Question

Problem with proof from Pugh's Analysis book on the presence of both rationals and irrationals in every interval

score 177 · Answer 1 · 2026-04-11 10:28:55

177

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Problem with proof from Pugh's Analysis book on the presence of both rationals and irrationals in every interval

Published on 11 Apr 2026 - 10:28

score 47 · Answer 2 · 2026-04-15 08:36:42

47

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Supremum Proof:

Published on 15 Apr 2026 - 8:36

score 198 · Answer 3 · 2026-04-15 11:59:10

198

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How many numbers made out of 5 distinct digits contain 4 and are even

Published on 15 Apr 2026 - 11:59

score 46 · Answer 4 · 2026-04-16 07:23:41

46

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A pair of two digit numbers $ab = x$ and $cd = y$ is called romantic if $a + b = cd$ and $c + d = ab$. Are there even romantic numbers?

Published on 16 Apr 2026 - 7:23

score 153 · Answer 5 · 2026-04-17 13:40:35

153

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Convergence of the series $\sum_n \frac{n^{\log(n)}}{\log(n)^n}$

Published on 17 Apr 2026 - 13:40

score 90 · Answer 6 · 2026-04-16 14:19:12

90

Views

$f(a)=g(a)$ for $a$ in a dense set implies $f(x)=g(x)$.

Published on 16 Apr 2026 - 14:19

score 49 · Answer 7 · 2026-04-16 13:07:13

49

Views

Prove For each integer $n \ge 1$ $\sum_{i=1}^{n} i^2=\frac{n(n+1)(2n+1)}{6}$

Published on 16 Apr 2026 - 13:07

score 1.5k · Answer 8 · 2026-04-14 00:29:51

1.5k

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Find the final tableau knowing the optimal solution

Published on 14 Apr 2026 - 0:29

score 1.3k · Answer 9 · 2026-04-14 21:53:27

1.3k

Views

Prove that $\lim_{x \to 0^+} \sin(\frac{1}{x})$ does not exist

Published on 14 Apr 2026 - 21:53

score 123 · Answer 10 · 2026-04-11 20:16:03

123

Views

How to to turn round robin word problem into formal argument?

Published on 11 Apr 2026 - 20:16

score 97 · Answer 11 · 2026-04-14 08:31:04

97

Views

Show the hypercube $[a,b]^n$ is closed

Published on 14 Apr 2026 - 8:31

score 164 · Answer 12 · 2026-04-12 09:41:50

164

Views

Outer measure must be defined with countably infinite cubes.

Published on 12 Apr 2026 - 9:41

score 642 · Answer 13 · 2026-04-16 00:44:20

642

Views

Prove that x + $\frac{9}{x}$ $\ge$ 6 for all real numbers x $>$ 0

Published on 16 Apr 2026 - 0:44

score 80 · Answer 14 · 2026-04-11 20:26:11

80

Views

Prove that if it is possible to divide the software engineers into two teams

Published on 11 Apr 2026 - 20:26

score 255 · Answer 15 · 2026-04-09 03:42:06

255

Views

Root of resultant if and only if common root

Published on 09 Apr 2026 - 3:42

List Question

Problem with proof from Pugh's Analysis book on the presence of both rationals and irrationals in every interval

Supremum Proof:

How many numbers made out of 5 distinct digits contain 4 and are even

A pair of two digit numbers $ab = x$ and $cd = y$ is called romantic if $a + b = cd$ and $c + d = ab$. Are there even romantic numbers?

Convergence of the series $\sum_n \frac{n^{\log(n)}}{\log(n)^n}$

$f(a)=g(a)$ for $a$ in a dense set implies $f(x)=g(x)$.

Prove For each integer $n \ge 1$ $\sum_{i=1}^{n} i^2=\frac{n(n+1)(2n+1)}{6}$

Find the final tableau knowing the optimal solution

Prove that $\lim_{x \to 0^+} \sin(\frac{1}{x})$ does not exist

How to to turn round robin word problem into formal argument?

Show the hypercube $[a,b]^n$ is closed

Outer measure must be defined with countably infinite cubes.

Prove that x + $\frac{9}{x}$ $\ge$ 6 for all real numbers x $>$ 0

Prove that if it is possible to divide the software engineers into two teams

Root of resultant if and only if common root

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