Encyclopedia - Randomness: Encyclopedia - Randomness
The word random is used to express apparent lack of purpose, cause, or order. The term randomness is often used synonymously with a numbe...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Generating Randomness
The many applications of randomness have led to many different methods for generating random data. These methods may vary as to how unpre...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Generating Randomness
The many applications of randomness have led to many different methods for generating random data. These methods may vary as to how unpre...   » Read the article

Encyclopedia - Applications Of Randomness: Encyclopedia - Applications Of Randomness
Randomness has many uses in gambling, divination, statistics, cryptography, art, etc. Note that these uses may have different requirement...   » Read the article

Encyclopedia - Algebra Of Random Variables: Encyclopedia - Algebra Of Random Variables
In the algebraic axiomatization of probability theory, one of whose main proponents was Irving Segal, the primary concept is not that of ...   » Read the article

Encyclopedia - Random Access Memory: Encyclopedia - Random Access Memory
Random-access memory (commonly known by its acronym RAM) refers to data storage formats and equipment that allow the stored data to be ac...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia - Random Number Generator
A random number generator is a computational or physical device designed to generate a sequence of numbers that does not have any easily ...   » Read the article

Encyclopedia - Chaitin–kolmogorov Randomness: Encyclopedia - Chaitin–kolmogorov Randomness
Chaitin-Kolmogorov randomness (also called algorithmic randomness) defines a string (usually of bits) as being random if and only if it i...   » Read the article

Encyclopedia - Alignments Of Random Points: Encyclopedia - Alignments Of Random Points
Statistics shows that if you put a large number of random points on a bounded flat surface you can find many alignments of random points....   » Read the article

Encyclopedia - Dynamic Random Access Memory: Encyclopedia - Dynamic Random Access Memory
DRAM is a type of random access memory that stores each bit of data in a separate capacitor. The number of electrons stored in the capaci...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Applications And Use Of Randomness
"Unpredictable" random numbers were first investigated in the context of gambling, and many randomizing devices such as dice, shuffling p...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Study Of Randomness
Many scientific fields are concerned with randomness : Algorithmic probability Chaos theory Game theory Information theory Pattern ...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Study Of Randomness
Many scientific fields are concerned with randomness : Algorithmic probability Chaos theory Cryptography Game theory Information th...   » Read the article

Encyclopedia - Random Variable: Encyclopedia Ii - Random Variable - Equivalence Of Random Variables
There are several different senses in which random variables can be considered to be equivalent. Two random variables can be equal, equal...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Randomness Versus Unpredictability
Randomness should not be confused with practical unpredictability, which is a related idea in ordinary usage. Some mathematical systems, ...   » Read the article

Encyclopedia - Randomization: Encyclopedia Ii - Randomization - Applications
Randomization is used extensively in the field of gambling. Imperfect randomization may allow a skilled gambler to have an advantage, so ...   » Read the article

Encyclopedia - Randomization: Encyclopedia Ii - Randomization - Techniques
Although historically "manual" randomization techniques (such as shuffling cards, drawing pieces of paper from a bag, spinning a roulette...   » Read the article

Encyclopedia - Random Variable: Encyclopedia Ii - Random Variable - Functions Of Random Variables
If we have a random variable X on Ω and a measurable function f: R → R, then Y = f(X) will also be a random variable on Ω, since the ...   » Read the article

Encyclopedia - Random Variable: Encyclopedia Ii - Random Variable - Convergence
Much of mathematical statistics consists in proving convergence results for certain sequences of random variables; see for instance the l...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - Misconceptions/logical Fallacies
Popular perceptions of randomness are frequently wrong, based on logical fallacies. Following is an attempt to identify the source of suc...   » Read the article

Encyclopedia - Randomness: Encyclopedia Ii - Randomness - History
Humankind has been concerned with randomness since prehistoric times, mostly through divination (reading messages in random patterns) and...   » Read the article

Encyclopedia - Random Graph: Encyclopedia Ii - Random Graph - Random Graph Models
A random graph is obtained by starting with a set of n vertices and adding edges between them at random. Different random graph models pr...   » Read the article

Encyclopedia - Random Graph: Encyclopedia Ii - Random Graph - Properties Of Random Graphs
The theory of random graphs studies typical properties of random graphs, those that hold with high probability for graphs drawn from a pa...   » Read the article

Encyclopedia - Random Variable: Encyclopedia Ii - Random Variable - Definitions
Random variable - Random variables. Some consider the expression "random variable" a misnomer: a random variable is a function mapping ...   » Read the article

Encyclopedia - Random Variable: Encyclopedia Ii - Random Variable - Definitions
Random variable - Random variables. Some consider the expression random variable a misnomer, as a random variable is not a variable but...   » Read the article

Encyclopedia - Random Variable: Encyclopedia Ii - Random Variable - Moments
The probability distribution of random variable is often characterised by a small number of parameters, which also have a practical inter...   » Read the article

