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Beta (other)
Beta (B, β) is the second letter of the Greek alphabet. Beta or BETA may also refer to: Arts, entertainment, and media Films * ''Beta'' (film), a 1992 Bollywood film directed by Indra Kumar * ''Beta Test'' (film), a 2016 American science fiction film directed by Nicholas Gyeney * ''The Beta Test'', a 2021 American dark comedy film directed by Jim Cummings Fictional entities * BETA (Muv-Luv) (Beings of the Extra Terrestrial origin which is Adversary of human race), an alien race from the video game series ''Muv-Luv'' * β, a classification of strength in the ''Earthbound'', or ''Mother'', series of Nintendo role-playing games * Beta, a wolf character in the animated film ''Storks'' * BETA, an organization in the 1986 TV series ''The Adventures of the Galaxy Rangers'' * Beta (''The Walking Dead''), an antagonist in the ''Walking Dead'' comic series * Beta Hirogen, the second in command of a Hirogen hunting party, as seen in ''Star Trek: Voyager'' * Beta Quadrant, one of four ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beta (other)
Beta (B, β) is the second letter of the Greek alphabet. Beta or BETA may also refer to: Arts, entertainment, and media Films * ''Beta'' (film), a 1992 Bollywood film directed by Indra Kumar * ''Beta Test'' (film), a 2016 American science fiction film directed by Nicholas Gyeney * ''The Beta Test'', a 2021 American dark comedy film directed by Jim Cummings Fictional entities * BETA (Muv-Luv) (Beings of the Extra Terrestrial origin which is Adversary of human race), an alien race from the video game series ''Muv-Luv'' * β, a classification of strength in the ''Earthbound'', or ''Mother'', series of Nintendo role-playing games * Beta, a wolf character in the animated film ''Storks'' * BETA, an organization in the 1986 TV series ''The Adventures of the Galaxy Rangers'' * Beta (''The Walking Dead''), an antagonist in the ''Walking Dead'' comic series * Beta Hirogen, the second in command of a Hirogen hunting party, as seen in ''Star Trek: Voyager'' * Beta Quadrant, one of four ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lifetime (TV Network)
Lifetime is an American basic cable channel that is part of Lifetime Entertainment Services, a subsidiary of A&E Networks, which is jointly owned by Hearst Communications and The Walt Disney Company. It features programming that is geared toward women or features women in lead roles. , it is received by 93.8 million households in America. History Predecessors There were two television channels that preceded Lifetime in its current incarnation. Daytime, originally called BETA, was launched in March 1982 by Hearst-ABC Video Services.(June 15, 1983Hearst-ABC, Viacom in Pact. New York Times.Lifetime Entertainment Services History . International Directory of Company Histories, Vol. 32. St. James Press, 2000. Hosted on Funding Universe.com. Retrieved on December 4, 2013.< ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eratosthenes
Eratosthenes of Cyrene (; grc-gre, Ἐρατοσθένης ; – ) was a Greek polymath: a mathematician, geographer, poet, astronomer, and music theorist. He was a man of learning, becoming the chief librarian at the Library of Alexandria. His work is comparable to what is now known as the study of geography, and he introduced some of the terminology still used today. He is best known for being the first person known to calculate the circumference of the Earth, which he did by using the extensive survey results he could access in his role at the Library; his calculation was remarkably accurate. He was also the first to calculate Earth's axial tilt, which has also proved to have remarkable accuracy. He created the first global projection of the world, incorporating parallels and meridians based on the available geographic knowledge of his era. Eratosthenes was the founder of scientific chronology; he used Egyptian and Persian records to estimate the dates of the main ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dirichlet Beta Function
In mathematics, the Dirichlet beta function (also known as the Catalan beta function) is a special function, closely related to the Riemann zeta function. It is a particular Dirichlet L-function, the L-function for the alternating character of period four. Definition The Dirichlet beta function is defined as :\beta(s) = \sum_^\infty \frac , or, equivalently, :\beta(s) = \frac\int_0^\frac\,dx. In each case, it is assumed that Re(''s'') > 0. Alternatively, the following definition, in terms of the Hurwitz zeta function, is valid in the whole complex ''s''-plane: but this formula is only valid at positive integer values of s. Euler product formula It is also the simplest example of a series non-directly related to \zeta(s) which can also be factorized as an Euler product, thus leading to the idea of Dirichlet character defining the exact set of Dirichlet series having a factorization over the prime numbers. At least for Re(''s'') ≥ 1: : \beta(s) = \pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beta Invariant
In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many equivalent ways to define a matroid axiomatically, the most significant being in terms of: independent sets; bases or circuits; rank functions; closure operators; and closed sets or flats. In the language of partially ordered sets, a finite matroid is equivalent to a geometric lattice. Matroid theory borrows extensively from the terminology of both linear algebra and graph theory, largely because it is the abstraction of various notions of central importance in these fields. Matroids have found applications in geometry, topology, combinatorial optimization, network theory and coding theory. Definition There are many equivalent ( cryptomorphic) ways to define a (finite) matroid.A standard source for basic definitions and results about matroids is Oxley (1992). An older standard source is Welsh (1976). See Brylawski' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beta Function
In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral : \Beta(z_1,z_2) = \int_0^1 t^(1-t)^\,dt for complex number inputs z_1, z_2 such that \Re(z_1), \Re(z_2)>0. The beta function was studied by Leonhard Euler and Adrien-Marie Legendre and was given its name by Jacques Binet; its symbol is a Greek capital beta. Properties The beta function is symmetric, meaning that \Beta(z_1,z_2) = \Beta(z_2,z_1) for all inputs z_1 and z_2.Davis (1972) 6.2.2 p.258 A key property of the beta function is its close relationship to the gamma function: : \Beta(z_1,z_2)=\frac. A proof is given below in . The beta function is also closely related to binomial coefficients. When (or , by symmetry) is a positive integer, it follows from the definition of the gamma function thatDavis (1972) 6.2.1 p.258 : \Beta(m,n) =\dfrac = \frac \B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beta Distribution
