Units »

Quantity — represents a value associated with a unit

UnitConvert — convert between different units and unit systems

QuantityMagnitude — give the value associated with a quantity

QuantityUnit — give the unit associated with a quantity

CompatibleUnitQ — test whether multiple quantities are compatible

CommonUnits — convert a list of quantities to a common unit

UnitSimplify — convert to simpler units

TargetUnits   ▪ IndependentUnit   ▪ QuantityForm   ▪ QuantityQ

New in String Manipulation and Comparison »

StringRotateLeft — cycles the characters in a string to the left

StringRotateRight — cycles the characters in a string to the right

Descriptive Statistics – Dependency Measures »

SpearmanRho — Spearman's rank correlation for data and distributions

KendallTau — Kendall's rank correlation for data and distributions

BlomqvistBeta   ▪ GoodmanKruskalGamma   ▪ HoeffdingD   ▪ PillaiTrace   ▪ WilksW

Hypothesis Tests – Independence Tests »

IndependenceTest — test whether two vectors are independent

CorrelationTest — test whether two vectors are uncorrelated

PearsonCorrelationTest   ▪ SpearmanRankTest   ▪ KendallTauTest   ▪ HoeffdingDTest   ▪ GoodmanKruskalGammaTest   ▪ BlomqvistBetaTest   ▪ PillaiTraceTest

New Parametric Distributions

HypoexponentialDistribution — hypoexponential distribution

VarianceGammaDistribution — variance gamma distribution

HyperexponentialDistribution   ▪ CoxianDistribution   ▪ MeixnerDistribution   ▪ TsallisQExponentialDistribution   ▪ TsallisQGaussianDistribution   ▪ LogMultinormalDistribution

Derived Distributions »

SplicedDistribution — splicing several distributions such as different body and tail

CompoundPoissonDistribution — Poisson distribution with given jump size distribution

OrderDistribution — generalized to different and multivariate distributions

New Data Models

EventData — censored (left, right, interval) and truncated data

WeightedData — weighted data

Mean — descriptive statistics works for censored and weighted data

EstimatedDistribution — parametric distribution estimation from censored data

EmpiricalDistribution — nonparametric distributions from censored data

Survival Analysis »

SurvivalModelFit — survival functions with confidence bands from censored data

CoxModelFit — Cox proportional hazards model from censored data

LogRankTest — hypothesis test for equal hazard rates

Reliability Modeling and Analysis »

ReliabilityDistribution — reliability block diagram model for a system

FailureDistribution — fault tree model for a system

StandbyDistribution — standby reliability distribution (cold, hot, ...)

BirnbaumImportance — measure to pinpoint the subsystem to improve for reliability

StructuralImportance   ▪ BarlowProschanImportance   ▪ ImprovementImportance   ▪ RiskAchievementImportance   ▪ RiskReductionImportance   ▪ CriticalityFailureImportance   ▪ CriticalitySuccessImportance   ▪ FussellVeselyImportance

Random Processes »

RandomFunction — simulate a random process

TemporalData — represent one or several time series data

EstimatedProcess — process estimated from time series data

SliceDistribution — distribution for a time slice of a random process

StationaryDistribution   ▪ CovarianceFunction   ▪ ...

Parametric Processes »

RandomWalkProcess   ▪ PoissonProcess   ▪ WienerProcess   ▪ ...

Finite Markov Processes »

DiscreteMarkovProcess   ▪ ContinuousMarkovProcess   ▪ ...

Queueing Processes »

QueueingProcess   ▪ QueueingNetworkProcess   ▪ ...

Time Series Processes »

ARMAProcess   ▪ ARIMAProcess   ▪ ...

Stochastic Differential Equation Processes »

ItoProcess   ▪ StratonovichProcess   ▪ ...

Differential Equations with Events »

WhenEvent — discrete actions in differential equations when an event occurs

NDSolve — now supports differential equations with events

NDSolveValue   ▪ DiscreteVariables

Differential Equations with Parameters

ParametricNDSolveValue — solve differential equations depending on parameters

ParametricNDSolve   ▪ ParametricFunction

Differential Algebraic Equations

NDSolve — can now solve high-index DAEs

NDSolveValue   ▪ ParametricNDSolve   ▪ ParametricNDSolveValue

Graphs & Networks »

FindPostmanTour — find a tour that traverses each edge at least once

WeaklyConnectedComponents   ▪ EdgeConnectivity   ▪ VertexConnectivity   ▪ FindGraphPartition   ▪ PlanarGraphQ   ▪ ...

