Question

How to compute the time complexity of a triple nested loop represented by $\sum_{i=1}^{2n} \sum_{j=1}^{n} \sum_{k=j}^{n} i-j$

score 389 · Answer 1 · 2026-03-25 04:42:49

389

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How to compute the time complexity of a triple nested loop represented by $\sum_{i=1}^{2n} \sum_{j=1}^{n} \sum_{k=j}^{n} i-j$

Published on 25 Mar 2026 - 4:42

score 48 · Answer 2 · 2026-03-26 01:26:49

48

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Looking for formula or closed form for this series

Published on 26 Mar 2026 - 1:26

score 170 · Answer 3 · 2018-09-21 20:40:59

170

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Find the sum of the infinite series $1+ \frac{1}{2!}+ \frac{1}{4!}+\dotsb$

Published on 21 Sep 2018 - 20:40

score 1.3k · Answer 4 · 2026-03-27 18:39:46

1.3k

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Is there a general formula for the sum of combinations?

Published on 27 Mar 2026 - 18:39

score 44 · Answer 5 · 2018-09-22 02:53:28

44

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How to further solve following derivative equation with Summation

Published on 22 Sep 2018 - 2:53

score 365 · Answer 6 · 2026-03-26 12:37:50

365

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Prove by induction that $\sqrt{1}+\sqrt{2}+...+\sqrt{n} \geq \frac{2}{3}n\sqrt{n}$

Published on 26 Mar 2026 - 12:37

score 1.2k · Answer 7 · 2026-03-25 04:44:22

1.2k

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(Combinatorial?) Proof of the identity $\sum_{k=1}^n \frac {(-1)^k}{k\,(k+1)}\binom nk = \frac 12 + \frac 13 + \dots + \frac 1{n+1}$?

Published on 25 Mar 2026 - 4:44

score 2k · Answer 8 · 2026-03-25 23:38:49

2k

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Z-transform of $\sin{(n\frac{\pi}{2}(-1)^{n})}$

Published on 25 Mar 2026 - 23:38

score 421 · Answer 9 · 2026-03-27 15:18:05

421

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Einstein's summation convention with multiple terms

Published on 27 Mar 2026 - 15:18

score 3.7k · Answer 10 · 2018-09-22 18:27:35

3.7k

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Derivative of the summation of the log

Published on 22 Sep 2018 - 18:27

score 441 · Answer 11 · 2026-03-25 04:35:16

441

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Solving summations by upper bound - lower bound + 1

Published on 25 Mar 2026 - 4:35

score 335 · Answer 12 · 2018-09-23 04:25:22

335

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Trying to arrange sums in neat way

Published on 23 Sep 2018 - 4:25

score 142 · Answer 13 · 2026-03-25 11:11:58

142

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Series of Squares Under Triangle

Published on 25 Mar 2026 - 11:11

score 69 · Answer 14 · 2018-09-23 17:16:54

The calculated series of $T(n)$ is: $T(n)= \{1,3,6,10,15,21,28,36,45,55,66\}$ for $n=0$ to $n=10$, how do you write this using sigma notation?

score 90 · Answer 15 · 2018-09-23 18:49:26

90

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why $\sum_{n=2}^{+\infty}\frac{(2)^n}{n!} = e^{-2} - 3 $

Published on 23 Sep 2018 - 18:49

List Question

How to compute the time complexity of a triple nested loop represented by $\sum_{i=1}^{2n} \sum_{j=1}^{n} \sum_{k=j}^{n} i-j$

Looking for formula or closed form for this series

Find the sum of the infinite series $1+ \frac{1}{2!}+ \frac{1}{4!}+\dotsb$

Is there a general formula for the sum of combinations?

How to further solve following derivative equation with Summation

Prove by induction that $\sqrt{1}+\sqrt{2}+...+\sqrt{n} \geq \frac{2}{3}n\sqrt{n}$

(Combinatorial?) Proof of the identity $\sum_{k=1}^n \frac {(-1)^k}{k\,(k+1)}\binom nk = \frac 12 + \frac 13 + \dots + \frac 1{n+1}$?

Z-transform of $\sin{(n\frac{\pi}{2}(-1)^{n})}$

Einstein's summation convention with multiple terms

Derivative of the summation of the log

Solving summations by upper bound - lower bound + 1

Trying to arrange sums in neat way

Series of Squares Under Triangle

The calculated series of $T(n)$ is: $T(n)= \{1,3,6,10,15,21,28,36,45,55,66\}$ for $n=0$ to $n=10$, how do you write this using sigma notation?

why $\sum_{n=2}^{+\infty}\frac{(2)^n}{n!} = e^{-2} - 3 $

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