# Fibonacci numbers

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Related to Fibonacci numbers: Golden ratio

## Fibonacci numbers

A series of whole numbers in which each number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, etc. Fibonacci numbers are used in a variety of algorithms, including stock market analysis. They are used to speed up binary searches, whereby the search is divided into the two previous numbers. For example, 13 items are divided into 8 and 5 items, and 8 items are divided into 5 and 3.
References in periodicals archive ?
For completeness, we should prove the three lemmas concerning Fibonacci numbers that were used in the proof that [c.
Eventually, we used the Fibonacci numbers to establish that the ratio of cases with isolated people to the total number of possibilities approaches one as the number of people increases.
Before we can understand why these ratios were chosen, we need to have a better understanding of the Fibonacci number series.
Fibonacci numbers are an infinite series comprising members each the sum of the previous two members.
These are called Fibonacci numbers and are generated by adding the previous two numbers in the list together to form the next and so on.
Professionals are actually paid for the fun of trading using visual cues like moving average oscillators, Fibonacci numbers, and Japanese candlestick patterns.
The numbers of spirals are most often two consecutive Fibonacci numbers.
And with its stunning range of topics (early Greek fascination with flowery perfumes, the intriguing number patterns found in nature known as Fibonacci numbers, the relationship between colors and emotion) it offers many interdisciplinary tie-ins between science and other classes such as world studies, math and health.
Fibonacci numbers can be applied to progressions of price support and resistance levels by using an initial price as the first number of a Fibonacci series and then predicting the recurrence of another price support or resistence level.
The appearance here of the Fibonacci numbers may well be a simple coincidence; or this may be one of those "redundant" convergences of diverse planning methods seen elsewhere in Florentine planning (Trachtenberg, 1997, 62; 1980).
Aside from these patterns, Elliott also based its postulate on the sequence of Fibonacci numbers.
Noting the pervasiveness of Fibonacci numbers in nature, Penrose even suggests that information processing advantages may be conferred by the Fibonacci number structure of the microtubules within the neuron cytoskeletons.

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