\BOOKMARK [0][-]{chapter.1}{Release Notes}{}
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\BOOKMARK [2][-]{subsection.1.1.1}{What is new in Axiom}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.2}{Online Information}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.3}{May 2012 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.4}{March 2012 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.5}{January 2012 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.6}{November 2011 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.7}{September 2011 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.8}{July 2011 Release Notes}{section.1.1}
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\BOOKMARK [2][-]{subsection.1.1.10}{March 2011 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.11}{January 2011 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.12}{November 2010 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.13}{September 2010 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.14}{July 2010 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.15}{May 2010 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.16}{March 2010 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.17}{January 2010 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.18}{November 2009 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.19}{September 2009 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.20}{July 2009 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.21}{May 2009 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.22}{March 2009 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.23}{January 2009 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.24}{November 23, 2008 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.25}{September 23, 2008 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.26}{July 23, 2008 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.27}{May 27, 2008 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.28}{March 25, 2008 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.29}{January 25, 2008 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.30}{November 23, 2007 Release Notes}{section.1.1}
\BOOKMARK [2][-]{subsection.1.1.31}{Feature Complete Release Feb 2005}{section.1.1}
\BOOKMARK [0][-]{chapter.2}{Special hyperdoc pages}{}
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\BOOKMARK [2][-]{subsection.2.1.1}{Names of software and facilities}{section.2.1}
\BOOKMARK [2][-]{subsection.2.1.2}{Special hooks to Unix}{section.2.1}
\BOOKMARK [2][-]{subsection.2.1.3}{HyperDoc menu macros}{section.2.1}
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\BOOKMARK [2][-]{subsection.2.1.13}{Not Connected to Axiom}{section.2.1}
\BOOKMARK [2][-]{subsection.2.1.14}{Do You Really Want to Exit?}{section.2.1}
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\BOOKMARK [2][-]{subsection.2.1.17}{Sorry!}{section.2.1}
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\BOOKMARK [2][-]{subsection.3.15.4}{The Quaternion Numbers as a Clifford Algebra}{section.3.15}
\BOOKMARK [2][-]{subsection.3.15.5}{The Exterior Algebra on a Three Space}{section.3.15}
\BOOKMARK [2][-]{subsection.3.15.6}{The Dirac Spin Algebra}{section.3.15}
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\BOOKMARK [1][-]{section.3.60}{link.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.60.2}{Use of the Link from HyperDoc}{section.3.60}
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\BOOKMARK [2][-]{subsection.3.60.4}{C05 Roots of One or More Transcendental Equations}{section.3.60}
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\BOOKMARK [2][-]{subsection.3.60.8}{D03 Partial Differential Equations}{section.3.60}
\BOOKMARK [2][-]{subsection.3.60.9}{E01 Interpolation}{section.3.60}
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\BOOKMARK [2][-]{subsection.3.60.12}{F01 Matrix Operations - Including Inversion}{section.3.60}
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\BOOKMARK [2][-]{subsection.3.60.14}{F04 Simultaneous Linear Equations}{section.3.60}
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\BOOKMARK [2][-]{subsection.3.61.4}{Changing List Elements}{section.3.61}
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\BOOKMARK [1][-]{section.3.63}{lodo1.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.64.3}{Differential Operators with Matrix Coefficients Operating on Vectors}{section.3.64}
\BOOKMARK [1][-]{section.3.65}{lpoly.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.65.1}{LiePolynomial}{section.3.65}
\BOOKMARK [1][-]{section.3.66}{magma.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.67}{man0.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.67.3}{Axiom Browser}{section.3.67}
\BOOKMARK [2][-]{subsection.3.67.4}{The Hyperdoc Browse Facility}{section.3.67}
\BOOKMARK [1][-]{section.3.68}{mapping.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.68.2}{Domain Constructor Mapping}{section.3.68}
\BOOKMARK [1][-]{section.3.69}{mappkg1.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.69.1}{MappingPackage1}{section.3.69}
\BOOKMARK [1][-]{section.3.70}{mset.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.72}{mkfunc.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.73}{mpoly.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.74}{newuser.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.74.1}{No More Help :-\(}{section.3.74}
\BOOKMARK [2][-]{subsection.3.74.2}{You Tried It!}{section.3.74}
\BOOKMARK [1][-]{section.3.75}{none.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.75.1}{None}{section.3.75}
\BOOKMARK [1][-]{section.3.76}{numbers.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.76.2}{Fraction}{section.3.76}
\BOOKMARK [2][-]{subsection.3.76.3}{Rational Number}{section.3.76}
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\BOOKMARK [2][-]{subsection.3.76.5}{Integer Examples}{section.3.76}
\BOOKMARK [2][-]{subsection.3.76.6}{Integer Example Proof}{section.3.76}
\BOOKMARK [2][-]{subsection.3.76.7}{Integer Problems}{section.3.76}
\BOOKMARK [2][-]{subsection.3.76.8}{Integer Problem Proof}{section.3.76}
\BOOKMARK [2][-]{subsection.3.76.9}{Solution to Problem \0431}{section.3.76}
