\contentsline {chapter}{\numberline {1}Free\discretionary {-}{}{}Mat Documentation}{1}{chapter.1}
\contentsline {chapter}{\numberline {2}Array Generation and Manipulations}{3}{chapter.2}
\contentsline {section}{\numberline {2.1}A\discretionary {-}{}{}R\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}Y\discretionary {-}{}{}F\discretionary {-}{}{}U\discretionary {-}{}{}N Apply a Function To Elements of an Array}{4}{section.2.1}
\contentsline {subsection}{\numberline {2.1.1}Usage}{4}{subsection.2.1.1}
\contentsline {section}{\numberline {2.2}A\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}I\discretionary {-}{}{}G\discretionary {-}{}{}N Making assignments}{5}{section.2.2}
\contentsline {subsection}{\numberline {2.2.1}Usage}{5}{subsection.2.2.1}
\contentsline {section}{\numberline {2.3}C\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}L Cell Array of Empty Matrices}{5}{section.2.3}
\contentsline {subsection}{\numberline {2.3.1}Usage}{5}{subsection.2.3.1}
\contentsline {subsection}{\numberline {2.3.2}Example}{6}{subsection.2.3.2}
\contentsline {section}{\numberline {2.4}C\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}L\discretionary {-}{}{}F\discretionary {-}{}{}U\discretionary {-}{}{}N Appy a Function To Elements of a Cell Array}{6}{section.2.4}
\contentsline {subsection}{\numberline {2.4.1}Usage}{6}{subsection.2.4.1}
\contentsline {section}{\numberline {2.5}C\discretionary {-}{}{}I\discretionary {-}{}{}R\discretionary {-}{}{}C\discretionary {-}{}{}S\discretionary {-}{}{}H\discretionary {-}{}{}I\discretionary {-}{}{}F\discretionary {-}{}{}T Circularly Shift an Array}{7}{section.2.5}
\contentsline {subsection}{\numberline {2.5.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{7}{subsection.2.5.1}
\contentsline {subsection}{\numberline {2.5.2}Example}{7}{subsection.2.5.2}
\contentsline {section}{\numberline {2.6}C\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}D Condition Number of a Matrix}{9}{section.2.6}
\contentsline {subsection}{\numberline {2.6.1}Usage}{9}{subsection.2.6.1}
\contentsline {subsection}{\numberline {2.6.2}Internals}{10}{subsection.2.6.2}
\contentsline {subsection}{\numberline {2.6.3}Example}{10}{subsection.2.6.3}
\contentsline {section}{\numberline {2.7}D\discretionary {-}{}{}E\discretionary {-}{}{}T Determinant of a Matrix}{10}{section.2.7}
\contentsline {subsection}{\numberline {2.7.1}Usage}{10}{subsection.2.7.1}
\contentsline {subsection}{\numberline {2.7.2}Internals}{11}{subsection.2.7.2}
\contentsline {subsection}{\numberline {2.7.3}Example}{11}{subsection.2.7.3}
\contentsline {section}{\numberline {2.8}D\discretionary {-}{}{}I\discretionary {-}{}{}A\discretionary {-}{}{}G Diagonal Matrix Construction/\discretionary {-}{}{}Extraction}{11}{section.2.8}
\contentsline {subsection}{\numberline {2.8.1}Usage}{11}{subsection.2.8.1}
\contentsline {subsection}{\numberline {2.8.2}Examples}{11}{subsection.2.8.2}
\contentsline {section}{\numberline {2.9}E\discretionary {-}{}{}X\discretionary {-}{}{}P\discretionary {-}{}{}M Matrix Exponential}{12}{section.2.9}
\contentsline {subsection}{\numberline {2.9.1}Usage}{12}{subsection.2.9.1}
\contentsline {subsection}{\numberline {2.9.2}Example}{12}{subsection.2.9.2}
\contentsline {section}{\numberline {2.10}E\discretionary {-}{}{}Y\discretionary {-}{}{}E Identity Matrix}{13}{section.2.10}
\contentsline {subsection}{\numberline {2.10.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{13}{subsection.2.10.1}
\contentsline {subsection}{\numberline {2.10.2}Example}{13}{subsection.2.10.2}
\contentsline {section}{\numberline {2.11}F\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}D Find Non-\/zero Elements of An Array}{13}{section.2.11}
\contentsline {subsection}{\numberline {2.11.1}Usage}{13}{subsection.2.11.1}
\contentsline {subsection}{\numberline {2.11.2}Example}{14}{subsection.2.11.2}
\contentsline {section}{\numberline {2.12}F\discretionary {-}{}{}L\discretionary {-}{}{}I\discretionary {-}{}{}P\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}M Reverse a Matrix Along a Given Dimension}{15}{section.2.12}
\contentsline {subsection}{\numberline {2.12.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{15}{subsection.2.12.1}
\contentsline {subsection}{\numberline {2.12.2}Example}{15}{subsection.2.12.2}
\contentsline {section}{\numberline {2.13}F\discretionary {-}{}{}L\discretionary {-}{}{}I\discretionary {-}{}{}P\discretionary {-}{}{}L\discretionary {-}{}{}R Reverse the Columns of a Matrix}{17}{section.2.13}
\contentsline {subsection}{\numberline {2.13.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{17}{subsection.2.13.1}
\contentsline {subsection}{\numberline {2.13.2}Example}{17}{subsection.2.13.2}
\contentsline {section}{\numberline {2.14}F\discretionary {-}{}{}L\discretionary {-}{}{}I\discretionary {-}{}{}P\discretionary {-}{}{}U\discretionary {-}{}{}D Reverse the Columns of a Matrix}{18}{section.2.14}
\contentsline {subsection}{\numberline {2.14.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{18}{subsection.2.14.1}
\contentsline {subsection}{\numberline {2.14.2}Example}{18}{subsection.2.14.2}
\contentsline {section}{\numberline {2.15}I\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}M\discretionary {-}{}{}U\discretionary {-}{}{}T\discretionary {-}{}{}E Array Inverse Permutation Function}{19}{section.2.15}
\contentsline {subsection}{\numberline {2.15.1}Usage}{19}{subsection.2.15.1}
\contentsline {subsection}{\numberline {2.15.2}Example}{19}{subsection.2.15.2}
\contentsline {section}{\numberline {2.16}I\discretionary {-}{}{}S\discretionary {-}{}{}F\discretionary {-}{}{}L\discretionary {-}{}{}O\discretionary {-}{}{}A\discretionary {-}{}{}T Test for Floating Point Array}{20}{section.2.16}
\contentsline {subsection}{\numberline {2.16.1}Usage}{21}{subsection.2.16.1}
\contentsline {section}{\numberline {2.17}I\discretionary {-}{}{}S\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}T\discretionary {-}{}{}E\discretionary {-}{}{}G\discretionary {-}{}{}E\discretionary {-}{}{}R Test for Integer Array}{21}{section.2.17}
\contentsline {subsection}{\numberline {2.17.1}Usage}{21}{subsection.2.17.1}
\contentsline {section}{\numberline {2.18}L\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}C\discretionary {-}{}{}E Linearly Spaced Vector}{21}{section.2.18}
\contentsline {subsection}{\numberline {2.18.1}Usage}{21}{subsection.2.18.1}
\contentsline {subsection}{\numberline {2.18.2}Examples}{21}{subsection.2.18.2}
\contentsline {section}{\numberline {2.19}L\discretionary {-}{}{}O\discretionary {-}{}{}G\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}C\discretionary {-}{}{}E Logarithmically Spaced Vector}{21}{section.2.19}
\contentsline {subsection}{\numberline {2.19.1}Usage}{22}{subsection.2.19.1}
\contentsline {subsection}{\numberline {2.19.2}Example}{22}{subsection.2.19.2}
\contentsline {section}{\numberline {2.20}M\discretionary {-}{}{}E\discretionary {-}{}{}S\discretionary {-}{}{}H\discretionary {-}{}{}G\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}D Generate Grid Mesh For Plots}{22}{section.2.20}
\contentsline {subsection}{\numberline {2.20.1}Usage}{22}{subsection.2.20.1}
\contentsline {subsection}{\numberline {2.20.2}Example}{22}{subsection.2.20.2}
\contentsline {section}{\numberline {2.21}N\discretionary {-}{}{}A\discretionary {-}{}{}N Not-\/a-\/\discretionary {-}{}{}Number Constant}{23}{section.2.21}
\contentsline {subsection}{\numberline {2.21.1}Usage}{24}{subsection.2.21.1}
\contentsline {subsection}{\numberline {2.21.2}Example}{24}{subsection.2.21.2}
\contentsline {section}{\numberline {2.22}N\discretionary {-}{}{}D\discretionary {-}{}{}G\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}D Generate N-\/\discretionary {-}{}{}Dimensional Grid}{24}{section.2.22}
\contentsline {subsection}{\numberline {2.22.1}Usage}{25}{subsection.2.22.1}
\contentsline {subsection}{\numberline {2.22.2}Example}{25}{subsection.2.22.2}
\contentsline {section}{\numberline {2.23}N\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}Z\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}O\discretionary {-}{}{}S Retrieve Nonzero Matrix Entries}{26}{section.2.23}
\contentsline {subsection}{\numberline {2.23.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{26}{subsection.2.23.1}
\contentsline {subsection}{\numberline {2.23.2}Example}{26}{subsection.2.23.2}
\contentsline {section}{\numberline {2.24}N\discretionary {-}{}{}O\discretionary {-}{}{}R\discretionary {-}{}{}M Norm Calculation}{27}{section.2.24}
\contentsline {subsection}{\numberline {2.24.1}Usage}{27}{subsection.2.24.1}
\contentsline {subsection}{\numberline {2.24.2}Examples}{28}{subsection.2.24.2}
\contentsline {section}{\numberline {2.25}N\discretionary {-}{}{}U\discretionary {-}{}{}M2\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}R Convert Numbers To Strings}{28}{section.2.25}
\contentsline {subsection}{\numberline {2.25.1}Usage}{29}{subsection.2.25.1}
\contentsline {section}{\numberline {2.26}O\discretionary {-}{}{}N\discretionary {-}{}{}E\discretionary {-}{}{}S Array of Ones}{29}{section.2.26}
\contentsline {subsection}{\numberline {2.26.1}Usage}{29}{subsection.2.26.1}
\contentsline {subsection}{\numberline {2.26.2}Example}{29}{subsection.2.26.2}
\contentsline {section}{\numberline {2.27}P\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}M\discretionary {-}{}{}U\discretionary {-}{}{}T\discretionary {-}{}{}E Array Permutation Function}{30}{section.2.27}
\contentsline {subsection}{\numberline {2.27.1}Usage}{30}{subsection.2.27.1}
\contentsline {subsection}{\numberline {2.27.2}Example}{30}{subsection.2.27.2}
\contentsline {section}{\numberline {2.28}P\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}V Moore-\/\discretionary {-}{}{}Penrose Pseudoinverse}{31}{section.2.28}
\contentsline {subsection}{\numberline {2.28.1}Usage}{31}{subsection.2.28.1}
\contentsline {subsection}{\numberline {2.28.2}Internals}{31}{subsection.2.28.2}
\contentsline {subsection}{\numberline {2.28.3}Examples}{32}{subsection.2.28.3}
\contentsline {section}{\numberline {2.29}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}K Calculate the Rank of a Matrix}{33}{section.2.29}
\contentsline {subsection}{\numberline {2.29.1}Usage}{33}{subsection.2.29.1}
\contentsline {subsection}{\numberline {2.29.2}Examples}{33}{subsection.2.29.2}
\contentsline {section}{\numberline {2.30}R\discretionary {-}{}{}C\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}D Reciprocal Condition Number Estimate}{33}{section.2.30}
\contentsline {subsection}{\numberline {2.30.1}Usage}{34}{subsection.2.30.1}
\contentsline {subsection}{\numberline {2.30.2}Example}{34}{subsection.2.30.2}
\contentsline {section}{\numberline {2.31}R\discretionary {-}{}{}E\discretionary {-}{}{}P\discretionary {-}{}{}M\discretionary {-}{}{}A\discretionary {-}{}{}T Array Replication Function}{34}{section.2.31}
\contentsline {subsection}{\numberline {2.31.1}Usage}{34}{subsection.2.31.1}
\contentsline {subsection}{\numberline {2.31.2}Example}{34}{subsection.2.31.2}
\contentsline {section}{\numberline {2.32}R\discretionary {-}{}{}E\discretionary {-}{}{}S\discretionary {-}{}{}H\discretionary {-}{}{}A\discretionary {-}{}{}P\discretionary {-}{}{}E Reshape An Array}{35}{section.2.32}
\contentsline {subsection}{\numberline {2.32.1}Usage}{35}{subsection.2.32.1}
\contentsline {subsection}{\numberline {2.32.2}Example}{36}{subsection.2.32.2}
\contentsline {section}{\numberline {2.33}R\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}F Reduced Row Echelon Form of a Matrix}{36}{section.2.33}
\contentsline {subsection}{\numberline {2.33.1}Usage}{36}{subsection.2.33.1}
\contentsline {section}{\numberline {2.34}S\discretionary {-}{}{}H\discretionary {-}{}{}I\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}M Shift Array Dimensions Function}{37}{section.2.34}
\contentsline {subsection}{\numberline {2.34.1}Usage}{37}{subsection.2.34.1}
\contentsline {subsection}{\numberline {2.34.2}Example}{37}{subsection.2.34.2}
\contentsline {section}{\numberline {2.35}S\discretionary {-}{}{}O\discretionary {-}{}{}R\discretionary {-}{}{}T Sort}{38}{section.2.35}
\contentsline {subsection}{\numberline {2.35.1}Usage}{38}{subsection.2.35.1}
\contentsline {subsection}{\numberline {2.35.2}Example}{39}{subsection.2.35.2}
\contentsline {section}{\numberline {2.36}S\discretionary {-}{}{}Q\discretionary {-}{}{}U\discretionary {-}{}{}E\discretionary {-}{}{}E\discretionary {-}{}{}Z\discretionary {-}{}{}E Remove Singleton Dimensions of an Array}{39}{section.2.36}
