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Rational (other)
Rational may refer to: * Rational number, a number that can be expressed as a ratio of two integers * Rational point of an algebraic variety, a point defined over the rational numbers * Rational function, a function that may be defined as the quotient of two polynomials * Rational fraction, an expression built from the integers and some variables by addition, subtraction, multiplication and division * Rational Software, a software company now owned by IBM * Tenberry Software, formerly Rational Systems, a defunct American software company * Rational AG, a German manufacturer of food processors * RationaL, stage name of Canadian hip-hop artist Matt Brotzel * The Rationals, a former American rock and roll band * Rational, a personality classification in the Keirsey Temperament Sorter *Priestly breastplate, called a 'rational' in older Biblical translations, from the Vulgate name for the breastplate: 'rationale' See also * Rationality * Rationale (other) *Rationalism (disambi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Number
In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator . For example, is a rational number, as is every integer (e.g. ). The set of all rational numbers, also referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by boldface , or blackboard bold \mathbb. A rational number is a real number. The real numbers that are rational are those whose decimal expansion either terminates after a finite number of digits (example: ), or eventually begins to repeat the same finite sequence of digits over and over (example: ). This statement is true not only in base 10, but also in every other integer base, such as the binary and hexadecimal ones (see ). A real number that is not rational is called irrational. Irrational numbers include , , , and . Since the set of rational numbers is countable, and the set of real numbers is u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Point
In number theory and algebraic geometry, a rational point of an algebraic variety is a point whose coordinates belong to a given field. If the field is not mentioned, the field of rational numbers is generally understood. If the field is the field of real numbers, a rational point is more commonly called a real point. Understanding rational points is a central goal of number theory and Diophantine geometry. For example, Fermat's Last Theorem may be restated as: for , the Fermat curve of equation x^n+y^n=1 has no other rational points than , , and, if is even, and . Definition Given a field ''k'', and an algebraically closed extension ''K'' of ''k'', an affine variety ''X'' over ''k'' is the set of common zeros in K^n of a collection of polynomials with coefficients in ''k'': :f_1(x_1,\ldots,x_n)=0,\ldots, f_r(x_1,\dots,x_n)=0. These common zeros are called the ''points'' of ''X''. A ''k''-rational point (or ''k''-point) of ''X'' is a point of ''X'' that belongs to ''k' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Function
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field ''K''. In this case, one speaks of a rational function and a rational fraction ''over K''. The values of the variables may be taken in any field ''L'' containing ''K''. Then the domain of the function is the set of the values of the variables for which the denominator is not zero, and the codomain is ''L''. The set of rational functions over a field ''K'' is a field, the field of fractions of the ring of the polynomial functions over ''K''. Definitions A function f(x) is called a rational function if and only if it can be written in the form : f(x) = \frac where P\, and Q\, are polynomial functions of x\, and Q\, is not the zero function. The domain of f\, is the set of all va ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Fraction
In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are \frac and \frac. Algebraic fractions are subject to the same laws as arithmetic fractions. A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials. Thus \frac is a rational fraction, but not \frac, because the numerator contains a square root function. Terminology In the algebraic fraction \tfrac, the dividend ''a'' is called the ''numerator'' and the divisor ''b'' is called the ''denominator''. The numerator and denominator are called the ''terms'' of the algebraic fraction. A ''complex fraction'' is a fraction whose numerator or denominator, or both, contains a fraction. A ''simple fraction'' contains no fraction either in its numerator or its denominator. A fraction is in ''lowest terms'' if the only factor common to the numerator and the denominator is 1. An expression which is not in frac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Software
Rational Machines is an enterprise founded by Paul Levy and Mike Devlin in 1981 to provide tools to expand the use of modern software engineering practices, particularly explicit modular architecture and iterative development. It changed its name in 1994 to Rational Software, and was sold for US$2.1 billion (equivalent to current US$) to IBM on February 20, 2003. See also *Rational Automation Framework *Rational ClearCase * Rational DOORS *Rational Performance Tester *Rational Rhapsody * Rational Rose *Rational Software Architect * Rational Software Modeler *Rational Synergy *Rational Unified Process The Rational Unified Process (RUP) is an iterative software development process framework created by the Rational Software Corporation, a division of IBM since 2003. RUP is not a single concrete prescriptive process, but rather an adaptable pro ... References External links {{Authority control Defunct software companies IBM acquisitions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tenberry Software
Tenberry Software (previously Rational Systems) was a software company notable for the development of DOS/16M and DOS/4G, which were the first industry standard DOS extenders. See also * Phar Lap Phar Lap (4 October 1926 – 5 April 1932) was a champion New Zealand–bred Thoroughbred racehorse who is widely regarded as New Zealand's greatest racehorse ever. Achieving incredible success during his distinguished career, his initial u ... - competitor References External links Tenberry Software Software companies of the United States Companies based in Phoenix, Arizona {{US-software-company-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational AG
