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Rational Software


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Products include the Rational Rose modeling tool.

http://www.rational.com/

IBM Rational Software


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IBM Rational software provides a software development platform that improves the ... Rational Learning Framework. Looking for strategic guidance and technical ...

http://www-306.ibm.com/software/rational/

Rational - Wikipedia, the free encyclopedia


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A rational function, a mathematical function which can be written as the ratio ... the most central paradigm of Rational-Emotive Therapy ...

http://en.wikipedia.org/wiki/Rational

Rational number - Wikipedia, the free encyclopedia


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In mathematics, a rational number is a number which can be expressed as a ratio of two integers. ... Non-integer rational numbers (commonly called fractions) ...

http://en.wikipedia.org/wiki/Rational_number

Unified Modeling Language Resource Center


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Contains documentation, quick reference, and whitepapers.

http://www.rational.com/uml

IBM developerWorks : Rational software develope...


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This is your starting place for technical information about the Rational software platform. You'll find articles, sample code, tutorials, tools, and more.

http://www.ibm.com/developerworks/rational

rational - Definitions from Dictionary.com


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Definitions of rational at Dictionary.com. ... rational operation. Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This ...

http://dictionary.reference.com/browse/rational

Rational Recovery from alcoholism, drug addicti...


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Independent recovery from addiction to alcohol and other drugs. ... In Rational Recovery��, the family has an entirely different role than in the ...

http://www.rational.org/

Rational Expressions: Finding the Domain


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Explains what rational expressions are, and describes how to find their domain. ... A "rational expression" is a polynomial fraction, and anything you could do with ...

http://www.purplemath.com/modules/rtnldefs.htm

Rational Numbers


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Hint: When asked to write a rational number (given in decimal form) as a ... Rational and irrational numbers are real numbers. Schultzkie ...

http://regentsprep.org/Regents/math/rational/Lr...

Rational and irrational numbers - Topics in pre...


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The definition of a rational number. Irrational numbers. Real numbers. A real variable ... Which numbers have rational square roots? The decimal representation ...

http://www.themathpage.com/aPreCalc/rational-ir...

Rational Recovery from alcoholism and drug addi...


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A PUBLIC SERVICE OF RATIONAL RECOVERY SYSTEMS, INC. ... Rational Recovery�� is the exclusive, ... Where can I find a Rational Recovery�� treatment center? ...

http://www.rational.org/faq.html

rational: Definition, Synonyms and Much More fr...


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rational adj. Having or exercising the ability to reason. Of sound mind; sane. Consistent with or based on reason; logical: rational behavior

http://www.answers.com/topic/rational

Rational Functions


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Explore rational functions. ... Define another rational function with equal zeros in the numerator and ... self test on graphs of rational functions. ...

http://www.analyzemath.com/rational/rational1.html

Free Rational Downloads, Tutorials and Articles


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Evaluate Rational Business Developer V7.1. Evaluate Rational Host Access Transformation Services (HATS) Toolkit V7.1. FREE! ... Rational Showcase: ...

http://www.devx.com/ibm/Door/30485

Boost C++ Libraries - Rational Number Library


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Class rational synopsis ... The rational number class provides an alternative compromise. ... To be precise, rational numbers are exact as long as the numerator and ...

http://www.boost.org/libs/rational/rational.html

Rational numbers. Evolution of the real numbers.


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A rational number, then, is any number that we could write as a fraction. We need the ... We therefore conceive of rational numbers as being continuous. ...

http://www.themathpage.com/aReal/rational-numbe...

The Rational Roots Test


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Demonstrates how to use the Rational Roots Test to list possible fractional solutions for polynomials. ... Find all possible rational x-intercepts of x4 + 2x3 ...

http://www.purplemath.com/modules/rtnlroot.htm

Rational Triangles


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Triangles in the Euclidean plane such that all three sides are rational. ... All rational triangles can be uniquely constructed in this way from three ...

http://grail.cba.csuohio.edu/~somos/rattri.html

Rational Functions


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"Rational function" is the name given to a function which can be represented as ... Rational functions supply important examples and occur naturally in many contexts. ...

http://oregonstate.edu/instruct/mth251/cq/Field...

What's a number? from Interactive Mathematics M...


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What's a number? Discussion on numbers rational, irrational, real, imaginary, algebraic, transcendental, surreal ... Rational and Irrational numbers ...

http://www.cut-the-knot.org/do_you_know/numbers...

