Question

Let $a < b $ be real numbers and consider set T = $\mathbb Q \ \cap \ [a,b].$ Show $\sup \ T =b$

score 1.2k · Answer 1 · 2018-02-13 00:34:57

1.2k

Views

Let $a < b $ be real numbers and consider set T = $\mathbb Q \ \cap \ [a,b].$ Show $\sup \ T =b$

Published on 13 Feb 2018 - 0:34

score 949 · Answer 2 · 2018-02-13 01:05:30

949

Views

Show that there exists an $\epsilon$ such that any closed ball of radius $\epsilon$ is completely contained in at least one $U_i$

Published on 13 Feb 2018 - 1:05

score 890 · Answer 3 · 2026-03-23 08:25:11

890

Views

Prove a language is not regular. Use pumping lemma.

Published on 23 Mar 2026 - 8:25

score 652 · Answer 4 · 2026-03-25 01:22:19

652

Views

Proving constant sheaf is truly a sheaf

Published on 25 Mar 2026 - 1:22

score 116 · Answer 5 · 2026-03-22 22:16:28

116

Views

Connectivity and minimum length

Published on 22 Mar 2026 - 22:16

score 766 · Answer 6 · 2018-02-13 09:43:22

766

Views

Verification of proof of $\tan(x)+\cot(x)=\csc(x)\sec(x)$

Published on 13 Feb 2018 - 9:43

score 101 · Answer 7 · 2018-02-13 10:45:46

101

Views

Computing area of a set

Published on 13 Feb 2018 - 10:45

score 117 · Answer 8 · 2018-02-13 10:53:46

Given a set $X$ and $\mathcal{A} \subseteq \mathcal{P}(X)$, prove that there exists a unique smallest topology that contains $\mathcal{A}$

score 15.4k · Answer 9 · 2026-03-25 01:31:13

15.4k

Views

Proof that every group of order 4 is abelian

Published on 25 Mar 2026 - 1:31

score 2k · Answer 10 · 2026-03-25 04:40:20

2k

Views

VERIFICATION: Apply Step-deviation method to find the average mean of the following frequency distribution

Published on 25 Mar 2026 - 4:40

score 145 · Answer 11 · 2026-03-25 06:05:37

145

Views

Show that if $x, y, \sqrt{x} + \sqrt{y}∈ \mathbb Q$ then $\sqrt{x}, \sqrt{y} ∈ \mathbb Q$

Published on 25 Mar 2026 - 6:05

score 103 · Answer 12 · 2026-03-25 01:16:27

103

Views

Implications of field $\mathbf{F}$ with characteristic $0$.

Published on 25 Mar 2026 - 1:16

score 79 · Answer 13 · 2018-02-13 17:33:09

79

Views

Are these subgroups?

Published on 13 Feb 2018 - 17:33

score 37 · Answer 14 · 2018-02-13 18:09:49

37

Views

If $b_n$ is a non-negative sequence and the limit is 0, then the limit of $\sqrt{b_n}$ is 0.

Published on 13 Feb 2018 - 18:09

score 364 · Answer 15 · 2026-03-25 17:36:22

364

Views

Cartesian Product is Countably Infinite by Induction

Published on 25 Mar 2026 - 17:36

List Question

Let $a < b $ be real numbers and consider set T = $\mathbb Q \ \cap \ [a,b].$ Show $\sup \ T =b$

Show that there exists an $\epsilon$ such that any closed ball of radius $\epsilon$ is completely contained in at least one $U_i$

Prove a language is not regular. Use pumping lemma.

Proving constant sheaf is truly a sheaf

Connectivity and minimum length

Verification of proof of $\tan(x)+\cot(x)=\csc(x)\sec(x)$

Computing area of a set

Given a set $X$ and $\mathcal{A} \subseteq \mathcal{P}(X)$, prove that there exists a unique smallest topology that contains $\mathcal{A}$

Proof that every group of order 4 is abelian

VERIFICATION: Apply Step-deviation method to find the average mean of the following frequency distribution

Show that if $x, y, \sqrt{x} + \sqrt{y}∈ \mathbb Q$ then $\sqrt{x}, \sqrt{y} ∈ \mathbb Q$

Implications of field $\mathbf{F}$ with characteristic $0$.

Are these subgroups?

If $b_n$ is a non-negative sequence and the limit is 0, then the limit of $\sqrt{b_n}$ is 0.

Cartesian Product is Countably Infinite by Induction

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