\BOOKMARK [2][-]{subsection.3.76.10}{Solution to Problem \0432}{section.3.76}
\BOOKMARK [1][-]{section.3.77}{oct.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.77.1}{Octonion}{section.3.77}
\BOOKMARK [1][-]{section.3.78}{odpol.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.78.1}{OrderlyDifferentialPolynomial}{section.3.78}
\BOOKMARK [1][-]{section.3.79}{op.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.80}{ovar.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.81}{perman.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.81.1}{Permanent}{section.3.81}
\BOOKMARK [1][-]{section.3.82}{pfr.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.83}{poly.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.83.2}{The Specific Polynomial Types}{section.3.83}
\BOOKMARK [2][-]{subsection.3.83.3}{Basic Operations On Polynomials}{section.3.83}
\BOOKMARK [2][-]{subsection.3.83.4}{Polynomial Evaluation and Substitution}{section.3.83}
\BOOKMARK [2][-]{subsection.3.83.5}{Greatest Common Divisors, Resultants, and Discriminants}{section.3.83}
\BOOKMARK [2][-]{subsection.3.83.6}{Roots of Polynomials}{section.3.83}
\BOOKMARK [1][-]{section.3.84}{poly1.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.85}{quat.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.86}{radix.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.87}{reclos.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.88}{sregset.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.88.1}{SquareFreeRegularTriangularSet}{section.3.88}
\BOOKMARK [1][-]{section.3.89}{stbl.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.90}{stream.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.90.1}{Stream}{section.3.90}
\BOOKMARK [1][-]{section.3.91}{string.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.93.1}{Symbol}{section.3.93}
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\BOOKMARK [2][-]{subsection.3.94.1}{Table}{section.3.94}
\BOOKMARK [1][-]{section.3.95}{textfile.ht}{chapter.3}
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\BOOKMARK [2][-]{subsection.3.96.3}{Linear Algebra}{section.3.96}
\BOOKMARK [2][-]{subsection.3.96.4}{Calculus}{section.3.96}
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\BOOKMARK [2][-]{subsection.3.98.2}{Domain Constructor Union}{section.3.98}
\BOOKMARK [2][-]{subsection.3.98.3}{Domain Union\(A,...,B\)}{section.3.98}
\BOOKMARK [2][-]{subsection.3.98.4}{Domain Constructor Union}{section.3.98}
\BOOKMARK [1][-]{section.3.99}{uniseg.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.100}{up.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.101}{oreup.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.101.1}{UnivariateSkewPolynomial}{section.3.101}
\BOOKMARK [1][-]{section.3.102}{vector.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.103}{void.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.103.1}{Void}{section.3.103}
\BOOKMARK [1][-]{section.3.104}{wutset.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.104.1}{WuWenTsunTriangularSet}{section.3.104}
\BOOKMARK [1][-]{section.3.105}{xmpexp.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.105.1}{Some Examples of Domains and Packages}{section.3.105}
\BOOKMARK [1][-]{section.3.106}{xpbwpoly.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.106.1}{XPBWPolynomial}{section.3.106}
\BOOKMARK [1][-]{section.3.107}{xpoly.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.108}{xpr.ht}{chapter.3}
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\BOOKMARK [1][-]{section.3.109}{zlindep.ht}{chapter.3}
\BOOKMARK [2][-]{subsection.3.109.1}{IntegerLinearDependence}{section.3.109}
\BOOKMARK [0][-]{chapter.4}{Users Guide Pages \(ug.ht\)}{}
\BOOKMARK [1][-]{subsection.4.0.2}{Users Guide}{chapter.4}
\BOOKMARK [0][-]{chapter.5}{Users Guide Chapter 0 \(ug00.ht\)}{}
\BOOKMARK [1][-]{subsection.5.0.3}{What's New for May 2008}{chapter.5}
\BOOKMARK [2][-]{subsection.5.0.4}{New polynomial domains and algorithms}{subsection.5.0.3}
\BOOKMARK [2][-]{subsection.5.0.5}{Enhancements to HyperDoc and Graphics}{subsection.5.0.3}
\BOOKMARK [2][-]{subsection.5.0.6}{Enhancements to NAGLink}{subsection.5.0.3}
\BOOKMARK [2][-]{subsection.5.0.7}{Enhancements to the Lisp system}{subsection.5.0.3}
\BOOKMARK [0][-]{chapter.6}{Users Guide Chapter 1 \(ug01.ht\)}{}
\BOOKMARK [1][-]{subsection.6.0.8}{An Overview of Axiom}{chapter.6}
\BOOKMARK [2][-]{subsection.6.0.9}{Starting Up and Winding Down}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.10}{Clef}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.11}{Typographic Conventions}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.12}{The Axiom Language}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.13}{Arithmetic Expressions}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.14}{Previous Results}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.15}{Some Types}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.16}{Symbols, Variables, Assignments, and Declarations}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.17}{Conversion}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.18}{Calling Functions}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.19}{Some Predefined Macros}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.20}{Long Lines}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.21}{Comments}{subsection.6.0.8}
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\BOOKMARK [2][-]{subsection.6.0.23}{Numbers}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.24}{Data Structures}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.25}{Expanding to Higher Dimensions}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.26}{Writing Your Own Functions}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.27}{Solution of Equations}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.28}{Records}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.29}{Subdomains Again}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.30}{Package Calling and Target Types}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.31}{Resolving Types}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.32}{Exposing Domains and Packages}{subsection.6.0.8}
\BOOKMARK [2][-]{subsection.6.0.33}{Commands for Snooping}{subsection.6.0.8}
