Question

Prove central binomial coefficient upper bound

score 443 · Answer 1 · 2026-03-27 20:30:51

443

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Prove central binomial coefficient upper bound

Published on 27 Mar 2026 - 20:30

score 64 · Answer 2 · 2026-03-26 11:03:11

64

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Prove that $|f(z)-f(0)-f'(0)z|\leq f(|z|)-f(0)-f'(0)|z|$ on unit disc

Published on 26 Mar 2026 - 11:03

score 59 · Answer 3 · 2026-03-26 19:18:51

59

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Corollary to Chernoff's bound: $P(x \geq a+b) \leq e^{-2b^2/n}$

Published on 26 Mar 2026 - 19:18

score 120 · Answer 4 · 2026-03-30 15:31:18

120

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Is the following inequality true: $x^{t}y^{1-t} \geq tx+(1-t)y$ for $t\in [0,1], x,y > 0$?

Published on 30 Mar 2026 - 15:31

score 33 · Answer 5 · 2026-03-25 20:52:08

33

Views

Question regarding absolute equalities vs. absolute inequalities

Published on 25 Mar 2026 - 20:52

score 53 · Answer 6 · 2026-03-25 15:42:23

53

Views

Square root of two positive integers less than or equal to the sum of both integers direct proof

Published on 25 Mar 2026 - 15:42

score 51 · Answer 7 · 2026-03-25 06:04:43

51

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Is $\pmb{x}<\pmb{y}$ implies $A\pmb{x}<A\pmb{y}$ when $A$ is positive definite?

Published on 25 Mar 2026 - 6:04

score 48 · Answer 8 · 2018-10-10 10:05:27

48

Views

Inequality in a delay differential equation

Published on 10 Oct 2018 - 10:05

score 689 · Answer 9 · 2026-03-25 17:40:37

689

Views

How to prove $f(x)=x^4$ is concave up by definition?

Published on 25 Mar 2026 - 17:40

score 80 · Answer 10 · 2026-04-07 05:15:40

80

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Does the inequality $\frac{p^Tp}{p^TAp} < 2\frac{p^TA^{-1}p}{p^Tp}$ hold?

Published on 07 Apr 2026 - 5:15

score 318 · Answer 11 · 2026-03-27 12:28:45

318

Views

How do I solve a quadratic (parabola) inequality with complex roots?

Published on 27 Mar 2026 - 12:28

score 112 · Answer 12 · 2018-10-10 21:59:04

112

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Proving that E[L] ≤ E[L|L>n], where where the inequality is strict if P(L≤ n)> 0

Published on 10 Oct 2018 - 21:59

score 97 · Answer 13 · 2026-03-27 00:03:48

97

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$a + b = 2$ implies $a^c + b^c \ge 2$ for any real $c \ge 1$

Published on 27 Mar 2026 - 0:03

score 204 · Answer 14 · 2018-10-11 04:14:04

204

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show this nice and hard inequality with $ \prod_{i=1}^{n}|x_{i}-y_{i}|<e^{\frac{n}{2}}$

Published on 11 Oct 2018 - 4:14

score 160 · Answer 15 · 2026-03-24 19:01:04

160

Views

Show that $Ax^2+Bx+C>0 $ for all real $x$ if and only if $A>0$ and $B^2-4AC<0$.

Published on 24 Mar 2026 - 19:01

List Question

Prove central binomial coefficient upper bound

Prove that $|f(z)-f(0)-f'(0)z|\leq f(|z|)-f(0)-f'(0)|z|$ on unit disc

Corollary to Chernoff's bound: $P(x \geq a+b) \leq e^{-2b^2/n}$

Is the following inequality true: $x^{t}y^{1-t} \geq tx+(1-t)y$ for $t\in [0,1], x,y > 0$?

Question regarding absolute equalities vs. absolute inequalities

Square root of two positive integers less than or equal to the sum of both integers direct proof

Is $\pmb{x}<\pmb{y}$ implies $A\pmb{x}<A\pmb{y}$ when $A$ is positive definite?

Inequality in a delay differential equation

How to prove $f(x)=x^4$ is concave up by definition?

Does the inequality $\frac{p^Tp}{p^TAp} < 2\frac{p^TA^{-1}p}{p^Tp}$ hold?

How do I solve a quadratic (parabola) inequality with complex roots?

Proving that E[L] ≤ E[L|L>n], where where the inequality is strict if P(L≤ n)> 0

$a + b = 2$ implies $a^c + b^c \ge 2$ for any real $c \ge 1$

show this nice and hard inequality with $ \prod_{i=1}^{n}|x_{i}-y_{i}|<e^{\frac{n}{2}}$

Show that $Ax^2+Bx+C>0 $ for all real $x$ if and only if $A>0$ and $B^2-4AC<0$.

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