\contentsline {subsection}{\numberline {2.36.1}Usage}{40}{subsection.2.36.1}
\contentsline {subsection}{\numberline {2.36.2}Example}{40}{subsection.2.36.2}
\contentsline {section}{\numberline {2.37}S\discretionary {-}{}{}U\discretionary {-}{}{}B\discretionary {-}{}{}S\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}F Array Dereferencing}{40}{section.2.37}
\contentsline {subsection}{\numberline {2.37.1}Usage}{40}{subsection.2.37.1}
\contentsline {section}{\numberline {2.38}T\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}C\discretionary {-}{}{}E Sum Diagonal Elements of an Array}{40}{section.2.38}
\contentsline {subsection}{\numberline {2.38.1}Usage}{41}{subsection.2.38.1}
\contentsline {section}{\numberline {2.39}T\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}O\discretionary {-}{}{}S\discretionary {-}{}{}E Matrix Transpose}{41}{section.2.39}
\contentsline {subsection}{\numberline {2.39.1}Usage}{41}{subsection.2.39.1}
\contentsline {subsection}{\numberline {2.39.2}Example}{41}{subsection.2.39.2}
\contentsline {section}{\numberline {2.40}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}L Lower Triangular Matrix Function}{41}{section.2.40}
\contentsline {subsection}{\numberline {2.40.1}Usage}{41}{subsection.2.40.1}
\contentsline {section}{\numberline {2.41}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}U Upper Triangular Matrix Function}{42}{section.2.41}
\contentsline {subsection}{\numberline {2.41.1}Usage}{42}{subsection.2.41.1}
\contentsline {section}{\numberline {2.42}U\discretionary {-}{}{}N\discretionary {-}{}{}I\discretionary {-}{}{}Q\discretionary {-}{}{}U\discretionary {-}{}{}E Unique}{42}{section.2.42}
\contentsline {subsection}{\numberline {2.42.1}Usage}{42}{subsection.2.42.1}
\contentsline {subsection}{\numberline {2.42.2}Example}{42}{subsection.2.42.2}
\contentsline {section}{\numberline {2.43}X\discretionary {-}{}{}N\discretionary {-}{}{}R\discretionary {-}{}{}M2 B\discretionary {-}{}{}L\discretionary {-}{}{}A\discretionary {-}{}{}S Norm Calculation}{45}{section.2.43}
\contentsline {subsection}{\numberline {2.43.1}Usage}{45}{subsection.2.43.1}
\contentsline {section}{\numberline {2.44}Z\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}O\discretionary {-}{}{}S Array of Zeros}{45}{section.2.44}
\contentsline {subsection}{\numberline {2.44.1}Usage}{45}{subsection.2.44.1}
\contentsline {subsection}{\numberline {2.44.2}Example}{45}{subsection.2.44.2}
\contentsline {chapter}{\numberline {3}Bitwise Operations}{47}{chapter.3}
\contentsline {section}{\numberline {3.1}B\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D Bitwise Boolean And Operation}{47}{section.3.1}
\contentsline {subsection}{\numberline {3.1.1}Usage}{47}{subsection.3.1.1}
\contentsline {subsection}{\numberline {3.1.2}Example}{47}{subsection.3.1.2}
\contentsline {section}{\numberline {3.2}B\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}C\discretionary {-}{}{}M\discretionary {-}{}{}P Bitwise Boolean Complement Operation}{47}{section.3.2}
\contentsline {subsection}{\numberline {3.2.1}Usage}{48}{subsection.3.2.1}
\contentsline {subsection}{\numberline {3.2.2}Example}{48}{subsection.3.2.2}
\contentsline {section}{\numberline {3.3}B\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}O\discretionary {-}{}{}R Bitwise Boolean Or Operation}{48}{section.3.3}
\contentsline {subsection}{\numberline {3.3.1}Usage}{48}{subsection.3.3.1}
\contentsline {subsection}{\numberline {3.3.2}Example}{48}{subsection.3.3.2}
\contentsline {section}{\numberline {3.4}B\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}X\discretionary {-}{}{}O\discretionary {-}{}{}R Bitwise Boolean Exclusive-\/\discretionary {-}{}{}Or (X\discretionary {-}{}{}O\discretionary {-}{}{}R) Operation}{48}{section.3.4}
\contentsline {subsection}{\numberline {3.4.1}Usage}{49}{subsection.3.4.1}
\contentsline {subsection}{\numberline {3.4.2}Example}{49}{subsection.3.4.2}
\contentsline {chapter}{\numberline {4}Object Oriented Programming}{51}{chapter.4}
\contentsline {section}{\numberline {4.1}A\discretionary {-}{}{}N\discretionary {-}{}{}D Overloaded Logical And Operator}{52}{section.4.1}
\contentsline {subsection}{\numberline {4.1.1}Usage}{52}{subsection.4.1.1}
\contentsline {section}{\numberline {4.2}C\discretionary {-}{}{}A\discretionary {-}{}{}T Concatenation of Arrays}{52}{section.4.2}
\contentsline {subsection}{\numberline {4.2.1}Usage}{52}{subsection.4.2.1}
\contentsline {section}{\numberline {4.3}C\discretionary {-}{}{}L\discretionary {-}{}{}A\discretionary {-}{}{}S\discretionary {-}{}{}S Class Support Function}{52}{section.4.3}
\contentsline {subsection}{\numberline {4.3.1}Usage}{52}{subsection.4.3.1}
\contentsline {section}{\numberline {4.4}C\discretionary {-}{}{}O\discretionary {-}{}{}L\discretionary {-}{}{}O\discretionary {-}{}{}N Overloaded Colon Operator}{53}{section.4.4}
\contentsline {subsection}{\numberline {4.4.1}Usage}{53}{subsection.4.4.1}
\contentsline {section}{\numberline {4.5}C\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}U\discretionary {-}{}{}C\discretionary {-}{}{}T\discretionary {-}{}{}O\discretionary {-}{}{}R\discretionary {-}{}{}S Class Constructors}{53}{section.4.5}
\contentsline {subsection}{\numberline {4.5.1}Usage}{53}{subsection.4.5.1}
\contentsline {section}{\numberline {4.6}C\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}O\discretionary {-}{}{}S\discretionary {-}{}{}E Overloaded Conjugate Transpose Operator}{54}{section.4.6}
\contentsline {subsection}{\numberline {4.6.1}Usage}{54}{subsection.4.6.1}
\contentsline {section}{\numberline {4.7}E\discretionary {-}{}{}Q Overloaded Equals Comparison Operator}{54}{section.4.7}
\contentsline {subsection}{\numberline {4.7.1}Usage}{54}{subsection.4.7.1}
\contentsline {section}{\numberline {4.8}G\discretionary {-}{}{}E Overloaded Greater-\/\discretionary {-}{}{}Than-\/\discretionary {-}{}{}Equals Comparison Operator}{54}{section.4.8}
\contentsline {subsection}{\numberline {4.8.1}Usage}{54}{subsection.4.8.1}
\contentsline {section}{\numberline {4.9}G\discretionary {-}{}{}T Overloaded Greater Than Comparison Operator}{54}{section.4.9}
\contentsline {subsection}{\numberline {4.9.1}Usage}{55}{subsection.4.9.1}
\contentsline {section}{\numberline {4.10}H\discretionary {-}{}{}O\discretionary {-}{}{}R\discretionary {-}{}{}Z\discretionary {-}{}{}C\discretionary {-}{}{}A\discretionary {-}{}{}T Overloaded Horizontal Concatenation}{55}{section.4.10}
\contentsline {subsection}{\numberline {4.10.1}Usage}{55}{subsection.4.10.1}
\contentsline {section}{\numberline {4.11}L\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}V\discretionary {-}{}{}I\discretionary {-}{}{}D\discretionary {-}{}{}E Overloaded Left Divide Operator}{55}{section.4.11}
\contentsline {subsection}{\numberline {4.11.1}Usage}{55}{subsection.4.11.1}
\contentsline {section}{\numberline {4.12}L\discretionary {-}{}{}E Overloaded Less-\/\discretionary {-}{}{}Than-\/\discretionary {-}{}{}Equals Comparison Operator}{55}{section.4.12}
\contentsline {subsection}{\numberline {4.12.1}Usage}{55}{subsection.4.12.1}
\contentsline {section}{\numberline {4.13}L\discretionary {-}{}{}T Overloaded Less Than Comparison Operator}{56}{section.4.13}
\contentsline {subsection}{\numberline {4.13.1}Usage}{56}{subsection.4.13.1}
\contentsline {section}{\numberline {4.14}M\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}U\discretionary {-}{}{}S Overloaded Addition Operator}{56}{section.4.14}
\contentsline {subsection}{\numberline {4.14.1}Usage}{56}{subsection.4.14.1}
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\contentsline {subsection}{\numberline {8.26.1}Usage}{111}{subsection.8.26.1}
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\contentsline {subsection}{\numberline {8.27.1}Usage}{112}{subsection.8.27.1}
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\contentsline {subsection}{\numberline {8.27.3}Example}{112}{subsection.8.27.3}
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\contentsline {subsection}{\numberline {9.1.1}Usage}{115}{subsection.9.1.1}
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\contentsline {subsection}{\numberline {9.7.1}Usage}{117}{subsection.9.7.1}
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\contentsline {subsection}{\numberline {9.9.1}Usage}{118}{subsection.9.9.1}
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\contentsline {subsection}{\numberline {9.10.1}Usage}{119}{subsection.9.10.1}
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\contentsline {subsection}{\numberline {9.11.1}Usage}{119}{subsection.9.11.1}
\contentsline {subsection}{\numberline {9.11.2}Example}{121}{subsection.9.11.2}
\contentsline {section}{\numberline {9.12}L\discretionary {-}{}{}O\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}L\discretionary {-}{}{}I\discretionary {-}{}{}B Load Library Function}{122}{section.9.12}
\contentsline {subsection}{\numberline {9.12.1}Usage}{122}{subsection.9.12.1}
\contentsline {chapter}{\numberline {10}Flow Control}{123}{chapter.10}
\contentsline {section}{\numberline {10.1}B\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}K Exit Execution In Loop}{123}{section.10.1}
\contentsline {subsection}{\numberline {10.1.1}Usage}{123}{subsection.10.1.1}
\contentsline {subsection}{\numberline {10.1.2}Example}{124}{subsection.10.1.2}
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\contentsline {subsection}{\numberline {10.2.1}Usage}{124}{subsection.10.2.1}
\contentsline {subsection}{\numberline {10.2.2}Example}{124}{subsection.10.2.2}
\contentsline {section}{\numberline {10.3}E\discretionary {-}{}{}R\discretionary {-}{}{}R\discretionary {-}{}{}O\discretionary {-}{}{}R Causes an Error Condition Raised}{125}{section.10.3}
\contentsline {subsection}{\numberline {10.3.1}Usage}{125}{subsection.10.3.1}
\contentsline {subsection}{\numberline {10.3.2}Example}{125}{subsection.10.3.2}
\contentsline {section}{\numberline {10.4}F\discretionary {-}{}{}O\discretionary {-}{}{}R For Loop}{126}{section.10.4}
\contentsline {subsection}{\numberline {10.4.1}Usage}{126}{subsection.10.4.1}
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\contentsline {section}{\numberline {10.5}I\discretionary {-}{}{}F-\/\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}S\discretionary {-}{}{}E\discretionary {-}{}{}I\discretionary {-}{}{}F-\/\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}S\discretionary {-}{}{}E Conditional Statements}{126}{section.10.5}
\contentsline {subsection}{\numberline {10.5.1}Usage}{127}{subsection.10.5.1}
\contentsline {subsection}{\numberline {10.5.2}Examples}{127}{subsection.10.5.2}
\contentsline {section}{\numberline {10.6}K\discretionary {-}{}{}E\discretionary {-}{}{}Y\discretionary {-}{}{}B\discretionary {-}{}{}O\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}D Initiate Interactive Debug Session}{127}{section.10.6}
\contentsline {subsection}{\numberline {10.6.1}Usage}{127}{subsection.10.6.1}
\contentsline {subsection}{\numberline {10.6.2}Example}{128}{subsection.10.6.2}
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\contentsline {subsection}{\numberline {10.7.1}Usage}{129}{subsection.10.7.1}
\contentsline {subsection}{\numberline {10.7.2}Example}{129}{subsection.10.7.2}
\contentsline {section}{\numberline {10.8}R\discretionary {-}{}{}E\discretionary {-}{}{}T\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}L Return From All Keyboard Sessions}{129}{section.10.8}
\contentsline {subsection}{\numberline {10.8.1}Usage}{129}{subsection.10.8.1}
\contentsline {subsection}{\numberline {10.8.2}Example}{130}{subsection.10.8.2}
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\contentsline {subsection}{\numberline {10.9.1}Usage}{130}{subsection.10.9.1}
\contentsline {subsection}{\numberline {10.9.2}Example}{130}{subsection.10.9.2}
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\contentsline {subsection}{\numberline {10.10.1}Usage}{131}{subsection.10.10.1}
\contentsline {subsection}{\numberline {10.10.2}Examples}{132}{subsection.10.10.2}
\contentsline {section}{\numberline {10.11}T\discretionary {-}{}{}R\discretionary {-}{}{}Y-\/\discretionary {-}{}{}C\discretionary {-}{}{}A\discretionary {-}{}{}T\discretionary {-}{}{}C\discretionary {-}{}{}H Try and Catch Statement}{132}{section.10.11}
\contentsline {subsection}{\numberline {10.11.1}Usage}{132}{subsection.10.11.1}
\contentsline {subsection}{\numberline {10.11.2}Examples}{133}{subsection.10.11.2}
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\contentsline {subsection}{\numberline {10.12.1}Usage}{133}{subsection.10.12.1}
