Question

Making sense of this seemingly circular argument about $2$-dimensional Lie algebras

score 71 · Answer 1 · 2020-01-25 02:07:17

71

Views

Making sense of this seemingly circular argument about $2$-dimensional Lie algebras

Published on 25 Jan 2020 - 2:07

score 823 · Answer 2 · 2020-01-25 02:54:00

823

Views

Prove: (p → ¬q) → (¬p → q) ≡ p ∨ q

Published on 25 Jan 2020 - 2:54

score 92 · Answer 3 · 2026-03-31 03:34:43

92

Views

Does this prove that [p ∧ (p → q)] → q is a tautology?

Published on 31 Mar 2026 - 3:34

score 59 · Answer 4 · 2026-03-28 09:14:22

59

Views

Consider $f$ holomorphic on $B'(0,1) := B(0,1)\backslash\{0\}$ and $|f(z)|\le \ln(1/|z|),\forall z\in B'(0,1)$. Show that $f=0$ on $B'(0,1)$.

Published on 28 Mar 2026 - 9:14

score 568 · Answer 5 · 2020-01-25 12:20:17

568

Views

Determine whether or not a linear transformation is invertible

Published on 25 Jan 2020 - 12:20

score 43 · Answer 6 · 2020-01-25 13:07:59

43

Views

Efficient way for learning proofs

Published on 25 Jan 2020 - 13:07

score 57 · Answer 7 · 2020-01-25 13:36:55

57

Views

Determine the number of ways in which they can exchange their maps if each keeps his initial number of maps for the following given data.

Published on 25 Jan 2020 - 13:36

score 57 · Answer 8 · 2020-01-25 14:38:08

57

Views

Infinite series: defining the sum

Published on 25 Jan 2020 - 14:38

score 31 · Answer 9 · 2026-03-29 21:14:49

31

Views

Solution verification: $f(x)=\frac{x^2}{(x^3-4)^{\frac13}}$ series expansion at positive and negative $\infty$

Published on 29 Mar 2026 - 21:14

score 86 · Answer 10 · 2026-03-31 01:29:14

86

Views

$n$ blue letters and $n$ pink letters to place in $n$ envelopes

Published on 31 Mar 2026 - 1:29

score 96 · Answer 11 · 2026-03-26 22:54:18

96

Views

Simple power tower $x^{1-x+x^{1-x+x^{1-x+x^{1-x+\cdots}}}}=x$

Published on 26 Mar 2026 - 22:54

score 907 · Answer 12 · 2026-03-26 02:57:46

907

Views

Coloring $\mathbb{N}$ with finitely many colors results in monochromatic $x,y,z \in \mathbb{N}$ such that $x+y = z$.

Published on 26 Mar 2026 - 2:57

score 8k · Answer 13 · 2020-01-25 18:23:07

8k

Views

Prove this proposition is a tautology: [(p ∨ q) ∧ (p → r) ∧ (q → r)] → r Did I make an error?

Published on 25 Jan 2020 - 18:23

score 25 · Answer 14 · 2020-01-25 18:27:10

25

Views

$C^1(\Bbb R)$ solutions of $y'=\max\{0,y^{1/3}\}$

Published on 25 Jan 2020 - 18:27

score 2k · Answer 15 · 2020-01-25 19:38:20

2k

Views

Show that $B(1-t) - B(1)$ is a Brownian motion

Published on 25 Jan 2020 - 19:38

List Question

Making sense of this seemingly circular argument about $2$-dimensional Lie algebras

Prove: (p → ¬q) → (¬p → q) ≡ p ∨ q

Does this prove that [p ∧ (p → q)] → q is a tautology?

Consider $f$ holomorphic on $B'(0,1) := B(0,1)\backslash\{0\}$ and $|f(z)|\le \ln(1/|z|),\forall z\in B'(0,1)$. Show that $f=0$ on $B'(0,1)$.

Determine whether or not a linear transformation is invertible

Efficient way for learning proofs

Determine the number of ways in which they can exchange their maps if each keeps his initial number of maps for the following given data.

Infinite series: defining the sum

Solution verification: $f(x)=\frac{x^2}{(x^3-4)^{\frac13}}$ series expansion at positive and negative $\infty$

$n$ blue letters and $n$ pink letters to place in $n$ envelopes

Simple power tower $x^{1-x+x^{1-x+x^{1-x+x^{1-x+\cdots}}}}=x$

Coloring $\mathbb{N}$ with finitely many colors results in monochromatic $x,y,z \in \mathbb{N}$ such that $x+y = z$.

Prove this proposition is a tautology: [(p ∨ q) ∧ (p → r) ∧ (q → r)] → r Did I make an error?

$C^1(\Bbb R)$ solutions of $y'=\max\{0,y^{1/3}\}$

Show that $B(1-t) - B(1)$ is a Brownian motion

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