🗊Презентация Ryspekov’s Fibonacci sequence formula

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Ryspekov’s Fibonacci sequence formula


Global Revival Inc.

June 11, 2017.
Описание слайда:
Ryspekov’s Fibonacci sequence formula Global Revival Inc. June 11, 2017.

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Ryspekov’s Fibonacci sequence formula, слайд №2
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Ryspekov’s Fibonacci sequence formula, слайд №3
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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?
Описание 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?

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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.
Описание 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.

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Binet’s formula’s problems
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Binet’s formula’s problems

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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.
Описание 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.

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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))
Описание 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))

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Math Rounding (towards zero)
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Math Rounding (towards zero)

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Ryspekov’s Fibonacci sequence formula.
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Ryspekov’s Fibonacci sequence formula.

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Ryspekov’s Fibonacci sequence formula 
(short example for computers)
C++ programing language
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Ryspekov’s Fibonacci sequence formula (short example for computers) C++ programing language

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Ryspekov’s Fibonacci sequence formula, слайд №12
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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!
Описание 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!



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