Class: Rational


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A rational number is a number that can be expressed as a fraction p/q where p ... 0. A rational number p/q is said to have numerator p and denominator q. Numbers ...

http://www.ruby-doc.org/core/classes/Rational.html

2nd Degree / 2nd Degree


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Below is a Java applet which demonstrates the behavior of a rational function. The type of rational function which it demonstrates is a second degree ...

http://id.mind.net/~zona/mmts/functionInstitute...

Rational Expressions


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Loosely speaking, a rational number is an expression of the form p/q where p and ... 1/For example, 1/4 and 2/8 represent the same rational number. ...

http://www.ii.uib.no/~wagner/hsalg/ratexp01.htm

24.6 Rational Numbers


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Previous: 24.5 Field of Rational Up: 24. Standard Commutative Rings Next: 24.7 Finite Fields ... ( Return the characteristic polynomial of this rational number. ...

http://modular.math.washington.edu/sage/doc/htm...

Rational Functions


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In order to see what makes rational functions special, let us look at some of ... If you are familiar with rational functions and basic algebraic properties, skip ...

http://cnx.org/content/m10593/latest/

Rational (JScience v3.3 API)


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Class Rational ... Wikipedia: Rational Numbers, Serialized Form. Nested Class Summary ... static Rational. ONE. The Rational representing the multiplicative identity. ...

http://jscience.org/api/org/jscience/mathematic...

The Haskell 98 Library Report: Rational Numbers


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12 Rational Numbers. module Ratio ( Ratio, Rational, (%), numerator, denominator, approxRational ) ... approxRational :: (RealFrac a) => a -> a -> Rational ...

http://haskell.org/onlinereport/ratio.html

SparkNotes: Rational Expressions: Introduction ...


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We write rational expressions in lowest terms in order to work with them more easily. ... The final section explains how to solve rational equations. ...

http://www.sparknotes.com/math/algebra2/rationa...

rational - Wiktionary


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rational. Definitions from Wiktionary, a free dictionary. Jump to: navigation, search ... Retrieved from "http://en.wiktionary.org/wiki/rational" ...

http://en.wiktionary.org/wiki/rational

Class: Rational - PHP Classes


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This performs arithmetic operations using rational numbers. Rational numbers are those numbers that can be represented as the ratio between two integer numbers. Any ...

http://www.phpclasses.org/browse/package/2873.html

rational - Definition from the Merriam-Webster ...


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Definition of rational from the Merriam-Webster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games.

http://www.merriam-webster.com/dictionary/rational

Laws of Rational Exponents


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Radicals can also be expressed as a rational (or fractional) power of an expression. ... rational power, and the exponent of the radicand (expression inside ...

http://regentsprep.org/Regents/mathb/3B1/RatPow...

CLHS: Function RATIONAL, RATIONALIZE


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If number is already rational, it is returned. ... rationalize returns a rational that approximates the float to the accuracy of ...

http://www.lisp.org/HyperSpec/Body/fun_rational...

Rational Functions


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Rational Functions Lab. You are to do this lab in small groups. ... When entering rational functions, make sure to put parentheses around the ...

http://www.wooster.edu/math/Labs/RationalFuncti...

Rational Numbers ( rational )


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creates an instance q of type rational and initializes it with the value of x. Operations ... rational& q.simplify(integer a) simplifies q by a. ...

http://www.cs.cmu.edu/~smonti/html/leda/rationa...

Pauls Online Notes : Algebra - Rational Express...


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Well the same is true for rational expressions. So, when dealing with rational expressions we will always assume that whatever x ...

http://tutorial.math.lamar.edu/Classes/Alg/Rati...

Rational_Functions


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In the homework assignments, you will see some situations in which rational functions arise. A basic example of a rational function is. ...

http://www.math.csusb.edu/math110/src/rationals...

Definition of a Rational Function


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A rational function is basically a division of two polynomial functions. ... In formal notation, a rational function would be symbolized like this: ...

http://id.mind.net/~zona/mmts/functionInstitute...

Rational Tangles


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Conway's Theorem states that two rational tangles ... whatsoever, and that this fraction agrees with the rational tangle fraction ...

http://www.math.uic.edu/~kauffman/RTang.pdf

Rational Number Tutorial


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We will be using a rational number simulator throughout this tutorial. ... a feel for how the minimum and maximum integers control what rational numbers exist. ...

http://www.cs.utah.edu/~zachary/isp/applets/Rat...

