Question

show that the equation $3z^3+(2-3ai)z^2+(6+2bi)z+4=0$has exactly one real root

score 55 · Answer 1 · 2026-04-16 03:13:04

55

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show that the equation $3z^3+(2-3ai)z^2+(6+2bi)z+4=0$has exactly one real root

Published on 16 Apr 2026 - 3:13

score 92 · Answer 2 · 2015-11-17 21:07:47

92

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Proving a recurrence's $\Theta$ with induction

Published on 17 Nov 2015 - 21:07

score 1.9k · Answer 3 · 2026-04-02 14:43:13

1.9k

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How many binary numbers of length n do not contain the substring 000?

Published on 02 Apr 2026 - 14:43

score 877 · Answer 4 · 2026-04-16 03:28:30

877

Views

Find all function satisfying $f(f(n))+f(n)=2n+3k$

Published on 16 Apr 2026 - 3:28

score 996 · Answer 5 · 2026-04-11 21:02:11

996

Views

Create a recurrence relation for number of ways to construct something of length n

Published on 11 Apr 2026 - 21:02

score 206 · Answer 6 · 2026-04-08 00:42:28

206

Views

Solving a system of recurrence relations with or without generating functions

Published on 08 Apr 2026 - 0:42

score 65 · Answer 7 · 2015-11-20 14:11:00

65

Views

What's the order class of T(n) = n(T(n−1) + n) with T(1)=1?

Published on 20 Nov 2015 - 14:11

score 1.9k · Answer 8 · 2026-04-13 17:22:41

1.9k

Views

Find number of words of length n over alphabet {A, B, C} where any nonterminal A must be followed by B.

Published on 13 Apr 2026 - 17:22

score 921 · Answer 9 · 2026-04-13 17:37:41

921

Views

Recurrence equations with 2 or more recursive calls

Published on 13 Apr 2026 - 17:37

score 251 · Answer 10 · 2026-04-11 05:16:43

251

Views

Recurrence Relation - How to come up with a formula

Published on 11 Apr 2026 - 5:16

score 209 · Answer 11 · 2015-11-20 22:28:59

209

Views

Using the master theorem to find an upper bound for $T$, where $T(x) \leq 4 T(\left \lfloor{\frac{x}{2}} \right \rfloor) + x$

Published on 20 Nov 2015 - 22:28

score 345 · Answer 12 · 2026-05-03 08:55:45

345

Views

A recursion similar to the one for Bernoulli numbers

Published on 03 May 2026 - 8:55

score 354 · Answer 13 · 2026-04-10 23:13:26

354

Views

Finding a closed form solution for a recurrence

Published on 10 Apr 2026 - 23:13

score 727 · Answer 14 · 2026-04-16 10:38:39

727

Views

Solving the recurrence relation $a_k=3a_{k-1}+4a_{k-2}$ with $a_0=1$, $a_1=2$

Published on 16 Apr 2026 - 10:38

score 945 · Answer 15 · 2026-04-15 19:16:18

945

Views

Recursive Monotone Decreasing Sequence Proof ${x_{k}} = \frac{1}{2}\left({x_{k-1}+\frac{a}{{x_{k-1}}}}\right)$

Published on 15 Apr 2026 - 19:16

List Question

show that the equation $3z^3+(2-3ai)z^2+(6+2bi)z+4=0$has exactly one real root

Proving a recurrence's $\Theta$ with induction

How many binary numbers of length n do not contain the substring 000?

Find all function satisfying $f(f(n))+f(n)=2n+3k$

Create a recurrence relation for number of ways to construct something of length n

Solving a system of recurrence relations with or without generating functions

What's the order class of T(n) = n(T(n−1) + n) with T(1)=1?

Find number of words of length n over alphabet {A, B, C} where any nonterminal A must be followed by B.

Recurrence equations with 2 or more recursive calls

Recurrence Relation - How to come up with a formula

Using the master theorem to find an upper bound for $T$, where $T(x) \leq 4 T(\left \lfloor{\frac{x}{2}} \right \rfloor) + x$

A recursion similar to the one for Bernoulli numbers

Finding a closed form solution for a recurrence

Solving the recurrence relation $a_k=3a_{k-1}+4a_{k-2}$ with $a_0=1$, $a_1=2$

Recursive Monotone Decreasing Sequence Proof ${x_{k}} = \frac{1}{2}\left({x_{k-1}+\frac{a}{{x_{k-1}}}}\right)$

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