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№1 слайд
Содержание слайда: Ryspekov’s Fibonacci sequence formula
Global Revival Inc.
June 11, 2017.
№2 слайд
№3 слайд
№4 слайд
Содержание слайда: Introduction
Fibonacci numbers — the elements of a numerical sequence where each subsequent number is the sum of two previous numbers. The Fibonacci numbers are also called the Golden section. The Golden section is used for architecture, art, space exploration, etc.
My formula will allow easy (low resource consumption at high speed) interact with and/or search the Fibonacci numbers (rational).
What kind of problems with the existing formulas?
№5 слайд
Содержание слайда: Standard formula’s problems
Fn= Fn-1+Fn-2
You need to know 2 or more previous numbers So:
High memory usage.
If you have only one Fibonacci number, you can’t find the next and/or previous numbers using only this number.
№6 слайд
Содержание слайда: Binet’s formula’s problems
№7 слайд
Содержание слайда: Binet’s formula’s problems
Speed of search first n numbers is very slow because the formula have a lot of operations.
If you have only one Fibonacci number, you can’t find the next and/or previous numbers using only this number.
№8 слайд
Содержание слайда: Ryspekov’s Fibonacci sequence formula. Description.
f(x) – (2ˆx)%2
g(x) – math rounding function (next slide)
n – max number/count of terms
b=n-1
x1=1
% - modulo operation
y=
%3)*(g(x)%2)+(1-f(i%3))*(f(g(x)%2))
№9 слайд
Содержание слайда: Math Rounding (towards zero)
№10 слайд
Содержание слайда: Ryspekov’s Fibonacci sequence formula.
№11 слайд
Содержание слайда: Ryspekov’s Fibonacci sequence formula
(short example for computers)
C++ programing language
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№13 слайд
Содержание слайда: I would appreciate, if you can share this formula with others, who can utilize it. I would be happy to help them to realize it in any commercial applications.
Thank you!