\contentsline {section}{\numberline {10.13}W\discretionary {-}{}{}H\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E While Loop}{133}{section.10.13}
\contentsline {subsection}{\numberline {10.13.1}Usage}{134}{subsection.10.13.1}
\contentsline {subsection}{\numberline {10.13.2}Examples}{134}{subsection.10.13.2}
\contentsline {chapter}{\numberline {11}Free\discretionary {-}{}{}Mat Functions}{135}{chapter.11}
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\contentsline {subsection}{\numberline {11.1.1}Usage}{136}{subsection.11.1.1}
\contentsline {section}{\numberline {11.2}A\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}I\discretionary {-}{}{}G\discretionary {-}{}{}N\discretionary {-}{}{}I\discretionary {-}{}{}N Assign Variable in Workspace}{136}{section.11.2}
\contentsline {subsection}{\numberline {11.2.1}Usage}{137}{subsection.11.2.1}
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\contentsline {subsection}{\numberline {11.3.1}Usage}{137}{subsection.11.3.1}
\contentsline {section}{\numberline {11.4}B\discretionary {-}{}{}U\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}T\discretionary {-}{}{}I\discretionary {-}{}{}N Evaulate Builtin Function}{138}{section.11.4}
\contentsline {subsection}{\numberline {11.4.1}Usage}{138}{subsection.11.4.1}
\contentsline {section}{\numberline {11.5}C\discretionary {-}{}{}L\discretionary {-}{}{}C Clear Dislplay}{138}{section.11.5}
\contentsline {subsection}{\numberline {11.5.1}Usage}{138}{subsection.11.5.1}
\contentsline {section}{\numberline {11.6}C\discretionary {-}{}{}L\discretionary {-}{}{}O\discretionary {-}{}{}C\discretionary {-}{}{}K Get Current Time}{138}{section.11.6}
\contentsline {subsection}{\numberline {11.6.1}Usage}{138}{subsection.11.6.1}
\contentsline {subsection}{\numberline {11.6.2}Example}{139}{subsection.11.6.2}
\contentsline {section}{\numberline {11.7}C\discretionary {-}{}{}L\discretionary {-}{}{}O\discretionary {-}{}{}C\discretionary {-}{}{}K\discretionary {-}{}{}T\discretionary {-}{}{}O\discretionary {-}{}{}T\discretionary {-}{}{}I\discretionary {-}{}{}M\discretionary {-}{}{}E Convert Clock Vector to Epoch Time}{139}{section.11.7}
\contentsline {subsection}{\numberline {11.7.1}Usage}{139}{subsection.11.7.1}
\contentsline {subsection}{\numberline {11.7.2}Example}{139}{subsection.11.7.2}
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\contentsline {subsection}{\numberline {11.8.1}Usage}{140}{subsection.11.8.1}
\contentsline {section}{\numberline {11.9}D\discretionary {-}{}{}I\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}Y Create a Log File of Console}{140}{section.11.9}
\contentsline {subsection}{\numberline {11.9.1}Usage}{140}{subsection.11.9.1}
\contentsline {section}{\numberline {11.10}D\discretionary {-}{}{}O\discretionary {-}{}{}C\discretionary {-}{}{}L\discretionary {-}{}{}I Start a Command Line Interface}{140}{section.11.10}
\contentsline {subsection}{\numberline {11.10.1}Usage}{141}{subsection.11.10.1}
\contentsline {section}{\numberline {11.11}E\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}T Open Editor Window}{141}{section.11.11}
\contentsline {subsection}{\numberline {11.11.1}Usage}{141}{subsection.11.11.1}
\contentsline {section}{\numberline {11.12}E\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}O\discretionary {-}{}{}R Open Editor Window}{141}{section.11.12}
\contentsline {subsection}{\numberline {11.12.1}Usage}{141}{subsection.11.12.1}
\contentsline {section}{\numberline {11.13}E\discretionary {-}{}{}R\discretionary {-}{}{}R\discretionary {-}{}{}O\discretionary {-}{}{}R\discretionary {-}{}{}C\discretionary {-}{}{}O\discretionary {-}{}{}U\discretionary {-}{}{}N\discretionary {-}{}{}T Retrieve the Error Counter for the Interpreter}{141}{section.11.13}
\contentsline {subsection}{\numberline {11.13.1}Usage}{141}{subsection.11.13.1}
\contentsline {section}{\numberline {11.14}E\discretionary {-}{}{}T\discretionary {-}{}{}I\discretionary {-}{}{}M\discretionary {-}{}{}E Elapsed Time Function}{141}{section.11.14}
\contentsline {subsection}{\numberline {11.14.1}Usage}{141}{subsection.11.14.1}
\contentsline {subsection}{\numberline {11.14.2}Example}{142}{subsection.11.14.2}
\contentsline {section}{\numberline {11.15}E\discretionary {-}{}{}V\discretionary {-}{}{}A\discretionary {-}{}{}L Evaluate a String}{142}{section.11.15}
\contentsline {subsection}{\numberline {11.15.1}Usage}{142}{subsection.11.15.1}
\contentsline {subsection}{\numberline {11.15.2}Example}{142}{subsection.11.15.2}
\contentsline {section}{\numberline {11.16}E\discretionary {-}{}{}V\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}I\discretionary {-}{}{}N Evaluate a String in Workspace}{143}{section.11.16}
\contentsline {subsection}{\numberline {11.16.1}Usage}{143}{subsection.11.16.1}
\contentsline {section}{\numberline {11.17}E\discretionary {-}{}{}X\discretionary {-}{}{}I\discretionary {-}{}{}T Exit Program}{143}{section.11.17}
\contentsline {subsection}{\numberline {11.17.1}Usage}{143}{subsection.11.17.1}
\contentsline {section}{\numberline {11.18}F\discretionary {-}{}{}E\discretionary {-}{}{}V\discretionary {-}{}{}A\discretionary {-}{}{}L Evaluate a Function}{144}{section.11.18}
\contentsline {subsection}{\numberline {11.18.1}Usage}{144}{subsection.11.18.1}
\contentsline {subsection}{\numberline {11.18.2}Example}{144}{subsection.11.18.2}
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\contentsline {subsection}{\numberline {11.19.1}Usage}{145}{subsection.11.19.1}
\contentsline {section}{\numberline {11.20}H\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}P Help}{145}{section.11.20}
\contentsline {subsection}{\numberline {11.20.1}Usage}{145}{subsection.11.20.1}
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\contentsline {subsection}{\numberline {11.21.1}Usage}{145}{subsection.11.21.1}
\contentsline {section}{\numberline {11.22}J\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}C\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}O\discretionary {-}{}{}L Control the Just In Time Compiler}{145}{section.11.22}
\contentsline {subsection}{\numberline {11.22.1}Usage}{145}{subsection.11.22.1}
\contentsline {section}{\numberline {11.23}M\discretionary {-}{}{}F\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}N\discretionary {-}{}{}A\discretionary {-}{}{}M\discretionary {-}{}{}E Name of Current Function}{145}{section.11.23}
\contentsline {subsection}{\numberline {11.23.1}Usage}{146}{subsection.11.23.1}
\contentsline {section}{\numberline {11.24}P\discretionary {-}{}{}A\discretionary {-}{}{}T\discretionary {-}{}{}H Get or Set Free\discretionary {-}{}{}Mat Path}{146}{section.11.24}
\contentsline {subsection}{\numberline {11.24.1}Usage}{146}{subsection.11.24.1}
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\contentsline {subsection}{\numberline {11.25.1}Usage}{146}{subsection.11.25.1}
\contentsline {section}{\numberline {11.26}P\discretionary {-}{}{}A\discretionary {-}{}{}T\discretionary {-}{}{}H\discretionary {-}{}{}T\discretionary {-}{}{}O\discretionary {-}{}{}O\discretionary {-}{}{}L Open Path Setting Tool}{146}{section.11.26}
\contentsline {subsection}{\numberline {11.26.1}Usage}{146}{subsection.11.26.1}
\contentsline {section}{\numberline {11.27}P\discretionary {-}{}{}C\discretionary {-}{}{}O\discretionary {-}{}{}D\discretionary {-}{}{}E Convert a Script or Function to P-\/\discretionary {-}{}{}Code}{147}{section.11.27}
\contentsline {subsection}{\numberline {11.27.1}Usage}{147}{subsection.11.27.1}
\contentsline {section}{\numberline {11.28}P\discretionary {-}{}{}R\discretionary {-}{}{}O\discretionary {-}{}{}F\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}R Control Profiling}{147}{section.11.28}
\contentsline {subsection}{\numberline {11.28.1}Usage}{147}{subsection.11.28.1}
\contentsline {section}{\numberline {11.29}Q\discretionary {-}{}{}U\discretionary {-}{}{}I\discretionary {-}{}{}E\discretionary {-}{}{}T Control the Verbosity of the Interpreter}{147}{section.11.29}
\contentsline {subsection}{\numberline {11.29.1}Usage}{147}{subsection.11.29.1}
\contentsline {section}{\numberline {11.30}Q\discretionary {-}{}{}U\discretionary {-}{}{}I\discretionary {-}{}{}T Quit Program}{148}{section.11.30}
\contentsline {subsection}{\numberline {11.30.1}Usage}{148}{subsection.11.30.1}
\contentsline {section}{\numberline {11.31}R\discretionary {-}{}{}E\discretionary {-}{}{}H\discretionary {-}{}{}A\discretionary {-}{}{}S\discretionary {-}{}{}H Rehash Directory Caches}{148}{section.11.31}
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\contentsline {section}{\numberline {11.32}R\discretionary {-}{}{}E\discretionary {-}{}{}S\discretionary {-}{}{}C\discretionary {-}{}{}A\discretionary {-}{}{}N Rescan M Files for Changes}{148}{section.11.32}
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\contentsline {subsection}{\numberline {11.39.1}Usage}{151}{subsection.11.39.1}
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\contentsline {subsection}{\numberline {11.42.1}Usage}{152}{subsection.11.42.1}
\contentsline {subsection}{\numberline {11.42.2}Example}{152}{subsection.11.42.2}
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\contentsline {subsection}{\numberline {12.1.1}Usage}{153}{subsection.12.1.1}
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\contentsline {subsection}{\numberline {12.2.1}Usage}{154}{subsection.12.2.1}
\contentsline {subsection}{\numberline {12.2.2}Example}{154}{subsection.12.2.2}
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\contentsline {subsection}{\numberline {13.1.1}Usage}{157}{subsection.13.1.1}
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\contentsline {subsection}{\numberline {13.2.1}Usage}{158}{subsection.13.2.1}
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\contentsline {subsection}{\numberline {13.3.1}Usage}{159}{subsection.13.3.1}
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\contentsline {subsection}{\numberline {13.4.1}Usage}{161}{subsection.13.4.1}
\contentsline {subsection}{\numberline {13.4.2}Example}{162}{subsection.13.4.2}
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\contentsline {subsection}{\numberline {13.5.1}Usage}{163}{subsection.13.5.1}
\contentsline {subsection}{\numberline {13.5.2}Example}{163}{subsection.13.5.2}
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\contentsline {subsection}{\numberline {13.6.1}Usage}{164}{subsection.13.6.1}
\contentsline {subsection}{\numberline {13.6.2}Example}{164}{subsection.13.6.2}
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\contentsline {subsection}{\numberline {13.8.1}Usage}{166}{subsection.13.8.1}
\contentsline {subsection}{\numberline {13.8.2}Example}{166}{subsection.13.8.2}
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\contentsline {subsection}{\numberline {13.9.1}Usage}{166}{subsection.13.9.1}
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\contentsline {subsection}{\numberline {13.10.1}Usage}{167}{subsection.13.10.1}
\contentsline {subsection}{\numberline {13.10.2}Example}{167}{subsection.13.10.2}
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\contentsline {subsection}{\numberline {13.11.1}Usage}{168}{subsection.13.11.1}
\contentsline {subsection}{\numberline {13.11.2}Example}{168}{subsection.13.11.2}
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\contentsline {subsection}{\numberline {15.10.2}Internals}{186}{subsection.15.10.2}
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\contentsline {subsection}{\numberline {15.13.2}Example}{199}{subsection.15.13.2}
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\contentsline {subsection}{\numberline {16.16.1}Usage}{300}{subsection.16.16.1}
\contentsline {section}{\numberline {16.17}I\discretionary {-}{}{}S\discretionary {-}{}{}M\discretionary {-}{}{}A\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}X Test For a 2\discretionary {-}{}{}D Matrix}{301}{section.16.17}
\contentsline {subsection}{\numberline {16.17.1}Usage}{301}{subsection.16.17.1}
\contentsline {section}{\numberline {16.18}I\discretionary {-}{}{}S\discretionary {-}{}{}N\discretionary {-}{}{}A\discretionary {-}{}{}N Test for Not-\/a-\/\discretionary {-}{}{}Numbers}{301}{section.16.18}
\contentsline {subsection}{\numberline {16.18.1}Usage}{301}{subsection.16.18.1}
\contentsline {subsection}{\numberline {16.18.2}Example}{301}{subsection.16.18.2}
\contentsline {section}{\numberline {16.19}I\discretionary {-}{}{}S\discretionary {-}{}{}N\discretionary {-}{}{}U\discretionary {-}{}{}M\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}C Test for Numeric Array}{301}{section.16.19}
