Summary of New and Improved Features in 14.1
A list of key new and improved features since 14.0, including features experimental in 14.1.
Core Language
open all close allNatural Language Input
FreeformEvaluate (=[…]) — language-level support for (
)
Functional Programming
BitFlip — flip one of the bits of an integer number
StringApply — apply a function of the characters of a string
AllSameBy — test whether all elements of a list are the same after a function is applied
AllMatch — test whether all elements of a list match a given pattern
Nest (updated), NestList (updated) — now have an operator form
Quantities & Units
QuantityQ (updated), KnownUnitQ (updated) — new argument to check physical quantities or dimensions
Strings and Streams
Options (updated) — now supports symbol names in addition to symbols
$StandardOutputStream, $StandardErrorStream — symbolic representations of "stdout" and "stderr"
FileNameJoin (updated) — now supports a sequence of arguments in addition to a list
CharacterCounts (updated) — now supports a list of strings
LetterCounts (updated) ▪ WordCounts (updated)
Machine Learning & Neural Networks »
Semantic Search and Retrieval-Augmented Generation
LLMPromptGenerator — add context-dependent messages to an LLM prompt
SemanticSearch — search in a text corpus by semantic similarity
SemanticSearchIndex ▪ CreateSemanticSearchIndex ▪ UpdateSemanticSearchIndex ▪ SemanticSearchIndices
LLM Related Functionality »
LLMSynthesize (updated), ChatEvaluate (updated) — added support for multimodal input
TextSummarize (updated) — added support for vector databases
New and updated service connections to LLMs.
"AlephAlpha" ▪ "Anthropic" (updated) ▪ "GoogleGemini" ▪ "MistralAI" ▪ "Cohere" ▪ "DeepSeek" ▪ "TogetherAI" ▪ "Groq" ▪ "OpenAI" (updated)
Vector Database Infrastructure
VectorDatabaseSearch — approximate nearest neighbor search in vector database
CreateVectorDatabase — create a database from a list of vectors
CreateSemanticSearchIndex — create vector database from text
VectorDatabaseObject ▪ AddToVectorDatabase ▪ VectorDatabaseObjects
GPU and NPU Accelerated Neural Network Inference
TargetDevice (updated) — support for CoreML (macOS) and DirectML (Windows)
"ONNX" (updated) — significant speedup in model export, expanded model coverage in import
NetChain (updated) ▪ NetGraph (updated) ▪ NetExternalObject (updated)
Regression with Uncertainty
LinearModelFit (updated), NonlinearModelFit (updated) — support for uncertainty using Around
Mathematical Computation
Symbolic Vector, Matrix & Array Variables
D (updated) — symbolic differentiation of vector, matrix and array expressions
VectorSymbol — create a symbolic vector variable
MatrixSymbol ▪ ArraySymbol ▪ NonThreadable
Differentiable Symbolic Array Functions
Transpose (updated) ▪ Dot (updated) ▪ ArrayDot ▪ TensorProduct (updated) ▪ TensorContract (updated) ▪ Total (updated) ▪ Inverse (updated) ▪ Tr (updated) ▪ Det (updated) ▪ Norm (updated) ▪ KroneckerProduct (updated) ▪ TensorWedge (updated) ▪ Cross (updated) ▪ Adjugate (updated) ▪ PseudoInverse (updated) ▪ LinearSolve (updated) ▪ LeastSquares (updated) ▪ Eigenvalues (updated) ▪ Mean (updated) ▪ Variance (updated) ▪ Covariance (updated) ▪ Correlation (updated) ▪ AbsoluteCorrelation (updated) ▪ StandardDeviation (updated) ▪ Kurtosis (updated) ▪ Skewness (updated) ▪ Moment (updated) ▪ CentralMoment (updated) ▪ FactorialMoment (updated) ▪ Cumulant (updated) ▪ MatrixPower (updated) ▪ MatrixExp (updated) ▪ MatrixLog (updated) ▪ MatrixFunction (updated)
Symbolic Array Constructors
Standard constructors needed for symbolic vector, matrix and array formulas.
