Question

A functional equation involving the floor function.

score 131 · Answer 1 · 2026-04-08 22:22:51

131

Views

A functional equation involving the floor function.

Published on 08 Apr 2026 - 22:22

score 152 · Answer 2 · 2026-04-14 19:37:39

152

Views

Prove that for any finite group, the number of elements that are not their own inverses is even

Published on 14 Apr 2026 - 19:37

score 490 · Answer 3 · 2026-04-16 03:40:47

490

Views

Prove that, if $d$ is a metric, then $\frac{d}{1+d}$ is equivalent to $d$.

Published on 16 Apr 2026 - 3:40

score 137 · Answer 4 · 2026-04-14 18:42:14

137

Views

Show that $f_n(x) = \frac{x^2}{n}$ for $x \in \mathbb{R}$ does not converge uniformly towards $0$ for $n \rightarrow \infty$

Published on 14 Apr 2026 - 18:42

score 267 · Answer 5 · 2026-04-08 11:35:31

267

Views

Proof of the existence of a unique linear transformation

Published on 08 Apr 2026 - 11:35

score 406 · Answer 6 · 2026-04-15 18:06:00

406

Views

If $z+\frac{1}{z}=2\cos\theta,$ where $z\in\Bbb C$, show that $\left|\frac{z^{2 n}-1}{z^{2n}+1}\right|=|\tan n\theta|$

Published on 15 Apr 2026 - 18:06

score 75 · Answer 7 · 2026-04-11 10:00:27

75

Views

Verification of Integrals

Published on 11 Apr 2026 - 10:00

score 36 · Answer 8 · 2026-04-15 22:00:19

36

Views

$\alpha$ is a root of the equation $px^2+2qx+r=0$ or not where the following determinant is given $0$

Published on 15 Apr 2026 - 22:00

score 271 · Answer 9 · 2026-04-10 16:05:03

271

Views

Directional derivatives of homogeneous functions - Proof Correction

Published on 10 Apr 2026 - 16:05

score 191 · Answer 10 · 2026-04-11 05:30:57

191

Views

First isomorphism theorem for groups proof that function is well-defined

Published on 11 Apr 2026 - 5:30

score 106 · Answer 11 · 2026-04-15 21:24:50

106

Views

Let G be a Group and $a,b \in G$. If $a$ and $b$ commute and $|a|$ and $|b|$ are finite. What can be possible values for $|ab|$?

Published on 15 Apr 2026 - 21:24

score 68 · Answer 12 · 2026-04-15 09:45:25

68

Views

limit of $f:(0,\infty) \rightarrow \mathbb{R}$ as $x\to \infty$

Published on 15 Apr 2026 - 9:45

score 173 · Answer 13 · 2026-04-11 18:06:33

173

Views

Reasoning about least common multiples and their relationship to binomial coefficients

Published on 11 Apr 2026 - 18:06

score 145 · Answer 14 · 2026-04-08 21:14:45

145

Views

Finding K value?

Published on 08 Apr 2026 - 21:14

score 30 · Answer 15 · 2026-04-09 14:08:41

30

Views

Lebesgue measure/integral problem - where do I go wrong?

Published on 09 Apr 2026 - 14:08

List Question

A functional equation involving the floor function.

Prove that for any finite group, the number of elements that are not their own inverses is even

Prove that, if $d$ is a metric, then $\frac{d}{1+d}$ is equivalent to $d$.

Show that $f_n(x) = \frac{x^2}{n}$ for $x \in \mathbb{R}$ does not converge uniformly towards $0$ for $n \rightarrow \infty$

Proof of the existence of a unique linear transformation

If $z+\frac{1}{z}=2\cos\theta,$ where $z\in\Bbb C$, show that $\left|\frac{z^{2 n}-1}{z^{2n}+1}\right|=|\tan n\theta|$

Verification of Integrals

$\alpha$ is a root of the equation $px^2+2qx+r=0$ or not where the following determinant is given $0$

Directional derivatives of homogeneous functions - Proof Correction

First isomorphism theorem for groups proof that function is well-defined

Let G be a Group and $a,b \in G$. If $a$ and $b$ commute and $|a|$ and $|b|$ are finite. What can be possible values for $|ab|$?

limit of $f:(0,\infty) \rightarrow \mathbb{R}$ as $x\to \infty$

Reasoning about least common multiples and their relationship to binomial coefficients

Finding K value?

Lebesgue measure/integral problem - where do I go wrong?

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