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A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple ...
Directed graph of all 100 2-digit pseudorandom numbers obtained using the middle-square method with n = 2. In mathematics and computer science, the middle-square method is a method of generating pseudorandom numbers. In practice it is a highly flawed method for many practical purposes, since its period is usually very short and it has some ...
[7] Jeffrey Lagarias stated in 2010 that the Collatz conjecture "is an extraordinarily difficult problem, completely out of reach of present day mathematics". [8] However, though the Collatz conjecture itself remains open, efforts to solve the problem have led to new techniques and many partial results.
KISS (algorithm) KISS (Keep it Simple Stupid) is a family of pseudorandom number generators introduced by George Marsaglia. [1][2][3] Starting from 1998 Marsaglia posted on various newsgroups including sci.math, comp.lang.c, comp.lang.fortran and sci.stat.math several versions of the generators. All KISS generators combine three or four ...
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.
The output of a multiply-with-carry generator is equivalent to the radix-b expansion of a fraction with denominator p = ab r − 1. Here is an example for the simple case of b = 10 and r = 1, so the result is a repeating decimal .
A random binary tree is a random tree drawn from a certain probability distribution on binary trees. In many cases, these probability distributions are defined using a given set of keys, and describe the probabilities of binary search trees having those keys. However, other distributions are possible, not necessarily generating binary search ...
A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include 1 2 , − 8 5 , −8 5 , and 8 −5 .
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