Question

Prove: $ x + 9/x \geq 6$ for every positive real number $x$

score 33 · Answer 1 · 2026-04-16 11:09:33

33

Views

Prove: $ x + 9/x \geq 6$ for every positive real number $x$

Published on 16 Apr 2026 - 11:09

score 143 · Answer 2 · 2026-04-14 11:58:15

143

Views

Prove Fib(n) is closest integer to golden ratio

Published on 14 Apr 2026 - 11:58

score 458 · Answer 3 · 2026-04-17 13:55:45

458

Views

Show that $\sqrt{1+x}<1+\frac{x}{2}$ for all $x>0$

Published on 17 Apr 2026 - 13:55

score 56 · Answer 4 · 2026-03-25 17:41:57

56

Views

Proof verification: Possibly false argument in the proof of $\int_{I}g(x)dF(u)=\int_{I}g(u)F'(u)du$ (Riemann-Stieltjes)

Published on 25 Mar 2026 - 17:41

score 44 · Answer 5 · 2026-04-17 14:32:00

44

Views

Proof question about the definition of the integral via Darboux sums

Published on 17 Apr 2026 - 14:32

score 176 · Answer 6 · 2026-04-15 13:32:43

176

Views

IMO 1994 problem 5

Published on 15 Apr 2026 - 13:32

score 691 · Answer 7 · 2026-04-16 07:04:49

691

Views

$T:V \rightarrow W$ be a linear map and $v_1...v_n$ be basis for $V$. Prove $\{T(v_1)...(T(v_n\}$ is basis for range(T). Is this proof correct?

Published on 16 Apr 2026 - 7:04

score 80 · Answer 8 · 2026-04-15 21:57:53

80

Views

If $L$ is semisimple, how is this ideal of $L$ semisimple?

Published on 15 Apr 2026 - 21:57

score 125 · Answer 9 · 2026-04-14 19:50:20

125

Views

Proving $(\sin x)^{\sin x}<\cos x$ for $0<x\leq\frac{2\pi}{9}$

Published on 14 Apr 2026 - 19:50

score 146 · Answer 10 · 2026-04-14 01:39:46

146

Views

understanding the proof: there exists a trigonometric polynomial, which an $(\epsilon, \delta)$ approximation to the identity

Published on 14 Apr 2026 - 1:39

score 102 · Answer 11 · 2026-04-11 09:56:25

102

Views

Understanding proof that $d_n : H_n(S_) \rightarrow H_{n-1}(S_'')$ is a homomorphism for a short exact sequence of complexes.

Published on 11 Apr 2026 - 9:56

score 432 · Answer 12 · 2026-04-14 11:53:27

432

Views

Proof: Every point-finite open cover in a normal space has an open shrinkage

Published on 14 Apr 2026 - 11:53

score 45 · Answer 13 · 2026-04-15 08:51:15

45

Views

Let $\textbf{u}$ is any vectors, and $c$ is any scalars, prove that if $c \textbf{u} = \textbf{0}$ then either $c = 0$ or $\textbf{u} = \textbf{0}$.

Published on 15 Apr 2026 - 8:51

score 63 · Answer 14 · 2026-04-15 06:23:57

63

Views

Induction step in Lévy's construction of brownian motion: Why is $B(d)$ independent of $(Z_{t}: t \in \mathcal{D} \backslash \mathcal{D}_{n})$

Published on 15 Apr 2026 - 6:23

score 200 · Answer 15 · 2026-04-14 09:19:23

200

Views

Am I correct in saying that that is NOT proof by contradiction?

Published on 14 Apr 2026 - 9:19

List Question

Prove: $ x + 9/x \geq 6$ for every positive real number $x$

Prove Fib(n) is closest integer to golden ratio

Show that $\sqrt{1+x}<1+\frac{x}{2}$ for all $x>0$

Proof verification: Possibly false argument in the proof of $\int_{I}g(x)dF(u)=\int_{I}g(u)F'(u)du$ (Riemann-Stieltjes)

Proof question about the definition of the integral via Darboux sums

IMO 1994 problem 5

$T:V \rightarrow W$ be a linear map and $v_1...v_n$ be basis for $V$. Prove $\{T(v_1)...(T(v_n\}$ is basis for range(T). Is this proof correct?

If $L$ is semisimple, how is this ideal of $L$ semisimple?

Proving $(\sin x)^{\sin x}<\cos x$ for $0<x\leq\frac{2\pi}{9}$

understanding the proof: there exists a trigonometric polynomial, which an $(\epsilon, \delta)$ approximation to the identity

Understanding proof that $d_n : H_n(S_) \rightarrow H_{n-1}(S_'')$ is a homomorphism for a short exact sequence of complexes.

Proof: Every point-finite open cover in a normal space has an open shrinkage

Let $\textbf{u}$ is any vectors, and $c$ is any scalars, prove that if $c \textbf{u} = \textbf{0}$ then either $c = 0$ or $\textbf{u} = \textbf{0}$.

Induction step in Lévy's construction of brownian motion: Why is $B(d)$ independent of $(Z_{t}: t \in \mathcal{D} \backslash \mathcal{D}_{n})$

Am I correct in saying that that is NOT proof by contradiction?

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