Summary of Math Library v3.02 for NOS 2.x1. General Math1.1 Numberse           The natural number. 2.71828182846euler       The Euler-Mascheroni number. 0.577215664902i           The positive square root of negative one. iinfinite    The largest number for NOS 2^1024.pi          The circle ratio.  3.14159265359primes      Table of the first 2585 prime numbers1.2 General Math RoutinesName                    Ability Description________________        ______  ____________________________|+|                     C M R P Adds two numbers|-|                     C M R P Subtracts a number from another|*|                     C M R P Multiplies two numbers|/|                     C M R   Divides one number into another|=|                     C M R P Tests two numbers for equality|<>|                    C M R P Tests two numbers for inequalityabs                     C M R   Magnitude of a numberacos                    C M R   Arccosine of a numberacosh                   C M R   Hyperbolic arccosine of a numberAirySolution            C   R   Airy solution to Bessel's EquationArrayAve                C M R   Arithmetic average of arrayArrayMax                  M R   Maximum in arrayArrayMin                  M R   Minimum in arrayArrayRemoveDuplicates   C M R   Removes duplicates from arrayasin                    C M R   Arcsine of a numberasinh                   C M R   Hyperbolic arcsine of a numberAssocLegendre           C   R   Associated Legendre functionsatan                    C M R   Arctangent of a numberatan2                   C M R   Arctangent of a y/x in correct quadrantatanh                   C M R   Hyperbolic arctangent of a numberBaseConv                  M R   Converts to and from base 10BernoulliNumber                 Bernoulli numberBernoulliPolynomial     C   R   Bernoulli function at a numberBessel                  C   R   Bessel FunctionBesselSolution          C   R   Bessel and Neumann solution w/derivsBeta                    C M R   Beta functionBinCoeff                C M R   Binomial CoefficientChebyshevDerivative         R   Derivative of Chebyshev polynomialChebyshevEval               R   Chebyshev polynomial evaluationChebyshevFit                R   Chebyshev polynomial function approximationChebyshevIntegral           R   Integral of Chebyshev polynomialCleanComplex            C M R   Returns real if z.i=0Cos                     C M R   Cosine of a numberCosh                    C M R   Hyperbolic cosine of a numberCross                   C   R   Cross product of three-vectorCurl                            Curl of vector of functionsDerivative              C M   P Derivative of function at valueDirichletBeta           C M R   Infinite power sum BetaDirichletEta            C M R   Infinite power sum EtaDirichletLambda         C M R   Infinite power sum LambdaDivergence                      Divergence of vector of functionsErf                     C M R   Error function, corrects a NOS 2.0 errorErfC                    C M R   Complimentary Error functionEulerNumber                     Euler numberEulerPolynomial         C   R   Euler function at a numberExp                     C M R   Exponential of a numberfabs                    C M R   Magnitude of a numberFactorial               C M R   Factorial functionFloorMod                        Subtracts until in rangeGamma                   C M R   Gamma functionGaussJordan             C M R   Simulataneous equations solvingGradient                        Gradient of a functionHankelSolution          C   R   Hankel solution to Bessel's EquationIncompleteBeta              R   Incomplete Beta functionIncompleteGamma             R   Incomplete Gamma functionInfimum                         Minimum of function in rangeIntegral                  M   P Integral of function between rangeIsComplex               C M R   Tests if a number is a complex typeIsHermitian             C M R   Tests if a matrix is HermitianIsOrthogonal            C M R   Tests if a matrix is orthogonalIsRational              C M R   Tests if a number is a fractionIsSymmetric             C M R   Tests if a matrix is symmetricIsSkewSymmetric         C M R   Tests if a matrix is skew symmetricIsUnitary               C M R   Tests if a matrix is UnitaryLaplacian                   R   Laplacian differential operatorLBeta                   C M R   Log of Beta functionLBinCoeff               C M R   Log of BinCoeff functionLegendrePolynomial      C   R   Legendre polynomialsLGamma                  C M R   Log of Gamma functionLinearRegression        C M R   General Linear Regression of paired dataLog                     C M R   Natural log of a numberLUDecomp                C M R   Lower-Upper decomposition of matrixLUBacksub               C M R   LU backsubstitution equation solvingMakeComplex             C M R   Use this to make a complexMakePolynomial          C M R   Use this to initialize a polynomialMakeRational              M     Use this to make a rational numberModifiedBessel          C   R   Modified Bessel FunctionModifiedNeumann         C   R   