\BOOKMARK [0][-]{chapter.7}{Users Guide Chapter 3 \(ug03.ht\)}{}
\BOOKMARK [1][-]{subsection.7.0.34}{Using Hyperdoc}{chapter.7}
\BOOKMARK [2][-]{subsection.7.0.35}{Headings}{subsection.7.0.34}
\BOOKMARK [2][-]{subsection.7.0.36}{Key Definitions}{subsection.7.0.34}
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\BOOKMARK [2][-]{subsection.7.0.39}{Radio Buttons and Toggles}{subsection.7.0.34}
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\BOOKMARK [2][-]{subsection.7.0.41}{Logical Searches}{subsection.7.0.34}
\BOOKMARK [2][-]{subsection.7.0.42}{Example Pages}{subsection.7.0.34}
\BOOKMARK [2][-]{subsection.7.0.43}{X Window Resources for Hyperdoc}{subsection.7.0.34}
\BOOKMARK [0][-]{chapter.8}{Users Guide Chapter 4 \(ug04.ht\)}{}
\BOOKMARK [1][-]{subsection.8.0.44}{Input Files and Output Styles}{chapter.8}
\BOOKMARK [2][-]{subsection.8.0.45}{Input Files}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.46}{The .axiom.input File}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.47}{Common Features of Using Output Formats}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.48}{Monospace 2D Mathematical Format}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.49}{HTML Format}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.50}{Immediate and Delayed Assignments}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.51}{Blocks}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.52}{if-then-else}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.53}{Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.54}{Compiling vs. Interpreting Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.55}{return in Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.56}{break in Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.57}{break vs. => in Loop Bodies}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.58}{More Examples of break}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.59}{iterate in Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.60}{while Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.61}{for Loops}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.62}{for i in n..m repeat}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.63}{for i in n..m by s repeat}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.64}{for i in n.. repeat}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.65}{for x in l repeat}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.66}{``Such that'' Predicates}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.67}{Parallel Iteration}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.68}{Creating Lists and Streams with Iterators}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.69}{Addendum: Appending a Graph to a Viewport Window Containing a Graph}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.70}{Three-Dimensional Graphics}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.71}{Plotting Three-Dimensional Functions of Two Variables}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.72}{Plotting Three-Dimensional Parametric Space Curves}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.73}{Plotting 3D Parametric Surfaces}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.74}{Three-Dimensional Options}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.75}{The makeObject Command}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.76}{Building 3D Objects From Primitives}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.77}{Coordinate System Transformations}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.78}{Three-Dimensional Clipping}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.79}{Three-Dimensional Control-Panel}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.80}{Operations for Three-Dimensional Graphics}{subsection.8.0.44}
\BOOKMARK [2][-]{subsection.8.0.81}{Customization using .Xdefaults}{subsection.8.0.44}
\BOOKMARK [0][-]{chapter.9}{Users Guide Chapter 8 \(ug08.ht\)}{}
\BOOKMARK [1][-]{subsection.9.0.82}{Advanced Problem Solving}{chapter.9}
\BOOKMARK [2][-]{subsection.9.0.83}{Numeric Functions}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.84}{Polynomial Factorization}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.85}{Integer and Rational Number Coefficients}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.86}{Finite Field Coefficients}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.87}{Simple Algebraic Extension Field Coefficients}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.88}{Factoring Rational Functions}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.89}{Manipulating Symbolic Roots of a Polynomial}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.90}{Using a Single Root of a Polynomial}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.91}{Using All Roots of a Polynomial}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.92}{Computation of Eigenvalues and Eigenvectors}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.93}{Solution of Linear and Polynomial Equations}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.94}{Solution of Systems of Linear Equations}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.95}{Solution of a Single Polynomial Equation}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.96}{Solution of Systems of Polynomial Equations}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.97}{Limits}{subsection.9.0.82}
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\BOOKMARK [2][-]{subsection.9.0.114}{Modular Arithmetic and Prime Fields}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.115}{Extensions of Finite Fields}{subsection.9.0.82}
\BOOKMARK [2][-]{subsection.9.0.116}{Irreducible Mod Polynomial Representations}{subsection.9.0.82}
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\BOOKMARK [2][-]{subsection.9.0.119}{Conversion Operations for Finite Fields}{subsection.9.0.82}
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\BOOKMARK [2][-]{subsection.9.0.123}{Non-Associative Algebras and Genetic Laws}{subsection.9.0.82}
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\BOOKMARK [2][-]{subsection.10.0.126}{A Ribbon Program}{subsection.10.0.124}
