Question

Prove that if $(X,⊥)$ is abelian then for any permutation $σ$ the equality $x_{σ(1)}⊥...⊥x_{σ(n)}=x_1⊥...⊥x_n$ holds.

score 84 · Answer 1 · 2026-04-16 12:14:30

84

Views

Prove that if $(X,⊥)$ is abelian then for any permutation $σ$ the equality $x_{σ(1)}⊥...⊥x_{σ(n)}=x_1⊥...⊥x_n$ holds.

Published on 16 Apr 2026 - 12:14

score 86 · Answer 2 · 2026-04-16 00:41:02

86

Views

Prove that regions formed by a planar map vertices even degree can be colored with two colors such that no two neighboring regions have the same color

Published on 16 Apr 2026 - 0:41

score 42 · Answer 3 · 2026-04-12 12:30:36

42

Views

Inequality Problem Involving a Finite Sequence of Reals.

Published on 12 Apr 2026 - 12:30

score 184 · Answer 4 · 2026-04-25 13:35:14

184

Views

Prove that any positive integer can be written as sum of distinct numbers from $1,2,3,4,5,10,20,\ldots$

Published on 25 Apr 2026 - 13:35

score 60 · Answer 5 · 2026-04-11 23:12:23

60

Views

Is a countable inverse limit of isomorphisms (of abelian groups) an isomorphism?

Published on 11 Apr 2026 - 23:12

score 129 · Answer 6 · 2026-04-12 07:13:14

129

Views

For any integer a, what integers are divisors of 0?

Published on 12 Apr 2026 - 7:13

score 98 · Answer 7 · 2026-04-15 21:40:14

98

Views

Does there exist a $\mathbb{R}$-linear function $f : \mathbb{R}^3 → \mathbb{R}^2$ with $f(1; 0; 3) = (1;1)$ and $f(−2; 0; −6) = (2; 1)$?

Published on 15 Apr 2026 - 21:40

score 119 · Answer 8 · 2026-04-16 15:51:34

119

Views

Find a conformal mapping $\{z \in \mathbb C : -pi/4 < \arg(z) < \pi/4 \}$ to $\mathbb{D}$ using only moebius maps.

Published on 16 Apr 2026 - 15:51

score 70 · Answer 9 · 2026-04-14 07:49:50

70

Views

bake a pie for 4 people. you know baking a pie for 9 people, a radius of 12cm gives you the perfect amount. what is the radius for the 4 person pie

Published on 14 Apr 2026 - 7:49

score 97 · Answer 10 · 2026-04-25 13:29:19

97

Views

Proof Verification: $2^n+1 \leq 3^n$

Published on 25 Apr 2026 - 13:29

score 94 · Answer 11 · 2026-04-17 11:19:31

94

Views

True or false: $x\neq y$ in a normed vector space, then $\Vert x\Vert \neq \Vert y\Vert$

Published on 17 Apr 2026 - 11:19

score 91 · Answer 12 · 2026-03-26 12:06:30

91

Views

Singular values of matrix. Estimate norm of the expression

Published on 26 Mar 2026 - 12:06

score 71 · Answer 13 · 2026-04-17 09:30:14

71

Views

Is this method correct to find the remainder of $f(X^5):f(X)$, where $f=X^4+X^3+X^2+X+1$?

Published on 17 Apr 2026 - 9:30

score 43 · Answer 14 · 2026-04-15 21:19:23

43

Views

Proving that convergence of a series implies weak convergence in an inner product space

Published on 15 Apr 2026 - 21:19

score 218 · Answer 15 · 2026-04-12 08:41:00

218

Views

Exercise about Ideals, Generators, principal ideals and prime ideals

Published on 12 Apr 2026 - 8:41

List Question

Prove that if $(X,⊥)$ is abelian then for any permutation $σ$ the equality $x_{σ(1)}⊥...⊥x_{σ(n)}=x_1⊥...⊥x_n$ holds.

Prove that regions formed by a planar map vertices even degree can be colored with two colors such that no two neighboring regions have the same color

Inequality Problem Involving a Finite Sequence of Reals.

Prove that any positive integer can be written as sum of distinct numbers from $1,2,3,4,5,10,20,\ldots$

Is a countable inverse limit of isomorphisms (of abelian groups) an isomorphism?

For any integer a, what integers are divisors of 0?

Does there exist a $\mathbb{R}$-linear function $f : \mathbb{R}^3 → \mathbb{R}^2$ with $f(1; 0; 3) = (1;1)$ and $f(−2; 0; −6) = (2; 1)$?

Find a conformal mapping $\{z \in \mathbb C : -pi/4 < \arg(z) < \pi/4 \}$ to $\mathbb{D}$ using only moebius maps.

bake a pie for 4 people. you know baking a pie for 9 people, a radius of 12cm gives you the perfect amount. what is the radius for the 4 person pie

Proof Verification: $2^n+1 \leq 3^n$

True or false: $x\neq y$ in a normed vector space, then $\Vert x\Vert \neq \Vert y\Vert$

Singular values of matrix. Estimate norm of the expression

Is this method correct to find the remainder of $f(X^5):f(X)$, where $f=X^4+X^3+X^2+X+1$?

Proving that convergence of a series implies weak convergence in an inner product space

Exercise about Ideals, Generators, principal ideals and prime ideals

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