Question

Show that $A\subset B$ and $C\subset D$ if and only if $A\times C \subset B\times D$

score 47 · Answer 1 · 2026-04-16 13:41:07

47

Views

Show that $A\subset B$ and $C\subset D$ if and only if $A\times C \subset B\times D$

Published on 16 Apr 2026 - 13:41

score 87 · Answer 2 · 2026-04-13 00:25:52

87

Views

Proof of Weak Nullstellensatz in Introduction to Schemes (Ottem & Ellingsrud)

Published on 13 Apr 2026 - 0:25

score 81 · Answer 3 · 2026-04-15 20:08:13

81

Views

If $f:[a,b] \to \mathbb{R}$ continous function then $f([a,b])$ is bounded.

Published on 15 Apr 2026 - 20:08

score 101 · Answer 4 · 2026-04-15 03:55:04

101

Views

If $a>0$ and $z_{1}>0$ define $z_{n+1}=\sqrt{a+z_{n}}$ show that it converges and find the limit

Published on 15 Apr 2026 - 3:55

score 91 · Answer 5 · 2026-04-11 20:19:29

91

Views

Dual formula in predicate calculus: different proof

Published on 11 Apr 2026 - 20:19

score 109 · Answer 6 · 2026-04-17 12:01:44

109

Views

Radius of convergence for $\frac{1}{x^2 + x - 6}$

Published on 17 Apr 2026 - 12:01

score 70 · Answer 7 · 2026-04-14 19:14:52

70

Views

Brezis' exercise 5.25.6: weak convergence of Cesàro mean

Published on 14 Apr 2026 - 19:14

score 27 · Answer 8 · 2026-04-13 23:25:23

27

Views

$\varphi = a_1 \wedge a_2 \wedge \cdots \wedge a_n$ with n $\in \mathbb{N}$, finding largest set

Published on 13 Apr 2026 - 23:25

score 48 · Answer 9 · 2026-04-13 02:31:16

48

Views

Finding the set of vectors that are perpendicular to a given vector in three dimensions

Published on 13 Apr 2026 - 2:31

score 28 · Answer 10 · 2026-05-05 23:24:31

28

Views

Prove the independence of "a" of a Fourier coefficient of a Fourier series calculated over the interval $[-a,a]$

Published on 05 May 2026 - 23:24

score 912 · Answer 11 · 2026-04-16 18:07:19

912

Views

$\frac{8^x-2^x}{6^x-3^x}=2$, Solve for $x$

Published on 16 Apr 2026 - 18:07

score 72 · Answer 12 · 2026-04-23 13:33:05

72

Views

Solving for $x$ in $9^x=18$

Published on 23 Apr 2026 - 13:33

score 78 · Answer 13 · 2026-04-13 09:47:29

78

Views

Verifying proof: Can we achieve a 2-cycle permutation using 3-cycle permutations only?

Published on 13 Apr 2026 - 9:47

score 31 · Answer 14 · 2026-04-16 15:15:53

Confirming extra assumptions required to prove: if $\lim_{y \to b}\phi(y)=a$ and $\lim_{y \to b}F \circ \phi (y)=L$, then $\lim_{x \to a}F(x)=L$

score 124 · Answer 15 · 2026-04-11 21:37:59

124

Views

Are these proofs of two Halting Problems rigorous?

Published on 11 Apr 2026 - 21:37

List Question

Show that $A\subset B$ and $C\subset D$ if and only if $A\times C \subset B\times D$

Proof of Weak Nullstellensatz in Introduction to Schemes (Ottem & Ellingsrud)

If $f:[a,b] \to \mathbb{R}$ continous function then $f([a,b])$ is bounded.

If $a>0$ and $z_{1}>0$ define $z_{n+1}=\sqrt{a+z_{n}}$ show that it converges and find the limit

Dual formula in predicate calculus: different proof

Radius of convergence for $\frac{1}{x^2 + x - 6}$

Brezis' exercise 5.25.6: weak convergence of Cesàro mean

$\varphi = a_1 \wedge a_2 \wedge \cdots \wedge a_n$ with n $\in \mathbb{N}$, finding largest set

Finding the set of vectors that are perpendicular to a given vector in three dimensions

Prove the independence of "a" of a Fourier coefficient of a Fourier series calculated over the interval $[-a,a]$

$\frac{8^x-2^x}{6^x-3^x}=2$, Solve for $x$

Solving for $x$ in $9^x=18$

Verifying proof: Can we achieve a 2-cycle permutation using 3-cycle permutations only?

Confirming extra assumptions required to prove: if $\lim_{y \to b}\phi(y)=a$ and $\lim_{y \to b}F \circ \phi (y)=L$, then $\lim_{x \to a}F(x)=L$

Are these proofs of two Halting Problems rigorous?

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