Robustness & Error Handling

Confirm — evaluate an expression, confirming that no failure is generated

Enclose — evaluate an expression, stopping and returning a failure object if a failure occurs

ConfirmBy  ▪  ConfirmMatch  ▪  ConfirmQuiet  ▪  ConfirmAssert

WithCleanup — evaluate an expression with guaranteed initialization and cleanup

ArgumentsOptions — separate inputs into positional and optional arguments

CheckArguments — check that the number of arguments is correct

EchoEvaluation  ▪  EchoLabel  ▪  EchoTiming  ▪  QuietEcho

Functional Programming

FoldWhile, FoldWhileList — new functional programming constructs

x//=f — apply a function to a variable and update its value (ApplyTo)

x|->f — new syntax for Function with named variables

Combinatory Terms

Application () — left-associative functional application

CombinatorK, CombinatorS — fundamental combinators

CombinatorB  ▪  CombinatorC  ▪  CombinatorI  ▪  CombinatorW  ▪  CombinatorY

Programming Utilities

RandomGeneratorState — representations of the state a of pseudorandom generator

$RandomGeneratorState — the current state of the active pseudorandom generator

ValueQ (updated) — specify the method used to determine the presence of values

Date & Time

CalendarData (updated) — major update and support for 37 new calendars

LeapVariant — mark leap months, leap weeks or other leap elements of a date

DateSelect — select dates from intervals or lists

Array Manipulation

ArrayReduce — reduce an array by applying a function along a specified dimension

Algebra

Solve (updated) — now takes Assumptions options

CylindricalDecompositionFunction — efficient representation of cylindrical decompositions for computation

CylindricalDecomposition  (updated)   ▪  Reduce  (updated)   ▪  FindInstance  (updated)   ▪  ...

Logic

AxiomaticTheory (updated) — new theories and properties

Asymptotics

AsymptoticExpectation — asymptotic expectations

AsymptoticProbability — asymptotic probability

AsymptoticIntegrate (updated) — more methods, including steepest descent

Calculus

DSolve (updated) — more capable ODE and PDE solvers

InverseLaplaceTransform (updated) — more capable and support for numeric transform

LaplaceTransform  (updated)   ▪  DSolveValue  (updated) 

Optimization with Parameters & Uncertainty

ParametricConvexOptimization — optimization for all possible parameter values

RobustConvexOptimization — optimization that can be achieved for all uncertain parameters

Convex Optimization »

ConvexOptimization — general convex optimization

LinearOptimization (updated) — now supports complex variables

QuadraticOptimization  (updated)   ▪  SemidefiniteOptimization  (updated)   ▪  ...

Injective, Surjective and Bijective Functions »

FunctionInjective — test whether a function is injective or one to one

FunctionSurjective  ▪  FunctionBijective

Positive, Increasing and Convex Functions »

FunctionSign — the sign of a function (positive, negative, …)

FunctionMonotonicity  ▪  FunctionConvexity

Continuous, Analytic and Meromorphic Functions »

FunctionContinuous — test whether a function is continuous

FunctionAnalytic  ▪  FunctionMeromorphic

Discontinuities and Singularities of Functions »

FunctionDiscontinuities — find the discontinuities of a function

FunctionSingularities — find the singularities of a function

Lamé Functions

LameC — Lamé functions

LameS  ▪  LameCPrime  ▪  LameSPrime  ▪  LameEigenvalueA  ▪  LameEigenvalueB

Elliptic Functions

JacobiEpsilon — Jacobi epsilon function

JacobiZN — Jacobi zeta function

EllipticK  (updated)   ▪  EllipticE  (updated)   ▪  EllipticF  (updated)   ▪  EllipticPi  (updated)   ▪  JacobiZeta  (updated) 

JacobiSN  (updated)   ▪  JacobiCN  (updated)   ▪  JacobiDN  (updated)   ▪  JacobiCD  (updated)   ▪  JacobiCS  (updated)   ▪  JacobiDC  (updated)   ▪  JacobiDS  (updated)   ▪  JacobiNC  (updated)   ▪  JacobiND  (updated)   ▪  JacobiNS  (updated)   ▪  JacobiSC  (updated)   ▪  JacobiSD  (updated)   ▪  JacobiAmplitude  (updated) 

