Question

How do you prove the follwing $|\sqrt[n]{x}-\sqrt[n]{y}| \le \sqrt[n]{|x-y|}$

score 431 · Answer 1 · 2026-04-16 11:32:13

431

Views

How do you prove the follwing $|\sqrt[n]{x}-\sqrt[n]{y}| \le \sqrt[n]{|x-y|}$

Published on 16 Apr 2026 - 11:32

score 50 · Answer 2 · 2026-04-15 10:05:12

50

Views

Can I prove this statement like this?

Published on 15 Apr 2026 - 10:05

score 48 · Answer 3 · 2026-04-12 12:28:22

48

Views

A question regarding partition of positive integers.

Published on 12 Apr 2026 - 12:28

score 140 · Answer 4 · 2026-04-16 09:08:07

140

Views

Prove that $\sqrt[n]{x}-1 \le \frac{x-1}{n}$

Published on 16 Apr 2026 - 9:08

score 861 · Answer 5 · 2026-04-14 12:32:11

861

Views

Controllability of multiple Input system (proof)

Published on 14 Apr 2026 - 12:32

score 37 · Answer 6 · 2026-04-16 15:14:39

37

Views

Proving if $f_n(a)\to f(a)$ then $f(a)=a$ in $C_{[0,1]}$

Published on 16 Apr 2026 - 15:14

score 1.3k · Answer 7 · 2026-04-15 09:00:18

1.3k

Views

What is a formal full proof that "$ \mathbf{Set}$ is a Category" in the context of Category Theory?

Published on 15 Apr 2026 - 9:00

score 1.9k · Answer 8 · 2026-04-16 03:41:25

1.9k

Views

Prove that if there are no cycles of length 3, there must be at least 2n vertices.

Published on 16 Apr 2026 - 3:41

score 175 · Answer 9 · 2026-04-15 19:27:53

Show that if $x$ has a terminating decimal expansion then $x=p/q$ for integers $p,q$ where the only prime factors of q are 2's and 5's.

score 152 · Answer 10 · 2026-04-12 21:38:40

152

Views

Reformulation of intersection of two unions

Published on 12 Apr 2026 - 21:38

score 150 · Answer 11 · 2026-04-13 17:02:45

150

Views

Finding all "soccer" polyhedra (Each vertex meets three faces: two $m$-gons and one $n$-gon ($m\neq n$))

Published on 13 Apr 2026 - 17:02

score 79 · Answer 12 · 2026-04-12 06:23:01

79

Views

How can you prove that $b=2, m=3$ are the only positive integer solutions to $4b+3m=17$?

Published on 12 Apr 2026 - 6:23

score 833 · Answer 13 · 2026-04-16 01:26:23

833

Views

Prove that, the function $f$ is injective: $f \big(f(x)f(y)\big) + f(x +y) = f(xy).$

Published on 16 Apr 2026 - 1:26

score 43 · Answer 14 · 2026-04-11 02:15:19

43

Views

understanding proof by contradiction

Published on 11 Apr 2026 - 2:15

score 43 · Answer 15 · 2026-04-11 14:24:32

43

Views

How to prove that if $A$ is algebra then $\mu(A)=\sigma(A)$?

Published on 11 Apr 2026 - 14:24

List Question

How do you prove the follwing $|\sqrt[n]{x}-\sqrt[n]{y}| \le \sqrt[n]{|x-y|}$

Can I prove this statement like this?

A question regarding partition of positive integers.

Prove that $\sqrt[n]{x}-1 \le \frac{x-1}{n}$

Controllability of multiple Input system (proof)

Proving if $f_n(a)\to f(a)$ then $f(a)=a$ in $C_{[0,1]}$

What is a formal full proof that "$ \mathbf{Set}$ is a Category" in the context of Category Theory?

Prove that if there are no cycles of length 3, there must be at least 2n vertices.

Show that if $x$ has a terminating decimal expansion then $x=p/q$ for integers $p,q$ where the only prime factors of q are 2's and 5's.

Reformulation of intersection of two unions

Finding all "soccer" polyhedra (Each vertex meets three faces: two $m$-gons and one $n$-gon ($m\neq n$))

How can you prove that $b=2, m=3$ are the only positive integer solutions to $4b+3m=17$?

Prove that, the function $f$ is injective: $f \big(f(x)f(y)\big) + f(x +y) = f(xy).$

understanding proof by contradiction

How to prove that if $A$ is algebra then $\mu(A)=\sigma(A)$?

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