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\BOOKMARK [2][-]{subsection.10.0.136}{Example 1: Clifford Algebra}{subsection.10.0.124}
\BOOKMARK [2][-]{subsection.10.0.137}{Example 2: Building A Query Facility}{subsection.10.0.124}
\BOOKMARK [2][-]{subsection.10.0.138}{A Little Query Language}{subsection.10.0.124}
\BOOKMARK [2][-]{subsection.10.0.139}{The Database Constructor}{subsection.10.0.124}
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\BOOKMARK [2][-]{subsection.10.0.144}{Putting It All Together}{subsection.10.0.124}
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\BOOKMARK [2][-]{subsection.15.28.1}{Extending Hyperdoc}{section.15.28}
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\BOOKMARK [0][-]{chapter.16}{NAG Library Routines}{}
\BOOKMARK [1][-]{section.16.1}{nagaux.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.1.1}{NAG On-line Documentation}{section.16.1}
\BOOKMARK [2][-]{subsection.16.1.2}{NAG Documentation: summary}{section.16.1}
\BOOKMARK [2][-]{subsection.16.1.3}{NAG Documentation: introduction}{section.16.1}
\BOOKMARK [2][-]{subsection.16.1.4}{NAG Documentation: keyword in context}{section.16.1}
\BOOKMARK [2][-]{subsection.16.1.5}{NAG Documentation: conversion}{section.16.1}
\BOOKMARK [1][-]{section.16.2}{nagc.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.2.1}{ Zeros of Polynomials}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.2}{ Roots of a complex polynomial equation}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.3}{ Roots of a real polynomial equation}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.4}{ Roots of One or More Transcendental Equations}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.5}{ Zero of a continuous function in a given interval}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.6}{ Solution of a system of nonlinear equations}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.7}{ Solution of a system of nonlinear equations}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.8}{ Checks the gradients of a set of non-linear functions}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.9}{ Discrete Fourier transform of real or complex data values}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.10}{ Discrete Fourier transform of n real data values}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.11}{ Discrete Fourier transform of a Hermitian sequence}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.12}{ Discrete Fourier transform of n complex data values}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.13}{ Circular convolution or correlation of two real vectors}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.14}{ Discrete Fourier transforms of m sequences}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.15}{ Discrete Fourier transforms of m Hermitian sequences}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.16}{ Discrete Fourier transforms of m complex sequences}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.17}{ Discrete Fourier transform of bivariate complex data}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.18}{ Summation of Series}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.19}{ Complex conjugate of a sequence of n data values}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.20}{ Complex conjugates of m Hermitian sequences}{section.16.2}
\BOOKMARK [2][-]{subsection.16.2.21}{ Form real and imaginary parts of m Hermitian sequences}{section.16.2}
\BOOKMARK [1][-]{section.16.3}{nagd.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.3.1}{ Quadrature}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.2}{ Approximation of the integral over a finite interval}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.3}{ Adaptive integration over a finite integral}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.4}{ Approximate integration with local singular points}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.5}{ Approximate integration over a \(semi-\)infinite interval}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.6}{ Approximate sine or cosine transform over finite interval}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.7}{ Adaptive integration of weighted function over an interval}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.8}{ Hilbert transform over finite interval}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.9}{ Approximate Sine or Cosine over [a,]}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.10}{ Weights and abscissae for Gaussian quadrature formula}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.11}{ Multidimensional integrals with finite limits}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.12}{ Third-order finite-difference integration}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.13}{ Monte Carlo integration over hyper-rectangular regions}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.14}{ Ordinary Differential Equations}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.15}{ First-order ODE over an interval with initial conditions}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.16}{ First-order ODE with initial conditions and user function}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.17}{ First-order ODE with variable-order, variable-step}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.18}{ Stiff First-order ODE with variable order and step}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.19}{ Two-point boundary-value ODE}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.20}{ Two-point boundary value ODE with deferred correction}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.21}{ Eignevalue of regular singular 2nd-order Sturm-Liouville}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.22}{ Two-point boundary-value ODE equation systems}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.23}{ Partial differential equations}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.24}{ Discrete elliptic PDE on rectangular region}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.25}{ Discrete 2nd-order elliptic PDE on rectangular regions}{section.16.3}
\BOOKMARK [2][-]{subsection.16.3.26}{ Helmholtz equation in 3 dimensions}{section.16.3}