Rational AG is a German manufacturer and retailer of commercial and industrial kitchen equipment for thermal food preparation. The company is based in Landsberg am Lech, Germany, and was founded by Siegfried Meister in 1973. It operates worldwide and has 25 subsidiaries in Europe, Asia, North and South America as well as seven branches in Germany. History The company was founded in 1973 by Siegfried Meister (* 1938, † 2017) with 18 employees as a company for the production and distribution of hot air appliances in Germany.Lars-Thorben Niggehoff: ''Gedämpfte Erwartungen.'' In: ''Wirtschaftswoche'', Sonderheft ''Die 500 heimlichen Weltmarktführer 2022.'' No. 1, p. 44., November 8, 2021. These quickly superseded conventional ovens that were used in the commercial sector before then. Initially, the company produced deep fryers and ovens. In 1976, Meister invented the Rational combi steamer for commercial kitchens and started its production.''Rational geht mit Dampf in den Smax e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
RationaL
Rationality is the quality of being guided by or based on reasons. In this regard, a person acts rationally if they have a good reason for what they do or a belief is rational if it is based on strong evidence. This quality can apply to an ability, as in rational animal, to a psychological process, like reasoning, to mental states, such as beliefs and intentions, or to persons who possess these other forms of rationality. A thing that lacks rationality is either ''arational'', if it is outside the domain of rational evaluation, or ''irrational'', if it belongs to this domain but does not fulfill its standards. There are many discussions about the essential features shared by all forms of rationality. According to reason-responsiveness accounts, to be rational is to be responsive to reasons. For example, dark clouds are a reason for taking an umbrella, which is why it is rational for an agent to do so in response. An important rival to this approach are coherence-based accoun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Rationals
The Rationals were an American rock band from Ann Arbor, Michigan. History The Rationals formed in 1964 and first recorded a single for a local label, A2 Records, in 1965. After scoring a local hit with the tune "Gave My Love",Richie Unterberger, The Rationalsat Allmusic they recorded a remake of Otis Redding's "Respect". This won them a contract for national distribution by Cameo/Parkway, and the single ended up reaching #92 on the ''Billboard'' Hot 100. The record didn't break everywhere in the U.S. at the same time, so it had a tough time making a decent showing on the national charts. Several further singles, including "I Need You" and "Hold On Baby", were successes in Michigan but didn't catch on nationally. Lead singer Scott Morgan was asked to join Blood, Sweat & Tears, but he declined the offer. The group's only full-length, a self-titled effort, arrived on Crewe Records at the beginning of 1970, and the group split up soon after; Morgan went on to play with several ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Keirsey Temperament Sorter
The Keirsey Temperament Sorter (KTS) is a self-assessed personality questionnaire designed to help people better understand themselves and others. It was first introduced in the book ''Please Understand Me''. It is one of the most widely used personality assessments in the world. The KTS is closely associated with the Myers–Briggs Type Indicator (MBTI); however, there are significant practical and theoretical differences between the two personality questionnaires and their associated different descriptions. It has been criticized as pseudoscience. Historical development :''See also Historical Development of Theories of the Four Temperaments'' David Keirsey became familiar with the work of Ernst Kretschmer and William Sheldon after WWII in the late 1940s. Keirsey developed the Temperament Sorter after being introduced to the MBTI in 1956. Tracing the idea of temperament back to the ancient Greeks, Keirsey developed a modern temperament theory in his books ''Please Understand Me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Priestly Breastplate
The priestly breastplate or breastpiece of judgment ( he, חֹשֶׁן ''ḥōšen'') was a sacred breastplate worn by the High Priest of the Israelites, according to the Book of Exodus. In the biblical account, the breastplate is termed the ''breastplate of judgment'' ( he, חֹשֶׁן מִשְׁפָּט ''ḥōšen mišpāṭ'' - ), because the Urim and Thummim ( he, הָאוּרִים וְהַתֻּמִּים ''hāʾūrīm wəhattummīm'') were placed upon it.(). These elements of the breastplate are said in the Exodus verse to carry the judgement ( he, מִשְׁפָּט ''mišpāṭ'') of God concerning the Israelites at all times. Hebrew Bible According to the description in Exodus, this breastplate was attached to the tunic-like garment known as an ephod by gold chains/cords tied to the gold rings on the ephod's shoulder straps, and by blue ribbon tied to the gold rings at the belt of the ephod. The biblical description states that the breastplate was also to be made f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rationality
Rationality is the quality of being guided by or based on reasons. In this regard, a person acts rationally if they have a good reason for what they do or a belief is rational if it is based on strong evidence. This quality can apply to an ability, as in rational animal, to a psychological process, like reasoning, to mental states, such as beliefs and intentions, or to persons who possess these other forms of rationality. A thing that lacks rationality is either ''arational'', if it is outside the domain of rational evaluation, or '' irrational'', if it belongs to this domain but does not fulfill its standards. There are many discussions about the essential features shared by all forms of rationality. According to reason-responsiveness accounts, to be rational is to be responsive to reasons. For example, dark clouds are a reason for taking an umbrella, which is why it is rational for an agent to do so in response. An important rival to this approach are coherence-based ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