Holonomic Functions

DifferentialRoot (updated) — continuation-based numerical evaluation

DifferenceRoot (updated) — divide-and-conquer-based numerical evaluation

Basic Building Blocks

Partial differential equations of the form

DiffusionPDETerm — model diffusion with

ConvectionPDETerm — model convection with

ReactionPDETerm — model reaction with

SourcePDETerm — model a source with

ConservativeConvectionPDETerm — model conservative convection with

DerivativePDETerm — model a derivative of a term with

Named Partial Differential Equation Terms

LaplacianPDETerm — model with

PoissonPDEComponent — model with

HelmholtzPDEComponent — model with

WavePDEComponent — model with

Acoustic PDE Components »

AcousticPDEComponent — model acoustics in the time or frequency domain

AcousticAbsorbingValue  ▪  AcousticImpedanceValue  ▪  AcousticNormalVelocityValue  ▪  AcousticPressureCondition  ▪  AcousticRadiationValue  ▪  AcousticSoundHardValue  ▪  AcousticSoundSoftCondition

Acoustics in the Time Domain — monograph about modeling acoustics in the time domain

Acoustics in the Frequency Domain — monograph about modeling acoustics in the frequency domain

Heat Transfer PDE Components »

HeatTransferPDEComponent — model heat transfer

HeatFluxValue  ▪  HeatInsulationValue  ▪  HeatOutflowValue  ▪  HeatRadiationValue  ▪  HeatSymmetryValue  ▪  HeatTemperatureCondition  ▪  HeatTransferValue

Heat Transfer — monograph about modeling heat transfer

Heat Transfer Model Verification — test suite with heat transfer model verification

Mass Transport PDE Components »

MassTransportPDEComponent — model mass transport

MassConcentrationCondition  ▪  MassFluxValue  ▪  MassImpermeableBoundaryValue  ▪  MassOutflowValue  ▪  MassSymmetryValue  ▪  MassTransferValue

Mass Transport — monograph about modeling mass transport

Spatial Point Collections »

SpatialPointData — create and represent spatial point data with observation region

SpatialBinnedPointData — represent aggregated point data with any region partition

ResourceData — spatial point datasets from a variety of sources

RandomPointConfiguration — simulate a point process to give a point collection

SpatialPointSelect  ▪  SpatialObservationRegionQ  ▪  RipleyRassonRegion

Location Measures

Mean  ▪  SpatialMedian  ▪  CentralFeature

Density Measures

MeanPointDensity — average number of points per area, volume, etc.

PointDensity — varying point density function

HistogramPointDensity  ▪  SmoothPointDensity  ▪  PointDensityFunction

Counting Measures

PointCountDistribution — the distribution of point counts for any region

Homogeneity Measures »

RipleyK — expected number of points within distance r of each point

EmptySpaceF — probability of finding another point within distance r of any location

NearestNeighborG — probability of finding another point within distance r of a point

PairCorrelationG — probability density of finding another point at distance of a point

BesagL  ▪  SpatialJ  ▪  ...

Hypothesis Tests

SpatialRandomnessTest — test whether data is uniformly distributed

PointProcessFitTest — test whether data follows a point process

Spatial Point Processes »

RandomPointConfiguration — simulate a point process to give a point collection

EstimatedPointProcess — estimate a point process from spatial point configurations

PointProcessFitTest — test whether data follows a point process

FindPointProcessParameters  ▪  PointProcessParameterQ  ▪  PointProcessEstimator

Independent Point Processes

PoissonPointProcess — constant density function, definition of spatially random

InhomogeneousPoissonPointProcess — varying density function

BinomialPointProcess — uniform distribution of n points

Interaction Point Processes

HardcorePointProcess — hard-core with no point interaction within radius

StraussPointProcess — soft-core with limited point interaction within radius

StraussHardcorePointProcess  ▪  PenttinenPointProcess  ▪  DiggleGrattonPointProcess  ▪  DiggleGatesPointProcess  ▪  GibbsPointProcess

Clustered Point Processes

MaternPointProcess — cluster process with uniform (daughter) pattern in disk (isotropic)

ThomasPointProcess — cluster process with normal (daughter) pattern (isotropic)

CauchyPointProcess  ▪  VarianceGammaPointProcess  ▪  NeymanScottPointProcess

High-Dimensional Visualization

RadialAxisPlot — plots of high-dimensional data, aka radar plot etc.

