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In finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. [1] It is named after the Fibonacci sequence of numbers, [1] whose ratios provide price levels to which markets tend to retrace a portion of a move, before a trend continues in the original direction.
A line break chart, also known as a three-line break chart, is a Japanese trading indicator and chart used to analyze the financial markets. [1] Invented in Japan, these charts had been used for over 150 years by traders there before being popularized by Steve Nison in the book Beyond Candlesticks .
This sequence of numbers of parents is the Fibonacci sequence. The number of ancestors at each level, F n, is the number of female ancestors, which is F n−1, plus the number of male ancestors, which is F n−2. [90] [91] This is under the unrealistic assumption that the ancestors at each level are otherwise unrelated.
Elliott developed his market model before he realized that it reflects the Fibonacci sequence. "When I discovered The Wave Principle action of market trends, I had never heard of either the Fibonacci Series or the Pythagorean Diagram". [1] The Fibonacci sequence is also closely connected to the Golden ratio (1.618).
A repfigit, or Keith number, is an integer such that, when its digits start a Fibonacci sequence with that number of digits, the original number is eventually reached. An example is 47, because the Fibonacci sequence starting with 4 and 7 (4, 7, 11, 18, 29, 47) reaches 47. A repfigit can be a tribonacci sequence if there are 3 digits in the ...
The k-Wall–Sun–Sun primes can be explicitly defined as primes p such that p 2 divides the k-Fibonacci number (()), where F k (n) = U n (k, −1) is a Lucas sequence of the first kind with discriminant D = k 2 + 4 and () is the Pisano period of k-Fibonacci numbers modulo p. [15]
Plot of the first 10,000 Pisano periods. In number theory, the nth Pisano period, written as π (n), is the period with which the sequence of Fibonacci numbers taken modulo n repeats.
Candlestick charts serve as a cornerstone of technical analysis. For example, when the bar is white and high relative to other time periods, it means buyers are very bullish. The opposite is true when there is a black bar. A candlestick pattern is a particular sequence of candlesticks on a candlestick chart, which is mainly used to identify trends.