New in 10.0: Higher Mathematical Computation
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 ▪ ...