ParallelAxisPlot — plots of high-dimensional data, aka parallel coordinates etc.

Array Visualization

ArrayPlot3D — ArrayPlot for rank-3 arrays

ComplexArrayPlot — ArrayPlot for complex rank-2 arrays

Geo Visualization

PointValuePlot — geo and regular plots of multiple values at points

GeoRegionValuePlot  (updated)   ▪  GeoListPlot  (updated) 

Vector Visualization

SliceVectorPlot3D (updated) — updated options and aesthetics

ListSliceVectorPlot3D  (updated)   ▪  StreamPlot  (updated)   ▪  ListStreamPlot  (updated)   ▪  GeoStreamPlot  (updated) 

Graphics

LinearGradientFilling — filling an area with a linear gradient color

RadialGradientFilling  ▪  ConicGradientFilling

GeoGraphics (updated) — major update to use vector graphics for crisp features and labels

Geo Primitives

GeoPolygon — a polygon on the surface of the Earth

GeoBoundary  ▪  GeoBoundsRegionBoundary

Convexity

ConvexHullRegion — the convex hull of any region

ConvexRegionQ — test whether a region is convex

ConvexPolygonQ  (updated)   ▪  ConvexPolyhedronQ  (updated)   ▪  ConvexHullMesh  (updated) 

Triangulations & Decompositions

TriangulateMesh (updated) — support for constrained and conforming triangulations

DelaunayMesh  (updated)   ▪  PolygonDecomposition  (updated)   ▪  PolyhedronDecomposition  (updated) 

DiscretizeRegion  (updated)   ▪  BoundaryDiscretizeRegion  (updated)   ▪  DiscretizeGraphics  (updated)   ▪  BoundaryDiscretizeGraphics  (updated) 

Robust Predicates

PositivelyOrientedPoints — test and condition for when points are positively oriented

CollinearPoints — test and condition for when points are collinear

NegativelyOrientedPoints  ▪  CoplanarPoints

Geometry & Graphics Formats

"X3D" (updated) — now supports Import and new import elements

"3DS"  (updated)   ▪  "BYU"  (updated)   ▪  "JVX"  (updated)   ▪  "LWO"  (updated)   ▪  "VTK"  (updated)   ▪  "RIB"  (updated) 

Geometric Scenes

GeometricScene (updated) — new user interface with interactivity and multistep scenes

GeometricStep — symbolic representation of a single step in a geometric scene

GeometricScene — entities representing notable theorems and constructions

Video Generation & Editing

VideoGenerator — generate video from images, audio and arbitrary functions

VideoSplit — split video at specific times

VideoDelete  ▪  VideoJoin  ▪  VideoCombine  ▪  VideoTranscode  ▪  VideoTrim  (updated) 

Video Processing & Analysis

VideoIntervals — find intervals of interest in a video

VideoMap  ▪  VideoMapList  ▪  VideoMapTimeSeries  ▪  AudioTrackApply

Video Options

GeneratedAssetLocation — the location of the persistent asset

$GeneratedAssetLocation  ▪  AudioTrackSelection  ▪  SubtitleTrackSelection  ▪  VideoTrackSelection

AnimatedImage — create and represent animated images from files or list of images

RandomImage  (updated)   ▪  LinearGradientImage  (updated)   ▪  RadialGradientImage  (updated)   ▪  ImageReflect  (updated) 

Face Analysis

FaceRecognize — recognize faces in an image based on a few samples

FindFaces  (updated)   ▪  FaceAlign  (updated) 

Visualization

ImageWaveformPlot  ▪  ImageVectorscopePlot

Audio »

Audio (updated) — new support for local and cloud objects, better optimized GUI

AudioCapture (updated) — better optimized GUI

AudioJoin (updated) — new support for sequence of audio objects

Neural Networks »

"ONNX" — support of export to ONNX format

FunctionLayer — net layer from a Wolfram Language function

CompiledLayer — net layer from arbitrary compilable code

RandomArrayLayer  ▪  PlaceholderLayer  ▪  ThreadingLayer  (updated)   ▪  NetArray  ▪  NetArrayLayer  (updated)   ▪  InputPorts  ▪  OutputPorts