\BOOKMARK [1][-]{section.16.4}{nage.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.4.1}{ Interpolation}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.2}{ Cubic spline interpolant}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.3}{ Monoticity-preserving piecewise cubic Hermite interpolant}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.4}{ Piecewise cubic Hermite interpolant}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.5}{ Piecewise cubic Hermite interpolant and 1st deriv}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.6}{ Definite integral of piecewise cubic Hermite interpolant}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.7}{ Bicubic spline interpolated surface}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.8}{ Two-D surface interpolating a set of scattered data points}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.9}{ Evaluate 2D interpolant function from E01SAF}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.10}{ Generate 2D surface interpolating a scattered data points}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.11}{ Evaluate 2D interpolating function from E01SEF}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.12}{ Curve and Surface Fitting}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.13}{ Least-squares polynomial approximations}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.14}{ Evaluate polynomial from Chebyshev-series representation}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.15}{ Constrained weighted least-squares polynomial}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.16}{ Coefficients of polynomial derivative}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.17}{ Find coefficients of indefinite integral of polynomial}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.18}{ Evaluate polynomial in Chebyshev-series representation}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.19}{ Weighted least-squares aprrox to data points}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.20}{ Evaluates a cubic spline from its B-spline representation}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.21}{ Evaluate cubic spline and 3 derivatives from B-spline}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.22}{ Definite integral of cubic spline from B-spline}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.23}{ Cubic spline approximation to an arbitrary set points}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.24}{ Minimal, weighted least-squares bicubic spline fit}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.25}{ Bicubic spline approximation to a set of data values}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.26}{ Bicubic spline approximation to a set of scattered data}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.27}{ Calculates values of a bicubic spline from B-spline}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.28}{ Calculates values of a bicubic spline from B-spline}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.29}{ Calculates l1 solution to over-determined system equations}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.30}{ Sorts two-dimensional data into rectangular panels}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.31}{ Minimizing or Maximizing a Function}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.32}{ Minimizes a nonlinear function of several variable}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.33}{ Supply optional parameters to E04DGF from file}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.34}{ Supply individual optional params to E04DGF}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.35}{ Finding an unconstrained minimum of a sum of squares}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.36}{ Finding an unconstrained minimum of a sum of squares}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.37}{ Finding a minimum of a function}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.38}{ Solving linear programming problems}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.39}{ Solving linear or quadratic problems}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.40}{ Minimize an arbitrary smooth constrainted function}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.41}{ Supply optional parameters to E04UCF from file}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.42}{ Supply individual optional params to E04UCF}{section.16.4}
\BOOKMARK [2][-]{subsection.16.4.43}{ Estimates of elements of the variance-covariance matrix}{section.16.4}
\BOOKMARK [1][-]{section.16.5}{nagf.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.5.1}{ Linear Algebra}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.2}{ Matrix Factorization}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.3}{ Factorizes a real sparse matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.4}{ Factorizes a real sparse matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.5}{ Incomplete Cholesky factorization}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.6}{ Cholesky factor of a symmetric positive-definite matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.7}{ QR factorization of the real m by n matrix A}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.8}{ B:=QB or B:=QT B}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.9}{ First ncolq columns of the real m by m orthogonal matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.10}{ QR factorization of the complex m by n matrix A}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.11}{ B:=QB or B:=QH B}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.12}{ First ncolq columns of the complex m by m unitary matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.13}{ Eigenvalues and Eigenvectors}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.14}{ Calculates all the eigenvalues of a real symmetric matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.15}{ Eigenvalues and eigenvectors of a real symmetric matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.16}{ Calculates all the eigenvalues of Ax=Bx}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.17}{ Eigenvalues and eigenvectors of Ax=Bx}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.18}{ Calculates all the