Question

Is this sufficient to prove that the positive rational number is countable?

score 34 · Answer 1 · 2026-04-13 23:28:07

34

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Is this sufficient to prove that the positive rational number is countable?

Published on 13 Apr 2026 - 23:28

score 399 · Answer 2 · 2026-04-09 19:33:00

399

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How does summation work on big O notation

Published on 09 Apr 2026 - 19:33

score 144 · Answer 3 · 2026-04-26 08:35:23

144

Views

Sum and integral. Swap?

Published on 26 Apr 2026 - 8:35

score 72 · Answer 4 · 2026-04-15 10:48:33

72

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How to simplify$\sum_{i = 0}^{k - 1}{5^{i}\left(\frac{n}{2^{i}}\right)^{2}\left(\lg\frac{n}{2^{i}}\right)^{2}}$

Published on 15 Apr 2026 - 10:48

score 39 · Answer 5 · 2026-04-15 18:03:41

39

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If $\ U_{r} = \frac{1+\ U_{r-1}}{2}$ and $\ U_{0}=0$, Find $\lim_{n\to\infty} \sum_{r=1}^n \ U_{r}$

Published on 15 Apr 2026 - 18:03

score 79 · Answer 6 · 2026-04-13 01:44:32

79

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How to apply ratio test to prove convergence of $\sum_{n=1}^{\infty} \frac{(2^n n!)^2}{(2n)^{2n}}$

Published on 13 Apr 2026 - 1:44

score 661 · Answer 7 · 2026-04-10 19:31:49

661

Views

How are Gerstner wave normals derived?

Published on 10 Apr 2026 - 19:31

score 811 · Answer 8 · 2026-04-16 05:16:17

811

Views

Simplification of ${0 \binom{n}{0} + 2 \binom{n}{2} + 4 \binom{n}{4} + 6 \binom{n}{6} + \cdots}$

Published on 16 Apr 2026 - 5:16

score 101 · Answer 9 · 2026-04-19 12:09:09

101

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Prove $\frac{a}{a^3+b^2+1}+\frac{b}{b^3+c^2+1}+\frac{c}{c^3+a^2+1}\le 1$,if $ab+bc+ca=3$

Published on 19 Apr 2026 - 12:09

score 122 · Answer 10 · 2026-04-16 13:57:53

122

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If $a, b, c, d\in\mathbb R^+, $ then prove that $\displaystyle\frac{a-b}{b+c}+\frac{b-c}{c+d}+\frac{c-d}{d+a}+\frac{d-a}{a+b}\ge 0.$

Published on 16 Apr 2026 - 13:57

score 45 · Answer 11 · 2026-04-14 02:51:56

45

Views

Why does the combinatorial sum have the upper bound of $m$?

Published on 14 Apr 2026 - 2:51

score 46 · Answer 12 · 2026-04-16 00:14:32

46

Views

How to prove that $1-\sum_{n=1}^N \frac{2^{n-1}-1}{2^{n+1}(2^{n-1}+1)} \geq \frac{2^{N-1}+1}{2^N}$?

Published on 16 Apr 2026 - 0:14

score 57 · Answer 13 · 2026-04-08 17:42:59

57

Views

Tetrahedra nth formula

Published on 08 Apr 2026 - 17:42

score 36 · Answer 14 · 2026-03-27 02:50:48

36

Views

Doubts about this summation (Geometric series)

Published on 27 Mar 2026 - 2:50

score 34 · Answer 15 · 2026-04-11 19:14:08

34

Views

Estimation of a sum involving multiplicative character

Published on 11 Apr 2026 - 19:14

List Question

Is this sufficient to prove that the positive rational number is countable?

How does summation work on big O notation

Sum and integral. Swap?

How to simplify$\sum_{i = 0}^{k - 1}{5^{i}\left(\frac{n}{2^{i}}\right)^{2}\left(\lg\frac{n}{2^{i}}\right)^{2}}$

If $\ U_{r} = \frac{1+\ U_{r-1}}{2}$ and $\ U_{0}=0$, Find $\lim_{n\to\infty} \sum_{r=1}^n \ U_{r}$

How to apply ratio test to prove convergence of $\sum_{n=1}^{\infty} \frac{(2^n n!)^2}{(2n)^{2n}}$

How are Gerstner wave normals derived?

Simplification of ${0 \binom{n}{0} + 2 \binom{n}{2} + 4 \binom{n}{4} + 6 \binom{n}{6} + \cdots}$

Prove $\frac{a}{a^3+b^2+1}+\frac{b}{b^3+c^2+1}+\frac{c}{c^3+a^2+1}\le 1$,if $ab+bc+ca=3$

If $a, b, c, d\in\mathbb R^+, $ then prove that $\displaystyle\frac{a-b}{b+c}+\frac{b-c}{c+d}+\frac{c-d}{d+a}+\frac{d-a}{a+b}\ge 0.$

Why does the combinatorial sum have the upper bound of $m$?

How to prove that $1-\sum_{n=1}^N \frac{2^{n-1}-1}{2^{n+1}(2^{n-1}+1)} \geq \frac{2^{N-1}+1}{2^N}$?

Tetrahedra nth formula

Doubts about this summation (Geometric series)

Estimation of a sum involving multiplicative character

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