Machine Learning »

ClassifierMeasurements (updated) — report panel, measurements from classifications and probability calibration

FeatureExtraction (updated) — graph and time series features

Classify  (updated)   ▪  DimensionReduction  (updated)   ▪  DimensionReduce  (updated)   ▪  FeatureExtract  (updated)   ▪  PredictorMeasurements  (updated)   ▪  PredictorFunction  (updated) 

Machine Learning Methods

"MultidimensionalScaling" — method for dimensionality reduction

"ClassDistributions" — method for classification

"Autoencoder" — updated and documented dimensionality reduction methods

"Isomap"  ▪  "Hadamard"  ▪  "LLE"  ▪  "TSNE"  ▪  "Linear"  ▪  "PrincipalComponentsAnalysis"  ▪  "LatentSemanticAnalysis"

Bio Sequence Representation

BioSequence — a string-based representation for chained biomolecules such as DNA

BioSequenceQ — test for a valid biomolecular sequence

Bio Sequence Conversion

BioSequenceTranscribe — transcribe a DNA sequence to RNA or the reverse

BioSequenceTranslate — translate a DNA/RNA sequence to peptides

BioSequenceComplement — get the complement of a DNA sequence (A↔T, C↔G)

BioSequenceReverseComplement  ▪  BioSequenceBackTranslateList  ▪  BioSequenceInstances  ▪  BioSequenceModify

Bio Sequence Comparison

SequenceAlignment (updated) — determine the alignment between two sequences

SmithWatermanSimilarity (updated) — count matches in the best local alignment

NeedlemanWunschSimilarity (updated) — count matches in the best global alignment

EditDistance  (updated)    ▪  DamerauLevenshteinDistance  (updated)    ▪  HammingDistance  (updated)  ▫ SimilarityRules  (updated)  

Bio Subsequence Computation

LongestCommonSequence (updated) — find the longest shared disjoint sequence

LongestCommonSequencePositions (updated) — find sequence positions

LongestCommonSubsequence  (updated)    ▪  LongestCommonSubsequencePositions  (updated)   ▪  Subsequences  (updated) 

Molecular Structure & Computation

MoleculeDraw — sketch a molecule and interpret it

Molecule  (updated)   ▪  MoleculeValue  (updated) 

FileFormatQ — check whether a file may be of a specific format

FileFormat  (updated)   ▪  Import  (updated)   ▪  ExtractArchive  (updated)   ▪  StringFormatQ  ▪  ByteArrayFormatQ  ▪  ImportedObject

Document Formats

"PDF" (updated) — significant performance improvement and many new elements

Archive Formats

"7z" — 7z archive format

"ISO"  ▪  "RAR"  ▪  "ZSTD"  ▪  "TAR"  (updated)   ▪  "ZIP"  (updated)   ▪  "GZIP"  (updated)   ▪  "BZIP2"  (updated) 

Tabular Formats

"XLS" (updated), "XLSX" (updated) — new support for datasets in export

Multimedia Formats

"MP4" (updated), "Ogg" (updated) — new support for datasets in export

Raster Formats

"HEIF" (updated) — new support for importing depth image

"DICOM"  (updated)   ▪  "JPEG"  (updated)   ▪  "PNG"  (updated)   ▪  "TIFF"  (updated)   ▪  "Raw"  (updated) 

Cryptography Formats

"PEM" — Privacy-Enhanced Mail format for storing cryptographic keys and certificates

Completely redesigned Cloud file browser for opening and saving files

Auto hyperlinking of URIs in text cells

Insert ▶ Hyperlink — redesigned interface for inserting and editing hyperlinks

Insert ▶ Inline TeX Input — type TeX into a notebook and automatically typeset it

AttachCell — attach a floating cell to content in a notebook window

Canvas — display a canvas that supports interactive free-form drawing

ClickToCopy — represent a button that copies its contents when clicked

TableView — new support for headers and alignments

TemplateBox — support for associations and controls

SecurityCertificate — representation of a public-key security certificate

$CryptographicEllipticCurveNames — list of supported elliptic curves for key generation

"PEM" — Privacy-Enhanced Mail format for storing cryptographic keys and certificates

GenerateAsymmetricKeyPair (updated), GenerateDigitalSignature (updated) — support for more elliptic curve algorithms

PrivateKey (updated), PublicKey (updated) — support for more elliptic curve algorithms

WolframDemonstration — interactive Demonstrations created with the Wolfram Language

Sequence Types & Genetic Codes

BioSequenceType— types of bio sequences ("DNA", "RNA", "Peptide", ...)