Encyclopedia - Randomized Algorithm: Encyclopedia Ii - Randomized Algorithm - Complexity
Computational complexity theory, the study of the computational resources required to solve a given problem, models randomized algorithms...   » Read the article

Encyclopedia - Applications Of Randomness: Encyclopedia Ii - Applications Of Randomness - Science
Random numbers have uses in physics (such as noise resonance studies), engineering, and operations research. Many methods of statistical ...   » Read the article

Encyclopedia - Applications Of Randomness: Encyclopedia Ii - Applications Of Randomness - Cryptography
A ubiquitous use of unpredictable random numbers is in cryptography which underlies most of the attempts to provide security in modern co...   » Read the article

Encyclopedia - Random Field: Encyclopedia Ii - Random Field - Mathematically
In probability theory, let S = {X1, ..., Xn}, with the Xi in {0, 1, ..., G − 1}, be a set of random variables on the sample s...   » Read the article

Encyclopedia - Randomized Algorithm: Encyclopedia Ii - Randomized Algorithm - Motivation
As a motivating example, consider the problem of finding an 'a' in an array of n elements, given that half are 'a's and the other half ar...   » Read the article

Encyclopedia - Random Walk: Encyclopedia Ii - Random Walk - Random Walk On Graphs
Assume now that our city is no longer orderly. When our drunkard reaches a certain junction he picks between the various available roads ...   » Read the article

Encyclopedia - Random Coil: Encyclopedia Ii - Random Coil - Random Walk Model
There are an enormous number of different ways in which a chain can be curled around in a relatively compact shape, like an unraveling ba...   » Read the article

Encyclopedia - Applications Of Randomness: Encyclopedia Ii - Applications Of Randomness - Early Uses
Applications of randomness - Games. Unpredictable random numbers were first investigated in the context of gambling, and many randomizi...   » Read the article

Encyclopedia - Random Walk: Encyclopedia Ii - Random Walk - Properties
The simplest random walk is a path constructed according to the following rules: There is a starting point. The distance from one point ...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Uses Of Random Numbers
Random number generators have several important applications in gambling, statistical sampling, computer simulation, etc. Note that, in g...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Playing Fischer Random Chess
Examining openings for Fischer Random Chess is in its infancy, but opening fundamentals still apply. These include: protect the King, con...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Rules
Once the starting position is set up, the rules for play are the same as standard chess. In particular, pieces and pawns have their norma...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Random Numbers In Computing
There exist many functions that computers can ultilize that obey statistical laws of randomness, and usually provide a number between 0 a...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - History
A variant of random chess defined by former World Champion Bobby Fischer and introduced formally to the chess public on June 19, 1996, in...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Naming
This particular chess variant has a number of different names. The first names applied to it include "Fischer Random Chess" and "Fischera...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Naming
This particular chess variant has a number of different names. The first names applied to it include "Fischer Random Chess" and "Fischera...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - True Random Numbers Vs. Pseudo-random Numbers
What constitutes a "true" random number is often difficult to decide, since the concept of randomness is itself somewhat difficult to def...   » Read the article

Encyclopedia - Statistical Randomness: Encyclopedia Ii - Statistical Randomness - Tests
The first tests for random numbers were published by M.G. Kendall and Bernard Babington Smith in the Journal of the Royal Statistical Soc...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Uses Of Random Numbers
Random number generators have several important applications in gambling, statistical sampling, computer simulation, etc. Note that, in g...   » Read the article

Encyclopedia - Applications Of Randomness: Encyclopedia Ii - Applications Of Randomness - Literature Music And Art
The clearest example of randomness occurs in the problem of arranging items in an art exhibit. Usually this is avoided by using a theme. ...   » Read the article

Encyclopedia - Applications Of Randomness: Encyclopedia Ii - Applications Of Randomness - Literature, Music And Art
The clearest example of randomness occurs in the problem of arranging items in an art exhibit. Usually this is avoided by using a theme. ...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - True Random Numbers Vs. Pseudo-random Numbers
What constitutes a "true" random number is often difficult to decide, since the concept of randomness is itself somewhat difficult to def...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Uses Of Random Numbers
"Unpredictable" random numbers were first investigated in the context of gambling, and many randomizing devices such as dice, shuffling p...   » Read the article

Encyclopedia - Random Walk: Encyclopedia Ii - Random Walk - Relation To Brownian Motion
Brownian motion is the scaling limit of random walk in dimension 1. This means that if you take a random walk with very small steps you g...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Pseudo-random Generators
Most computer "random number generators" are not hardware devices, but are software routines implementing algorithms. Often they are supp...   » Read the article

