User Hans Lundmark - Mathematics Stack Exchange

bio	website	mai.liu.se/~halun
	location	Linköping, Sweden
	age	43
visits	member for	2 years, 9 months
	seen	yesterday
stats	profile views	1,870

	14,508 reputation	bio	website	mai.liu.se/~halun	visits	member for	2 years, 9 months
22552 badges		location	Linköping, Sweden		seen	yesterday

101

176

votes

23

answers

7

kviews

Examples of apparent patterns that eventually fail

big-list examples-counterexamples

apr 10 at 3:04 Douglas B. Staple 1,014

85

156

votes

6

answers

4

kviews

“The Egg:” Bizarre behavior of the roots of a family of polynomials.

feb 27 at 20:28 Bruno 6,971

26

84

votes

1

answer

2

kviews

Does the open mapping theorem imply the Baire category theorem?

functional-analysis set-theory banach-spaces axiom-of-choice baire-category

dec 10 at 23:50 Pedro Lauridsen Ribeiro 37

86

81

votes

22

answers

5

kviews

List of Interesting Math Videos/ Documentaries

soft-question big-list

may 10 at 4:14 cyclochaotic 396

40

67

votes

5

answers

3

kviews

In (relatively) simple words: What is an inverse limit?

category-theory intuition universal-algebra

mar 29 at 8:55 Pieter Cuijpers 31

40

63

votes

6

answers

4

kviews

How can you prove that a function has no closed form integral?

calculus real-analysis integration differential-algebra

sep 19 at 17:52 Nils Matthes 1,082

32

60

votes

6

answers

1

kviews

Contest problem about convergent series

real-analysis sequences-and-series contest-math

nov 21 at 20:48 robjohn♦ 59.3k

10

54

votes

2

answers

2

kviews

Does this property characterize a space as Hausdorff?

general-topology

nov 14 '10 at 21:08 Arturo Magidin 158k

25

52

votes

3

answers

2

kviews

Is there an integral that proves $\pi > 333/106$?

calculus real-analysis integral approximation pi

feb 25 at 15:59 Michael Hardy 47.9k

51

47

votes

24

answers

10

kviews

Best book ever on Number Theory

number-theory soft-question big-list reference-request

feb 4 at 21:12 Andrew 1,643

23

44

votes

3

answers

3

kviews

$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis

integral complex-analysis

jun 4 '11 at 12:45 night owl 975

10

44

votes

3

answers

1

kviews

Why does the Mandelbrot set contain (slightly deformed) copies of itself?

fractals

may 4 '12 at 10:48 MathematicalOrchid 1,060

18

43

votes

12

answers

3

kviews

Conjectures that have been disproved with extremely large counterexamples?

big-list conjectures contradiction

apr 18 at 21:31 Joe K 121

23

41

votes

4

answers

2

kviews

Is there a function with a removable discontinuity at every point?

calculus real-analysis

jun 24 at 8:19 night 1

17

40

votes

1

answer

1

kviews

What's the value of this Vieta-style product involving the golden ratio?

number-theory sequences-and-series

mar 28 '11 at 11:38 Community♦ 1

21

40

votes

13

answers

2

kviews

Pseudo Proofs that are intuitively reasonable

proof-strategy big-list

dec 8 at 21:02 Elias 2,848

11

39

votes

1

answer

1

kviews

Does $|n^2 \cos n|$ diverge to $+\infty$?

sequences-and-series conjectures

apr 3 '12 at 21:22 Hurkyl 21.5k

16

39

votes

1

answer

652

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Fractal behavior along the boundary of convergence?

complex-analysis power-series plane-curves fractals

dec 22 '11 at 7:28 Robert Israel 86.2k

10

39

votes

3

answers

889

views

Is $n \sin n$ dense on the real line?

real-analysis

oct 26 at 16:10 Paxinum 1,601

16

39

votes

1

answer

1

kviews

How discontinuous can a derivative be?

real-analysis derivatives examples-counterexamples

jan 28 at 12:38 Willie Wong♦ 30.6k

22

39

votes

1

answer

1

kviews

How to determine with certainty that a function has no elementary antiderivative?

calculus proof-strategy

dec 27 at 20:20 Raymond Manzoni 15.3k

16

37

votes

2

answers

537

views

Looking for a function such that…

functional-analysis functions functional-equations

oct 15 at 21:23 asperanz 161

3

34

votes

2

answers

499

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Counting trails in a triangular grid

graph-theory combinatorics

may 7 '11 at 15:20 joriki 92.4k

10

34

votes

4

answers

1

kviews

What's the probability that a sequence of coin flips never has twice as many heads as tails?

probability

sep 20 '11 at 19:00 Mike Spivey 25.8k

15

33

votes

2

answers

1

kviews

Convergence of $\sqrt{n}x_{n}$ where $x_{n+1} = \sin(x_{n})$

sequences-and-series

jan 11 at 14:53 David Speyer 18.6k

32

31

votes

5

answers

3

kviews

Completion of rational numbers via Cauchy sequences

real-analysis reference-request

jun 13 '11 at 3:53 Community♦ 1

7

29

votes

2

answers

1

kviews

Identity for convolution of central binomial coefficients

combinatorics binomial-coefficients

apr 13 at 21:52 Marc van Leeuwen 23.7k

13

29

votes

6

answers

712

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Original works of great mathematicians

reference-request math-history big-list

nov 2 at 0:06 Ravindra Saraykar 1

12

29

votes

2

answers

3

kviews

Are there any series whose convergence is unknown?

real-analysis sequences-and-series soft-question infinity

dec 15 '11 at 23:16 George Lowther 11.5k

8

28

votes

5

answers

870

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$\lim_{n\rightarrow\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$

calculus real-analysis sequences-and-series limit

apr 16 at 21:38 Arjang 2,436

Hans Lundmark

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