Question

If $\frac{x^2}{4}$ is an integer greater than 50, then what is the smallest possible value of $x^2$

score 122 · Answer 1 · 2018-11-05 19:51:25

122

Views

If $\frac{x^2}{4}$ is an integer greater than 50, then what is the smallest possible value of $x^2$

Published on 05 Nov 2018 - 19:51

score 217 · Answer 2 · 2018-11-05 21:16:09

217

Views

How to solve this radical expression: $\frac 1{xy} \times (\sqrt{xy} - \frac{xy}{x-\sqrt{xy}})\times (\sqrt{xy} + \frac{xy}{x+\sqrt{xy}})$

Published on 05 Nov 2018 - 21:16

score 127 · Answer 3 · 2018-11-08 11:21:26

127

Views

How to prove a limit exists for $f(x)=(x+1)^2$ using the ϵ -δ definition of a limit

Published on 08 Nov 2018 - 11:21

score 183 · Answer 4 · 2018-11-08 23:24:13

183

Views

For all positive integers $a, b$, if $a$ is composite and $a$ divides $b$, then $b$ is composite.

Published on 08 Nov 2018 - 23:24

score 336 · Answer 5 · 2026-03-25 06:22:08

336

Views

Prove that we can divide a group of 90 people into 3 groups each with 30 people so that everyone has a friend in group

Published on 25 Mar 2026 - 6:22

score 697 · Answer 6 · 2018-11-09 17:01:16

697

Views

Showing $e(a,b)=\{\min(1,d(a,b))\}$ is equivalent to $d(a,b)$

Published on 09 Nov 2018 - 17:01

score 257 · Answer 7 · 2018-11-10 11:47:19

257

Views

Proving $3x^{10} - y^{10} = 1991$ has no integral solutions. Check my proof.

Published on 10 Nov 2018 - 11:47

score 336 · Answer 8 · 2018-11-11 10:47:40

336

Views

Norm of Fourier Sum operator $S_n$ on $\mathcal{L}^1$

Published on 11 Nov 2018 - 10:47

score 477 · Answer 9 · 2026-03-25 04:44:19

477

Views

Verify my proof for "For every $n, q$, where $n,q \in Z^+, n\geq 2, \sum_{i=1}^n\frac1n\neq q$". [$n^{th}$ harmonic number is never an integer]

Published on 25 Mar 2026 - 4:44

score 4.1k · Answer 10 · 2018-11-15 05:51:18

4.1k

Views

Prove B is a proper subset of A

Published on 15 Nov 2018 - 5:51

score 426 · Answer 11 · 2018-11-19 17:50:59

426

Views

Prove $(a,mn)=1\Rightarrow a^{{\rm lcm}(\phi(m), \phi(n))} \equiv 1 \pmod{\!mn} $

Published on 19 Nov 2018 - 17:50

score 2.3k · Answer 12 · 2018-11-23 08:35:57

2.3k

Views

Existence of a vector $v$ in $V$ such that the $T$-annihilator of $v$ is the minimal polynomial for $T$.

Published on 23 Nov 2018 - 8:35

score 2.3k · Answer 13 · 2018-11-23 14:19:14

2.3k

Views

Set of $n$ vectors spanning an $n$ - dim vector space implies set is a basis

Published on 23 Nov 2018 - 14:19

score 960 · Answer 14 · 2018-11-24 08:52:15

960

Views

Please check the proof of Imbedding theorem.

Published on 24 Nov 2018 - 8:52

score 73 · Answer 15 · 2018-11-24 11:28:39

73

Views

Show that $P(x,y)=0$ is a hyperbola if $b^2−4ac>0$ .

Published on 24 Nov 2018 - 11:28

List Question

If $\frac{x^2}{4}$ is an integer greater than 50, then what is the smallest possible value of $x^2$

How to solve this radical expression: $\frac 1{xy} \times (\sqrt{xy} - \frac{xy}{x-\sqrt{xy}})\times (\sqrt{xy} + \frac{xy}{x+\sqrt{xy}})$

How to prove a limit exists for $f(x)=(x+1)^2$ using the ϵ -δ definition of a limit

For all positive integers $a, b$, if $a$ is composite and $a$ divides $b$, then $b$ is composite.

Prove that we can divide a group of 90 people into 3 groups each with 30 people so that everyone has a friend in group

Showing $e(a,b)=\{\min(1,d(a,b))\}$ is equivalent to $d(a,b)$

Proving $3x^{10} - y^{10} = 1991$ has no integral solutions. Check my proof.

Norm of Fourier Sum operator $S_n$ on $\mathcal{L}^1$

Verify my proof for "For every $n, q$, where $n,q \in Z^+, n\geq 2, \sum_{i=1}^n\frac1n\neq q$". [$n^{th}$ harmonic number is never an integer]

Prove B is a proper subset of A

Prove $(a,mn)=1\Rightarrow a^{{\rm lcm}(\phi(m), \phi(n))} \equiv 1 \pmod{\!mn} $

Existence of a vector $v$ in $V$ such that the $T$-annihilator of $v$ is the minimal polynomial for $T$.

Set of $n$ vectors spanning an $n$ - dim vector space implies set is a basis

Please check the proof of Imbedding theorem.

Show that $P(x,y)=0$ is a hyperbola if $b^2−4ac>0$ .

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