Encyclopedia - Random Harvest: Encyclopedia Ii - Random Harvest - Film Plot
The film opens during the closing days of World War I. "John Smith" is a solider who was gassed and shellshocked in the trenches and is ...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Starting Position Ids In Fischer Random Chess / Chess960
For years, Reinhard Scharnagl has championed the desirability of giving each of the Chess960 starting positions (SP) a unique indentifica...   » Read the article

Encyclopedia - Random Walk: Encyclopedia Ii - Random Walk - Higher Dimensions
Imagine now a drunkard walking around in the city. The city is infinite and completely ordered, and at every corner he chooses one of the...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Random Physical Phenomena
Many modern random number generators attempt to use some form of quantum-mechanical noise, widely considered to be the gold standard for ...   » Read the article

Encyclopedia - Random Access Memory: Encyclopedia Ii - Random Access Memory - Overview
Computers use RAM to hold the program code and data during computation. A defining characteristic of RAM is that all memory locations can...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Other Ways To Create Initial Positions
There are several other methods that can create initial positions. Keep in mind that some of these, as noted, do not produce all legal ar...   » Read the article

Encyclopedia - Random Number Generator Attack: Encyclopedia Ii - Random Number Generator Attack - Rng Subversion
Subverted random numbers can be created using a cryptographically secure pseudo-random number generator with a seed value known to the at...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Starting Position
The starting position for Fischer random chess must meet the following rules: White pawns are placed on their orthodox home squares. All...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Recording Games And Positions
Since the initial position is usually not the orthodox chess initial position, recorded games must also record the initial position. Game...   » Read the article

Encyclopedia - Fischer Random Chess: Encyclopedia Ii - Fischer Random Chess - Starting Position
The starting position for Fischer random chess must meet the following rules: White pawns are placed on their orthodox home squares. All...   » Read the article

Encyclopedia - Random Number Generation: Encyclopedia Ii - Random Number Generation - Physical Methods
The earliest methods for generating random numbers - dice, coin flipping, roulette wheels are still used today, mainly in games and gambl...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Generating Random Numbers From Physical Processes
There is a general consensus that if there are such things as "true" random numbers, they are likely to be found by looking at physical p...   » Read the article

Encyclopedia - Random Coil: Encyclopedia Ii - Random Coil - Real Polymers
A real polymer is not freely-jointed. A -C-C- single bond has a fixed tetrahedral angle of 109.5 degrees. The value of L is well-defined ...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Generating Random Numbers From Physical Processes
There is a general consensus that if there are such things as "true" random numbers, they are likely to be found by looking at physical p...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Generating Random Numbers From Physical Processes
There is a general consensus that if there are such things as "true" random numbers, they are likely to be found by looking at physical p...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Post-processing And Statistical Checks
Even given sources of plausible random numbers, obtaining numbers which are completely unpredictable and unbiased is a very difficult tas...   » Read the article

Encyclopedia - Random Number Generation: Encyclopedia Ii - Random Number Generation - Computational Methods
Pseudo-random number generators (PRNGs) are algorithms that can automatically create long runs (for example, millions of numbers long) wi...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Problems
It is very easy to misconstruct devices that generate random numbers. Also, they break silently, often producing decreasingly random numb...   » Read the article

Encyclopedia - Randomized Controlled Trial: Encyclopedia Ii - Randomized Controlled Trial - Difficulties
A major difficulty in dealing with trial results comes from commercial, political and/or academic pressure. Most trials are expensive to ...   » Read the article

Encyclopedia - Random Number Generator: Encyclopedia Ii - Random Number Generator - Post-processing And Statistical Checks
Even given sources of plausible random numbers, obtaining numbers which are completely unpredictable and unbiased is a very difficult tas...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Contrast With Pseudo-random Number Generators
Most computer "random number generators" are not hardware devices, but are software routines implementing algorithms. Often they are supp...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Early Attempts To Generate True Random Numbers
One early way of producing random numbers was by a variation of the same machines used to play keno or select lottery numbers. Basically,...   » Read the article

Encyclopedia - Convergence Of Random Variables: Encyclopedia Ii - Convergence Of Random Variables - Convergence In Distribution
Suppose that F1, F2, ... is a sequence of cumulative distribution functions corresponding to random variables X1, X2, ..., and that F is ...   » Read the article

Encyclopedia - Random Access Memory: Encyclopedia Ii - Random Access Memory - Types Of Ram
Random access memory - Common. Static RAM (SRAM) Non-Volatile RAM (NV-RAM) Dynamic RAM (DRAM) Fast Page Mode DRAM EDO RAM or Extended...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Physical Phenomena Used For Random Number Generation
Many modern random number generators attempt to use some form of quantum-mechanical noise, widely considered to be the gold standard for ...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Software Implementation Of Random Number Generators From Observed Events
Software engineers without true random number generators often try to develop them by measuring physical events available to the software...   » Read the article

