Question

A linear application $f : \mathbb{R}^3 \longmapsto \mathbb{R}^3$ has always an $f$-invariant plane

score 186 · Answer 1 · 2026-04-14 10:52:56

186

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A linear application $f : \mathbb{R}^3 \longmapsto \mathbb{R}^3$ has always an $f$-invariant plane

Published on 14 Apr 2026 - 10:52

score 555 · Answer 2 · 2026-04-15 11:47:21

555

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Let $a, b, c ∈ Z$. Then $ab + ac + bc$ is even if and only if at most one of $a, b$ and $c$ is odd.

Published on 15 Apr 2026 - 11:47

score 65 · Answer 3 · 2026-04-12 15:16:28

65

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Is this a valid proof of the chain rule for single variable functions?

Published on 12 Apr 2026 - 15:16

score 315 · Answer 4 · 2026-04-17 15:25:11

315

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Trying to prove $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$

Published on 17 Apr 2026 - 15:25

score 351 · Answer 5 · 2026-04-14 14:27:19

351

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Exercise 4.23 of Baby Rudin

Published on 14 Apr 2026 - 14:27

score 176 · Answer 6 · 2026-04-14 13:33:43

176

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Theorem 6.6 of Baby Rudin

Published on 14 Apr 2026 - 13:33

score 61 · Answer 7 · 2026-04-15 12:29:01

61

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For what values of $n$ are all the units (except 1) of $\mathbb{Z}_{n}$ order 2?

Published on 15 Apr 2026 - 12:29

score 157 · Answer 8 · 2026-04-15 22:20:53

157

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If $A$ is an $n$ square matrix of rank $n-1$ then show that $\operatorname{adj}A \neq 0$

Published on 15 Apr 2026 - 22:20

score 88 · Answer 9 · 2026-04-14 10:13:21

88

Views

what sort of proof did Chebyshev use to prove Bertrand's conjecture?

Published on 14 Apr 2026 - 10:13

score 30 · Answer 10 · 2026-04-14 17:42:02

30

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How do I prove that this specific claim is onto?

Published on 14 Apr 2026 - 17:42

score 141 · Answer 11 · 2026-04-13 00:14:01

141

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Alternative proof for soundness and completeness of standard semantics for conjunction-only fragment of classical propositional calculus

Published on 13 Apr 2026 - 0:14

score 145 · Answer 12 · 2026-04-16 19:19:39

145

Views

Theorem 6.12(a) Of Baby Rudin. Alternative Proof Of $ \int_a^b \left( f_1 + f_2 \right) d \alpha = \int_a^b f_1 d \alpha + \int_a^b f_2 d \alpha$

Published on 16 Apr 2026 - 19:19

score 118 · Answer 13 · 2026-04-12 20:50:13

118

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A Question on Epsilon-Delta Proofs in Measure Theory

Published on 12 Apr 2026 - 20:50

score 222 · Answer 14 · 2026-04-14 02:35:51

222

Views

Is there a way to prove $\pi$ is irrational using any of its infinite series?

Published on 14 Apr 2026 - 2:35

score 332 · Answer 15 · 2026-04-14 22:05:40

332

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Different ways to evaluate $\sum_{n=1}^\infty\frac{H_nH_n^{(2)}}{(n+1)(n+2)(n+3)}$

Published on 14 Apr 2026 - 22:05

List Question

A linear application $f : \mathbb{R}^3 \longmapsto \mathbb{R}^3$ has always an $f$-invariant plane

Let $a, b, c ∈ Z$. Then $ab + ac + bc$ is even if and only if at most one of $a, b$ and $c$ is odd.

Is this a valid proof of the chain rule for single variable functions?

Trying to prove $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$

Exercise 4.23 of Baby Rudin

Theorem 6.6 of Baby Rudin

For what values of $n$ are all the units (except 1) of $\mathbb{Z}_{n}$ order 2?

If $A$ is an $n$ square matrix of rank $n-1$ then show that $\operatorname{adj}A \neq 0$

what sort of proof did Chebyshev use to prove Bertrand's conjecture?

How do I prove that this specific claim is onto?

Alternative proof for soundness and completeness of standard semantics for conjunction-only fragment of classical propositional calculus

Theorem 6.12(a) Of Baby Rudin. Alternative Proof Of $ \int_a^b \left( f_1 + f_2 \right) d \alpha = \int_a^b f_1 d \alpha + \int_a^b f_2 d \alpha$

A Question on Epsilon-Delta Proofs in Measure Theory

Is there a way to prove $\pi$ is irrational using any of its infinite series?

Different ways to evaluate $\sum_{n=1}^\infty\frac{H_nH_n^{(2)}}{(n+1)(n+2)(n+3)}$

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