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Random

A Wisdom Archive on Random

Random

A selection of articles related to Random

We recommend this article: Random - 1, and also this: Random - 2.
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random, Randomness, Randomness - Randomness versus unpredictability, Randomness - Applications and use of randomness, Randomness - Books, Randomness - Generating randomness, Randomness - History, Randomness - Misconceptions/logical fallacies, Randomness - Quotations, Randomness - Study of randomness, Randomness - A number is cursed, Randomness - A number is due, Randomness - In biology, Randomness - In communication theory, Randomness - In finance, Randomness - In mathematics, Randomness - In philosophy, Randomness - In the natural sciences, Randomness - Source of randomness, Aleatory, Complexity, Chaos, Probability interpretations

ARTICLES RELATED TO Random

Random: 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 number of measurable statistical properties, such as lack of bias or correlation. Randomness has an important place in science and philosophy. Randomness - History. Humankind has been concerned with randomness since prehistoric times, mostly through divination (reading messages in random patterns) and gambling. The opposition between free will ...

Including:

Read more here: » Randomness: Encyclopedia - Randomness

Random: 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 unpredictable or statistically random they are, and how quickly they can generate random numbers. Before the advent of computational random number generators, generating large amount of sufficiently random numbers (important in statistics) required a lot of work. Results wo ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Generating randomness

Random: 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 unpredictable or statistically random they are, and how quickly they can generate random numbers. Before the advent of computational random number generators, generating large amount of sufficiently random numbers (important in statistics) required a lot of work. Results would sometimes be collected and distributed as random number tables ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Generating randomness

Random: Encyclopedia - Applications of randomness

Randomness has many uses in gambling, divination, statistics, cryptography, art, etc. Note that these uses may have different requirements when it comes to statistical randomness or unpredictability, which in turn leads to different randomization methods. For example, applications in cryptography have strict requirements, whereas other uses (such as generating a "quote of the day") don't need more than "shallow" randomness. Applications of randomness - Early uses. Applications of randomness - ...

Including:

Read more here: » Applications of randomness: Encyclopedia - Applications of randomness

Random: 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 probability of an event, but rather that of a random variable. Probability distributions are determined by assigning an expectation to each random variable. The measurable space and the probability measure arise from the random variables and expectations by means of well-known representation theorems of analysis. One of the important features of the algebraic approach is that apparently infinite-dimensional probability distr ...

Read more here: » Algebra of random variables: Encyclopedia - Algebra of random variables

Random: 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 accessed in any order -- that is, at random, not just in sequence. In contrast, other types of memory devices (such as magnetic tapes, disks, and drums) can access data on the storage medium only in a predetermined order due to constraints in their mechanical design. Generally, RAM in a computer is considered main memory (or primary storage): the working area used for displaying an ...

Including:

Read more here: » Random access memory: Encyclopedia - Random access memory

Random: 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 discernable pattern, so that the sequence can be treated as being random. Random number generators have existed since ancient times, in the form of dice and coin flipping, the shuffling of playing cards, the use of yarrow stalks in the I Ching, and many other methods. Random number generator - True random numbers vs. pseudo-random numbers. Main article: pseudo-ran ...

Including:

Read more here: » Random number generator: Encyclopedia - Random number generator

Random: 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 is shorter than any computer program that can produce that string. It is fairly easy to see that most strings of a given length are close to random in this sense. Chaitin-Kolmogorov randomness distinguishes, at least in principle, between numbers that are generated by pseudo-random number generators and true random numbers. However pseudo-random number generators and true random numbers ...

Read more here: » Chaitin–Kolmogorov randomness: Encyclopedia - Chaitin–Kolmogorov randomness

Random: 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. Some people think that this can be used to prove that ley lines exist due to chance alone (as opposed to supernatural or anthropological explanations). One precise definition which expresses the generally accepted meaning of "alignment" as: a set of points, chosen from a given set of landmark points, all of which l ...

Including:

Read more here: » Alignments of random points: Encyclopedia - Alignments of random points

Random: 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 capacitor determines whether the bit is considered 1 or 0. As the capacitor leaks electrons, the information gets lost eventually, unless the charge is refreshed periodically. Because it must be refreshed periodically, it is a dynamic memory as opposed to SRAM and other static memory. Also, since DRAM loses its data when the power supply is removed, it is in the class of volatile memor ...