SymbolicZerosArray — symbolic array of zeros
SymbolicOnesArray ▪ SymbolicIdentityArray ▪ SymbolicDeltaProductArray
Array Operations
ArrayDot — generalization of Dot, needed for the array chain rule of differentiation
Transpose (updated) ▪ ConjugateTranspose (updated)
LinearSolve (updated) — can now solve array equations
LeastSquares (updated) — can now solve array least-squares problems
Stability Analysis of Differential and Difference Equations
DStabilityConditions — stability analysis for systems of differential equations
RStabilityConditions — stability analysis for systems of difference equations
Algebra
Solve (updated) — now efficiently support the MaxRoots option
SolveValues (updated) ▪ FindInstance (updated) ▪ NSolve (updated) ▪ MaxRoots (updated)
BooleanConvert (updated) — additional formats
Calculus
DSolve (updated) — now accepts equations of the form y'==y without dependent variables
UnilateralDiscreteConvolve — unilateral or causal convolution to go with ZTransform
Optimization
NMinimize (updated) — dramatically improved performance of frequently used Nelder–Mead method
NMaximize (updated) ▪ NMinValue (updated) ▪ NMaxValue (updated) ▪ NArgMin (updated) ▪ NArgMax (updated)
Special Functions
SinDegrees — sine function with degree argument
ArcSinDegrees — arc sine function returning degrees
CosDegrees ▪ TanDegrees ▪ CotDegrees ▪ SecDegrees ▪ CscDegrees ▪ ArcCosDegrees ▪ ArcTanDegrees ▪ ArcCotDegrees ▪ ArcSecDegrees ▪ ArcCscDegrees
PascalBinomial — Binomial that preserves Pascal's identity for all integers
Date & Time
High Performance Date & Time Conversions
FromDateString (updated) — date and time string parsing up to times faster
DateObject (updated) — new sub-second granularities like "Millisecond" or "Nanosecond"
Descriptive Statistics for Dates & Times
ConformDates — conform a list of dates or times to have shared granularity and calendar
Mean (updated) — compute descriptive statistics for dates and times
BiweightLocation (updated) ▪ BiweightMidvariance (updated) ▪ CentralMoment (updated) ▪ Correlation (updated) ▪ Covariance (updated) ▪ Cumulant (updated) ▪ InterquartileRange (updated) ▪ Kurtosis (updated) ▪ Max (updated) ▪ Mean (updated) ▪ MeanDeviation (updated) ▪ Median (updated) ▪ MedianDeviation (updated) ▪ Min (updated) ▪ QnDispersion (updated) ▪ Quantile (updated) ▪ QuartileDeviation (updated) ▪ Quartiles (updated) ▪ QuartileSkewness (updated) ▪ RankedMax (updated) ▪ RankedMin (updated) ▪ Skewness (updated) ▪ SnDispersion (updated) ▪ StandardDeviation (updated) ▪ TrimmedMean (updated) ▪ TrimmedVariance (updated) ▪ Variance (updated) ▪ WinsorizedMean (updated) ▪ WinsorizedVariance (updated)
Distributions for Dates & Times
DateDistribution — a distribution of dates from any numerical distribution
TimeDistribution — a distribution of times from any numerical distribution
Astronomy & Geography
Astronomy
AstroRiseSet — compute rise and set times for any astronomical object, observed anywhere on any date
ReferenceAltitude — new option defining rise and set events, to compute twilight times
Sunrise (updated) ▪ Sunset (updated)
AstroGraphics (updated) — improved visuals with new projection engine and new coordinate ticks
AstroPosition (updated) — alternative built-in ephemeris system based on orbital elements
Geography
GeoNearest (updated) — support for geo and temporal computation with historical entities
GeoWithinQ (updated) ▪ GeoEntities (updated) ▪ GeoIdentify (updated) ▪ GeoDistance (updated) ▪ GeoVariant (updated)
"GeoTIFF" (updated) — improved backend of geo format
Biochemistry
Biomolecular Computation
BioMolecule — a large biopolymer composed of peptide, DNA or RNA units
BioMoleculePlot3D — display a biomolecule as a ribbon diagram
BioMoleculeValue — find properties of biomolecules
Geometry, Graphs & Graphics
AR Publishing
High-fidelity rendering of plots and graphics in AR devices
ARPublish (updated) — generate a gallery from a list of models
"USD" (updated), "GLTF" (updated) — add support of colors
3D Printing
Generate models with parts in color for 3D printers.
