The Fibonacci Sequence: Nature’s Little Secret

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Tv’s Dirty Little Secret: the Negative Effect

Timing online auctions to attract a large number of prospective buyers is important for sellers. This study 16 examines whether online auction sellers need to account for exogenous effects like TV viewing when timing and 17 predicting their auction results. An ongoing debate questions whether TV viewers can spread their attention 18 across multiple devices while watching TV, for example, by con...

متن کامل

The Fibonacci Sequence Mod m

We know that ( ) mod n F p forms a periodic sequence (vide Theorem 4). Let ( ) h p denote the length of the sequence. Let p be a prime such that: { } ( ) 2,3 mod 5 p ≡ a sufficient and necessary condition to ensure that ( ) 2 2 h p p + . We shall denote this group 1 G F . Let { } 1, 2 , , k D d d d = be the non-empty set of k divisors of 2 2 p + . Then for ( ) [ ] 1 min G i F h p d = such that ...

متن کامل

On the origin of the Fibonacci Sequence

Herein we investigate the historical origins of the Fibonacci numbers. After emphasising the importance of these numbers, we examine a standard conjecture concerning their origin only to demonstrate that it is not supported by historical chronology. Based on more recent findings, we propose instead an alternative conjecture through a close examination of the historical and historical/mathematic...

متن کامل

Polynomial Generalizations of the Pell sequence and the Fibonacci sequence

We provide three new polynomial generalizations for the Pell sequence an, also, new formulas for this sequence. An interesting relation, in terms of partitions, between the Pell and the Fibonacci sequences is given, Finally two combinatorial interpretations for the Fibonacci numbers are given by making use of the Rogers-Ramanujan identities.

متن کامل

A Generalized Fibonacci Sequence and the Diophantine Equations $x^2pm kxy-y^2pm x=0$

In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the Diophantine equations $x^2pmkxy-y^2pm x=0$, where $k$ is positive integer, and describe the structure of solutions.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: CRIS - Bulletin of the Centre for Research and Interdisciplinary Study

سال: 2014

ISSN: 1805-5117

DOI: 10.2478/cris-2014-0001