Question

Please check my proof for : Prove $|x| < \epsilon$ for all $\epsilon > 0$ iff $x = 0$.

score 426 · Answer 1 · 2020-05-05 00:37:50

426

Views

Please check my proof for : Prove $|x| < \epsilon$ for all $\epsilon > 0$ iff $x = 0$.

Published on 05 May 2020 - 0:37

score 819 · Answer 2 · 2026-03-30 00:18:21

819

Views

Using Cauchy-Schwarz to prove the triangle inequality

Published on 30 Mar 2026 - 0:18

score 55 · Answer 3 · 2020-05-05 01:44:52

55

Views

Does the anti derivative of $\int \frac{1}{ax+b} dx$ have multiple answers?

Published on 05 May 2020 - 1:44

score 33 · Answer 4 · 2026-04-09 10:03:58

33

Views

How do we prove the metrics $d_{j}:\textbf{R}^{n}\times\textbf{R}^{n}\to\textbf{R}_{\geq0}$ are equivalent

Published on 09 Apr 2026 - 10:03

score 224 · Answer 5 · 2026-04-11 01:18:48

224

Views

Relation between relative homology group and path components.

Published on 11 Apr 2026 - 1:18

score 810 · Answer 6 · 2020-05-05 07:21:56

810

Views

How do I prove that a set containing only one vector is linearly independent?

Published on 05 May 2020 - 7:21

score 125 · Answer 7 · 2026-04-09 08:07:55

125

Views

Continuous parametrization of continuous functions in the Baire space $\omega^\omega$

Published on 09 Apr 2026 - 8:07

score 28 · Answer 8 · 2026-04-09 00:13:53

28

Views

Proof verification for linear operators

Published on 09 Apr 2026 - 0:13

score 30 · Answer 9 · 2026-04-11 16:50:19

30

Views

How can we use induction on 'i' here to form first to second equation?

Published on 11 Apr 2026 - 16:50

score 66 · Answer 10 · 2026-04-12 03:20:49

66

Views

Is $A \subseteq C \land B \subseteq C \to A\cup B \subseteq C$ valid?

Published on 12 Apr 2026 - 3:20

score 162 · Answer 11 · 2026-04-11 19:21:05

162

Views

Is counting the dice throws needed to get $n$ times 6 a Markov chain?

Published on 11 Apr 2026 - 19:21

score 751 · Answer 12 · 2026-04-11 21:51:39

751

Views

Let $E$ be a subset of $X$. Then $E$ is open if and only if $E = \text{int}(E)$.

Published on 11 Apr 2026 - 21:51

score 36 · Answer 13 · 2020-05-05 17:07:28

36

Views

If $\sigma_n^2<\infty$ and $E[X_n]\ne0$ then $\frac{\sigma_n^2}{E[X_n]^2}\to0$ implies $\frac{X_n}{E[X_n]}\overset{P}\longrightarrow1$

Published on 05 May 2020 - 17:07

score 1k · Answer 14 · 2020-05-05 18:16:31

1k

Views

Write the exponential form of $\sqrt{i}$.

Published on 05 May 2020 - 18:16

score 308 · Answer 15 · 2026-04-11 16:29:34

308

Views

Grandi's series converges to 1/2, proof check

Published on 11 Apr 2026 - 16:29

List Question

Please check my proof for : Prove $|x| < \epsilon$ for all $\epsilon > 0$ iff $x = 0$.

Using Cauchy-Schwarz to prove the triangle inequality

Does the anti derivative of $\int \frac{1}{ax+b} dx$ have multiple answers?

How do we prove the metrics $d_{j}:\textbf{R}^{n}\times\textbf{R}^{n}\to\textbf{R}_{\geq0}$ are equivalent

Relation between relative homology group and path components.

How do I prove that a set containing only one vector is linearly independent?

Continuous parametrization of continuous functions in the Baire space $\omega^\omega$

Proof verification for linear operators

How can we use induction on 'i' here to form first to second equation?

Is $A \subseteq C \land B \subseteq C \to A\cup B \subseteq C$ valid?

Is counting the dice throws needed to get $n$ times 6 a Markov chain?

Let $E$ be a subset of $X$. Then $E$ is open if and only if $E = \text{int}(E)$.

If $\sigma_n^2<\infty$ and $E[X_n]\ne0$ then $\frac{\sigma_n^2}{E[X_n]^2}\to0$ implies $\frac{X_n}{E[X_n]}\overset{P}\longrightarrow1$

Write the exponential form of $\sqrt{i}$.

Grandi's series converges to 1/2, proof check

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