24.5 Field of Rational Numbers


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Previous: 24.4 Elements of Up: 24. Standard Commutative Rings Next: 24.6 Rational Numbers ... types that coerce into the rational field include str, int, long, ...

http://www.sagemath.org/doc/html/ref/module-sag...

PlanetMath: rational number


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Under this ordering relation, the rational numbers form a topological space ... This is version 10 of rational number, born on 2001-10-19, modified 2005-02-14. ...

http://planetmath.org/encyclopedia/RationalNumb...

Class: Rational


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A rational number is a number that can be expressed as a fraction p/q where p ... File rational.rb, line 102 def initialize(num, den) if den < 0 num = -num den ...

http://www.ruby-doc.org/stdlib/libdoc/rational/...

Authorized Rational Training


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Authorized Rational Training Center - TrainingPage provides our clients with Rational Education Training Courses Online ...e-learning, Rational Public + Private courses

http://www.trainingpage.com/technology/rational/

MathSteps: Grade 7: Rationals: What Is It?


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Rational numbers are simply numbers that can be written as fractions or ratios ... So, any terminating decimal is a rational number. ...

http://www.eduplace.com/math/mathsteps/7/a/inde...

Operator Overloading


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The Rational Numbers and Operator Overloading. Introduction. Our rational number system should have all of the arithmetic operation of a ...

http://www.uwgb.edu/mielkeb/cs371/RATIONAL.HTM

Rational Functions


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Objectives: In this tutorial, we define rational functions. We discuss the domain and range of rational functions. ... to recognize a rational function algebraically; ...

http://archives.math.utk.edu/visual.calculus/0/...

4.6.4.2. Rational Function Models


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... some explanation of rational function models is required. ... Rational functions are typically identified by the degrees of the numerator and denominator. ...

http://www.itl.nist.gov/div898/handbook/pmd/sec...

Rational Maps with Symmetry.


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To compute extensions, one must use rational maps with icosahedral symmetry. ... Ordinary Newton's method applied to a rational function p(z) can be thought of ...

http://math.dartmouth.edu/~doyle/docs/icos/icos...

SparkNotes: Rational Expressions: Adding and Su...


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To add or subtract rational expressions with like denominators, add or subtract ... Similarly, rational expressions can be added or subtracted if and only if they ...

http://www.sparknotes.com/math/algebra2/rationa...

Rational Numbers


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Rational Numbers. ��� Data fields (private members) long numerator. long ... public Rational(long n,long d) long gcd = gcd(n,d); numerator = numerator / gcd; ...

http://www.csun.edu/~zart/comp110/chapter5ratio...

Software Magazine


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A Rational Approach to Objects ... Oracle, Hewlett-Packard and Texas Instruments Software have endorsed Rational's OMG submission. ...

http://www.onstrategies.com/filesnew/writings/m...

IBM DEMOzone: Rational product families


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See demonstrations of IBM Software and IBM Systems in action. ... Rational software provides a full life-cycle development platform that improves ...

http://demos.dfw.ibm.com/brands/rational/

Rational Numbers (rational)


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creates an instance q of type rational and initializes it with the value of x. Operations ... rational& q.simplify(integer a) simplifies q by a. ...

http://graphics.stanford.edu/courses/cs368/LEDA...

Math 1010 on-line - Rational Functions and Expr...


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A rational expression is an algebraic expression that can be written as the ... Examples for rational functions (and associated expressions) include: ...

http://www.math.utah.edu/online/1010/rational/

Rational Software Global User Group Community


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Recent News Rational News Vendor News Newsletters. Events Calendar Webcasts ... Education Zone References Useful Links Rational tutorials (on developerWorks) ...

http://www.rational-ug.org/helpfile

rat, rats :: Functions (MATLAB Function Reference)


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Rational approximations are generated by truncating continued ... rational number. ... To see how the rational approximation is generated, the statement ...

http://www.mathworks.com/access/helpdesk/help/t...

The Domain of Rational Expressions


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Since rational expressions are unde���ned when the. denominator is zero, the domain of a rational expression is the set of all real ...

http://www.math.temple.edu/~zachhh/rational_exp...

www.apl.jhu.edu/Notes/Boon/605421/Code/Rational...