\contentsline {subsection}{\numberline {16.19.1}Usage}{301}{subsection.16.19.1}
\contentsline {section}{\numberline {16.20}I\discretionary {-}{}{}S\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}L Test For Real Array}{302}{section.16.20}
\contentsline {subsection}{\numberline {16.20.1}Usage}{302}{subsection.16.20.1}
\contentsline {section}{\numberline {16.21}I\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}M\discretionary {-}{}{}E Test If Two Arrays Are Identical}{302}{section.16.21}
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\contentsline {subsection}{\numberline {16.22.1}Usage}{302}{subsection.16.22.1}
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\contentsline {subsection}{\numberline {16.23.1}Usage}{302}{subsection.16.23.1}
\contentsline {subsection}{\numberline {16.23.2}Example}{303}{subsection.16.23.2}
\contentsline {section}{\numberline {16.24}I\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}S\discretionary {-}{}{}E Test for Sparse Matrix}{303}{section.16.24}
\contentsline {subsection}{\numberline {16.24.1}Usage}{303}{subsection.16.24.1}
\contentsline {subsection}{\numberline {16.24.2}Example}{303}{subsection.16.24.2}
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\contentsline {subsection}{\numberline {16.25.1}Usage}{304}{subsection.16.25.1}
\contentsline {section}{\numberline {16.26}I\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}R Test For Character Array (string)}{304}{section.16.26}
\contentsline {subsection}{\numberline {16.26.1}Usage}{304}{subsection.16.26.1}
\contentsline {section}{\numberline {16.27}I\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}U\discretionary {-}{}{}C\discretionary {-}{}{}T Test For Structure Array}{304}{section.16.27}
\contentsline {subsection}{\numberline {16.27.1}Usage}{304}{subsection.16.27.1}
\contentsline {section}{\numberline {16.28}I\discretionary {-}{}{}S\discretionary {-}{}{}V\discretionary {-}{}{}E\discretionary {-}{}{}C\discretionary {-}{}{}T\discretionary {-}{}{}O\discretionary {-}{}{}R Test For a Vector}{304}{section.16.28}
\contentsline {subsection}{\numberline {16.28.1}Usage}{305}{subsection.16.28.1}
\contentsline {section}{\numberline {16.29}L\discretionary {-}{}{}E\discretionary {-}{}{}N\discretionary {-}{}{}G\discretionary {-}{}{}T\discretionary {-}{}{}H Length of an Array}{305}{section.16.29}
\contentsline {subsection}{\numberline {16.29.1}Usage}{305}{subsection.16.29.1}
\contentsline {subsection}{\numberline {16.29.2}Example}{305}{subsection.16.29.2}
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\contentsline {subsection}{\numberline {16.30.1}Usage}{305}{subsection.16.30.1}
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\contentsline {subsection}{\numberline {16.31.1}Usage}{306}{subsection.16.31.1}
\contentsline {section}{\numberline {16.32}N\discretionary {-}{}{}N\discretionary {-}{}{}Z Number of Nonzeros}{306}{section.16.32}
\contentsline {subsection}{\numberline {16.32.1}Usage}{306}{subsection.16.32.1}
\contentsline {subsection}{\numberline {16.32.2}Example}{306}{subsection.16.32.2}
\contentsline {section}{\numberline {16.33}N\discretionary {-}{}{}U\discretionary {-}{}{}M\discretionary {-}{}{}E\discretionary {-}{}{}L Number of Elements in an Array}{306}{section.16.33}
\contentsline {subsection}{\numberline {16.33.1}Usage}{306}{subsection.16.33.1}
\contentsline {subsection}{\numberline {16.33.2}Example}{307}{subsection.16.33.2}
\contentsline {section}{\numberline {16.34}S\discretionary {-}{}{}I\discretionary {-}{}{}Z\discretionary {-}{}{}E Size of a Variable}{307}{section.16.34}
\contentsline {subsection}{\numberline {16.34.1}Usage}{307}{subsection.16.34.1}
\contentsline {subsection}{\numberline {16.34.2}Example}{307}{subsection.16.34.2}
\contentsline {section}{\numberline {16.35}T\discretionary {-}{}{}Y\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}O\discretionary {-}{}{}F Determine the Type of an Argument}{308}{section.16.35}
\contentsline {subsection}{\numberline {16.35.1}Usage}{308}{subsection.16.35.1}
\contentsline {subsection}{\numberline {16.35.2}Example}{308}{subsection.16.35.2}
\contentsline {section}{\numberline {16.36}W\discretionary {-}{}{}H\discretionary {-}{}{}A\discretionary {-}{}{}T List Free\discretionary {-}{}{}Mat Files In Directory}{309}{section.16.36}
\contentsline {subsection}{\numberline {16.36.1}Usage}{309}{subsection.16.36.1}
\contentsline {section}{\numberline {16.37}W\discretionary {-}{}{}H\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}E Get Information on Program Stack}{310}{section.16.37}
\contentsline {subsection}{\numberline {16.37.1}Usage}{310}{subsection.16.37.1}
\contentsline {subsection}{\numberline {16.37.2}Example}{310}{subsection.16.37.2}
\contentsline {section}{\numberline {16.38}W\discretionary {-}{}{}H\discretionary {-}{}{}I\discretionary {-}{}{}C\discretionary {-}{}{}H Get Information on Function}{310}{section.16.38}
\contentsline {subsection}{\numberline {16.38.1}Usage}{311}{subsection.16.38.1}
\contentsline {subsection}{\numberline {16.38.2}Example}{311}{subsection.16.38.2}
\contentsline {section}{\numberline {16.39}W\discretionary {-}{}{}H\discretionary {-}{}{}O Describe Currently Defined Variables}{311}{section.16.39}
\contentsline {subsection}{\numberline {16.39.1}Usage}{311}{subsection.16.39.1}
\contentsline {subsection}{\numberline {16.39.2}Example}{311}{subsection.16.39.2}
\contentsline {section}{\numberline {16.40}W\discretionary {-}{}{}H\discretionary {-}{}{}O\discretionary {-}{}{}S Describe Currently Defined Variables With Memory Usage}{312}{section.16.40}
\contentsline {subsection}{\numberline {16.40.1}Usage}{312}{subsection.16.40.1}
\contentsline {chapter}{\numberline {17}Introduction and Getting Started}{313}{chapter.17}
\contentsline {section}{\numberline {17.1}I\discretionary {-}{}{}N\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}L Installing Free\discretionary {-}{}{}Mat}{313}{section.17.1}
\contentsline {subsection}{\numberline {17.1.1}Instructions}{313}{subsection.17.1.1}
\contentsline {subsection}{\numberline {17.1.2}Linux}{313}{subsection.17.1.2}
\contentsline {subsection}{\numberline {17.1.3}Windows}{314}{subsection.17.1.3}
\contentsline {subsection}{\numberline {17.1.4}O\discretionary {-}{}{}S X}{314}{subsection.17.1.4}
\contentsline {subsection}{\numberline {17.1.5}Code}{314}{subsection.17.1.5}
\contentsline {chapter}{\numberline {18}Input/\discretionary {-}{}{}Ouput Functions}{315}{chapter.18}
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\contentsline {subsection}{\numberline {18.1.1}Usage}{316}{subsection.18.1.1}
\contentsline {subsection}{\numberline {18.1.2}Example}{316}{subsection.18.1.2}
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\contentsline {subsection}{\numberline {18.2.1}Usage}{317}{subsection.18.2.1}
\contentsline {subsection}{\numberline {18.2.2}Example}{317}{subsection.18.2.2}
\contentsline {section}{\numberline {18.3}D\discretionary {-}{}{}I\discretionary {-}{}{}S\discretionary {-}{}{}P Display a Variable or Expression}{318}{section.18.3}
\contentsline {subsection}{\numberline {18.3.1}Usage}{318}{subsection.18.3.1}
\contentsline {subsection}{\numberline {18.3.2}Example}{318}{subsection.18.3.2}
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\contentsline {subsection}{\numberline {18.4.1}Usage}{319}{subsection.18.4.1}
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\contentsline {subsection}{\numberline {18.5.1}Usage}{319}{subsection.18.5.1}
\contentsline {subsection}{\numberline {18.5.2}Example}{319}{subsection.18.5.2}
\contentsline {section}{\numberline {18.6}F\discretionary {-}{}{}E\discretionary {-}{}{}O\discretionary {-}{}{}F End Of File Function}{320}{section.18.6}
\contentsline {subsection}{\numberline {18.6.1}Usage}{320}{subsection.18.6.1}
\contentsline {subsection}{\numberline {18.6.2}Example}{320}{subsection.18.6.2}
\contentsline {section}{\numberline {18.7}F\discretionary {-}{}{}F\discretionary {-}{}{}L\discretionary {-}{}{}U\discretionary {-}{}{}S\discretionary {-}{}{}H Force File Flush}{320}{section.18.7}
\contentsline {subsection}{\numberline {18.7.1}Usage}{320}{subsection.18.7.1}
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\contentsline {subsection}{\numberline {18.8.1}Usage}{321}{subsection.18.8.1}
\contentsline {subsection}{\numberline {18.8.2}Example}{321}{subsection.18.8.2}
\contentsline {section}{\numberline {18.9}F\discretionary {-}{}{}O\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}N File Open Function}{321}{section.18.9}
\contentsline {subsection}{\numberline {18.9.1}Usage}{321}{subsection.18.9.1}
\contentsline {subsection}{\numberline {18.9.2}Examples}{322}{subsection.18.9.2}
\contentsline {section}{\numberline {18.10}F\discretionary {-}{}{}O\discretionary {-}{}{}R\discretionary {-}{}{}M\discretionary {-}{}{}A\discretionary {-}{}{}T Control the Format of Matrix Display}{323}{section.18.10}
\contentsline {subsection}{\numberline {18.10.1}Usage}{323}{subsection.18.10.1}
\contentsline {subsection}{\numberline {18.10.2}Example}{324}{subsection.18.10.2}
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\contentsline {subsection}{\numberline {18.11.1}Usage}{326}{subsection.18.11.1}
\contentsline {subsection}{\numberline {18.11.2}Examples}{326}{subsection.18.11.2}
\contentsline {section}{\numberline {18.12}F\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D File Read Function}{326}{section.18.12}
\contentsline {subsection}{\numberline {18.12.1}Usage}{326}{subsection.18.12.1}
\contentsline {subsection}{\numberline {18.12.2}Example}{327}{subsection.18.12.2}
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\contentsline {subsection}{\numberline {18.13.1}Usage}{328}{subsection.18.13.1}
\contentsline {section}{\numberline {18.14}F\discretionary {-}{}{}S\discretionary {-}{}{}E\discretionary {-}{}{}E\discretionary {-}{}{}K Seek File To A Given Position}{328}{section.18.14}
\contentsline {subsection}{\numberline {18.14.1}Usage}{328}{subsection.18.14.1}
\contentsline {subsection}{\numberline {18.14.2}Example}{328}{subsection.18.14.2}
\contentsline {section}{\numberline {18.15}F\discretionary {-}{}{}T\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}L File Position Function}{329}{section.18.15}
\contentsline {subsection}{\numberline {18.15.1}Usage}{329}{subsection.18.15.1}
\contentsline {subsection}{\numberline {18.15.2}Example}{329}{subsection.18.15.2}
\contentsline {section}{\numberline {18.16}F\discretionary {-}{}{}W\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}E File Write Function}{329}{section.18.16}
\contentsline {subsection}{\numberline {18.16.1}Usage}{329}{subsection.18.16.1}
\contentsline {subsection}{\numberline {18.16.2}Example}{330}{subsection.18.16.2}
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\contentsline {subsection}{\numberline {18.18.1}Usage}{330}{subsection.18.18.1}
\contentsline {subsection}{\numberline {18.18.2}Example}{331}{subsection.18.18.2}
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\contentsline {subsection}{\numberline {18.19.1}Usage}{331}{subsection.18.19.1}
\contentsline {section}{\numberline {18.20}I\discretionary {-}{}{}M\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D Read Image File To Matrix}{331}{section.18.20}
\contentsline {subsection}{\numberline {18.20.1}Usage}{331}{subsection.18.20.1}
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\contentsline {subsection}{\numberline {18.21.1}Usage}{332}{subsection.18.21.1}
\contentsline {subsection}{\numberline {18.21.2}Example}{332}{subsection.18.21.2}
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\contentsline {subsection}{\numberline {18.22.1}Usage}{332}{subsection.18.22.1}
\contentsline {section}{\numberline {18.23}L\discretionary {-}{}{}O\discretionary {-}{}{}A\discretionary {-}{}{}D Load Variables From A File}{333}{section.18.23}
\contentsline {subsection}{\numberline {18.23.1}Usage}{333}{subsection.18.23.1}
\contentsline {subsection}{\numberline {18.23.2}Example}{333}{subsection.18.23.2}
\contentsline {section}{\numberline {18.24}P\discretionary {-}{}{}A\discretionary {-}{}{}U\discretionary {-}{}{}S\discretionary {-}{}{}E Pause Script Execution}{334}{section.18.24}
\contentsline {subsection}{\numberline {18.24.1}Usage}{334}{subsection.18.24.1}
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\contentsline {subsection}{\numberline {18.25.1}Usage}{335}{subsection.18.25.1}
\contentsline {subsection}{\numberline {18.25.2}of the format string}{335}{subsection.18.25.2}
