Question

Is the nullspace of the product of two square matrices a subset of the nullspace of one of them?

score 15 · Answer 1 · 2026-03-04 17:50:55

15

Views

Is the nullspace of the product of two square matrices a subset of the nullspace of one of them?

Published on 04 Mar 2026 - 17:50

score 77 · Answer 2 · 2026-03-27 08:40:08

77

Views

Smallest natural deduction proof for Meredith's axiom from basic rules

Published on 27 Mar 2026 - 8:40

score 48 · Answer 3 · 2026-03-26 12:46:57

48

Views

Proving Completeness of Modal Logic (K) with Minimal Assumptions

Published on 26 Mar 2026 - 12:46

score 105 · Answer 4 · 2024-03-22 06:46:58

105

Views

Suppose $f:[0,1] \rightarrow \mathbb{R}$ is twice differentiable and $f = f''$, $f(0) = f(1) = 0$, then $f$ is constant.

Published on 22 Mar 2024 - 6:46

score 140 · Answer 5 · 2024-03-23 17:00:41

140

Views

Suppose $f : \mathbb{R} \to \mathbb{R}$ is a continuous function such that $f(\mathbb{Q}) \subseteq \mathbb{N}$. Show that $f$ is constant.

Published on 23 Mar 2024 - 17:00

score 49 · Answer 6 · 2024-03-25 07:13:17

49

Views

If $o(G)$ is the product of two primes $q,p$ where $q<p$, then $G$ has at most one subgroup of order $p$.

Published on 25 Mar 2024 - 7:13

score 23 · Answer 7 · 2024-03-27 09:15:58

23

Views

Better proof that if $A$ and $B$ are in the Event Space ($F$) then $A-B\in F$?

Published on 27 Mar 2024 - 9:15

score 132 · Answer 8 · 2026-03-26 04:34:08

132

Views

Simpler solution of the Diophantine equation $x^6-y^6=z^2$.

Published on 26 Mar 2026 - 4:34

score 65 · Answer 9 · 2026-03-30 06:46:17

65

Views

Does this theorem about two lines and two transversals have a name?

Published on 30 Mar 2026 - 6:46

score 33 · Answer 10 · 2024-03-30 03:18:36

33

Views

Show that $\mathcal{L}$ spans $\mathbb{R}^3$ where $\mathcal{L}$ is a linear transformation.

Published on 30 Mar 2024 - 3:18

score 38 · Answer 11 · 2024-03-30 11:35:09

38

Views

Divisibility proof - alternative?

Published on 30 Mar 2024 - 11:35

score 120 · Answer 12 · 2015-01-03 13:34:08

120

Views

Showing that $1 - \frac{x^2}2\leq\cos x$, $\forall x \in \mathbb{R}$

Published on 03 Jan 2015 - 13:34

score 89 · Answer 13 · 2015-01-07 13:45:15

89

Views

How can I prove this using number theory only

Published on 07 Jan 2015 - 13:45

score 151 · Answer 14 · 2026-04-04 03:54:28

151

Views

An integer square matrix of prime order has size at least $(p-1)\times (p-1)$

Published on 04 Apr 2026 - 3:54

score 938 · Answer 15 · 2015-01-10 07:44:36

938

Views

Difficulties understanding a proof of $\int_0^{\infty} \frac{\sin(x)}{x} \, dx = \frac{\pi}{2}$

Published on 10 Jan 2015 - 7:44

List Question

Is the nullspace of the product of two square matrices a subset of the nullspace of one of them?

Smallest natural deduction proof for Meredith's axiom from basic rules

Proving Completeness of Modal Logic (K) with Minimal Assumptions

Suppose $f:[0,1] \rightarrow \mathbb{R}$ is twice differentiable and $f = f''$, $f(0) = f(1) = 0$, then $f$ is constant.

Suppose $f : \mathbb{R} \to \mathbb{R}$ is a continuous function such that $f(\mathbb{Q}) \subseteq \mathbb{N}$. Show that $f$ is constant.

If $o(G)$ is the product of two primes $q,p$ where $q<p$, then $G$ has at most one subgroup of order $p$.

Better proof that if $A$ and $B$ are in the Event Space ($F$) then $A-B\in F$?

Simpler solution of the Diophantine equation $x^6-y^6=z^2$.

Does this theorem about two lines and two transversals have a name?

Show that $\mathcal{L}$ spans $\mathbb{R}^3$ where $\mathcal{L}$ is a linear transformation.

Divisibility proof - alternative?

Showing that $1 - \frac{x^2}2\leq\cos x$, $\forall x \in \mathbb{R}$

How can I prove this using number theory only

An integer square matrix of prime order has size at least $(p-1)\times (p-1)$

Difficulties understanding a proof of $\int_0^{\infty} \frac{\sin(x)}{x} \, dx = \frac{\pi}{2}$

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