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to Rational object) - number to be added to this one // RETURNS: ref. to a new Rational object that has a numerator and // denominator (in reduced ...

http://www.apl.jhu.edu/Notes/Boon/605421/Code/R...

Rational Points ( rat_point )


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Next: Rational Segments ( rat_segment Up: Basic Data Types for Previous: ... p(rational a, rational b) ... rational. p.ycoord() returns the y-coordinate of p. ...

http://www.cs.cmu.edu/~smonti/HTML/leda/rat_poi...

rational number: Definition and Much More from ...


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rational number n. A number capable of being expressed as an integer or a quotient of integers, ... Non-integer rational numbers (commonly called fractions) ...

http://www.answers.com/topic/rational-number

Rational number - encyclopedia article - Citize...


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In mathematics, a rational number is a number that can be expressed as a ratio of two integers. ... Non-integer rational numbers (commonly called fractions) ...

http://en.citizendium.org/wiki/Rational_number

Rational Numbers


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Formal Definition of Rational Number. More formally we would say: A rational number is a number that is expressed in the form p/q ...

http://www.mathsisfun.com/rational-numbers.html

rational number -- Britannica Online Encyclopedia


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Britannica online encyclopedia article on rational number:...all real numbers came to occupy him more and more. He began to discover unexpected properties of sets. ...

http://www.britannica.com/EBchecked/topic/49201...

Rational Numbers ��� A Case Study


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A Rational number is a ratio of two integers. ... In this cases, other has to be another rational number instance. ... example, if pi=Rational(22,7), then pi. ...

http://homepage.mac.com/s_lott/books/nonprog/ht...

4.8.1.2. Rational Functions


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Rational function models are a closed family. ... Rational functions have excellent extrapolatory powers. Rational functions can typically be tailored to model ...

http://www.itl.nist.gov/div898/handbook/pmd/sec...

CLHS: System Class RATIONAL


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The canonical representation of a rational is as an integer if its value is ... The types integer and ratio are disjoint subtypes of type rational. ...

http://www.lisp.org/HyperSpec/Body/syscla_ratio...

Rational Expressions


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What is a rational expression anyway? It is the quotient of two polynomials. ... SIMPLIFICATION OF RATIONAL EXPRESSIONS. We reduce rational expressions to ...

http://www.westgatech.edu/Facultywebs/pmanion/r...

4.8.1.2. Rational Functions


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A rational function is simply the ratio of two polynomial functions. ... Rational functions are typically identified by the orders of the numerator and denominator. ...

http://www.6sigma.us/handbook/pmd/section8/pmd8...

Muldis::D::Ext::Rational - Muldis D extension f...


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sys.std.Rational.Type.RatRoundMeth. sys.std.Rational.Type.RatRoundRule. SYSTEM-DEFINED RATIONAL-CONCERNING FUNCTIONS. SEE ALSO. AUTHOR. LICENSE AND COPYRIGHT ...

http://search.cpan.org/~duncand/Muldis-D-0.34.0...

Definition: rational from Online Medical Dictio...


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The Online Medical Dictionary is a searchable dictionary of definitions from medicine, science and technology. ... Rational, reasonable. ...

http://cancerweb.ncl.ac.uk/cgi-bin/omd?rational

Rational Kernels: Theory and Algorithms


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show that rational kernels can be computed ef���ciently using a general algorithm ... are speci���c instances of rational kernels. ...

http://jmlr.csail.mit.edu/papers/volume5/cortes...

Muldis::D::Ext::Rational - Muldis D extension f...


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FUNCTIONS FOR RATIONAL CONVERSION WITH TEXT. FUNCTIONS FOR RATIONAL CONVERSION WITH INTEGER ... of rational data types and operators in general, and not just ...

http://search.cpan.org/~duncand/Muldis-D-0.38.0...

RATIONAL ERROR CORRECTION P. A. Tinsley


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Under general conditions, linear decision rules of agents with rational expectations are ... However, empirical rejections of rational expectation ...

http://www.federalreserve.gov/pubs/feds/1998/19...

BioMath: Rational Functions


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In this section we will explore asymptotes of rational functions. ... The Biology Project > Biomath > Rational Functions > Asymptotes. The Biology Project ...

http://www.biology.arizona.edu/BioMath/tutorial...