\contentsline {subsection}{\numberline {18.25.3}conversion specifier}{335}{subsection.18.25.3}
\contentsline {subsection}{\numberline {18.25.4}conversion specifier}{336}{subsection.18.25.4}
\contentsline {subsection}{\numberline {18.25.5}conversion specifier}{336}{subsection.18.25.5}
\contentsline {subsection}{\numberline {18.25.6}conversion specifier}{336}{subsection.18.25.6}
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\contentsline {subsection}{\numberline {18.26.1}Usage}{337}{subsection.18.26.1}
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\contentsline {subsection}{\numberline {18.27.1}Usage}{338}{subsection.18.27.1}
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\contentsline {subsection}{\numberline {18.28.1}Usage}{338}{subsection.18.28.1}
\contentsline {subsection}{\numberline {18.28.2}Example}{339}{subsection.18.28.2}
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\contentsline {subsection}{\numberline {18.29.1}Usage}{339}{subsection.18.29.1}
\contentsline {subsection}{\numberline {18.29.2}Example}{340}{subsection.18.29.2}
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\contentsline {subsection}{\numberline {18.30.1}Usage}{340}{subsection.18.30.1}
\contentsline {subsection}{\numberline {18.30.2}Examples}{340}{subsection.18.30.2}
\contentsline {section}{\numberline {18.31}S\discretionary {-}{}{}S\discretionary {-}{}{}C\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}F Formated String Input Function (C-\/\discretionary {-}{}{}Style)}{340}{section.18.31}
\contentsline {subsection}{\numberline {18.31.1}Usage}{340}{subsection.18.31.1}
\contentsline {section}{\numberline {18.32}S\discretionary {-}{}{}T\discretionary {-}{}{}R2\discretionary {-}{}{}N\discretionary {-}{}{}U\discretionary {-}{}{}M Convert a String to a Number}{341}{section.18.32}
\contentsline {subsection}{\numberline {18.32.1}Usage}{341}{subsection.18.32.1}
\contentsline {section}{\numberline {18.33}T\discretionary {-}{}{}Y\discretionary {-}{}{}P\discretionary {-}{}{}E Type Contents of File or Function}{341}{section.18.33}
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\contentsline {subsection}{\numberline {18.33.2}Example}{341}{subsection.18.33.2}
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\contentsline {subsection}{\numberline {18.34.1}Usage}{342}{subsection.18.34.1}
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\contentsline {subsection}{\numberline {18.35.1}Usage}{342}{subsection.18.35.1}
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\contentsline {subsection}{\numberline {18.36.1}Usage}{342}{subsection.18.36.1}
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\contentsline {subsection}{\numberline {18.37.1}Usage}{343}{subsection.18.37.1}
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\contentsline {subsection}{\numberline {18.38.1}Usage}{343}{subsection.18.38.1}
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\contentsline {subsection}{\numberline {18.39.1}Usage}{344}{subsection.18.39.1}
\contentsline {chapter}{\numberline {19}Mathematical Functions}{345}{chapter.19}
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\contentsline {subsection}{\numberline {19.1.1}Usage}{347}{subsection.19.1.1}
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\contentsline {subsection}{\numberline {19.2.1}Usage}{348}{subsection.19.2.1}
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\contentsline {subsection}{\numberline {19.3.1}Usage}{349}{subsection.19.3.1}
\contentsline {subsection}{\numberline {19.3.2}Internals}{349}{subsection.19.3.2}
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\contentsline {subsection}{\numberline {19.4.1}Usage}{350}{subsection.19.4.1}
\contentsline {subsection}{\numberline {19.4.2}Internals}{351}{subsection.19.4.2}
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\contentsline {subsection}{\numberline {19.5.1}Usage}{352}{subsection.19.5.1}
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\contentsline {subsection}{\numberline {19.6.1}Usage}{353}{subsection.19.6.1}
\contentsline {subsection}{\numberline {19.6.2}Internals}{353}{subsection.19.6.2}
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\contentsline {subsection}{\numberline {19.10.1}Usage}{358}{subsection.19.10.1}
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\contentsline {subsection}{\numberline {19.13.1}Usage}{361}{subsection.19.13.1}
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\contentsline {subsection}{\numberline {19.15.1}Usage}{364}{subsection.19.15.1}
\contentsline {subsection}{\numberline {19.15.2}Examples}{365}{subsection.19.15.2}
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\contentsline {section}{\numberline {19.18}A\discretionary {-}{}{}T\discretionary {-}{}{}A\discretionary {-}{}{}N2 Inverse Trigonometric 4-\/\discretionary {-}{}{}Quadrant Arctangent Function}{368}{section.19.18}
\contentsline {subsection}{\numberline {19.18.1}Usage}{368}{subsection.19.18.1}
\contentsline {subsection}{\numberline {19.18.2}Internals}{369}{subsection.19.18.2}
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\contentsline {subsection}{\numberline {19.19.1}Usage}{371}{subsection.19.19.1}
\contentsline {subsection}{\numberline {19.19.2}Examples}{371}{subsection.19.19.2}
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\contentsline {subsection}{\numberline {19.20.1}Usage}{371}{subsection.19.20.1}
\contentsline {subsection}{\numberline {19.20.2}Internals}{371}{subsection.19.20.2}
\contentsline {subsection}{\numberline {19.20.3}Examples}{371}{subsection.19.20.3}
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\contentsline {subsection}{\numberline {19.21.1}Usage}{372}{subsection.19.21.1}
\contentsline {subsection}{\numberline {19.21.2}Internals}{373}{subsection.19.21.2}
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\contentsline {section}{\numberline {19.22}C\discretionary {-}{}{}O\discretionary {-}{}{}S Trigonometric Cosine Function}{374}{section.19.22}
\contentsline {subsection}{\numberline {19.22.1}Usage}{374}{subsection.19.22.1}
\contentsline {subsection}{\numberline {19.22.2}Internals}{375}{subsection.19.22.2}
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\contentsline {subsection}{\numberline {19.23.1}Usage}{376}{subsection.19.23.1}
\contentsline {subsection}{\numberline {19.23.2}Examples}{377}{subsection.19.23.2}
\contentsline {section}{\numberline {19.24}C\discretionary {-}{}{}O\discretionary {-}{}{}S\discretionary {-}{}{}H Hyperbolic Cosine Function}{377}{section.19.24}
\contentsline {subsection}{\numberline {19.24.1}Usage}{377}{subsection.19.24.1}
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\contentsline {section}{\numberline {19.25}C\discretionary {-}{}{}O\discretionary {-}{}{}T Trigonometric Cotangent Function}{378}{section.19.25}
\contentsline {subsection}{\numberline {19.25.1}Usage}{378}{subsection.19.25.1}
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\contentsline {subsection}{\numberline {19.30.1}Usage}{384}{subsection.19.30.1}
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\contentsline {subsection}{\numberline {19.34.1}Usage}{388}{subsection.19.34.1}
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\contentsline {subsection}{\numberline {19.35.1}Usage}{390}{subsection.19.35.1}
\contentsline {subsection}{\numberline {19.35.2}Example}{391}{subsection.19.35.2}
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\contentsline {subsection}{\numberline {19.36.1}Usage}{392}{subsection.19.36.1}
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\contentsline {section}{\numberline {19.37}E\discretionary {-}{}{}X\discretionary {-}{}{}P\discretionary {-}{}{}M1 Exponential Minus One Function}{394}{section.19.37}
\contentsline {subsection}{\numberline {19.37.1}Usage}{394}{subsection.19.37.1}
\contentsline {section}{\numberline {19.38}F\discretionary {-}{}{}I\discretionary {-}{}{}X Round Towards Zero}{395}{section.19.38}
\contentsline {subsection}{\numberline {19.38.1}Usage}{395}{subsection.19.38.1}
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\contentsline {section}{\numberline {19.39}G\discretionary {-}{}{}A\discretionary {-}{}{}M\discretionary {-}{}{}M\discretionary {-}{}{}A Gamma Function}{395}{section.19.39}
\contentsline {subsection}{\numberline {19.39.1}Usage}{395}{subsection.19.39.1}
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\contentsline {subsection}{\numberline {19.40.1}Usage}{397}{subsection.19.40.1}
\contentsline {subsection}{\numberline {19.40.2}Example}{398}{subsection.19.40.2}
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\contentsline {subsection}{\numberline {19.41.1}Usage}{399}{subsection.19.41.1}
\contentsline {subsection}{\numberline {19.41.2}Example}{399}{subsection.19.41.2}
\contentsline {section}{\numberline {19.42}L\discretionary {-}{}{}E\discretionary {-}{}{}G\discretionary {-}{}{}E\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}R\discretionary {-}{}{}E Associated Legendre Polynomial}{399}{section.19.42}
\contentsline {subsection}{\numberline {19.42.1}Usage}{399}{subsection.19.42.1}
\contentsline {subsection}{\numberline {19.42.2}Example}{399}{subsection.19.42.2}
\contentsline {section}{\numberline {19.43}L\discretionary {-}{}{}O\discretionary {-}{}{}G Natural Logarithm Function}{400}{section.19.43}
\contentsline {subsection}{\numberline {19.43.1}Usage}{400}{subsection.19.43.1}
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\contentsline {section}{\numberline {19.44}L\discretionary {-}{}{}O\discretionary {-}{}{}G10 Base-\/10 Logarithm Function}{402}{section.19.44}
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\contentsline {section}{\numberline {19.45}L\discretionary {-}{}{}O\discretionary {-}{}{}G1\discretionary {-}{}{}P Natural Logarithm of 1+\discretionary {-}{}{}P Function}{404}{section.19.45}
\contentsline {subsection}{\numberline {19.45.1}Usage}{404}{subsection.19.45.1}
\contentsline {section}{\numberline {19.46}L\discretionary {-}{}{}O\discretionary {-}{}{}G2 Base-\/2 Logarithm Function}{404}{section.19.46}
\contentsline {subsection}{\numberline {19.46.1}Usage}{404}{subsection.19.46.1}
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\contentsline {subsection}{\numberline {19.47.2}Example}{406}{subsection.19.47.2}
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\contentsline {subsection}{\numberline {19.48.1}Usage}{406}{subsection.19.48.1}
\contentsline {section}{\numberline {19.49}P\discretionary {-}{}{}O\discretionary {-}{}{}W\discretionary {-}{}{}E\discretionary {-}{}{}R Element-\/wise Power Function}{407}{section.19.49}
\contentsline {subsection}{\numberline {19.49.1}Usage}{407}{subsection.19.49.1}
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\contentsline {subsection}{\numberline {19.50.1}Usage}{407}{subsection.19.50.1}
\contentsline {subsection}{\numberline {19.50.2}Examples}{407}{subsection.19.50.2}
\contentsline {section}{\numberline {19.51}R\discretionary {-}{}{}E\discretionary {-}{}{}M Remainder After Division}{407}{section.19.51}
\contentsline {subsection}{\numberline {19.51.1}Usage}{407}{subsection.19.51.1}
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\contentsline {section}{\numberline {19.52}S\discretionary {-}{}{}E\discretionary {-}{}{}C Trigonometric Secant Function}{408}{section.19.52}
\contentsline {subsection}{\numberline {19.52.1}Usage}{408}{subsection.19.52.1}
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\contentsline {subsection}{\numberline {19.53.1}Usage}{410}{subsection.19.53.1}
\contentsline {section}{\numberline {19.54}S\discretionary {-}{}{}E\discretionary {-}{}{}C\discretionary {-}{}{}H Hyperbolic Secant Function}{411}{section.19.54}
\contentsline {subsection}{\numberline {19.54.1}Usage}{411}{subsection.19.54.1}
\contentsline {subsection}{\numberline {19.54.2}Internals}{411}{subsection.19.54.2}
\contentsline {subsection}{\numberline {19.54.3}Examples}{411}{subsection.19.54.3}
\contentsline {section}{\numberline {19.55}S\discretionary {-}{}{}I\discretionary {-}{}{}N Trigonometric Sine Function}{412}{section.19.55}
\contentsline {subsection}{\numberline {19.55.1}Usage}{412}{subsection.19.55.1}
\contentsline {subsection}{\numberline {19.55.2}Internals}{413}{subsection.19.55.2}
\contentsline {subsection}{\numberline {19.55.3}Example}{413}{subsection.19.55.3}
\contentsline {section}{\numberline {19.56}S\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}D Sine Degrees Function}{414}{section.19.56}
\contentsline {subsection}{\numberline {19.56.1}Usage}{414}{subsection.19.56.1}
