New in 10.0: Higher Mathematical Computation

 

ReferenceReference

Linear Algebra »

PositiveSemidefiniteMatrixQ new and improved matrix predicates

NormalMatrixQ  ▪  OrthogonalMatrixQ  ▪  SquareMatrixQ  ▪  ...

New Special Functions

LogisticSigmoid the logistic function

CantorStaircase the Cantor ternary function

MinkowskiQuestionMark  ▪  ScorerHi  ▪  ScorerGi  ▪  FresnelF  ▪  FresnelG  ▪  RiemannXi  ▪  DirichletBeta  ▪  DirichletEta  ▪  DirichletLambda  ▪  Fibonorial  ▪  AlternatingFactorial  ▪  FareySequence

Vector Analysis

ArcLength length

ArcCurvature curvature

FrenetSerretSystem generalized curvatures and associated basis

Enhanced Calculus

DSolveValue, RSolveValue new functions that can directly return functions of solutions

DSolve now solves delay differential and hybrid differential equations

Sum new algorithms for functional telescoping, multiple sums, and special functions

Product new algorithms for functional telescoping

DifferenceDelta new results for differences of special functions

DiscreteRatio new results for ratios of special functions

Probability & Statistics

AutocorrelationTest test for autocorrelation in data

Time Series Processes »

TimeSeriesModelFit automatic fitting, diagnostics, and forecasting for time series

ARCHProcess, GARCHProcess new classes of time series processes

ARProcess, ARMAProcess full support for vector processes

MAProcess  ▪  SARMAProcess  ▪  FARIMAProcess

Markov Processes

HiddenMarkovProcess hidden Markov process with discrete or continuous emissions

FindHiddenMarkovStates hidden state decoding (Viterbi decoding etc.)

Parametric Processes »

TransformedProcess transformations of random processes

WhiteNoiseProcess new and improved capabilities for parametric processes

PoissonProcess  ▪  WienerProcess  ▪  GeometricBrownianMotionProcess  ▪  ...