Question

Prove that finding the maximum element is n-1

score 896 · Answer 1 · 2026-04-13 18:15:18

896

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Prove that finding the maximum element is n-1

Published on 13 Apr 2026 - 18:15

score 102 · Answer 2 · 2026-04-13 23:12:44

102

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Fast formula for $\sum_{i=1}^{n} (i \cdot (i!))$, for arbitrary $n \in \mathbb{N}_1$

Published on 13 Apr 2026 - 23:12

score 60 · Answer 3 · 2026-04-16 01:38:26

60

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Given $E \subset \mathbb{R^n}$ with $m^(E) < \infty$. Show that if $E$ is compact then $m^(E) = \lim_{m \to \infty} m^*(\sigma_m)$

Published on 16 Apr 2026 - 1:38

score 66 · Answer 4 · 2026-04-09 00:13:24

66

Views

Does $\neq$ hold true like $=$ holds true under equation manipulation?

Published on 09 Apr 2026 - 0:13

score 142 · Answer 5 · 2026-04-13 09:49:45

142

Views

Proving logical equivalences in the statements $(∃)(() → ())$ and $(∀)() → (∃)()$

Published on 13 Apr 2026 - 9:49

score 24 · Answer 6 · 2026-04-09 09:30:18

24

Views

Surjectivity of composition of functions

Published on 09 Apr 2026 - 9:30

score 372 · Answer 7 · 2026-04-16 10:50:36

372

Views

Prove that $A' \subseteq B$ if and only if $A \cup B = U$

Published on 16 Apr 2026 - 10:50

score 321 · Answer 8 · 2026-04-16 06:27:30

score 8.1k · Answer 9 · 2026-04-12 23:14:26

8.1k

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How to attack "if true, prove it; if not true, give a counterexample" question?

Published on 12 Apr 2026 - 23:14

score 41 · Answer 10 · 2026-04-11 03:51:45

41

Views

Proving a statement using induction

Published on 11 Apr 2026 - 3:51

score 948 · Answer 11 · 2026-04-14 09:32:27

948

Views

Proving $(ab)^{-1} = a^{-1}b^{-1}$, if $a,b\ne 0$

Published on 14 Apr 2026 - 9:32

score 48 · Answer 12 · 2026-04-09 19:25:25

48

Views

Help with a proof using the pumping lemma

Published on 09 Apr 2026 - 19:25

score 91 · Answer 13 · 2026-04-15 19:18:13

91

Views

Guess and prove Formula for Sequence $b_n$ = $\sqrt{b_{n-1}b_{n-2}} + \frac{3n}{2} - 1.$

Published on 15 Apr 2026 - 19:18

score 1.6k · Answer 14 · 2026-04-14 21:48:56

1.6k

Views

Prove that any two open intervals are equinumerous.

Published on 14 Apr 2026 - 21:48

score 150 · Answer 15 · 2026-04-14 16:31:52

150

Views

Guess and Prove by induction a formula for the $n$-th element in a sequence $b_n$

Published on 14 Apr 2026 - 16:31

List Question

Prove that finding the maximum element is n-1

Fast formula for $\sum_{i=1}^{n} (i \cdot (i!))$, for arbitrary $n \in \mathbb{N}_1$

Given $E \subset \mathbb{R^n}$ with $m^(E) < \infty$. Show that if $E$ is compact then $m^(E) = \lim_{m \to \infty} m^*(\sigma_m)$

Does $\neq$ hold true like $=$ holds true under equation manipulation?

Proving logical equivalences in the statements $(∃)(() → ())$ and $(∀)() → (∃)()$

Surjectivity of composition of functions

Prove that $A' \subseteq B$ if and only if $A \cup B = U$

Let $A,B,X$ be finite sets. Prove that $|A \triangle X| + |X \triangle B| = |A \triangle B| \iff A \cap B \subseteq X \subseteq A \cup B$

How to attack "if true, prove it; if not true, give a counterexample" question?

Proving a statement using induction

Proving $(ab)^{-1} = a^{-1}b^{-1}$, if $a,b\ne 0$

Help with a proof using the pumping lemma

Guess and prove Formula for Sequence $b_n$ = $\sqrt{b_{n-1}b_{n-2}} + \frac{3n}{2} - 1.$

Prove that any two open intervals are equinumerous.

Guess and Prove by induction a formula for the $n$-th element in a sequence $b_n$

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