\contentsline {subsection}{\numberline {19.56.2}Examples}{415}{subsection.19.56.2}
\contentsline {section}{\numberline {19.57}S\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}H Hyperbolic Sine Function}{415}{section.19.57}
\contentsline {subsection}{\numberline {19.57.1}Usage}{415}{subsection.19.57.1}
\contentsline {subsection}{\numberline {19.57.2}Internals}{415}{subsection.19.57.2}
\contentsline {subsection}{\numberline {19.57.3}Examples}{415}{subsection.19.57.3}
\contentsline {section}{\numberline {19.58}S\discretionary {-}{}{}Q\discretionary {-}{}{}R\discretionary {-}{}{}T Square Root of an Array}{416}{section.19.58}
\contentsline {subsection}{\numberline {19.58.1}Usage}{416}{subsection.19.58.1}
\contentsline {subsection}{\numberline {19.58.2}Example}{417}{subsection.19.58.2}
\contentsline {section}{\numberline {19.59}T\discretionary {-}{}{}A\discretionary {-}{}{}N Trigonometric Tangent Function}{417}{section.19.59}
\contentsline {subsection}{\numberline {19.59.1}Usage}{417}{subsection.19.59.1}
\contentsline {subsection}{\numberline {19.59.2}Internals}{417}{subsection.19.59.2}
\contentsline {subsection}{\numberline {19.59.3}Example}{418}{subsection.19.59.3}
\contentsline {section}{\numberline {19.60}T\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D Tangent Degrees Function}{418}{section.19.60}
\contentsline {subsection}{\numberline {19.60.1}Usage}{419}{subsection.19.60.1}
\contentsline {subsection}{\numberline {19.60.2}Examples}{419}{subsection.19.60.2}
\contentsline {section}{\numberline {19.61}T\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}H Hyperbolic Tangent Function}{419}{section.19.61}
\contentsline {subsection}{\numberline {19.61.1}Usage}{419}{subsection.19.61.1}
\contentsline {subsection}{\numberline {19.61.2}Internals}{419}{subsection.19.61.2}
\contentsline {subsection}{\numberline {19.61.3}Examples}{419}{subsection.19.61.3}
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\contentsline {subsection}{\numberline {20.1.1}Usage}{421}{subsection.20.1.1}
\contentsline {section}{\numberline {20.2}O\discretionary {-}{}{}D\discretionary {-}{}{}E45 Numerical Solution of O\discretionary {-}{}{}D\discretionary {-}{}{}Es}{421}{section.20.2}
\contentsline {subsection}{\numberline {20.2.1}Usage}{421}{subsection.20.2.1}
\contentsline {section}{\numberline {20.3}T\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}P\discretionary {-}{}{}Z Trapezoidal Rule Integration}{423}{section.20.3}
\contentsline {subsection}{\numberline {20.3.1}Usage}{423}{subsection.20.3.1}
\contentsline {chapter}{\numberline {21}Mathematical Operators}{425}{chapter.21}
\contentsline {section}{\numberline {21.1}C\discretionary {-}{}{}O\discretionary {-}{}{}L\discretionary {-}{}{}O\discretionary {-}{}{}N Index Generation Operator}{425}{section.21.1}
\contentsline {subsection}{\numberline {21.1.1}Usage}{425}{subsection.21.1.1}
\contentsline {subsection}{\numberline {21.1.2}Internals}{426}{subsection.21.1.2}
\contentsline {subsection}{\numberline {21.1.3}Examples}{427}{subsection.21.1.3}
\contentsline {section}{\numberline {21.2}C\discretionary {-}{}{}O\discretionary {-}{}{}M\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}S\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}O\discretionary {-}{}{}P\discretionary {-}{}{}S Array Comparison Operators}{427}{section.21.2}
\contentsline {subsection}{\numberline {21.2.1}Usage}{427}{subsection.21.2.1}
\contentsline {subsection}{\numberline {21.2.2}Examples}{428}{subsection.21.2.2}
\contentsline {section}{\numberline {21.3}D\discretionary {-}{}{}O\discretionary {-}{}{}T\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}V\discretionary {-}{}{}I\discretionary {-}{}{}D\discretionary {-}{}{}E Element-\/wise Left-\/\discretionary {-}{}{}Division Operator}{428}{section.21.3}
\contentsline {subsection}{\numberline {21.3.1}Usage}{428}{subsection.21.3.1}
\contentsline {subsection}{\numberline {21.3.2}Internals}{429}{subsection.21.3.2}
\contentsline {subsection}{\numberline {21.3.3}Examples}{429}{subsection.21.3.3}
\contentsline {section}{\numberline {21.4}D\discretionary {-}{}{}O\discretionary {-}{}{}T\discretionary {-}{}{}P\discretionary {-}{}{}O\discretionary {-}{}{}W\discretionary {-}{}{}E\discretionary {-}{}{}R Element-\/wise Power Operator}{430}{section.21.4}
\contentsline {subsection}{\numberline {21.4.1}Usage}{430}{subsection.21.4.1}
\contentsline {subsection}{\numberline {21.4.2}Internals}{430}{subsection.21.4.2}
\contentsline {subsection}{\numberline {21.4.3}Examples}{430}{subsection.21.4.3}
\contentsline {section}{\numberline {21.5}D\discretionary {-}{}{}O\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}G\discretionary {-}{}{}H\discretionary {-}{}{}T\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}V\discretionary {-}{}{}I\discretionary {-}{}{}D\discretionary {-}{}{}E Element-\/wise Right-\/\discretionary {-}{}{}Division Operator}{431}{section.21.5}
\contentsline {subsection}{\numberline {21.5.1}Usage}{431}{subsection.21.5.1}
\contentsline {subsection}{\numberline {21.5.2}Internals}{432}{subsection.21.5.2}
\contentsline {subsection}{\numberline {21.5.3}Examples}{432}{subsection.21.5.3}
\contentsline {section}{\numberline {21.6}D\discretionary {-}{}{}O\discretionary {-}{}{}T\discretionary {-}{}{}T\discretionary {-}{}{}I\discretionary {-}{}{}M\discretionary {-}{}{}E\discretionary {-}{}{}S Element-\/wise Multiplication Operator}{433}{section.21.6}
\contentsline {subsection}{\numberline {21.6.1}Usage}{433}{subsection.21.6.1}
\contentsline {subsection}{\numberline {21.6.2}Internals}{433}{subsection.21.6.2}
\contentsline {subsection}{\numberline {21.6.3}Examples}{433}{subsection.21.6.3}
\contentsline {section}{\numberline {21.7}H\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}M\discretionary {-}{}{}I\discretionary {-}{}{}T\discretionary {-}{}{}I\discretionary {-}{}{}A\discretionary {-}{}{}N Matrix Hermitian (Conjugate Transpose) Operator}{434}{section.21.7}
\contentsline {subsection}{\numberline {21.7.1}Usage}{434}{subsection.21.7.1}
\contentsline {subsection}{\numberline {21.7.2}Internals}{434}{subsection.21.7.2}
\contentsline {subsection}{\numberline {21.7.3}Examples}{435}{subsection.21.7.3}
\contentsline {section}{\numberline {21.8}L\discretionary {-}{}{}E\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}V\discretionary {-}{}{}I\discretionary {-}{}{}D\discretionary {-}{}{}E Matrix Equation Solver/\discretionary {-}{}{}Divide Operator}{435}{section.21.8}
\contentsline {subsection}{\numberline {21.8.1}Usage}{435}{subsection.21.8.1}
\contentsline {subsection}{\numberline {21.8.2}Internals}{436}{subsection.21.8.2}
\contentsline {subsection}{\numberline {21.8.3}Examples}{436}{subsection.21.8.3}
\contentsline {section}{\numberline {21.9}L\discretionary {-}{}{}O\discretionary {-}{}{}G\discretionary {-}{}{}I\discretionary {-}{}{}C\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}O\discretionary {-}{}{}P\discretionary {-}{}{}S Logical Array Operators}{437}{section.21.9}
\contentsline {subsection}{\numberline {21.9.1}Usage}{437}{subsection.21.9.1}
\contentsline {subsection}{\numberline {21.9.2}Examples}{438}{subsection.21.9.2}
\contentsline {section}{\numberline {21.10}M\discretionary {-}{}{}A\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}X\discretionary {-}{}{}P\discretionary {-}{}{}O\discretionary {-}{}{}W\discretionary {-}{}{}E\discretionary {-}{}{}R Matrix Power Operator}{439}{section.21.10}
\contentsline {subsection}{\numberline {21.10.1}Usage}{439}{subsection.21.10.1}
\contentsline {subsection}{\numberline {21.10.2}Internals}{439}{subsection.21.10.2}
\contentsline {subsection}{\numberline {21.10.3}Examples}{440}{subsection.21.10.3}
\contentsline {section}{\numberline {21.11}M\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}U\discretionary {-}{}{}S Subtraction Operator}{440}{section.21.11}
\contentsline {subsection}{\numberline {21.11.1}Usage}{440}{subsection.21.11.1}
\contentsline {subsection}{\numberline {21.11.2}Internals}{441}{subsection.21.11.2}
\contentsline {subsection}{\numberline {21.11.3}Examples}{441}{subsection.21.11.3}
\contentsline {section}{\numberline {21.12}P\discretionary {-}{}{}L\discretionary {-}{}{}U\discretionary {-}{}{}S Addition Operator}{442}{section.21.12}
\contentsline {subsection}{\numberline {21.12.1}Usage}{442}{subsection.21.12.1}
\contentsline {subsection}{\numberline {21.12.2}Internals}{442}{subsection.21.12.2}
\contentsline {subsection}{\numberline {21.12.3}Examples}{442}{subsection.21.12.3}
\contentsline {section}{\numberline {21.13}R\discretionary {-}{}{}I\discretionary {-}{}{}G\discretionary {-}{}{}H\discretionary {-}{}{}T\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}V\discretionary {-}{}{}I\discretionary {-}{}{}D\discretionary {-}{}{}E Matrix Equation Solver/\discretionary {-}{}{}Divide Operator}{443}{section.21.13}
\contentsline {subsection}{\numberline {21.13.1}Usage}{443}{subsection.21.13.1}
\contentsline {subsection}{\numberline {21.13.2}Internals}{443}{subsection.21.13.2}
\contentsline {subsection}{\numberline {21.13.3}Examples}{444}{subsection.21.13.3}
\contentsline {section}{\numberline {21.14}T\discretionary {-}{}{}I\discretionary {-}{}{}M\discretionary {-}{}{}E\discretionary {-}{}{}S Matrix Multiply Operator}{444}{section.21.14}
\contentsline {subsection}{\numberline {21.14.1}Usage}{444}{subsection.21.14.1}
\contentsline {subsection}{\numberline {21.14.2}Internals}{444}{subsection.21.14.2}
\contentsline {subsection}{\numberline {21.14.3}Examples}{445}{subsection.21.14.3}
\contentsline {section}{\numberline {21.15}T\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}O\discretionary {-}{}{}S\discretionary {-}{}{}E Matrix Transpose Operator}{445}{section.21.15}
\contentsline {subsection}{\numberline {21.15.1}Usage}{445}{subsection.21.15.1}
\contentsline {subsection}{\numberline {21.15.2}Internals}{445}{subsection.21.15.2}
\contentsline {subsection}{\numberline {21.15.3}Examples}{446}{subsection.21.15.3}
\contentsline {section}{\numberline {21.16}T\discretionary {-}{}{}Y\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}U\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}S Type Rules for Operators}{446}{section.21.16}
\contentsline {subsection}{\numberline {21.16.1}Usage}{446}{subsection.21.16.1}
\contentsline {chapter}{\numberline {22}Operating System Functions}{447}{chapter.22}
\contentsline {section}{\numberline {22.1}C\discretionary {-}{}{}D Change Working Directory Function}{447}{section.22.1}
\contentsline {subsection}{\numberline {22.1.1}Usage}{447}{subsection.22.1.1}
\contentsline {subsection}{\numberline {22.1.2}Example}{448}{subsection.22.1.2}
\contentsline {section}{\numberline {22.2}C\discretionary {-}{}{}O\discretionary {-}{}{}P\discretionary {-}{}{}Y\discretionary {-}{}{}F\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E Copy Files}{448}{section.22.2}
\contentsline {subsection}{\numberline {22.2.1}Usage}{448}{subsection.22.2.1}
\contentsline {section}{\numberline {22.3}D\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}T\discretionary {-}{}{}E Delete a File}{449}{section.22.3}
\contentsline {subsection}{\numberline {22.3.1}Usage}{449}{subsection.22.3.1}
\contentsline {section}{\numberline {22.4}D\discretionary {-}{}{}I\discretionary {-}{}{}R List Files Function}{449}{section.22.4}
\contentsline {subsection}{\numberline {22.4.1}Usage}{449}{subsection.22.4.1}
\contentsline {section}{\numberline {22.5}D\discretionary {-}{}{}I\discretionary {-}{}{}R\discretionary {-}{}{}S\discretionary {-}{}{}E\discretionary {-}{}{}P Director Seperator}{450}{section.22.5}
\contentsline {subsection}{\numberline {22.5.1}Usage}{450}{subsection.22.5.1}
\contentsline {section}{\numberline {22.6}F\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}T\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}B Get and Set File or Directory Attributes}{450}{section.22.6}
\contentsline {subsection}{\numberline {22.6.1}Usage}{450}{subsection.22.6.1}
\contentsline {section}{\numberline {22.7}F\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}T\discretionary {-}{}{}S Extract Filename Parts}{451}{section.22.7}
\contentsline {subsection}{\numberline {22.7.1}Usage}{451}{subsection.22.7.1}
\contentsline {section}{\numberline {22.8}F\discretionary {-}{}{}U\discretionary {-}{}{}L\discretionary {-}{}{}L\discretionary {-}{}{}F\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}E Build a Full Filename From Pieces}{451}{section.22.8}
\contentsline {subsection}{\numberline {22.8.1}Usage}{452}{subsection.22.8.1}
