Question

How does an isosceles triangle minimize distance?

score 157 · Answer 1 · 2020-03-30 12:34:40

157

Views

How does an isosceles triangle minimize distance?

Published on 30 Mar 2020 - 12:34

score 688 · Answer 2 · 2020-03-30 13:28:42

688

Views

$T:V \rightarrow W$ be a linear map and $v_1...v_n$ be basis for $V$. Prove $\{T(v_1)...(T(v_n\}$ is basis for range(T). Is this proof correct?

Published on 30 Mar 2020 - 13:28

score 69 · Answer 3 · 2020-03-31 06:59:58

69

Views

Check my argument for this proof for Quotient Rule (limits)

Published on 31 Mar 2020 - 6:59

score 312 · Answer 4 · 2020-04-01 04:05:53

What are the two other Sylow $2$-subgroups of $S_4$ besides $H=\{(1),(12),(34),(12)(34),(13)(24),(14)(23),(1324),(1423)\}.$ A different method please?

score 169 · Answer 5 · 2020-04-01 13:13:38

169

Views

Distances from Morley triangle to edges of the original triangle

Published on 01 Apr 2020 - 13:13

score 47 · Answer 6 · 2026-03-26 09:49:57

47

Views

Prove that : $\prod_{cyc}(2a^2+2b^2-c^2)\prod_{cyc}(a+b-c)\leq a^2b^2c^2(a+b+c)^3$

Published on 26 Mar 2026 - 9:49

score 308 · Answer 7 · 2026-03-25 06:06:27

308

Views

Does this $(x+y)^2\ge 4xy$ hold for all real $x$ and $y$ - not only for non-negative?

Published on 25 Mar 2026 - 6:06

score 138 · Answer 8 · 2026-03-25 06:06:58

138

Views

Prove $\frac{1+a^2}{1-a^2}+\frac{1+b^2}{1-b^2}+\frac{1+c^2}{1-c^2}\ge \frac{15}{4}$

Published on 25 Mar 2026 - 6:06

score 454 · Answer 9 · 2020-04-04 17:15:36

454

Views

Questionable Proof in Visual Complex Analysis

Published on 04 Apr 2020 - 17:15

score 70 · Answer 10 · 2020-04-04 21:48:23

70

Views

if $\sum a_n$ is a divergent series of positive terms then so is $\sum \sqrt{a_n}$

Published on 04 Apr 2020 - 21:48

score 141 · Answer 11 · 2020-04-05 21:40:31

141

Views

Debunking issue in proving $ \sqrt2 $ is irrational

Published on 05 Apr 2020 - 21:40

score 50 · Answer 12 · 2020-04-06 00:06:27

50

Views

Does $\ \sin \left(\frac{(k\pi)^2}{x+k\pi}\right)\ {\to \sin(x)}\ $ as odd integers $\ k { \to } \infty$?

Published on 06 Apr 2020 - 0:06

score 36 · Answer 13 · 2020-04-06 23:36:11

36

Views

proof verification - limit and infinite series

Published on 06 Apr 2020 - 23:36

score 80 · Answer 14 · 2020-04-07 20:49:54

80

Views

Showing $(A\triangle B)\subseteq C$ iff $A\cup C=B\cup C$ (using logical equivalence only).

Published on 07 Apr 2020 - 20:49

score 22 · Answer 15 · 2020-04-08 15:37:49

22

Views

System of Equations involving complex lying on unit circle

Published on 08 Apr 2020 - 15:37

List Question

How does an isosceles triangle minimize distance?

$T:V \rightarrow W$ be a linear map and $v_1...v_n$ be basis for $V$. Prove $\{T(v_1)...(T(v_n\}$ is basis for range(T). Is this proof correct?

Check my argument for this proof for Quotient Rule (limits)

What are the two other Sylow $2$-subgroups of $S_4$ besides $H=\{(1),(12),(34),(12)(34),(13)(24),(14)(23),(1324),(1423)\}.$ A different method please?

Distances from Morley triangle to edges of the original triangle

Prove that : $\prod_{cyc}(2a^2+2b^2-c^2)\prod_{cyc}(a+b-c)\leq a^2b^2c^2(a+b+c)^3$

Does this $(x+y)^2\ge 4xy$ hold for all real $x$ and $y$ - not only for non-negative?

Prove $\frac{1+a^2}{1-a^2}+\frac{1+b^2}{1-b^2}+\frac{1+c^2}{1-c^2}\ge \frac{15}{4}$

Questionable Proof in Visual Complex Analysis

if $\sum a_n$ is a divergent series of positive terms then so is $\sum \sqrt{a_n}$

Debunking issue in proving $ \sqrt2 $ is irrational

Does $\ \sin \left(\frac{(k\pi)^2}{x+k\pi}\right)\ {\to \sin(x)}\ $ as odd integers $\ k { \to } \infty$?

proof verification - limit and infinite series

Showing $(A\triangle B)\subseteq C$ iff $A\cup C=B\cup C$ (using logical equivalence only).

System of Equations involving complex lying on unit circle

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