Social Network Analysis »

FindGraphCommunities — find communities within a graph

GlobalClusteringCoefficient — compute the global clustering coefficient

FindClique   ▪ FindKClique   ▪ FindKClan   ▪ FindKClub   ▪ LambdaComponents   ▪ LuccioSamiComponents   ▪ GraphReciprocity   ▪ MeanClusteringCoefficient   ▪ LocalClusteringCoefficient   ▪ DegreeCentrality   ▪ BetweennessCentrality   ▪ ...

Network Flows and Cuts »

FindMaximumFlow — find the maximum flow from a source vertex to a target vertex

FindMinimumCostFlow — find the minimum cost flows

FindMinimumCut — find the minimum cut for a graph

OptimumFlowData   ▪ FindEdgeCut   ▪ FindVertexCut   ▪ ...

Random Graphs »

GraphPropertyDistribution — automatically compute properties of random graphs

SpatialGraphDistribution — higher-performance random graph generation

Control Systems

PIDTune — automatic design of PID controllers

Models with Time Delays »

SystemsModelDelay — represent delays in state-space and transfer-function models

TransferFunctionModel   ▪ StateSpaceModel   ▪ SystemsModelDelayApproximate   ▪ SmithDelayCompensator   ▪ ...

Models with Algebraic Constraints »

DescriptorStateSpace — whether to use descriptor state-space representation

StateSpaceModel   ▪ KroneckerModelDecomposition   ▪ ...

Fast Symbolic Linear and Polynomial Algebra

LinearSolve — fast methods for sparse symbolic and exact systems

Expand — fast methods for polynomials with numeric coefficients

NullSpace   ▪ MatrixRank   ▪ Det   ▪ Subresultants   ▪ PolynomialExtendedGCD

New Polynomial Functions

SubresultantPolynomials   ▪ SubresultantPolynomialRemainders

New Matrix Functions

MatrixLog — matrix log function

MatrixFunction — matrix function for a general function

New Algebraic Numbers

CubeRoot — real cube root

Surd — real ^th root

Vector Calculus »

Grad   ▪ Div   ▪ Curl   ▪ Laplacian

Coordinate Systems

CoordinateChartData — properties of coordinate systems

TransformedField — transform a field between coordinate systems

CoordinateTransform   ▪ CoordinateTransformData

Symbolic Tensor Algebra »

Arrays — domain of arrays with given properties

Matrices   ▪ Vectors

TensorRank   ▪ TensorDimensions   ▪ TensorSymmetry

TensorProduct   ▪ TensorContract   ▪ TensorTranspose   ▪ ...

Symmetries and Symmetrized Arrays

SymmetrizedArray — compact representation of arrays with symmetry

Symmetric   ▪ Antisymmetric

SymmetrizedIndependentComponents   ▪ SymmetrizedDependentComponents

New Built-in Legends »

Legended — display an expression with a legend

PlotLegends — option for adding legends to plots

LineLegend — styled lines and labels

PointLegend — styled markers and labels

SwatchLegend — styled swatches and labels

BarLegend — color bar and scale

LegendMarkers   ▪ LegendLayout   ▪ LegendLabel   ▪ ...

New Built-in Unit Visualization

TargetUnits — specify what units should be used

ListPlot — plot data with units

ListLinePlot   ▪ ListLogPlot   ▪ ListLogLogPlot   ▪ ListLogLinearPlot   ▪ ListPlot3D   ▪ ListContourPlot   ▪ ListDensityPlot   ▪ ArrayPlot   ▪ MatrixPlot   ▪ QuantilePlot   ▪ ProbabilityPlot   ▪ ProbabilityScalePlot

BarChart — chart data with units

BarChart3D   ▪ PieChart   ▪ PieChart3D   ▪ RectangleChart   ▪ RectangleChart3D   ▪ SectorChart   ▪ SectorChart3D   ▪ BubbleChart   ▪ BubbleChart3D   ▪ Histogram   ▪ Histogram3D   ▪ PairedHistogram   ▪ DensityHistogram   ▪ BoxWhiskerChart   ▪ DistributionChart

New Gauges »

AngularGauge — creates a gauge with values shown along a circular scale

HorizontalGauge — creates a gauge with values shown along a horizontal scale

VerticalGauge — creates a gauge with values shown along a vertical scale

ThermometerGauge — shows values on a thermometer

BulletGauge — shows values relative to reference values on a horizontal scale

ClockGauge — creates a clock for displaying time

GaugeLabels   ▪ GaugeMarkers   ▪ GaugeStyle   ▪ ...

New Volume Visualization

Raster3D — 3D array of volume elements

Other Improvements

Graphics3D — antialiasing support for Linux

PairedSmoothHistogram — new paired smooth density estimates

Histogram — improved computational aesthetics for rendering a large number of bins

TemporalData — directly supported in ListPlot , ListLinePlot , etc.