eigenvalues of a real unsymmetric matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.19}{ Eigenvalues and eigenvectors of a real unsymmetric matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.20}{ Calculates all the eigenvalues of a complex matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.21}{ Eigenvalues and eigenvectors of a complex matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.22}{ Eigenvalues of a complex Hermitian matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.23}{ Eigenvalues/eigenvectors complex Hermitian matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.24}{ Eigenvalues and eigenvectors of a real symmetric matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.25}{ Eigenvalues of generalized eigenproblem Ax=Bx}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.26}{ Eigenvalues and eigenvectors of real sparse symmetric problem}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.27}{ Singular value decomposition of a general real matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.28}{ Singular value decomposition of a general complex matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.29}{ Simultaneous Linear Equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.30}{ Approximate solution of a set of complex linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.31}{ Approximate solution of a set of real linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.32}{ Real symmetric positive-definite linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.33}{ Set of real linear equations with a single right-hand side}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.34}{ Solution of a set of real sparse linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.35}{ Real symmetric positive-definite tridiagonal linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.36}{ Solution of a linear least-squares problem, Ax=b}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.37}{ Sparse symmetric positive-definite system linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.38}{ Solves a system of real sparse symmetric linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.39}{ Solution of a system of real linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.40}{ Solves sparse unsymmetric equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.41}{ Linear Algebra Support Routines}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.42}{ Linear Equations \(LAPACK\)}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.43}{ Computes the LU factorization of a real m by n matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.44}{ Solves a real system of linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.45}{ Factorization of a real symmetric positive-definite matrix}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.46}{ Real symmetric positive-definite system of linear equations}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.47}{ Sort vector of double precision numbers}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.48}{ Ranks a vector of double precision numbers}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.49}{ Ranks the rows of a matrix of double precision numbers}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.50}{ Ranks the columns of a matrix of double precision numbers}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.51}{ Rearranges a vector of double precision numbers}{section.16.5}
\BOOKMARK [2][-]{subsection.16.5.52}{ Inverts a permutation}{section.16.5}
\BOOKMARK [1][-]{section.16.6}{nags.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.6.1}{ Approximations of Special Functions}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.2}{ Exponential function ez , for complex z}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.3}{ Returns the value of the exponential integral E\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.4}{ Returns the value of the cosine integral}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.5}{ Returns the value of the sine integral}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.6}{ Returns the value of the Gamma function}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.7}{ Returns a value for the logarithm of the Gamma function}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.8}{ Incomplete gamma functions P\(a,x\) and Q\(a,x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.9}{ Returns the value of the complementary error function}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.10}{ Returns the value of the error function erfx}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.11}{ Returns the value of the Bessel Function Y0\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.12}{ Returns the value of the Bessel Function Y1\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.13}{ Returns the value of the Bessel Function J0\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.14}{ Returns the value of the Bessel Function J1\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.15}{ Returns a value for the Airy function, Ai\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.16}{ Returns a value of the Airy function, Bi\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.17}{ Value of the derivative of the Airy function Ai\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.18}{ Value for the derivative of the Airy function Bi\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.19}{ Values for the Bessel functions Y+n\(z\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.20}{ Values for the Bessel functions J+n\(z\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.21}{ Value of the Airy function Ai\(z\) or derivative Ai'\(z\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.22}{ Value of the Airy function Bi\(z\) or derivative Bi'\(z\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.23}{ Returns a sequence of values for the Hankel functions}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.24}{ Returns the value of the modified Bessel Function K0\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.25}{ Returns the value of the modified Bessel Function K1\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.26}{ Returns