\contentsline {subsection}{\numberline {22.8.2}Example}{452}{subsection.22.8.2}
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\contentsline {subsection}{\numberline {22.9.1}Usage}{452}{subsection.22.9.1}
\contentsline {subsection}{\numberline {22.9.2}Example}{452}{subsection.22.9.2}
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\contentsline {subsection}{\numberline {22.10.1}Usage}{452}{subsection.22.10.1}
\contentsline {subsection}{\numberline {22.10.2}Example}{453}{subsection.22.10.2}
\contentsline {section}{\numberline {22.11}L\discretionary {-}{}{}S List Files Function}{453}{section.22.11}
\contentsline {subsection}{\numberline {22.11.1}Usage}{453}{subsection.22.11.1}
\contentsline {subsection}{\numberline {22.11.2}Example}{453}{subsection.22.11.2}
\contentsline {section}{\numberline {22.12}M\discretionary {-}{}{}K\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}R Make Directory}{453}{section.22.12}
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\contentsline {section}{\numberline {22.13}P\discretionary {-}{}{}W\discretionary {-}{}{}D Print Working Directory Function}{454}{section.22.13}
\contentsline {subsection}{\numberline {22.13.1}Usage}{454}{subsection.22.13.1}
\contentsline {subsection}{\numberline {22.13.2}Example}{454}{subsection.22.13.2}
\contentsline {section}{\numberline {22.14}R\discretionary {-}{}{}M\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}R Remove Directory}{454}{section.22.14}
\contentsline {subsection}{\numberline {22.14.1}Usage}{454}{subsection.22.14.1}
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\contentsline {subsection}{\numberline {22.15.1}Usage}{455}{subsection.22.15.1}
\contentsline {subsection}{\numberline {22.15.2}Example}{455}{subsection.22.15.2}
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\contentsline {subsection}{\numberline {22.16.1}Usage}{455}{subsection.22.16.1}
\contentsline {subsection}{\numberline {22.16.2}Example}{455}{subsection.22.16.2}
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\contentsline {subsection}{\numberline {23.1.2}Example}{458}{subsection.23.1.2}
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\contentsline {subsection}{\numberline {23.2.1}Usage}{459}{subsection.23.2.1}
\contentsline {subsection}{\numberline {23.2.2}Internals}{459}{subsection.23.2.2}
\contentsline {subsection}{\numberline {23.2.3}Example}{459}{subsection.23.2.3}
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\contentsline {subsection}{\numberline {23.3.1}Usage}{461}{subsection.23.3.1}
\contentsline {subsection}{\numberline {23.3.2}Internals}{461}{subsection.23.3.2}
\contentsline {subsection}{\numberline {23.3.3}Example}{461}{subsection.23.3.3}
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\contentsline {subsection}{\numberline {23.4.1}Usage}{461}{subsection.23.4.1}
\contentsline {subsection}{\numberline {23.4.2}Internals}{461}{subsection.23.4.2}
\contentsline {subsection}{\numberline {23.4.3}Example}{462}{subsection.23.4.3}
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\contentsline {subsection}{\numberline {23.5.1}Usage}{463}{subsection.23.5.1}
\contentsline {subsection}{\numberline {23.5.2}Internals}{463}{subsection.23.5.2}
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\contentsline {section}{\numberline {23.6}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}F Generate F-\/\discretionary {-}{}{}Distributed Random Variable}{463}{section.23.6}
\contentsline {subsection}{\numberline {23.6.1}Usage}{463}{subsection.23.6.1}
\contentsline {subsection}{\numberline {23.6.2}Internals}{464}{subsection.23.6.2}
\contentsline {subsection}{\numberline {23.6.3}Example}{464}{subsection.23.6.3}
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\contentsline {subsection}{\numberline {23.7.1}Usage}{464}{subsection.23.7.1}
\contentsline {subsection}{\numberline {23.7.2}Internals}{464}{subsection.23.7.2}
\contentsline {subsection}{\numberline {23.7.3}Example}{465}{subsection.23.7.3}
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\contentsline {subsection}{\numberline {23.8.1}Usage}{465}{subsection.23.8.1}
\contentsline {subsection}{\numberline {23.8.2}Example}{465}{subsection.23.8.2}
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\contentsline {subsection}{\numberline {23.9.1}Usage}{466}{subsection.23.9.1}
\contentsline {subsection}{\numberline {23.9.2}Internals}{466}{subsection.23.9.2}
\contentsline {subsection}{\numberline {23.9.3}Example}{466}{subsection.23.9.3}
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\contentsline {subsection}{\numberline {23.10.1}Usage}{466}{subsection.23.10.1}
\contentsline {subsection}{\numberline {23.10.2}Internals}{467}{subsection.23.10.2}
\contentsline {subsection}{\numberline {23.10.3}Example}{467}{subsection.23.10.3}
\contentsline {section}{\numberline {23.11}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}N\discretionary {-}{}{}B\discretionary {-}{}{}I\discretionary {-}{}{}N Generate Negative Binomial Random Variables}{468}{section.23.11}
\contentsline {subsection}{\numberline {23.11.1}Usage}{468}{subsection.23.11.1}
\contentsline {subsection}{\numberline {23.11.2}Internals}{468}{subsection.23.11.2}
\contentsline {subsection}{\numberline {23.11.3}Example}{468}{subsection.23.11.3}
\contentsline {section}{\numberline {23.12}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}N\discretionary {-}{}{}C\discretionary {-}{}{}H\discretionary {-}{}{}I Generate Noncentral Chi-\/\discretionary {-}{}{}Square Random Variable}{469}{section.23.12}
\contentsline {subsection}{\numberline {23.12.1}Usage}{469}{subsection.23.12.1}
\contentsline {subsection}{\numberline {23.12.2}Internals}{469}{subsection.23.12.2}
\contentsline {subsection}{\numberline {23.12.3}Examples}{469}{subsection.23.12.3}
\contentsline {section}{\numberline {23.13}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}N\discretionary {-}{}{}F Generate Noncentral F-\/\discretionary {-}{}{}Distribution Random Variable}{469}{section.23.13}
\contentsline {subsection}{\numberline {23.13.1}Usage}{469}{subsection.23.13.1}
\contentsline {subsection}{\numberline {23.13.2}Internals}{470}{subsection.23.13.2}
\contentsline {subsection}{\numberline {23.13.3}Example}{470}{subsection.23.13.3}
\contentsline {section}{\numberline {23.14}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}P Generate Poisson Random Variable}{470}{section.23.14}
\contentsline {subsection}{\numberline {23.14.1}Usage}{470}{subsection.23.14.1}
\contentsline {subsection}{\numberline {23.14.2}Internals}{470}{subsection.23.14.2}
\contentsline {subsection}{\numberline {23.14.3}Example}{470}{subsection.23.14.3}
\contentsline {section}{\numberline {23.15}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}M Random permutation}{471}{section.23.15}
\contentsline {subsection}{\numberline {23.15.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{471}{subsection.23.15.1}
\contentsline {subsection}{\numberline {23.15.2}Example}{471}{subsection.23.15.2}
\contentsline {section}{\numberline {23.16}S\discretionary {-}{}{}E\discretionary {-}{}{}E\discretionary {-}{}{}D Seed the Random Number Generator}{471}{section.23.16}
\contentsline {subsection}{\numberline {23.16.1}Usage}{471}{subsection.23.16.1}
\contentsline {subsection}{\numberline {23.16.2}Example}{471}{subsection.23.16.2}
\contentsline {chapter}{\numberline {24}Signal Processing Functions}{473}{chapter.24}
\contentsline {section}{\numberline {24.1}C\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}V Convolution Function}{473}{section.24.1}
\contentsline {subsection}{\numberline {24.1.1}Usage}{473}{subsection.24.1.1}
\contentsline {section}{\numberline {24.2}C\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}V2 Matrix Convolution}{473}{section.24.2}
\contentsline {subsection}{\numberline {24.2.1}Usage}{473}{subsection.24.2.1}
\contentsline {subsection}{\numberline {24.2.2}Internals}{474}{subsection.24.2.2}
\contentsline {chapter}{\numberline {25}Sparse Matrix Support}{475}{chapter.25}
\contentsline {section}{\numberline {25.1}E\discretionary {-}{}{}I\discretionary {-}{}{}G\discretionary {-}{}{}S Sparse Matrix Eigendecomposition}{475}{section.25.1}
\contentsline {subsection}{\numberline {25.1.1}Usage}{475}{subsection.25.1.1}
\contentsline {subsection}{\numberline {25.1.2}Example}{476}{subsection.25.1.2}
\contentsline {section}{\numberline {25.2}F\discretionary {-}{}{}U\discretionary {-}{}{}L\discretionary {-}{}{}L Convert Sparse Matrix to Full Matrix}{477}{section.25.2}
\contentsline {subsection}{\numberline {25.2.1}Usage}{477}{subsection.25.2.1}
\contentsline {subsection}{\numberline {25.2.2}Example}{477}{subsection.25.2.2}
\contentsline {section}{\numberline {25.3}S\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}S\discretionary {-}{}{}E Construct a Sparse Matrix}{477}{section.25.3}
\contentsline {subsection}{\numberline {25.3.1}Usage}{477}{subsection.25.3.1}
\contentsline {section}{\numberline {25.4}S\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}Y\discretionary {-}{}{}E Sparse Identity Matrix}{478}{section.25.4}
\contentsline {subsection}{\numberline {25.4.1}Usage}{478}{subsection.25.4.1}
\contentsline {subsection}{\numberline {25.4.2}Example}{478}{subsection.25.4.2}
\contentsline {section}{\numberline {25.5}S\discretionary {-}{}{}P\discretionary {-}{}{}O\discretionary {-}{}{}N\discretionary {-}{}{}E\discretionary {-}{}{}S Sparse Ones Function}{478}{section.25.5}
\contentsline {subsection}{\numberline {25.5.1}Usage}{478}{subsection.25.5.1}
\contentsline {subsection}{\numberline {25.5.2}Examples}{478}{subsection.25.5.2}
\contentsline {section}{\numberline {25.6}S\discretionary {-}{}{}P\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D Sparse Uniform Random Matrix}{479}{section.25.6}
\contentsline {subsection}{\numberline {25.6.1}Usage}{479}{subsection.25.6.1}
\contentsline {subsection}{\numberline {25.6.2}Examples}{479}{subsection.25.6.2}
\contentsline {section}{\numberline {25.7}S\discretionary {-}{}{}P\discretionary {-}{}{}R\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}D\discretionary {-}{}{}N Sparse Normal Random Matrix}{480}{section.25.7}
\contentsline {subsection}{\numberline {25.7.1}Usage}{480}{subsection.25.7.1}
\contentsline {subsection}{\numberline {25.7.2}Examples}{480}{subsection.25.7.2}
\contentsline {section}{\numberline {25.8}S\discretionary {-}{}{}P\discretionary {-}{}{}Y Visualize Sparsity Pattern of a Sparse Matrix}{481}{section.25.8}
\contentsline {subsection}{\numberline {25.8.1}Usage}{481}{subsection.25.8.1}
\contentsline {subsection}{\numberline {25.8.2}Example}{481}{subsection.25.8.2}
\contentsline {chapter}{\numberline {26}String Functions}{485}{chapter.26}
\contentsline {section}{\numberline {26.1}B\discretionary {-}{}{}L\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}K\discretionary {-}{}{}S Create a blank string}{485}{section.26.1}
\contentsline {subsection}{\numberline {26.1.1}Usage}{485}{subsection.26.1.1}
\contentsline {subsection}{\numberline {26.1.2}Example}{486}{subsection.26.1.2}
\contentsline {section}{\numberline {26.2}C\discretionary {-}{}{}E\discretionary {-}{}{}L\discretionary {-}{}{}L\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}R Convert character array to cell array of strings}{486}{section.26.2}
\contentsline {subsection}{\numberline {26.2.1}Usage}{486}{subsection.26.2.1}
\contentsline {subsection}{\numberline {26.2.2}Example}{486}{subsection.26.2.2}
\contentsline {section}{\numberline {26.3}D\discretionary {-}{}{}E\discretionary {-}{}{}B\discretionary {-}{}{}L\discretionary {-}{}{}A\discretionary {-}{}{}N\discretionary {-}{}{}K Remove trailing blanks from a string}{486}{section.26.3}
\contentsline {subsection}{\numberline {26.3.1}Usage}{486}{subsection.26.3.1}
\contentsline {subsection}{\numberline {26.3.2}Example}{487}{subsection.26.3.2}
\contentsline {section}{\numberline {26.4}I\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}P\discretionary {-}{}{}H\discretionary {-}{}{}A Test for Alpha Characters in a String}{487}{section.26.4}
\contentsline {subsection}{\numberline {26.4.1}Usage}{487}{subsection.26.4.1}
\contentsline {subsection}{\numberline {26.4.2}Example}{487}{subsection.26.4.2}
\contentsline {section}{\numberline {26.5}I\discretionary {-}{}{}S\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}G\discretionary {-}{}{}I\discretionary {-}{}{}T Test for Digit Characters in a String}{487}{section.26.5}
\contentsline {subsection}{\numberline {26.5.1}Usage}{487}{subsection.26.5.1}