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval , 1in terms of two positive parameters, denoted by ''alpha'' (''α'') and ''beta'' (''β''), that appear as exponents of the random variable and control the shape of the distribution. The beta distribution has been applied to model the behavior of random variables limited to intervals of finite length in a wide variety of disciplines. The beta distribution is a suitable model for the random behavior of percentages and proportions. In Bayesian inference, the beta distribution is the conjugate prior probability distribution for the Bernoulli, binomial, negative binomial and geometric distributions. The formulation of the beta distribution discussed here is also known as the beta distribution of the first kind, whereas ''beta distribution of the second kind'' is an alternative name for the beta prime distribution. The generalization to mult ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
β-reduction
Lambda calculus (also written as ''λ''-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. It is a universal model of computation that can be used to simulate any Turing machine. It was introduced by the mathematician Alonzo Church in the 1930s as part of his research into the foundations of mathematics. Lambda calculus consists of constructing § lambda terms and performing § reduction operations on them. In the simplest form of lambda calculus, terms are built using only the following rules: * x – variable, a character or string representing a parameter or mathematical/logical value. * (\lambda x.M) – abstraction, function definition (M is a lambda term). The variable x becomes bound in the expression. * (M\ N) – application, applying a function M to an argument N. M and N are lambda terms. The reduction operations include: * (\lambda x.M \rightarrow(\lam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Type I And Type II Errors
In statistical hypothesis testing, a type I error is the mistaken rejection of an actually true null hypothesis (also known as a "false positive" finding or conclusion; example: "an innocent person is convicted"), while a type II error is the failure to reject a null hypothesis that is actually false (also known as a "false negative" finding or conclusion; example: "a guilty person is not convicted"). Much of statistical theory revolves around the minimization of one or both of these errors, though the complete elimination of either is a statistical impossibility if the outcome is not determined by a known, observable causal process. By selecting a low threshold (cut-off) value and modifying the alpha (α) level, the quality of the hypothesis test can be increased. The knowledge of type I errors and type II errors is widely used in medical science, biometrics and computer science. Intuitively, type I errors can be thought of as errors of ''commission'', i.e. the researcher unluck ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beta (finance)
In finance, the beta (β or market beta or beta coefficient) is a measure of how an individual asset moves (on average) when the overall stock market increases or decreases. Thus, beta is a useful measure of the contribution of an individual asset to the risk of the market portfolio when it is added in small quantity. Thus, beta is referred to as an asset's non-diversifiable risk, its systematic risk, market risk, or hedge ratio. Beta is ''not'' a measure of idiosyncratic risk. Interpretation of values By definition, the value-weighted average of all market-betas of all investable assets with respect to the value-weighted market index is 1. If an asset has a beta above (below) 1, it indicates that its return moves more (less) than 1-to-1 with the return of the market-portfolio, on average. In practice, few stocks have negative betas (tending to go up when the market goes down). Most stocks have betas between 0 and 3. Treasury bills (like most fixed income instruments) a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perpetual Beta
Perpetual beta is the keeping of software or a system at the beta development stage for an extended or indefinite period of time. It is often used by developers when they continue to release new features that might not be fully tested. Perpetual beta software is not recommended for mission critical machines. However, many operational systems find this to be a much more rapid and agile approach to development, staging, and deployment. Definition Perpetual beta has come to be associated with the development and release of a service in which constant updates are the foundation for the habitability or usability of a service. According to publisher and open source advocate Tim O'Reilly: Users must be treated as co-developers, in a reflection of open source development practices (even if the software in question is unlikely to be released under an open source license.) The open source dictum, "release early and release often", in fact has morphed into an even more radical position, "t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beta Release
A software release life cycle is the sum of the stages of development and maturity for a piece of computer software ranging from its initial development to its eventual release, and including updated versions of the released version to help improve the software or fix software bugs still present in the software. There are several models for such a life cycle. A common method is that suggested by Microsoft, which divides software development into five phases: Pre-alpha, Alpha, Beta, Release candidate, and Stable. Pre-alpha refers to all activities performed during the software project before formal testing. The alpha phase generally begins when the software is feature complete but likely to contain several known or unknown bugs. The beta phase generally begins when the software is deemed feature complete, yet likely to contain several known or unknown bugs. Software in the production phase will generally have many more bugs in it than completed software, as well as speed/performan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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