Question

Show that there is a point $x$ on the surface such that $T(x) = T(-x)$. Hint: Represent surface of Mars as $\{x \in \mathbb{R}^{3} : \|x\| = 1 \}$

score 132 · Answer 1 · 2026-04-15 09:09:03

132

Views

Show that there is a point $x$ on the surface such that $T(x) = T(-x)$. Hint: Represent surface of Mars as $\{x \in \mathbb{R}^{3} : \|x\| = 1 \}$

Published on 15 Apr 2026 - 9:09

score 171 · Answer 2 · 2026-04-15 06:07:18

171

Views

Number of errors of $\sigma$ is the same as minimum transpositions to convert $\sigma$ to the identical permutation

Published on 15 Apr 2026 - 6:07

score 38 · Answer 3 · 2026-04-10 14:34:06

38

Views

Proof Involving Factors Of Arbitrarily Large Numbers

Published on 10 Apr 2026 - 14:34

score 190 · Answer 4 · 2026-04-13 06:51:00

190

Views

Show that there are no knotted quadrilaterals or pentagons. what knot types are represented by hexagons? by septagons?

Published on 13 Apr 2026 - 6:51

score 457 · Answer 5 · 2026-04-15 17:49:57

457

Views

How to show that the gradient of a vector field is an order 2 tensor - and what can we learn from doing it wrong?

Published on 15 Apr 2026 - 17:49

score 2.4k · Answer 6 · 2026-04-14 15:39:03

2.4k

Views

General solution of $\tan (2x)\tan (x)=1$

Published on 14 Apr 2026 - 15:39

score 299 · Answer 7 · 2026-04-12 18:17:25

299

Views

Homeomorphism between different definitions of real projective spaces.

Published on 12 Apr 2026 - 18:17

score 108 · Answer 8 · 2026-04-29 12:54:04

108

Views

Direct Sum of Sub modules and proof Verification

Published on 29 Apr 2026 - 12:54

score 38 · Answer 9 · 2026-04-11 13:43:46

38

Views

Clubbing together of solutions

Published on 11 Apr 2026 - 13:43

score 249 · Answer 10 · 2026-04-29 12:54:02

249

Views

Direct Sum Of Torsion modules and Proof Verification

Published on 29 Apr 2026 - 12:54

score 153 · Answer 11 · 2026-04-12 18:41:49

153

Views

An integer $n > 7$ has form $r + 3k,\ r \in \{8,9,10\}\ $ [remainder systems]

Published on 12 Apr 2026 - 18:41

score 495 · Answer 12 · 2026-04-11 08:35:26

495

Views

Requirements for mathematical proof

Published on 11 Apr 2026 - 8:35

score 243 · Answer 13 · 2026-04-15 14:14:07

243

Views

Prove that the equivalence of 2 knots is an equivalence relation.

Published on 15 Apr 2026 - 14:14

score 46 · Answer 14 · 2026-04-12 20:16:08

46

Views

Change of variables/substitution

Published on 12 Apr 2026 - 20:16

score 57 · Answer 15 · 2026-04-13 16:29:36

57

Views

Showing that two knots are equivalent if an invertible linear transformation maps one onto another.

Published on 13 Apr 2026 - 16:29

List Question

Show that there is a point $x$ on the surface such that $T(x) = T(-x)$. Hint: Represent surface of Mars as $\{x \in \mathbb{R}^{3} : \|x\| = 1 \}$

Number of errors of $\sigma$ is the same as minimum transpositions to convert $\sigma$ to the identical permutation

Proof Involving Factors Of Arbitrarily Large Numbers

Show that there are no knotted quadrilaterals or pentagons. what knot types are represented by hexagons? by septagons?

How to show that the gradient of a vector field is an order 2 tensor - and what can we learn from doing it wrong?

General solution of $\tan (2x)\tan (x)=1$

Homeomorphism between different definitions of real projective spaces.

Direct Sum of Sub modules and proof Verification

Clubbing together of solutions

Direct Sum Of Torsion modules and Proof Verification

An integer $n > 7$ has form $r + 3k,\ r \in \{8,9,10\}\ $ [remainder systems]

Requirements for mathematical proof

Prove that the equivalence of 2 knots is an equivalence relation.

Change of variables/substitution

Showing that two knots are equivalent if an invertible linear transformation maps one onto another.

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