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  2. Fibonacci search technique - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_search_technique

    Let k be defined as an element in F, the array of Fibonacci numbers. n = F m is the array size. If n is not a Fibonacci number, let F m be the smallest number in F that is greater than n. The array of Fibonacci numbers is defined where F k+2 = F k+1 + F k, when k ≥ 0, F 1 = 1, and F 0 = 1. To test whether an item is in the list of ordered ...

  3. Fibonacci coding - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_coding

    To encode an integer N: . Find the largest Fibonacci number equal to or less than N; subtract this number from N, keeping track of the remainder.; If the number subtracted was the i th Fibonacci number F(i), put a 1 in place i − 2 in the code word (counting the left most digit as place 0).

  4. Greedy algorithm for Egyptian fractions - Wikipedia

    en.wikipedia.org/wiki/Greedy_algorithm_for...

    The expansion produced by this method for a number is called the greedy Egyptian expansion, Sylvester expansion, or Fibonacci–Sylvester expansion of . However, the term Fibonacci expansion usually refers, not to this method, but to representation of integers as sums of Fibonacci numbers .

  5. Generalizations of Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of...

    The n-Fibonacci constant is the ratio toward which adjacent -Fibonacci numbers tend; it is also called the n th metallic mean, and it is the only positive root of =. For example, the case of n = 1 {\displaystyle n=1} is 1 + 5 2 {\displaystyle {\frac {1+{\sqrt {5}}}{2}}} , or the golden ratio , and the case of n = 2 {\displaystyle n=2} is 1 + 2 ...

  6. Hash function - Wikipedia

    en.wikipedia.org/wiki/Hash_function

    Fibonacci hashing is a form of multiplicative hashing in which the multiplier is 2 w / ϕ, where w is the machine word length and ϕ (phi) is the golden ratio (approximately 1.618). A property of this multiplier is that it uniformly distributes over the table space, blocks of consecutive keys with respect to any block of bits in the key.

  7. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    Conversely, each Fibonacci Box corresponds to a unique and primitive Pythagorean triple. In this section we shall use the Fibonacci Box in place of the primitive triple it represents. An infinite ternary tree containing all primitive Pythagorean triples/Fibonacci Boxes can be constructed by the following procedure. [10]

  8. Tiny C Compiler - Wikipedia

    en.wikipedia.org/wiki/Tiny_C_Compiler

    To calculate the 49th Fibonacci number, it took a MS Visual C++ program approximately 18% longer than the TCC compiled program. [citation needed] A test compared different C compilers by using them to compile the GNU C Compiler (GCC) itself, and then using the resulting compilers to compile GCC again. Compared to GCC 3.4.2, a TCC modified to ...

  9. Linear-feedback shift register - Wikipedia

    en.wikipedia.org/wiki/Linear-feedback_shift_register

    Binary LFSRs of both Fibonacci and Galois configurations can be expressed as linear functions using matrices in (see GF(2)). [9] Using the companion matrix of the characteristic polynomial of the LFSR and denoting the seed as a column vector ( a 0 , a 1 , … , a n − 1 ) T {\displaystyle (a_{0},a_{1},\dots ,a_{n-1})^{\mathrm {T} }} , the ...