New in 10.0: Symbolic & Numeric Computation

(OrangeLink[Geometric Computation, paclet:guide/GeometricComputation])

Geometric computation framework for modeling and computing with geometric regions.

(OrangeLink[Plane Geometry », paclet:guide/PlaneGeometry])

(OrangeLink[Solid Geometry », paclet:guide/SolidGeometry])

(OrangeLink[Properties and Measures », paclet:guide/GeometricPropertiesAndMeasures])

(RefLink[RegionNearest, paclet:ref/RegionNearest]) — find the nearest point in a region

(OrangeLink[Solvers over Regions », paclet:guide/GeometricSolvers])

(RefLink[Integrate, paclet:ref/Integrate]), (RefLink[NIntegrate, paclet:ref/NIntegrate]) — integrate over regions

(RefLink[NDSolve, paclet:ref/NDSolve]) — solve partial differential equations over regions

(OrangeLink[Special Regions », paclet:guide/GeometricSpecialRegions])

(RefLink[Ball, paclet:ref/Ball]) — a ball given by center and radius

Formula Regions

(RefLink[ImplicitRegion, paclet:ref/ImplicitRegion]) — a region given by combinations of inequalities and equalities

(RefLink[ParametricRegion, paclet:ref/ParametricRegion]) — a region given by parametric functions

(OrangeLink[Mesh Regions », paclet:guide/MeshRegions])

(RefLink[MeshRegion, paclet:ref/MeshRegion]) — a region specified by a collection of mesh cells

(RefLink[BoundaryMeshRegion, paclet:ref/BoundaryMeshRegion]) — a region boundary specified by a collection of mesh cells

(OrangeLink[Data Regions », paclet:guide/MeshRegions])

(RefLink[DelaunayMesh, paclet:ref/DelaunayMesh]) — a Delaunay triangulation mesh constructed from points

(OrangeLink[Region Converters », paclet:guide/MeshRegions])

(RefLink[DiscretizeGraphics, paclet:ref/DiscretizeGraphics]), (RefLink[BoundaryDiscretizeGraphics, paclet:ref/BoundaryDiscretizeGraphics]) — discretize 2D or 3D graphics

(RefLink[DiscretizeRegion, paclet:ref/DiscretizeRegion]), (RefLink[BoundaryDiscretizeRegion, paclet:ref/BoundaryDiscretizeRegion]) — discretize a region

(OrangeLink[Derived Regions », paclet:guide/DerivedRegions])

(RefLink[RegionUnion, paclet:ref/RegionUnion]) — the union of regions

(RefLink[TransformedRegion, paclet:ref/TransformedRegion]) — a region as the image of a transformation

Inactive Operators

(RefLink[Inactive, paclet:ref/Inactive]) — new inactive operator for working with formal operations

(RefLink[Inactivate, paclet:ref/Inactivate]) — inactivate parts of expressions

Enhanced Calculus

(RefLink[DSolveValue, paclet:ref/DSolveValue]), (RefLink[RSolveValue, paclet:ref/RSolveValue]) — new functions that can directly return functions of solutions

(RefLink[DSolve, paclet:ref/DSolve]) — now solves delay differential and hybrid differential equations

(RefLink[Sum, paclet:ref/Sum]) — new algorithms for functional telescoping, multiple sums, and special functions

(RefLink[Product, paclet:ref/Product]) — new algorithms for functional telescoping

(RefLink[DifferenceDelta, paclet:ref/DifferenceDelta]) — new results for differences of special functions

(RefLink[DiscreteRatio, paclet:ref/DiscreteRatio]) — new results for ratios of special functions

Enhanced Algebraic Computation

(RefLink[NSolve, paclet:ref/NSolve]) — new homotopy-based algorithm for fast solution of polynomial systems

(RefLink[Reduce, paclet:ref/Reduce]), (RefLink[Solve, paclet:ref/Solve]), (RefLink[FindInstance, paclet:ref/FindInstance]) — new fast solving over the reals

Function Properties

(RefLink[FunctionPeriod, paclet:ref/FunctionPeriod]) — find the period of functions over the reals, integers, and complexes

(RefLink[FunctionDomain, paclet:ref/FunctionDomain]) — find the domain of a function

(RefLink[FunctionRange, paclet:ref/FunctionRange]) — find the range of a function

Vector Analysis

(RefLink[ArcLength, paclet:ref/ArcLength]) — length

(RefLink[ArcCurvature, paclet:ref/ArcCurvature]) — curvature

(RefLink[FrenetSerretSystem, paclet:ref/FrenetSerretSystem]) — generalized curvatures and associated basis

(OrangeLink[Linear Algebra », paclet:guide/MatrixPredicates])

(RefLink[PositiveSemidefiniteMatrixQ, paclet:ref/PositiveSemidefiniteMatrixQ]) — new and improved matrix predicates

New Special Functions

(RefLink[LogisticSigmoid, paclet:ref/LogisticSigmoid]) — the logistic function

(RefLink[CantorStaircase, paclet:ref/CantorStaircase]) — the Cantor ternary function

(OrangeLink[Nonlinear Control Systems », paclet:guide/NonlinearControlSystems])

(RefLink[AffineStateSpaceModel, paclet:ref/AffineStateSpaceModel]) — affine model x'==a(x)+b(x) u and y==c(x)+d(x)u

(RefLink[FeedbackLinearize, paclet:ref/FeedbackLinearize]) — linearization through nonlinear feedback and state transformation

(RefLink[AsymptoticOutputTracker, paclet:ref/AsymptoticOutputTracker]) — tracker with state feedback

Probability & Statistics

(RefLink[AutocorrelationTest, paclet:ref/AutocorrelationTest]) — test for autocorrelation in data

(OrangeLink[Time Series Processes », paclet:guide/TimeSeriesProcesses])

(RefLink[TimeSeriesModelFit, paclet:ref/TimeSeriesModelFit]) — automatic fitting, diagnostics, and forecasting for time series

(RefLink[ARCHProcess, paclet:ref/ARCHProcess]), (RefLink[GARCHProcess, paclet:ref/GARCHProcess]) — new classes of time series processes

(RefLink[ARProcess, paclet:ref/ARProcess]), (RefLink[ARMAProcess, paclet:ref/ARMAProcess]) — full support for vector processes

Markov Processes

(RefLink[HiddenMarkovProcess, paclet:ref/HiddenMarkovProcess]) — hidden Markov process with discrete or continuous emissions

(RefLink[FindHiddenMarkovStates, paclet:ref/FindHiddenMarkovStates]) — hidden state decoding (Viterbi decoding etc.)

(OrangeLink[Parametric Processes », paclet:guide/ParametricRandomProcesses])

(RefLink[TransformedProcess, paclet:ref/TransformedProcess]) — transformations of random processes

(RefLink[WhiteNoiseProcess, paclet:ref/WhiteNoiseProcess]) — new and improved capabilities for parametric processes