ColorData — several dozen new color schemes

New Import & Export Formats

"AgilentMicroarray" — biological microarray data (.txt)

"FASTQ" — molecular biology format (.fastq, .fq)

"FCS" — format for storing flow cytometry data (.fcs, .lmd)

"HIN" — HyperChem molecular data format (.hin)

"ICC" — color profile format (.icc, .icm)

"ICNS" — Macintosh icon package format (.icns)

"JCAMP-DX" — chemical spectroscopy format (.jdx, .dx, .jcm)

"OpenEXR" — theatrical film raster image format (.exr)

"SFF" — flowgram format for DNA sequences (.sff)

Updated Import & Export Formats

"CUR" — now supported by Export

"FITS" — import of binary tables, export of attributes

"HTML" — supports embedding of CDF

"ICO" — now supported by Export

"JPEG" — enhanced Exif and color profile support

"MIDI" — now supported by Import

"NB" — added support for cell style-based elements

"PBM" — improved support for various data formats

"PGM" — improved support for various data formats

"PNG" — added support for color profiles

"PNM" — improved support for various data formats

"TIFF" — added support for 3D images and color profiles

New in Date & Time »

DateRange — generate a list of dates

DatePlus — add or subtract days, weeks, etc. in a date list or string

DayRange — generate a list of days

DayPlus — add or subtract days

LeapYearQ — determine if a date is in a leap year

DayMatchQ — determine the day type

BusinessDayQ — determine if a day is a business day

DateDifference   ▪ DayRound   ▪ DayCount   ▪ CalendarData

New in Image Processing & Analysis »

Image3D — create a 3D image from an array of data or a list of images

Image3DSlices — slice through a 3D image in each dimension

ImageFileApply , ImageFileFilter , ImageFileScan — out-of-core image processing

ImageMeasurements — returns specified properties of an image

ImageDistance — compute various difference measures between two images

ImageValuePositions , PixelValuePositions — positions of the specified pixel value

ReplaceImageValue   ▪ ReplacePixelValue   ▪ ColorReplace

ColorProfileData — representation for general color spaces

DominantColors — find a list of dominant colors

HistogramTransform , HistogramTransformInterpolation — equalize levels

GradientOrientationFilter   ▪ GaborFilter

NonlocalMeansFilter   ▪ FourierDCTFilter

FindFaces — find human faces in an image

ImageCorners   ▪ ImageFeatureTrack

GeodesicClosing   ▪ GeodesicOpening

ImagePeriodogram — squared magnitude of the image Fourier transform

New in Signal Processing »

RecurrenceFilter — compute the response of an IIR filter

LowpassFilter   ▪ HighpassFilter   ▪ BandpassFilter   ▪ BandstopFilter   ▪ ...

LeastSquaresFilterKernel   ▪ FrequencySamplingFilterKernel   ▪ EquirippleFilterKernel

ButterworthFilterModel   ▪ EllipticFilterModel   ▪ Chebyshev1FilterModel   ▪ ...

TransferFunctionTransform — convert between different types of analog filters

KaiserWindow   ▪ DirichletWindow   ▪ HannWindow   ▪ HammingWindow   ▪ ...

ListZTransform   ▪ ListFourierSequenceTransform   ▪ ...

FourierMatrix   ▪ FourierDCTMatrix   ▪ FourierDSTMatrix   ▪ HadamardMatrix

Spectrogram   ▪ Periodogram   ▪ ImagePeriodogram   ▪ ...

Upsample   ▪ Downsample

WolframAlpha — access to Wolfram|Alpha data

CoordinateChartData — standard coordinate system properties

GraphData — updated with additional graphs and properties

FiniteGroupData — updated with additional groups and properties

ColorData — several dozen new color schemes

ExampleData — updated with additional example datasets

New Controls

ListPicker — a list of choices

Cell Handles

Cells — a list of cells in a given notebook (CellObject objects)

SelectedCells   ▪ EvaluationCell

Stream Operations

OpenRead (modified) — open an input stream from a data source such as a URL

Get (modified) — read and evaluate Wolfram Language input from a stream

DefineInputStreamMethod — define a custom input stream method

DefineOutputStreamMethod — define a custom output stream method

Read   ▪ Find   ▪ FindList   ▪ InputStream   ▪ OutputStream

RLink »

InstallR — launch the R runtime and connect it to the Wolfram System session

UninstallR — uninstall the R runtime

REvaluate — fetch the contents of a document with a background task

RSet — fetch the contents of a document with a background task

RFunction — fetch the contents of a document with a background task

RVector   ▪ RList   ▪ RObject   ▪ RCode   ▪ RAttributes   ▪ REnvironment

System Environment

GetEnvironment — get the setting for an operating system environment variable

SetEnvironment — set a value for an operating system environment variable

Text-Based Interface

Improved terminal interface with support of command history and cursor movements »