Question

Prove the Number of Additions of Fibonacci Number Algorithm

score 4.1k · Answer 1 · 2026-04-15 09:38:03

4.1k

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Prove the Number of Additions of Fibonacci Number Algorithm

Published on 15 Apr 2026 - 9:38

score 40 · Answer 2 · 2026-04-12 21:07:32

40

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I have a recursively defined function, and another function involving powers of a matrix. How can I show that they are equal?

Published on 12 Apr 2026 - 21:07

score 9.8k · Answer 3 · 2026-04-14 15:52:31

9.8k

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How do you solve a recurrence with a summation function inside: $t(n) = 1 + \sum\limits_{j=0}^{n-1} t(j)$

Published on 14 Apr 2026 - 15:52

score 2.8k · Answer 4 · 2026-04-13 19:51:56

2.8k

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Solving the recurrence $t(n)=t(n/2)+n^2$ using the iteration method

Published on 13 Apr 2026 - 19:51

score 73 · Answer 5 · 2026-04-13 05:46:00

73

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Difference equation: $y_{k+1} = y_{k} + \frac{c}{2k}$

Published on 13 Apr 2026 - 5:46

score 137 · Answer 6 · 2026-04-15 06:04:41

137

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Asymptotic growth of solutions of $T(n)=T(2n/3 +4)+\Theta(n)$

Published on 15 Apr 2026 - 6:04

score 1.1k · Answer 7 · 2026-04-13 09:58:34

1.1k

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LambertW(k)/k by tetration for natural numbers.

Published on 13 Apr 2026 - 9:58

score 9.3k · Answer 8 · 2026-04-12 13:00:04

9.3k

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Solving a recurrence relation using repeated substitution

Published on 12 Apr 2026 - 13:00

score 69 · Answer 9 · 2026-04-11 23:17:11

69

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Recurrence relation coefficients

Published on 11 Apr 2026 - 23:17

score 614 · Answer 10 · 2026-04-16 09:11:41

614

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Finding the upper bound for this recursion: $T(n) = T(\log n) + O(\log n)$

Published on 16 Apr 2026 - 9:11

score 182 · Answer 11 · 2026-04-16 21:26:50

182

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We have $T(n) \leq T(\lceil \frac{n}{5} \rceil) + T(\lceil \frac{7n}{10} \rceil)$. Show that $T(n) < c'n$.

Published on 16 Apr 2026 - 21:26

score 139 · Answer 12 · 2026-04-08 17:49:17

139

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How do I solve this recurrence equation using substitution?

Published on 08 Apr 2026 - 17:49

score 1.3k · Answer 13 · 2026-04-12 12:41:38

1.3k

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Where is the value of the variable $\epsilon$ obtained in the following explanation my professor gave?

Published on 12 Apr 2026 - 12:41

score 72 · Answer 14 · 2026-04-12 06:26:01

72

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How does my textbook come up with this statement? I don't believe it to be true.

Published on 12 Apr 2026 - 6:26

score 291 · Answer 15 · 2026-04-17 01:34:10

291

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Find the solution to the following non-homogenous recurrence relation:

Published on 17 Apr 2026 - 1:34

List Question

Prove the Number of Additions of Fibonacci Number Algorithm

I have a recursively defined function, and another function involving powers of a matrix. How can I show that they are equal?

How do you solve a recurrence with a summation function inside: $t(n) = 1 + \sum\limits_{j=0}^{n-1} t(j)$

Solving the recurrence $t(n)=t(n/2)+n^2$ using the iteration method

Difference equation: $y_{k+1} = y_{k} + \frac{c}{2k}$

Asymptotic growth of solutions of $T(n)=T(2n/3 +4)+\Theta(n)$

LambertW(k)/k by tetration for natural numbers.

Solving a recurrence relation using repeated substitution

Recurrence relation coefficients

Finding the upper bound for this recursion: $T(n) = T(\log n) + O(\log n)$

We have $T(n) \leq T(\lceil \frac{n}{5} \rceil) + T(\lceil \frac{7n}{10} \rceil)$. Show that $T(n) < c'n$.

How do I solve this recurrence equation using substitution?

Where is the value of the variable $\epsilon$ obtained in the following explanation my professor gave?

How does my textbook come up with this statement? I don't believe it to be true.

Find the solution to the following non-homogenous recurrence relation:

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