]> 2008/06/10 OpenCyc Knowledge Base Copyright© 2001-2008 Cycorp, Inc., http://www.cyc.com/, Austin, TX, USA This file contains an OWL representation of information contained in the OpenCyc Knowledge Base. The content of this OWL file is licensed under the Creative Commons Attribution 3.0 license whose text can be found at http://creativecommons.org/licenses/by/3.0/legalcode. The content of this OWL file, including the OpenCyc content it represents, constitutes the "Work" referred to in the Creative Commons license. The terms of this license equally apply to, without limitation, renamings and other logically equivalent reformulations of the content of this OWL file (or portions thereof) in any natural or formal language, as well as to derivations of this content or inclusion of it in other ontologies. externalID A unique, language-neutral, variable-sized identifier for a concept that can be used to refer unambiguously to that concept across OWL exports or across Cyc inference engines. label A natural-language representation for a concept that is both human readable and readable by the Cyc inference engine. These terms are not guaranteed to refer to the same concept across time but are guaranteed to be consistent within a particular OWL export. Use 'cycAnnot:externalID' for unambiguously referring to a concept across OWL exports or across Cyc inference engines. <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is the mathematical constant which represents the Golden Ratio and is defined to be (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAq5wpEbGdrcN5Y29ycA" class="cyc_term">QuotientFn</a> (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViArpwpEbGdrcN5Y29ycA" class="cyc_term">PlusFn</a> 1 (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxBZwpEbGdrcN5Y29ycA" class="cyc_term">SquareRootFn</a> 5)) 2). The Golden Ratio has many surprising and curious mathematical properties. It is also sometimes called the 'Divine Proportion', and has been extensively used in architecture because objects in this proportion tend to be visually appealing. Although <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyaZwpEbGdrcN5Y29ycA" class="cyc_term">IrrationalNumber</a>, a reasonable rational approximation is 1.6180340 GoldenRatio-Number the golden ratio http://en.wikipedia.org/wiki/Golden_ratio the divine proportion The collection of all irrational numbers. A type of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>. The collection <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyaZwpEbGdrcN5Y29ycA" class="cyc_term">IrrationalNumber</a> is a <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjZs5wpEbGdrcN5Y29ycA" class="cyc_term">MeasurableScalarIntervalType</a> and a #$UnitOfMeasureCollection. irrational number IrrationalNumber <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is the mathematical constant which represents the Golden Ratio and is defined to be (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAq5wpEbGdrcN5Y29ycA" class="cyc_term">QuotientFn</a> (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViArpwpEbGdrcN5Y29ycA" class="cyc_term">PlusFn</a> 1 (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxBZwpEbGdrcN5Y29ycA" class="cyc_term">SquareRootFn</a> 5)) 2). The Golden Ratio has many surprising and curious mathematical properties. It is also sometimes called the 'Divine Proportion', and has been extensively used in architecture because objects in this proportion tend to be visually appealing. Although <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyaZwpEbGdrcN5Y29ycA" class="cyc_term">IrrationalNumber</a>, a reasonable rational approximation is 1.6180340 GoldenRatio-Number the golden ratio real number greater than or equal to one Real1-Infinity <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVs2MZwpEbGdrcN5Y29ycA" class="cyc_term">Real1_Infinity</a> is the subcollection of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a> that excludes numbers less than 1. Each instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVs2MZwpEbGdrcN5Y29ycA" class="cyc_term">Real1_Infinity</a> is a number greater than or equal to 1. Real0-100 A number between 0 and 100 used to denote the real0-100age of what ever. real number one through one hundred Pretty String (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA" class="cyc_term">prettyString</a> TERM STRING) means that STRING is the English word or expression (sequence of words) commonly used to refer to TERM. The predicate <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rwLSVCpwpEbGdrcN5Y29ycA" class="cyc_term">prettyString</a> is used by the code which generates CycL to English paraphrases, but its applicability is not restricted to this use. prettyString A <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAmJwpEbGdrcN5Y29ycA" class="cyc_term">RealNumber</a>, <code>xA</code>, is an <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rQSKaIHb0QdmeFP53_RWUlg" class="cyc_term">AlgebraicNumber</a> if and only if it is the solution to some polynomial equation of the form <pre> anxn + an-1xn-1 + ... + a1x + a0 = 0 </pre> where the <code>ai</code> are <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVieEpwpEbGdrcN5Y29ycA" class="cyc_term">Integer</a>s. The smallest <code>n</code> for which <code>xA</code> is the solution to some polynomial equation of order <code>n</code> is called the degree of <code>xA</code>. Cf. <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rNg-zlHbzQdmFOasy86iwmw" class="cyc_term">TranscendentalNumber</a>. algebraic number AlgebraicNumber <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is the mathematical constant which represents the Golden Ratio and is defined to be (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAq5wpEbGdrcN5Y29ycA" class="cyc_term">QuotientFn</a> (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViArpwpEbGdrcN5Y29ycA" class="cyc_term">PlusFn</a> 1 (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxBZwpEbGdrcN5Y29ycA" class="cyc_term">SquareRootFn</a> 5)) 2). The Golden Ratio has many surprising and curious mathematical properties. It is also sometimes called the 'Divine Proportion', and has been extensively used in architecture because objects in this proportion tend to be visually appealing. Although <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyaZwpEbGdrcN5Y29ycA" class="cyc_term">IrrationalNumber</a>, a reasonable rational approximation is 1.6180340 GoldenRatio-Number the golden ratio <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is the mathematical constant which represents the Golden Ratio and is defined to be (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAq5wpEbGdrcN5Y29ycA" class="cyc_term">QuotientFn</a> (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViArpwpEbGdrcN5Y29ycA" class="cyc_term">PlusFn</a> 1 (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxBZwpEbGdrcN5Y29ycA" class="cyc_term">SquareRootFn</a> 5)) 2). The Golden Ratio has many surprising and curious mathematical properties. It is also sometimes called the 'Divine Proportion', and has been extensively used in architecture because objects in this proportion tend to be visually appealing. Although <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyaZwpEbGdrcN5Y29ycA" class="cyc_term">IrrationalNumber</a>, a reasonable rational approximation is 1.6180340 GoldenRatio-Number the golden ratio <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is the mathematical constant which represents the Golden Ratio and is defined to be (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAq5wpEbGdrcN5Y29ycA" class="cyc_term">QuotientFn</a> (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvViArpwpEbGdrcN5Y29ycA" class="cyc_term">PlusFn</a> 1 (<a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxBZwpEbGdrcN5Y29ycA" class="cyc_term">SquareRootFn</a> 5)) 2). The Golden Ratio has many surprising and curious mathematical properties. It is also sometimes called the 'Divine Proportion', and has been extensively used in architecture because objects in this proportion tend to be visually appealing. Although <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvr2CBJwpEbGdrcN5Y29ycA" class="cyc_term">GoldenRatio_Number</a> is an instance of <a href="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjyaZwpEbGdrcN5Y29ycA" class="cyc_term">IrrationalNumber</a>, a reasonable rational approximation is 1.6180340 GoldenRatio-Number the golden ratio