Including:

Read more here: » Dynamic random access memory: Encyclopedia - Dynamic random access memory

Random: 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 playing cards, and roulette wheels, were first developed for use in gambling. Fairly produced random numbers are vital to electronic gambling and ways of creating them are sometimes regulated by governmental gaming commissions. "Random" numbers are also used for non-gambling purposes, both where their use is mathematically important, such as sampling for opinion polls, and in situations where "fairnes ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Applications and use of randomness

Random: Encyclopedia II - Randomness - Study of randomness

Many scientific fields are concerned with randomness : Algorithmic probability Chaos theory Game theory Information theory Pattern recognition Probability theory Quantum mechanics Statistics Statistical mechanics Randomness - In philosophy. Note that the bias that "everything has a purpose or cause" is actually implicit in the expression "apparent lack of purpose or cause". Humans are always looking for ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Study of randomness

Random: Encyclopedia II - Randomness - Study of randomness

Many scientific fields are concerned with randomness : Algorithmic probability Chaos theory Cryptography Game theory Information theory Pattern recognition Probability theory Quantum mechanics Statistics Statistical mechanics Randomness - In philosophy. Note that the bias that "everything has a purpose or cause" is actually implicit in the expression "apparent lack of purpose or cause". Humans a ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Study of randomness

Random: 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 almost surely, equal in mean, or equal in distribution. In increasing order of strength, the precise definition of these notions of equivalence is given below. Random variable - Equality in distribution. Two random variables X and Y are equal in distribution ...

See also:

Random variable, Random variable - Definitions, Random variable - Random variables, Random variable - Distribution functions, Random variable - Functions of random variables, Random variable - Example, Random variable - Moments, Random variable - Equivalence of random variables, Random variable - Equality in distribution, Random variable - Equality in mean, Random variable - Almost sure equality, Random variable - Equality, Random variable - Convergence, Random variable - Literature

Read more here: » Random variable: Encyclopedia II - Random variable - Equivalence of random variables

Random: 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, for example, could be seen as random; however they are actually unpredictable. This is due to sensitive dependence on initial conditions (see chaos theory). Many random phenomena may exhibit organized features at some levels. For example, while the average rate of increase in the human population is quite predictable, in the short term, the actual timing of individual births and deaths ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Randomness versus unpredictability

Random: 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 much research has been devoted to effective randomization. A classic example of randomization is shuffling playing cards. Randomization is a core principle in the statistical theory of design of experiments. Its use was extensively promoted by R.A. Fisher in his book Statistical Methods for Research Workers. Randomization involves randomly allocating the experimental units across the treatment groups ...

See also:

Randomization, Randomization - Applications, Randomization - Techniques

Read more here: » Randomization: Encyclopedia II - Randomization - Applications

Random: Encyclopedia II - Randomization - Techniques

Although historically "manual" randomization techniques (such as shuffling cards, drawing pieces of paper from a bag, spinning a roulette wheel), nowadays automated techniques are mostly used. As both selecting random samples and random permutations can be reduced to simply selecting random numbers, random number generation methods are now most commonly used, both Hardware random number generators and pseudo-random number generators. Non-algorithmic randomization methods include: Casting yarrow stalks (for the I Ching)See also:

Randomization, Randomization - Applications, Randomization - Techniques

Read more here: » Randomization: Encyclopedia II - Randomization - Techniques

Random: 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 composition of measurable functions is also measurable. The same procedure that allowed one to go from a probability space (Ω, P) to (R, dFX) can be used to obtain the distribution of Y. The cumulative distribution function of Y is Random variable - Example. Let X be a real-valued, continuous random variable an ...

See also:

Random variable, Random variable - Definitions, Random variable - Random variables, Random variable - Distribution functions, Random variable - Functions of random variables, Random variable - Example, Random variable - Moments, Random variable - Equivalence of random variables, Random variable - Equality in distribution, Random variable - Equality in mean, Random variable - Almost sure equality, Random variable - Equality, Random variable - Convergence, Random variable - Literature

Read more here: » Random variable: Encyclopedia II - Random variable - Functions of random variables

Random: Encyclopedia II - Random variable - Convergence

Much of mathematical statistics consists in proving convergence results for certain sequences of random variables; see for instance the law of large numbers and the central limit theorem. There are various senses in which a sequence (Xn) of random variables can converge to a random variable X. These are explained in the article on convergence of random variables. ...

See also:

Random variable, Random variable - Definitions, Random variable - Random variables, Random variable - Distribution functions, Random variable - Functions of random variables, Random variable - Example, Random variable - Moments, Random variable - Equivalence of random variables, Random variable - Equality in distribution, Random variable - Equality in mean, Random variable - Almost sure equality, Random variable - Equality, Random variable - Convergence, Random variable - Literature

Read more here: » Random variable: Encyclopedia II - Random variable - Convergence

Random: 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 such fallacies and correct the logical errors. For a more detailed discussion, see Gambler's Fallacy. Randomness - A number is due. This argument says that "since all numbers will eventually come up in a random selection, those that have not come up yet are 'due' and thus more likely to come up soon". This logic is only correct if applied to a system where numbers that come ...

See also:

Randomness, Randomness - History, Randomness - Randomness versus unpredictability, Randomness - Misconceptions/logical fallacies, Randomness - A number is due, Randomness - A number is cursed, Randomness - Study of randomness, Randomness - In philosophy, Randomness - In biology, Randomness - In the natural sciences, Randomness - Source of randomness, Randomness - In mathematics, Randomness - In communication theory, Randomness - In finance, Randomness - Applications and use of randomness, Randomness - Generating randomness, Randomness - Quotations, Randomness - Books

Read more here: » Randomness: Encyclopedia II - Randomness - Misconceptions/logical fallacies

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