:33 Cameron Buie 27.6k

1

vote

1

answer

39

views

Well-definedness of a linear mapping

linear-algebra vector-spaces

jan 30 at 23:39 Asaf Karagila 91.4k

1

vote

5

answers

98

views

Evaluating: $\int_0^{\infty} \frac{1}{t^2} dt$

calculus improper-integrals

jan 15 at 21:19 experimentX 3,528

1

vote

1

answer

130

views

An exercise concerning Borel measurability and continuity

real-analysis measure-theory

jan 13 at 14:03 Martin 3,750

1

vote

1

answer

83

views

Prove that: $\nu \ll \mu$ iff $|\nu| \ll \mu$

real-analysis measure-theory

jan 13 at 11:25 Ayman Hourieh 11.2k

1

vote

1

answer

90

views

Let $\mu$ be counting measure on $\mathbb{N}$. Then $f_n \to f$ in measure iff $f_n \to f$ uniformly.

homework measure-theory

nov 22 at 22:47 Davide Giraudo 56.3k

1

vote

1

answer

106

views

What is a support function: $\sup_{z \in K} \langle z, x \rangle$?

convex-analysis

nov 15 at 16:33 tibL 405

1

vote

3

answers

143

views

If $f_n \to f$ pointwise and $f_n$'s are measurable, then is $f$ measurable?

real-analysis measure-theory

nov 14 at 19:06 Gautam Shenoy 2,309

Mark

44 Questions