Encyclopedia - Convergence Of Random Variables: Encyclopedia Ii - Convergence Of Random Variables - Almost Sure Convergence
We say that the sequence Xn converges almost surely or almost everywhere or with probability 1 or strongly towards X if This means tha...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Attempts To Clean Up Non-random Bit-streams
A second approach to bias is to remove it in software. Even if the above hardware bias reduction steps have been taken, the bit-stream sh...   » Read the article

Encyclopedia - Random Access Memory: Encyclopedia Ii - Random Access Memory - The Memory Wall
The term "memory wall," first officially coined in Hitting the Memory Wall: Implications of the Obvious, refers to the growing disparity ...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Dealing With Bias
The bit-stream from such systems is prone to be biased, with 1s or 0s predominating. There are two approaches to dealing with bias and ot...   » Read the article

Encyclopedia - Convergence Of Random Variables: Encyclopedia Ii - Convergence Of Random Variables - Convergence In Probability
We say that the sequence Xn converges towards X in probability if for every ε > 0. Convergence in probability is, indeed, the (poi...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Uses
"Unpredictable" random numbers were first investigated in the context of gambling, and many randomizing devices such as dice, shuffling p...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Early Attempts
One early way of producing random numbers was by a variation of the same machines used to play keno or select lottery numbers. Basically,...   » Read the article

Encyclopedia - Static Random Access Memory: Encyclopedia Ii - Static Random Access Memory - Types Of Sram
Static random access memory - By Transistor Type. bipolar (not much used now: consumes a lot of power but is very fast) CMOS (the most...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Using Observed Events
Software engineers without true random number generators often try to develop them by measuring physical events available to the software...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Problems
It is very easy to misconstruct devices that generate random numbers. Also, they break silently, often producing decreasingly random numb...   » Read the article

Encyclopedia - Dynamic Random Access Memory: Encyclopedia Ii - Dynamic Random Access Memory - Special Types Of Dram
Dynamic random access memory - Fast Page Mode DRAM FPM. Fast page mode DRAM is also called FPM DRAM, Page mode DRAM, Fast page mode mem...   » Read the article

Encyclopedia - Dynamic Random Access Memory: Encyclopedia Ii - Dynamic Random Access Memory - Principle Of Operation Of Dram
DRAM is usually arranged in a square array of one capacitor and transistor per cell. The illustrations above show a simple example with o...   » Read the article

Encyclopedia - Dynamic Random Access Memory: Encyclopedia Ii - Dynamic Random Access Memory - Errors And Error Correction
Electrical or magnetic interference inside a computer system can cause a single bit of DRAM to spontaneously flip to the opposite state. ...   » Read the article

Encyclopedia - Static Random Access Memory: Encyclopedia Ii - Static Random Access Memory - Sram Operation
To understand the operation of a CMOS SRAM cell, let us try to get some idea of how the cell works during standby, read and write operati...   » Read the article

Encyclopedia - Hardware Random Number Generator: Encyclopedia Ii - Hardware Random Number Generator - Dealing With Bias
The bit-stream from such systems is prone to be biased, with 1s or 0s predominating. There are two approaches to dealing with bias and ot...   » Read the article

Encyclopedia - Static Random Access Memory: Encyclopedia Ii - Static Random Access Memory - Applications
Fast SRAM is faster than DRAM and is used where speed is the most important requirement, as in all the storage inside a CPU (Eg: Pipeline...   » Read the article

Dictionary - Random: Parapsychology Dictionary On Random
Random: Refers to events that are, in principle, haphazard and unpredictable.   See also Chance .   (See also: Random ,...   » Read the article

Dictionary - Random Numbers: Parapsychology Dictionary On Random Numbers
Random Numbers: Numbers generated in an unpredictable, haphazard sequence.   (See also: Random Numbers , Psychic, Psychic Dic...   » Read the article

Dictionary - Pseudo-random Numbers: Parapsychology Dictionary On Pseudo-random Numbers
Pseudo-Random Numbers: Numbers generated by an electronic calculator or computer using a complex mathematical algorithm that simulate...   » Read the article

Dictionary - Random Sampling: Oceanography Dictionary - Random Sampling
  Definition and meaning of random sampling:   random sampling - a sampling technique where a group of subjects (a sampl...   » Read the article

Dictionary - Random Number Generator, Rng: Parapsychology Dictionary On Random Number Generator, Rng
Random Number Generator, RNG:  See Random Event Generator .   (See also: Random Number Generator, RNG , Psychic, Psychic...   » Read the article

Dictionary - Random Sample: Oceanography Dictionary - Random Sample
  Definition and meaning of random sample:   random sample - a sample in which each individual in a population has the s...   » Read the article

Dictionary - Random Number Tables: Parapsychology Dictionary On Random Number Tables
Random Number Tables: A printed table of random numbers, usually made up of several rows and columns of computer-generated numbers. T...   » Read the article