\contentsline {subsection}{\numberline {26.5.2}Example}{488}{subsection.26.5.2}
\contentsline {section}{\numberline {26.6}I\discretionary {-}{}{}S\discretionary {-}{}{}S\discretionary {-}{}{}P\discretionary {-}{}{}A\discretionary {-}{}{}C\discretionary {-}{}{}E Test for Space Characters in a String}{488}{section.26.6}
\contentsline {subsection}{\numberline {26.6.1}Usage}{488}{subsection.26.6.1}
\contentsline {subsection}{\numberline {26.6.2}Example}{488}{subsection.26.6.2}
\contentsline {section}{\numberline {26.7}L\discretionary {-}{}{}O\discretionary {-}{}{}W\discretionary {-}{}{}E\discretionary {-}{}{}R Convert strings to lower case}{488}{section.26.7}
\contentsline {subsection}{\numberline {26.7.1}Usage}{488}{subsection.26.7.1}
\contentsline {subsection}{\numberline {26.7.2}Example}{488}{subsection.26.7.2}
\contentsline {section}{\numberline {26.8}R\discretionary {-}{}{}E\discretionary {-}{}{}G\discretionary {-}{}{}E\discretionary {-}{}{}X\discretionary {-}{}{}P Regular Expression Matching Function}{489}{section.26.8}
\contentsline {subsection}{\numberline {26.8.1}Usage}{489}{subsection.26.8.1}
\contentsline {subsection}{\numberline {26.8.2}Example}{490}{subsection.26.8.2}
\contentsline {section}{\numberline {26.9}R\discretionary {-}{}{}E\discretionary {-}{}{}G\discretionary {-}{}{}E\discretionary {-}{}{}X\discretionary {-}{}{}P\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}P Regular Expression Replacement Function}{490}{section.26.9}
\contentsline {subsection}{\numberline {26.9.1}Usage}{490}{subsection.26.9.1}
\contentsline {section}{\numberline {26.10}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}C\discretionary {-}{}{}M\discretionary {-}{}{}P String Compare Function}{491}{section.26.10}
\contentsline {subsection}{\numberline {26.10.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{491}{subsection.26.10.1}
\contentsline {subsection}{\numberline {26.10.2}Example}{491}{subsection.26.10.2}
\contentsline {section}{\numberline {26.11}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}C\discretionary {-}{}{}M\discretionary {-}{}{}P\discretionary {-}{}{}I String Compare Case Insensitive Function}{492}{section.26.11}
\contentsline {subsection}{\numberline {26.11.1}Usage}{492}{subsection.26.11.1}
\contentsline {section}{\numberline {26.12}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}F\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}D Find Substring in a String}{492}{section.26.12}
\contentsline {subsection}{\numberline {26.12.1}Usage}{492}{subsection.26.12.1}
\contentsline {subsection}{\numberline {26.12.2}Example}{492}{subsection.26.12.2}
\contentsline {section}{\numberline {26.13}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}N\discretionary {-}{}{}C\discretionary {-}{}{}M\discretionary {-}{}{}P String Compare Function To Length N}{493}{section.26.13}
\contentsline {subsection}{\numberline {26.13.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{493}{subsection.26.13.1}
\contentsline {subsection}{\numberline {26.13.2}Example}{493}{subsection.26.13.2}
\contentsline {section}{\numberline {26.14}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}P String Replace Function}{494}{section.26.14}
\contentsline {subsection}{\numberline {26.14.1}Usage}{494}{subsection.26.14.1}
\contentsline {subsection}{\numberline {26.14.2}Example}{494}{subsection.26.14.2}
\contentsline {section}{\numberline {26.15}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}R String Search Function}{494}{section.26.15}
\contentsline {subsection}{\numberline {26.15.1}Usage}{494}{subsection.26.15.1}
\contentsline {subsection}{\numberline {26.15.2}Example}{494}{subsection.26.15.2}
\contentsline {section}{\numberline {26.16}S\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}T\discretionary {-}{}{}R\discretionary {-}{}{}I\discretionary {-}{}{}M Trim Spaces from a String}{495}{section.26.16}
\contentsline {subsection}{\numberline {26.16.1}Usage}{495}{subsection.26.16.1}
\contentsline {subsection}{\numberline {26.16.2}Example}{495}{subsection.26.16.2}
\contentsline {section}{\numberline {26.17}U\discretionary {-}{}{}P\discretionary {-}{}{}P\discretionary {-}{}{}E\discretionary {-}{}{}R Convert strings to upper case}{495}{section.26.17}
\contentsline {subsection}{\numberline {26.17.1}Usage}{495}{subsection.26.17.1}
\contentsline {subsection}{\numberline {26.17.2}Example}{496}{subsection.26.17.2}
\contentsline {chapter}{\numberline {27}Free\discretionary {-}{}{}Mat Threads}{497}{chapter.27}
\contentsline {section}{\numberline {27.1}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}C\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}L Call Function In A Thread}{497}{section.27.1}
\contentsline {subsection}{\numberline {27.1.1}Usage}{497}{subsection.27.1.1}
\contentsline {subsection}{\numberline {27.1.2}Example}{497}{subsection.27.1.2}
\contentsline {section}{\numberline {27.2}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}F\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}E Free thread resources}{498}{section.27.2}
\contentsline {subsection}{\numberline {27.2.1}Usage}{498}{subsection.27.2.1}
\contentsline {section}{\numberline {27.3}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}I\discretionary {-}{}{}D Get Current Thread Handle}{498}{section.27.3}
\contentsline {subsection}{\numberline {27.3.1}Usage}{498}{subsection.27.3.1}
\contentsline {subsection}{\numberline {27.3.2}Example}{498}{subsection.27.3.2}
\contentsline {section}{\numberline {27.4}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}K\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}L Halt execution of a thread}{499}{section.27.4}
\contentsline {subsection}{\numberline {27.4.1}Usage}{499}{subsection.27.4.1}
\contentsline {subsection}{\numberline {27.4.2}Example}{499}{subsection.27.4.2}
\contentsline {section}{\numberline {27.5}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}N\discretionary {-}{}{}E\discretionary {-}{}{}W Create a New Thread}{500}{section.27.5}
\contentsline {subsection}{\numberline {27.5.1}Usage}{500}{subsection.27.5.1}
\contentsline {section}{\numberline {27.6}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}S\discretionary {-}{}{}T\discretionary {-}{}{}A\discretionary {-}{}{}R\discretionary {-}{}{}T Start a New Thread Computation}{500}{section.27.6}
\contentsline {subsection}{\numberline {27.6.1}Usage}{500}{subsection.27.6.1}
\contentsline {subsection}{\numberline {27.6.2}Example}{501}{subsection.27.6.2}
\contentsline {section}{\numberline {27.7}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}V\discretionary {-}{}{}A\discretionary {-}{}{}L\discretionary {-}{}{}U\discretionary {-}{}{}E Retrieve the return values from a thread}{502}{section.27.7}
\contentsline {subsection}{\numberline {27.7.1}Usage}{502}{subsection.27.7.1}
\contentsline {subsection}{\numberline {27.7.2}Example}{502}{subsection.27.7.2}
\contentsline {section}{\numberline {27.8}T\discretionary {-}{}{}H\discretionary {-}{}{}R\discretionary {-}{}{}E\discretionary {-}{}{}A\discretionary {-}{}{}D\discretionary {-}{}{}W\discretionary {-}{}{}A\discretionary {-}{}{}I\discretionary {-}{}{}T Wait on a thread to complete execution}{503}{section.27.8}
\contentsline {subsection}{\numberline {27.8.1}Usage}{503}{subsection.27.8.1}
\contentsline {subsection}{\numberline {27.8.2}Example}{503}{subsection.27.8.2}
\contentsline {chapter}{\numberline {28}Transforms/\discretionary {-}{}{}Decompositions}{505}{chapter.28}
\contentsline {section}{\numberline {28.1}E\discretionary {-}{}{}I\discretionary {-}{}{}G Eigendecomposition of a Matrix}{505}{section.28.1}
\contentsline {subsection}{\numberline {28.1.1}Usage}{505}{subsection.28.1.1}
\contentsline {subsection}{\numberline {28.1.2}Internals}{506}{subsection.28.1.2}
\contentsline {subsection}{\numberline {28.1.3}Example}{506}{subsection.28.1.3}
\contentsline {section}{\numberline {28.2}F\discretionary {-}{}{}F\discretionary {-}{}{}T (Inverse) Fast Fourier Transform Function}{508}{section.28.2}
\contentsline {subsection}{\numberline {28.2.1}Usage}{508}{subsection.28.2.1}
\contentsline {subsection}{\numberline {28.2.2}Internals}{509}{subsection.28.2.2}
\contentsline {subsection}{\numberline {28.2.3}Example}{509}{subsection.28.2.3}
\contentsline {section}{\numberline {28.3}F\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}N N-\/\discretionary {-}{}{}Dimensional Forward F\discretionary {-}{}{}F\discretionary {-}{}{}T}{512}{section.28.3}
\contentsline {subsection}{\numberline {28.3.1}Usage}{512}{subsection.28.3.1}
\contentsline {section}{\numberline {28.4}F\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}S\discretionary {-}{}{}H\discretionary {-}{}{}I\discretionary {-}{}{}F\discretionary {-}{}{}T Shift F\discretionary {-}{}{}F\discretionary {-}{}{}T Output}{513}{section.28.4}
\contentsline {subsection}{\numberline {28.4.1}Usage}{513}{subsection.28.4.1}
\contentsline {section}{\numberline {28.5}H\discretionary {-}{}{}I\discretionary {-}{}{}L\discretionary {-}{}{}B\discretionary {-}{}{}E\discretionary {-}{}{}R\discretionary {-}{}{}T Hilbert Transform}{513}{section.28.5}
\contentsline {subsection}{\numberline {28.5.1}Usage}{513}{subsection.28.5.1}
\contentsline {section}{\numberline {28.6}I\discretionary {-}{}{}F\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}N N-\/\discretionary {-}{}{}Dimensional Inverse F\discretionary {-}{}{}F\discretionary {-}{}{}T}{513}{section.28.6}
\contentsline {subsection}{\numberline {28.6.1}Usage}{513}{subsection.28.6.1}
\contentsline {section}{\numberline {28.7}I\discretionary {-}{}{}F\discretionary {-}{}{}F\discretionary {-}{}{}T\discretionary {-}{}{}S\discretionary {-}{}{}H\discretionary {-}{}{}I\discretionary {-}{}{}F\discretionary {-}{}{}T Inverse Shift F\discretionary {-}{}{}F\discretionary {-}{}{}T Output}{514}{section.28.7}
\contentsline {subsection}{\numberline {28.7.1}Usage}{514}{subsection.28.7.1}
\contentsline {section}{\numberline {28.8}I\discretionary {-}{}{}N\discretionary {-}{}{}V Invert Matrix}{514}{section.28.8}
\contentsline {subsection}{\numberline {28.8.1}Usage}{514}{subsection.28.8.1}
\contentsline {subsection}{\numberline {28.8.2}Example}{514}{subsection.28.8.2}
\contentsline {section}{\numberline {28.9}L\discretionary {-}{}{}U L\discretionary {-}{}{}U Decomposition for Matrices}{515}{section.28.9}
\contentsline {subsection}{\numberline {28.9.1}Usage}{515}{subsection.28.9.1}
\contentsline {subsection}{\numberline {28.9.2}Example}{515}{subsection.28.9.2}
\contentsline {section}{\numberline {28.10}Q\discretionary {-}{}{}R Q\discretionary {-}{}{}R Decomposition of a Matrix}{517}{section.28.10}
\contentsline {subsection}{\numberline {28.10.1}Usage}{517}{subsection.28.10.1}
\contentsline {section}{\numberline {28.11}S\discretionary {-}{}{}V\discretionary {-}{}{}D Singular Value Decomposition of a Matrix}{518}{section.28.11}
\contentsline {subsection}{\numberline {28.11.1}Usage}{518}{subsection.28.11.1}
\contentsline {subsection}{\numberline {28.11.2}Internals}{518}{subsection.28.11.2}
\contentsline {subsection}{\numberline {28.11.3}Examples}{518}{subsection.28.11.3}
\contentsline {chapter}{\numberline {29}Type Conversion Functions}{521}{chapter.29}
\contentsline {section}{\numberline {29.1}B\discretionary {-}{}{}I\discretionary {-}{}{}N2\discretionary {-}{}{}D\discretionary {-}{}{}E\discretionary {-}{}{}C Convert Binary String to Decimal}{521}{section.29.1}
\contentsline {subsection}{\numberline {29.1.1}U\discretionary {-}{}{}S\discretionary {-}{}{}A\discretionary {-}{}{}G\discretionary {-}{}{}E}{522}{subsection.29.1.1}
\contentsline {subsection}{\numberline {29.1.2}Example}{522}{subsection.29.1.2}
\contentsline {section}{\numberline {29.2}B\discretionary {-}{}{}I\discretionary {-}{}{}N2\discretionary {-}{}{}I\discretionary {-}{}{}N\discretionary {-}{}{}T Convert Binary Arrays to Integer}{522}{section.29.2}
\contentsline {subsection}{\numberline {29.2.1}Usage}{522}{subsection.29.2.1}
\contentsline {subsection}{\numberline {29.2.2}Example}{522}{subsection.29.2.2}
\contentsline {subsection}{\numberline {29.2.3}Tets}{523}{subsection.29.2.3}
\contentsline {section}{\numberline {29.3}C\discretionary {-}{}{}A\discretionary {-}{}{}S\discretionary {-}{}{}T Typecast Variable to Specified Type}{523}{section.29.3}
\contentsline {subsection}{\numberline {29.3.1}Usage}{523}{subsection.29.3.1}
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\contentsline {chapter}{\numberline {39}Visualization Toolkit Parallel Classes}{2001}{chapter.39}
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