Showing posts with label Fibonacci number series. Show all posts
Showing posts with label Fibonacci number series. Show all posts
Monday, May 23, 2011
Fibonacci quotes
Fibonacci quotes - Fibonacci quotes are derived applications of Fibonacci mathematical theories. One of them questions about the number of rabbits that can be bred from a single pair in a year. Differentiating into specifics, the quote says that a man owns a pair of rabbits enclosed inside a walled structure. They can breed every month a pair and start breeding in the second month after their month.
Fibonacci Golden Rule
Fibonacci Golden Rule - The golden ratio has been a subject of extensive study for mathematicians and naturalists, and is accurately affiliated with the Fibonacci sequence. As the definition goes, Fibonacci sequence is the result of an explicit addition of its two preceding terms. Golden ratio, on the contrary, being derived from the formula: Fn=((Phin-(1-Phi)n)/Sqrt[5]; is the limit of the proportions obtained by dividing the preceding two terms. As the Fibonacci sequence progress rightwards, the ratio of the preceding two terms inches amazingly near to the golden ratio.
Fibonacci functions
Fibonacci functions - Fibonacci functions are represented as Fn = Fn-1 + Fn-2; where F denotes a function followed by a subscripted symbolization of its iteration. They can be alternately elucidated as 'a generalized form of Fibonacci numbers'. However, for reporting the magnitude for the nth term, adding the numbers iteratively may produce an uphill task (especially in cases where n is very large). Therefore, a special function has been devised to resolve this impediment, given by: an = [ Phin - (phi)n]/Sqrt[5]; where Phi = (1+Sqrt[5])/2.
Saturday, May 21, 2011
Fibonacci biography and history facts
Mathematical contributions of Fibonacci
Fibonacci introduced the arithmetic system of Hindu-Arabic fundamentals in Europe for the very first time. Its still the positional systems which are continued to be used till today. It contains ten digits and zero and a decimal point.
Fibonacci had written a book - Liber abbaci, the book on abacus or calculating, which explains the different logical methods for doing the arithmetic in the logical and decimal system. This book was completed by 1202 and simultaneously Fibonacci tried his level best to persuade and convince the other mathematicians to apply the system. This book is written in Latin and meticulously explains the different methods for addition, subtraction, multiplication and division. There are many different problems to further explain the process.
The Fibonacci numbers
The Fibonacci number series includes the consecutive addition of first two numbers to give the third one. For example, 0+1=1, 1+1=2, 2+1=3 and so on. So the Fibonacci numbers are 0, 1,2,3,5,8,13, 21, and 43 and so on. Amazingly, these Fibonacci numbers have their role in Forex trade and currency marketing. They aid in the charting of curves, rectangles and triangles through which the forecasting of the forex market is done.
Contributions
The important contribution of Fibonacci in the number theory is one of the most important incorporations in the domain of arithmetic and calculations. He conferred the following benefits.
- Implementation of square root notation.
- Introduction of bars in the fractions. Earlier, the numerator used to have quotations around it.
Later it was discovered that the Fibonacci numbers and the respective series were not only limited to the arithmetic but it also played a pivotal role in economics, commerce and trading sectors too.
Fibonacci Forex trading
The concept of Fibonacci forex trading has been used by millions of forex traders all around the world. These numbers forecast the coming oscillation in the forex charts. Though, at the same time, the prediction made cannot be proclaimed as flawless and straight hitting to the mark, the closeness it gets to is quite amazing. Thus, this has also led to the emergence of the Fibonacci price points. Thus, the Fibonacci levels are very elementary and fundamental concepts which need to be grasped before delving into the risky environment of forex trading.
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