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A list of key new features since 12.1, including features experimental in 12.2.
open allclose allRobustness & 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
ConvexOptimization— general convex optimization
LinearOptimization (updated) — now supports complex variables
QuadraticOptimization(updated) ▪ SemidefiniteOptimization(updated) ▪ ..
FunctionInjective— test whether a function is injective or one to one
FunctionSurjective ▪ FunctionBijective
FunctionSign— the sign of a function (positive, negative, …)
FunctionMonotonicity ▪ FunctionConvexity
FunctionContinuous— test whether a function is continuous
FunctionAnalytic ▪ FunctionMeromorphic
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
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
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
MassTransportPDEComponent— model mass transport
MassConcentrationCondition ▪ MassFluxValue ▪ MassImpermeableBoundaryValue ▪ MassOutflowValue ▪ MassSymmetryValue ▪ MassTransferValue
Mass Transport— monograph about modeling mass transport
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.
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PointDensity— varying point density function
HistogramPointDensity ▪ SmoothPointDensity ▪ PointDensityFunction
Counting Measures
PointCountDistribution— the distribution of point counts for any region
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
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
Base sqlite editor 2 4 10 download free. '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 (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
'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
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.)
PigBreedSheepBreedPoultryBreedPigeonBreed Kilohearts toolbox ultimate 1 8 0 2.
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
Wolfram Mathematica 12.0.0.0
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
RemoteKernelObject ▪ $DefaultRemoteKernel
Wolfram Language Kernel Management
wstpserver— manage a pool of Wolfram Language kernels for incoming WSTP connections
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