Question

Could anybody please check my proof about connected graph?

score 245 · Answer 1 · 2016-05-20 06:25:46

245

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Could anybody please check my proof about connected graph?

Published on 20 May 2016 - 6:25

score 219 · Answer 2 · 2016-05-21 18:16:25

219

Views

Constructing topology on $\Bbb{Z}$

Published on 21 May 2016 - 18:16

score 168 · Answer 3 · 2026-04-07 19:36:04

168

Views

Show that $(a + b)^4 + (a + c)^4 + (a + d)^4 + (b + c)^4 + (b + d)^4 + (c + d)^4 \le 6$ for $a^2 + b^2 + c^2 + d^2 = 1$.

Published on 07 Apr 2026 - 19:36

score 185 · Answer 4 · 2016-05-22 08:08:51

185

Views

Check my proof on showing a graph with each vertex's degree at least $e$ has every tree with $e$ edges a subgraph

Published on 22 May 2016 - 8:08

score 222 · Answer 5 · 2016-05-22 15:41:04

222

Views

Convexity of the field of values

Published on 22 May 2016 - 15:41

score 36 · Answer 6 · 2016-05-22 16:34:41

36

Views

Is $h(x)=\left(x^2; 1_{[0,\infty)}(x)\right)$ an injective function?

Published on 22 May 2016 - 16:34

score 129 · Answer 7 · 2016-05-22 18:30:54

129

Views

$f$ is bijective, show that $h(x)=\left(f(x); g(x)\right) \rm{\ is\ bijective\ } \iff G $ is Singleton

Published on 22 May 2016 - 18:30

score 47 · Answer 8 · 2016-05-23 06:26:02

47

Views

How to improve my proof and whether or not one condition in the statement is important in writing the proof?

Published on 23 May 2016 - 6:26

score 35 · Answer 9 · 2016-05-23 16:28:12

35

Views

Proving three asymptotic identities (Murray (1984)'s Exercise 1.1.4)

Published on 23 May 2016 - 16:28

score 113 · Answer 10 · 2016-05-23 21:50:15

113

Views

Proof by induction of Gronwall's inequality

Published on 23 May 2016 - 21:50

score 799 · Answer 11 · 2016-05-25 15:16:07

799

Views

Example to show that unconditional convergence does not imply absolute convergence in infinite-dimensional normed spaces.

Published on 25 May 2016 - 15:16

score 536 · Answer 12 · 2026-03-30 17:15:45

536

Views

Shortest proof for showing $\mathbb{Z}[\frac{1+\sqrt{-19}}{2}]$ is a PID.

Published on 30 Mar 2026 - 17:15

score 144 · Answer 13 · 2016-05-27 05:51:07

144

Views

Elegant proof of an elementary result in Linear Algebra

Published on 27 May 2016 - 5:51

score 1.7k · Answer 14 · 2026-03-26 22:13:33

1.7k

Views

Proof of Tychonoff's Theorem for an undergrad

Published on 26 Mar 2026 - 22:13

score 127 · Answer 15 · 2026-04-08 06:28:16

127

Views

Alternate proof of the integral: $\int_0^1 x^x(1-x)^{2x}\,dx\neq3/8$

Published on 08 Apr 2026 - 6:28

List Question

Could anybody please check my proof about connected graph?

Constructing topology on $\Bbb{Z}$

Show that $(a + b)^4 + (a + c)^4 + (a + d)^4 + (b + c)^4 + (b + d)^4 + (c + d)^4 \le 6$ for $a^2 + b^2 + c^2 + d^2 = 1$.

Check my proof on showing a graph with each vertex's degree at least $e$ has every tree with $e$ edges a subgraph

Convexity of the field of values

Is $h(x)=\left(x^2; 1_{[0,\infty)}(x)\right)$ an injective function?

$f$ is bijective, show that $h(x)=\left(f(x); g(x)\right) \rm{\ is\ bijective\ } \iff G $ is Singleton

How to improve my proof and whether or not one condition in the statement is important in writing the proof?

Proving three asymptotic identities (Murray (1984)'s Exercise 1.1.4)

Proof by induction of Gronwall's inequality

Example to show that unconditional convergence does not imply absolute convergence in infinite-dimensional normed spaces.

Shortest proof for showing $\mathbb{Z}[\frac{1+\sqrt{-19}}{2}]$ is a PID.

Elegant proof of an elementary result in Linear Algebra

Proof of Tychonoff's Theorem for an undergrad

Alternate proof of the integral: $\int_0^1 x^x(1-x)^{2x}\,dx\neq3/8$

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