GeneticTranslationTable— translations between nucleic acids and amino acids

Physics

AtomicLevel — atomic energy levels

AtomicLine — spectral lines

SupernovaType — observed and theoretical supernova types

PhysicalEffect — named physical effects, rules and principles

Life Sciences

CattleBreed — common cattle breeds (e.g. Angus, Holstein Friesian, etc.)

GoatBreed — common goat breeds (e.g. Appenzell, Boer, etc.)

PigBreed SheepBreed PoultryBreed PigeonBreed

Exercise

PhysicalActivity — everyday human activities and exercises

WeightTrainingExercise — named weight training exercises and workouts

MicrocontrollerEmbedCode — 36 new target microcontrollers including all Arduino and many Adafruit and SparkFun boards.

"ArduinoZero"  ▪  "ArduinoMKRZero"  ▪  "ArduinoNano33IoT"  ▪  "ArduinoMKRWiFi1000"  ▪  "ArduinoMKRWiFi1010"  ▪  "ArduinoMKRWAN1300"  ▪  "ArduinoMKRWAN1310"  ▪  "ArduinoMKRNB1500"  ▪  "ArduinoMKRGSM1400"  ▪  "ArduinoMKRFOX1200"  ▪  "ArduinoMKRVidor4000"  ▪  "AdafruitFeatherM0BasicProto"  ▪  "AdafruitFeatherM0Express"  ▪  "AdafruitMetroM0Express"  ▪  "AdafruitCircuitPlaygroundExpress"  ▪  "AdafruitGemmaM0"  ▪  "AdafruitTrinketM0"  ▪  "AdafruitItsyBitsyM0"  ▪  "AdafruitHallowingM0"  ▪  "AdafruitMetroM4"  ▪  "AdafruitGrandCentralM4"  ▪  "AdafruitItsyBitsyM4"  ▪  "AdafruitFeatherM4Express"  ▪  "AdafruitMetroM4AirLift"  ▪  "AdafruitHallowingM4"  ▪  "AdafruitMonsterM4SK"  ▪  "SparkFunSAMD21DevBreakout"  ▪  "SparkFunSAMD21MiniBreakout"  ▪  "SparkFunLilyPadLilyMini"  ▪  "SparkFun9DoFRazorIMUM0"  ▪  "SparkFunProRF"  ▪  "SparkFunRedBoardTurbo"  ▪  "SparkFunQwiicMicro"  ▪  "MSP432P401RLaunchPad"  ▪  "ArduinoMega2560"  ▪  "ArduinoDue"

ExternalEvaluate (updated) — built-in support for SQL and SQL-JDBC

DatabinSubmit — add data to a databin asynchronously

Remote Batch Computation

RemoteBatchSubmit — submit a single batch job to a batch computation provider

RemoteBatchMapSubmit — map a function over the elements of a list using batch submission

RemoteBatchJobObject — symbolic representation of a remote batch job

RemoteBatchSubmissionEnvironment — symbolic representation of provider-specific configuration

$DefaultRemoteBatchSubmissionEnvironment  ▪  RemoteBatchJobs  ▪  RemoteBatchJobAbort  ▪  RemoteInputFiles  ▪  RemoteProviderSettings

System & License Management

CreateLicenseEntitlement — create an entitlement to run a Wolfram Engine

LicenseEntitlementObject — symbolic representation of a license entitlement

LicenseEntitlements  ▪  LicensingSettings  ▪  ForwardCloudCredentials

Remote Evaluation

RemoteEvaluate — evaluate code on remote machines

$DefaultRemoteKernel

Wolfram Language Kernel Management

wstpserver — manage a pool of Wolfram Language kernels for incoming WSTP connections