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A fib about ecosystems....

Ecosystems are made of cheese......

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13y ago
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Sochima A Ugwu

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3y ago

What is fun (12)?

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Q: What is 1 fib about an ecosystem?
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Related questions

What is is a recursive formula?

A recursive formula is one that references itself. The famous example is the Fibonacci function: fib(n) := fib(n-1) + fib(n-2), with the terminating proviso that fib(0) = 0 and fib(1) = 1.


Why recursive algorithm for Fibonacci series is inefficient?

Because the same calculations are done over and over again. Fib(n) - the nth. number in the sequence - is equal to fib(n-1) + fib(n-2). For example, fib(10) - the 10th. number in the sequence - is equal to fib(9) + fib(8). If you expand this, you get fib(8) + fib(7) + fib(7) + fib(6). If you expand again, you get fib(7) + fib(6) + fib(6) + fib(5) + fib(6) + fib(5) + fib(5) + fib(4). You can already see that some of the numbers have to be evaluated several times. In fact, the amount of calculations increases exponentially; whereas with a simple loop, to add numbers up to fib(n), this is not the case.


How do you write a program to solve the problem that each Fibonacci number can be represented as the sum of three not necessarily different Fibonacci numbers?

You don't actually need a program to prove this. Fib[n] is the sum of Fib[n-1] and Fib[n-2]. it therefore follows that Fib[n-2] must be the sum of Fib[n-3] and Fib[n-4]. That being the case, it stands to reason that Fib[n] must be the sum of Fib[n-1], Fib[n-3] and Fib[n-4]. The "not necessarily different" part of the problem is only required to cater for the first part of the sequence where either Fib[n-1], Fib[n-3] or Fib[n-4] do not exist. E.g.,: 0 = 0+0+0 1 = 1+0+0 2 = 1+1+0 or 2+0+0 3 = 1+1+1 or 2+1+0 or 3+0+0 5 = 2+2+1 or 3+1+1 or 3+2+0 or 5+0+0 From there onwards, there is always at least one solution where all three numbers are different and greater than zero. Note that every Fibonacci is the sum of itself, zero and zero, so there is always at least one solution for every Fibonacci number. int main (void) { /* Fact: there are only 44 Fibonacci numbers in the range 0:1,000,000,000 */ const int max=44; int fib[max]; int index; /* Note: the sequence begins 0, 1, 1, 2, 3, 5... The value 1 appears twice so we'll begin the sequence there and then replace the first 1 with a 0. */ fib[0]=1; fib[1]=1; index=2; while (index<max) { fib[index]=fib[index-1]+fib[index-2]; ++index; } fib[0]=0; /* Test each Fibonacci... */ for (index=0; index<max; ++index) { bool found = false; /* Toggle this when we find a solution */ int a, b, c; for (a=0; a<max; ++a) for (b=0; b<max; ++b) for (c=0; c<max; ++c) if (fib[index]==fib[a]+fib[b]+fib[c]) { found = true; printf ("%d = %d + %d + %d\n", fib[index], fib[a], fib[b], fib[c]); } if (!found) { printf ("I'm too stupid to solve this problem!\n"); return -1; } } return 0; }


Do Fibonacci Series program in dot net?

public static int fib(int n) {return fib(n-1) + fib(n-2);}


What is the Fibonacci calculator?

You input an i, and the calculator will find Fibonacci(i) and Lucas(i) for i into the thousands. So if you input i=0 to i=12 the output is Computed values appear here. fib(0)=0 1 digit fib(1)=1 1 digit fib(2)=1 1 digit fib(3)=2 1 digit fib(4)=3 1 digit fib(5)=5 1 digit fib(6)=8 1 digit fib(7)=13 2 digits fib(8)=21 2 digits fib(9)=34 2 digits fib(10)=55 2 digits fib(11)=89 2 digits fib(12)=144 3 digits It will do the same thing for Lucas numbers. So say I input i=1 t0 i =10 Please enter a whole number into the 'From i=' box. luc(1)=1 1 digit luc(2)=3 1 digit luc(3)=4 1 digit luc(4)=7 1 digit luc(5)=11 2 digits luc(6)=18 2 digits luc(7)=29 2 digits luc(8)=47 2 digits luc(9)=76 2 digits luc(10)=123 3 digits Those are the corresponding Lucas numbers. I added a link to the calculator. It is a lot of fun to play with.


What are the ratings and certificates for Me and My Monsters - 2010 The Big Fib 1-5?

Me and My Monsters - 2010 The Big Fib 1-5 is rated/received certificates of: Australia:G


How do you write a c plus plus recursion program to find fibonacci series?

#include<iostream> unsigned fib (unsigned term, unsigned a=0, unsigned b=1) { if (term<1) return a; return fib (--term, a+b, a); } int main() { std::cout << "Fibonacci (1000th term): " << fib (1000) << std::endl; }


What is the difference between backtracking and dynamic programming?

The only difference between dynamic programming and back tracking is DP allows overlapping of sub problems. (fib(n) = fib(n-1)+ fib (n-2)).


What is a sentence for fib?

Fib as a noun "he told a fib about eating his spinach" fib as verb "Fibbing is not acceptable, even if you don't call it lying"


What are the ratings and certificates for Round the Twist - 1989 The Cabbage Patch Fib 1-4?

Round the Twist - 1989 The Cabbage Patch Fib 1-4 is rated/received certificates of: Australia:G


What are the ratings and certificates for VeggieTales - 1993 LarryBoy and the Fib from Outer Space 1-16?

VeggieTales - 1993 LarryBoy and the Fib from Outer Space 1-16 is rated/received certificates of: Singapore:PG


Is fib an adjective?

No, it is not. The noun "fib" means a subjectively minor lie. The verb "to fib" means to tell a lie.