User nikita2 - Mathematics Stack Exchange

bio	website	mathkonspekt.tumblr.com
	location	Russia
	age
visits	member for	1 year, 3 months
	seen	7 hours ago
stats	profile views	104

	465 reputation	bio	website	mathkonspekt.tumblr.com	visits	member for	1 year, 3 months
113 badges		location	Russia		seen	7 hours ago

103

205

votes

33

answers

17

kviews

Do complex numbers really exist?

may 5 at 4:54 l19 115

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

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

9

22

votes

6

answers

849

views

Where do Cantor sets naturally occur?

analysis descriptive-set-theory

dec 30 at 23:39 John D. Cook 2,842

6

13

votes

4

answers

709

views

Showing that $\frac{\sqrt[n]{n!}}{n}$ $\rightarrow \frac{1}{e}$

homework sequences-and-series

jan 8 at 2:16 André Nicolas 160k

3

13

votes

4

answers

323

views

How would you explain why $e^{i\pi}+1=0$ to a middle school student?

complex-numbers intuition

mar 10 at 16:15 user1762507 113

2

12

votes

2

answers

623

views

Inverse function of $y=\frac{\ln(x+1)}{\ln x}$

functions polynomials galois-theory

dec 21 at 8:38 Mario Carneiro 2,826

2

12

votes

1

answer

180

views

Zeroes of derivatives of high order

derivatives

apr 5 '12 at 13:40 joriki 92.2k

3

12

votes

0

answers

807

views

When is the image of a null set also null?

general-topology analysis measure-theory

sep 14 at 10:13 Ricardo Buring 144

1

12

votes

1

answer

414

views

smoothing a Sobolev function

analysis sobolev-spaces

may 15 at 8:04 Community♦ 1

2

9

votes

3

answers

264

views

Definition of $L^0$ space

real-analysis

dec 28 at 22:09 Jonas Teuwen 6,856

2

8

votes

2

answers

212

views

Summation of complex numbers

homework algebra-precalculus complex-numbers

jun 3 '11 at 9:20 mathguy80 526

1

7

votes

1

answer

255

views

Why is $i$ called “imaginary”?

soft-question terminology complex-numbers math-history

oct 14 '11 at 4:14 Michael Hardy 47.9k

2

7

votes

2

answers

227

views

How to show a complex number inequality

inequality complex-numbers

nov 22 '11 at 13:31 Srivatsan 15.6k

1

7

votes

2

answers

78

views

How to show that $\overline{zw}=\overline{z}\,\overline{w}$?

complex-numbers

may 11 at 1:29 par 433

4

7

votes

2

answers

90

views

$C[0,1]$ is complete w.r.t. which norm(s)

real-analysis normed-spaces

may 17 at 10:33 Taxi Driver 7,223

2

7

votes

2

answers

412

views

Find missing number from sum of first few natural numbers

puzzle

dec 26 at 5:42 Michael Albanese 4,658

7

votes

1

answer

170

views

Additivity + Measurability $\implies$ Continuity

measure-theory

mar 4 at 18:14 Avatar 8,335

2

6

votes

1

answer

135

views

Complex roots of $z^6 + z^3 + 1 = 0$

complex-analysis complex-numbers

mar 11 at 1:17 noobProgrammer 156

5

6

votes

1

answer

124

views

Prove that every element of $a_{n+2013}=\frac{a_{n+1}a_{n+2}…a_{n+2012}+1}{a_n}$ is an integer

sequences-and-series recurrence-relations

mar 26 at 16:16 Ivan Loh 6,563

1

5

votes

1

answer

299

views

proving $f$ is absolutely continuous on $[0,1]$

real-analysis continuity bounded-variation

apr 2 at 14:56 Ludolila 595

1

5

votes

2

answers

78

views

If $\left |z-3\right |=\left |z+i\right |$, where $z=x+iy$, prove that $3x+y=4$

complex-numbers analytic-geometry

mar 24 at 10:51 user1551 16.6k

1

5

votes

5

answers

110

views

Complex numbers and trig identities. I've heard this question is easy but I don't know how. Help?

trigonometry complex-numbers

mar 25 at 7:00 nikita2 465

2

5

votes

1

answer

136

views

Capacity theory beginner resources

reference-request functional-analysis pde self-learning

mar 30 at 5:30 Martin 3,688

1

5

votes

1

answer

137

views

Function in $H^1(\Omega)$ which cannot be extended to a greater Sobolev Space

pde sobolev-spaces

oct 6 '11 at 20:59 Davide Giraudo 56.1k

3

5

votes

7

answers

442

views

Is $0^0=1$ postulate independent of all other axioms of complex numbers?

complex-numbers arithmetic exponentiation

nov 4 at 20:54 Hagen von Eitzen 41.9k

5

votes

4

answers

320

views

Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$

complex-analysis integral integration logarithms contour-integration

apr 24 at 14:17 Ron Gordon 26.1k

3

4

votes

6

answers

894

views

Plot $|z - i| + |z + i| = 16$ on the complex plane

complex-numbers graphing-functions conic-sections

apr 18 '12 at 12:58 J. M. 38.9k

1

4

votes

1

answer

140

views

Complex number inequality?

inequality complex-numbers

dec 29 '11 at 8:32 Paul 8,672

2

4

votes

1

answer

149

views

If $|z| \leq \pi/2$ and $|\sin z| \leq 1/4$, then $|z| \leq (4 \sin(1/4))^{-1} |\sin z|$

trigonometry inequality complex-numbers

jul 9 '11 at 7:41 Andrew 4,920

nikita2

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