Modified Neumann FunctionModifiedBesselSolution  C   R   Modified Bessel,Neumann w/derivativesNegate                  C M R   Negates a numberNeumann                 C   R   Neumann functionPFE                           P Polynomial fraction expansionPiDigit                         Pi digit extraction for various basesPolyGamma               C   R   Derivatives of LGammaPolyLogMod              C   R   Modulus of PolyLog functionPolyNom                 C M R   Evaluates polynomial at a numberPolynomialFit           C   R   Fit x and y data to any polynomialPolynomialToChebyshev       R   Converts polynomial to Chebyshev polynomialPolynomialZeroes        C   R   Zeroes of a polynomialPow                     C M R   PowerPowMod                  C   R   Modulus of Pow functionQGaussIntegral                  Gauss-Legendre Quadrature integrationReduceRational            M R   Reduce rational to smallest fractionRemQuo                  C   R P Remainder and quotient of a divisionRiemannSiegelTheta      C   R   Riemann-Siegel Theta functionRiemannSiegelZ          C   R   Riemann-Siegel Z functionRiemannZeta             C   R   Riemann Zeta functionRootSearch              C       Finds the anser to transcendental equationsRound                   C M R   Rounds to the nearest integerRoundDec                C M R   Rounds at a decimal placeRoundSigFigs            C M R   Rounds to some number of significant figuresSin                     C M R   Sine of a numberSinh                    C M R   Hyperbolic sine of a numberSinSeries               C M R   sine series summationSphericalBessel         C   R   Spherical Bessel FunctionSphericalNeumann        C   R   Spherical Neumann FunctionSphericalBesselSolution C   R   Spherical Bessel,Neumann w/derivativesSqrt                    C M R   Square root of a numberSquare                  C M R   Square of a numberSupremum                        Maximum of function in rangeSVDecomp                C M R   Singular Value decomposition of matrixSVBacksub               C M R   SV backsubstitution equation solvingSymbolicDerivative        M R P Symbolic derivativeSymbolicIntegral          M R P Symbolic integralSymbolicEval              M R P Evaluation of function objectsTan                     C M R   Tangent of a numberTanh                    C M R   Hyperbolic tangent of a numberUnitNormal                      Unit normal vector for a functionnote: Functions will handle C = Complex, M = Matrix, R = Rational, P = Polynomial2. Statistical Routines2.1 General Statistical routinesName                    Description_________               ____________________________SUniform                standard Uniform random number generatorSNormal                 standard Normal random number generatorSGamma                  standard Gamma random number generatorChoose                  picks N numbers from a set of numbersArrangements            finds how many arrangementsEstimateMode            estimates the distibution peak from dataEstimateMedian          estimates the distibution median from dataEstimateDiscreteness    estimates the discreteness of the dataEstimateProbability     estimates the probability at each data pointEstimateCumulation      estimates the cumulation at each data point2.2  Distribution propertiesName            Description_________       ____________________________name            name of the distributiontype            'continuous or 'discreterange           the normalized range where the distribution is valid2.3  Distribution functionsName                    Description_________               ____________________________Test                    tests data for fitnessGroupPick               picks N numbers from distributionNotWithinRange          tests a number if within rangeNormalize               normalizes a numberUnnormalize             reverses normalization of a numberCheckParameters         tests parameters if validGenerator               generates a random number for distributionProbability             probability functionCumulation              cumulative functionInverseCumulation       inverse of Cumulative functionMean                    Expectation valueMedian                  median valueMode                    peak of distributionStandardDeviation       standard deviationEstimator               estimates parameters from dataHazard                  hazard function at a number2.4 Continuous DistributionsName            Alternate Name_________       ____________________________BetaCauchyChiSquaredDelta           Dirac DeltaExponentialGammaGumbel          Extreme-valueLogisticLogNormalMassiveBoson    Bose-Einstein (1/2)MassiveFermion  Fermi-Dirac (1/2)MasslessBoson   Bose-Einstein (2)MasslessFermion Fermi-Dirac (2)MaxwellNormal          GaussianParetoPT5             Pearson Type V, Inverted GammaPT6             Pearson Type VIRayleighSnedecor        Snedecor's FStudent         Student's tUniformvonMisesWeibull2.5  Discrete DistributionsBernoulliBinomialDiscreteUniformGeometricHypergeometricLogarithmicNegativeBinomialPoisson