User Bob Pego - Mathematics Stack Exchange

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	1,130 reputation	bio	website		visits	member for	2 years, 6 months
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39

95

votes

15

answers

5

kviews

In the history of mathematics, has there ever been a mistake?

math-history fake-proofs

apr 28 at 18:46 Pete L. Clark 44.3k

26

84

votes

1

answer

2

kviews

Does the open mapping theorem imply the Baire category theorem?

dec 10 at 23:50 Pedro Lauridsen Ribeiro 37

38

56

votes

8

answers

2

kviews

Self-Contained Proof that $\sum\limits_{n=1}^{\infty} \frac1{n^p}$ Converges for $p > 1$

calculus real-analysis sequences-and-series

sep 24 at 6:50 chatur 117

11

44

votes

3

answers

2

kviews

Cute Determinant Question

linear-algebra determinant

jul 30 at 9:55 J. M. 38.8k

19

39

votes

1

answer

569

views

A discrete math riddle

discrete-mathematics puzzle pigeonhole-principle

feb 19 at 20:34 yohBS 1,538

13

34

votes

5

answers

1

kviews

Convergence/Divergence of infinite series $\sum_{n=1}^{\infty} \frac{(\sin(n)+2)^n}{n3^n}$

calculus real-analysis sequences-and-series

feb 21 at 3:01 Andres Caicedo 24.4k

17

22

votes

4

answers

1

kviews

Mind maps of Advanced Mathematics and various branches thereof

big-list education

mar 9 at 14:22 Herband 406

7

21

votes

4

answers

665

views

Correspondences between Borel algebras and topological spaces

general-topology measure-theory descriptive-set-theory

dec 27 '11 at 0:14 Michael Greinecker 12.4k

8

21

votes

1

answer

444

views

Rolling a Sphere on the Plane

geometry

apr 26 '11 at 4:57 joriki 92.1k

11

18

votes

4

answers

2

kviews

Teaching Introductory Real Analysis

analysis teaching

jul 15 '11 at 22:19 Pete L. Clark 44.3k

9

17

votes

6

answers

1

kviews

$f\colon\mathbb{R}\to\mathbb{R}$ such that $f(x)+f(f(x))=x^2$ for all $x$?

real-analysis functional-equations

dec 7 '11 at 0:19 Community♦ 1

5

15

votes

1

answer

344

views

“Converse” of Taylor's theorem

calculus real-analysis functions derivatives

feb 10 '12 at 2:15 Noah Stein 1,861

8

14

votes

2

answers

333

views

Increasing orthogonal functions

functional-analysis functions

mar 7 at 20:26 Ewan Delanoy 8,168

3

13

votes

3

answers

314

views

Does there exist a 3-dimensional subspace of real functions consisting only of monotone functions?

linear-algebra real-analysis

jun 11 '12 at 20:22 Martin Sleziak 20.3k

4

13

votes

1

answer

525

views

Is there a constructive proof of this characterization of $\ell^2$?

sequences-and-series functional-analysis hilbert-spaces

aug 21 '11 at 11:14 t.b. 43.1k

4

12

votes

2

answers

441

views

Zeroes of the third derivative of an iterated sine.

real-analysis sequences-and-series trigonometry recurrence-relations derivatives

feb 19 '12 at 9:25 Christian Blatter 32.3k

3

12

votes

3

answers

1

kviews

The Laplace transform of the first hitting time of Brownian motion

measure-theory probability-theory stochastic-processes martingales brownian-motion

may 19 '12 at 13:53 Did 102k

3

11

votes

2

answers

413

views

Frullani proof integrals

real-analysis integral

jan 16 at 22:46 mrf 8,137

2

11

votes

2

answers

175

views

Can every real function be represented as two shifted even functions?

functions functional-equations

apr 23 '11 at 15:23 André Nicolas 160k

1

10

votes

2

answers

318

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very elementary proof of Maxwell's theorem

probability-distributions functional-equations

feb 4 '12 at 19:01 Michael Hardy 47.7k

4

10

votes

1

answer

240

views

Spectrum of composition of convolution and multiplication

analysis functional-analysis

apr 22 '12 at 8:09 Community♦ 1

2

9

votes

1

answer

716

views

Proving Minkowski's inequality with homogenization

real-analysis inequality

jul 2 '11 at 1:09 t.b. 43.1k

3

9

votes

2

answers

374

views

viscosity solution vs. weak solution

pde

jul 11 at 22:39 Thomas Klimpel 1,784

5

9

votes

0

answers

275

views

Osgood condition

real-analysis functional-analysis differential-equations

apr 23 at 1:55 Landscape 7,602

3

9

votes

1

answer

229

views

Origin of the name 'test functions'

functional-analysis terminology math-history pde distribution-theory

jun 25 '11 at 11:54 t.b. 43.1k

3

9

votes

1

answer

642

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how to prove a bounded linear operator is compact?

homework functional-analysis compact-operators

mar 15 '12 at 13:47 Norbert 19.8k

3

8

votes

1

answer

172

views

Does the series of squares of Legendre polynomials converge?

sequences-and-series special-functions

mar 12 '12 at 23:16 Bob Pego 1,130

1

6

votes

1

answer

146

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Puzzle: Can you find an elementary proof that every $n \gt 6$ can be represented as a sum of $O(\log n)$ distinct primes?

elementary-number-theory prime-numbers puzzle

oct 11 '11 at 4:22 Charles 8,720

2

6

votes

2

answers

94

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What operations is this asymptotic relation closed under?

asymptotics

oct 11 '11 at 4:00 Bob Pego 1,130

1

6

votes

1

answer

146

views

Natural question about weak convergence.

analysis functional-analysis convergence sobolev-spaces weak-convergence

apr 25 at 17:59 Community♦ 1

Bob Pego

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