Question

A question about norms and bases in vector spaces

score 1.8k · Answer 1 · 2026-03-30 04:08:06

1.8k

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A question about norms and bases in vector spaces

Published on 30 Mar 2026 - 4:08

score 140 · Answer 2 · 2026-03-25 21:30:54

140

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Counterexample for Cauchy Sequence

Published on 25 Mar 2026 - 21:30

score 42 · Answer 3 · 2017-09-17 18:50:37

42

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Rational sequence less than constant rational sequence

Published on 17 Sep 2017 - 18:50

score 221 · Answer 4 · 2017-09-18 03:03:47

221

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Prove that it is a cauchy sequence

Published on 18 Sep 2017 - 3:03

score 135 · Answer 5 · 2017-09-18 03:32:02

135

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Prove that sequence $a_n/n$ is convergent for $a_n = 1+\frac15+\frac19... + \frac1{4n-3}$

Published on 18 Sep 2017 - 3:32

score 276 · Answer 6 · 2017-09-30 23:38:45

276

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Proof that all Cauchy sequences converge by first principles?

Published on 30 Sep 2017 - 23:38

score 87 · Answer 7 · 2017-10-01 14:05:33

Let $\{ x_{n}\}$ be a sequence such that there exists $0 < C < 1$ such that $|x_{n+1} - x_{n}| \leq C|x_{n} - x_{n-1}|$. Show $\{x_{n}\}$ is Cauchy.

score 153 · Answer 8 · 2026-03-29 02:17:33

153

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There exist infinite-dimensional spaces X, Y and a compact surjective operator T : X → Y .

Published on 29 Mar 2026 - 2:17

score 169 · Answer 9 · 2017-10-03 18:25:53

169

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Is $\mathbb{C}^n = \mathbb{R}^{2n}?$

Published on 03 Oct 2017 - 18:25

score 319 · Answer 10 · 2026-04-03 02:41:26

319

Views

p-adic arithmetic, Cauchy sequence, polynomial

Published on 03 Apr 2026 - 2:41

score 66 · Answer 11 · 2017-10-05 09:54:36

66

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What does this sequence converge of recursive logarithms to?

Published on 05 Oct 2017 - 9:54

score 1.4k · Answer 12 · 2017-10-08 07:58:57

1.4k

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cauchy sequence and least upper bound property

Published on 08 Oct 2017 - 7:58

score 2k · Answer 13 · 2017-10-09 15:37:22

2k

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How to prove that the both definition of completeness of $\mathbb{R}$ are equivalent?

Published on 09 Oct 2017 - 15:37

score 71 · Answer 14 · 2017-10-09 17:23:04

71

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If $d(f,g)= \sum^{\infty}_{k=0}\frac{1}{2^k} \min(|f(k)-g(k)|,1)$ then what does $d(f_n,g_n)$ equals to?

Published on 09 Oct 2017 - 17:23

score 429 · Answer 15 · 2017-10-11 11:49:09

429

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Let $(X,d)$ be a metric space and let{$x_n$}and {$y_n$}be arbitrary sequences > in $ X$. Which of the following statements are true?

Published on 11 Oct 2017 - 11:49

List Question

A question about norms and bases in vector spaces

Counterexample for Cauchy Sequence

Rational sequence less than constant rational sequence

Prove that it is a cauchy sequence

Prove that sequence $a_n/n$ is convergent for $a_n = 1+\frac15+\frac19... + \frac1{4n-3}$

Proof that all Cauchy sequences converge by first principles?

Let $\{ x_{n}\}$ be a sequence such that there exists $0 < C < 1$ such that $|x_{n+1} - x_{n}| \leq C|x_{n} - x_{n-1}|$. Show $\{x_{n}\}$ is Cauchy.

There exist infinite-dimensional spaces X, Y and a compact surjective operator T : X → Y .

Is $\mathbb{C}^n = \mathbb{R}^{2n}?$

p-adic arithmetic, Cauchy sequence, polynomial

What does this sequence converge of recursive logarithms to?

cauchy sequence and least upper bound property

How to prove that the both definition of completeness of $\mathbb{R}$ are equivalent?

If $d(f,g)= \sum^{\infty}_{k=0}\frac{1}{2^k} \min(|f(k)-g(k)|,1)$ then what does $d(f_n,g_n)$ equals to?

Let $(X,d)$ be a metric space and let{$x_n$}and {$y_n$}be arbitrary sequences > in $ X$. Which of the following statements are true?

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