the value of the modified Bessel Function I0\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.27}{ Returns a value for the modified Bessel Function I1\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.28}{ Sequence of values for the modified Bessel Kn\(z\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.29}{ Sequence of values for the modified Bessel I+n}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.30}{ Returns a value for the Kelvin function ber x}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.31}{ Returns a value for the Kelvin function bei x}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.32}{ Returns a value for the Kelvin function ker x}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.33}{ Returns a value for the Kelvin function keix}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.34}{ Returns a value for the Fresnel Integral S\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.35}{ Returns a value for the Fresnel Integral C\(x\)}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.36}{ Returns a value of an elementary integral}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.37}{ Value of the symmetrised elliptic integral of first kind}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.38}{ Value of the symmetrised elliptic integral of second kind}{section.16.6}
\BOOKMARK [2][-]{subsection.16.6.39}{ Value of the symmetrised elliptic integral of third kind}{section.16.6}
\BOOKMARK [1][-]{section.16.7}{nagx.ht}{chapter.16}
\BOOKMARK [2][-]{subsection.16.7.1}{ Mathematical Constants}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.2}{ Machine Constants}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.3}{ Input/Output Utilities}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.4}{ Value of the current error message unit number}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.5}{ Value of the current advisory message unit number}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.6}{ Print a real matrix stored in a two-dimensional array}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.7}{ Print a complex matrix stored in a 2D array}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.8}{ Date and Time Utilities}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.9}{ Returns the current date and time}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.10}{ From seven-integer format time and date to character string}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.11}{ Compares two date/time character strings}{section.16.7}
\BOOKMARK [2][-]{subsection.16.7.12}{ Amount of processor time used}{section.16.7}
\BOOKMARK [0][-]{chapter.17}{NAG ASP Example Code}{}
\BOOKMARK [1][-]{section.17.1}{aspex.ht}{chapter.17}
\BOOKMARK [2][-]{subsection.17.1.1}{Asp1 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.2}{Asp10 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.3}{Asp12 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.4}{Asp19 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.5}{Asp20 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.6}{Asp24 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.7}{Asp27 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.8}{Asp28 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.9}{Asp29 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.10}{Asp30 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.11}{Asp31 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.12}{Asp33 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.13}{Asp34 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.14}{Asp35 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.15}{Asp4 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.16}{Asp41 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.17}{Asp42 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.18}{Asp49 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.19}{Asp50 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.20}{Asp55 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.21}{Asp6 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.22}{Asp7 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.23}{Asp73 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.24}{Asp74 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.25}{Asp77 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.26}{Asp78 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.27}{Asp8 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.28}{Asp80 Example Code}{section.17.1}
\BOOKMARK [2][-]{subsection.17.1.29}{Asp9 Example Code}{section.17.1}
\BOOKMARK [0][-]{chapter.18}{NAG ANNA Expert System}{}
\BOOKMARK [1][-]{section.18.1}{annaex.ht}{chapter.18}
\BOOKMARK [2][-]{subsection.18.1.1}{Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.2}{Integration}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.3}{Ordinary Differential Equations}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.4}{Optimization}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.5}{Partial Differential Equations}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.6}{Examples Using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.7}{Examples Using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.8}{Examples Using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.9}{Examples Using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.10}{About the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.11}{Introduction to the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.12}{Example using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.13}{Example using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.14}{Example using the Axiom/NAG Expert System}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.15}{Decision Agents}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.16}{Inference Mechanisms}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.17}{Method Domains}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.18}{Measure Functions}{section.18.1}
\BOOKMARK [2][-]{subsection.18.1.19}{Computational Agents}{section.18.1}
\BOOKMARK [0][-]{chapter.19}{ANNA Algebra Code}{}
\BOOKMARK [0][-]{chapter.20}{Page hierarchy layout}{}
\BOOKMARK [0][-]{chapter.21}{Makefile}{}