Printout3D (updated) — print out colored printable models
"OBJ" (updated) ▪ "DAE" (updated) ▪ "FBX" (updated) ▪ "VRML" (updated)
Constructive Solid Modeling
Easily model geometric regions using constructive solid modeling techniques.
CSGRegion (updated) — add styling for CSG regions and primitives
Regions
Convenient constructors for polar curves.
PolarCurve — represent a curve given in polar coordinates
FilledPolarCurve — represent a filled region of a polar curve
Improved workflows and usability for geometric regions.
RegionConvert (updated) — give a spline representation of geometric regions
BooleanRegion (updated) — automatic visualization of Boolean regions
BoundaryDiscretizeRegion (updated), DiscretizeRegion (updated) — improved for composite regions
BoundaryDiscretizeGraphics (updated), DiscretizeGraphics (updated) — works on all graphics primitives
TransformedRegion (updated), InverseTransformedRegion (updated) — automatic visualization
Graphs & Networks
Fast algorithms to compute on large graphs.
GraphTriangleCount — count triangle cycles in a graph
PageRankCentrality (updated), BetweennessCentrality (updated) — compute centralities on large graphs
Documentation updates with illustrations and more.
ButterflyGraph (updated) ▪ NestGraph (updated) ▪ CayleyGraph (updated) ▪ TreeForm (updated) ▪ BipartiteGraphQ (updated) ▪ EulerianGraphQ (updated) ▪ VertexTransitiveGraphQ (updated) ▪ EdgeTransitiveGraphQ (updated) ▪ ChromaticPolynomial (updated) ▪ GraphHub (updated) ▪ MeanGraphDistance (updated) ▪ GraphDistanceMatrix (updated) ▪ VertexEccentricity (updated) ▪ GraphDensity (updated) ▪ GraphLinkEfficiency (updated) ▪ GlobalClusteringCoefficient (updated) ▪ MeanClusteringCoefficient (updated) ▪ LocalClusteringCoefficient (updated) ▪ GraphAssortativity (updated)
Video Computation »
Video Creation »
All generation and processing functions now display current frame in the progress monitor.
AnimationVideo (updated) ▪ TourVideo (updated) ▪ VideoGenerator (updated) ▪ ...
Declarative Video Creation
ManipulateVideo — video from Manipulate using keyframe parameters
Manipulate (updated) — updated to accept KeyframeActions option
KeyframeActions — keyframe specifications for exporting Manipulate experiments
ConstantVideo — video of a static image
Programmatic Video Creation
SowVideo, ReapVideo — sow video snippets to later reap the full video
VideoFrameFold — transform a video using a stateful iteration
Video Processing
VideoTranscribe — add a subtitle track to video from audio transcription
Video Object
Improved FFmpeg installation on macOS.
Video (updated) — adding ImageResolution option to better display high-resolution videos
VideoSummaryPlot — plot a summary of the video and audio tracks
Audio Functions now Support Video
AudioAmplify (updated) ▪ AudioChannelMix (updated) ▪ AudioDelay (updated) ▪ AudioIdentify (updated) ▪ AudioInstanceQ (updated) ▪ AudioIntervals (updated) ▪ AudioLocalMeasurements (updated) ▪ AudioLoudness (updated) ▪ AudioMeasurements (updated) ▪ AudioNormalize (updated) ▪ AudioPan (updated) ▪ AudioPitchShift (updated) ▪ AudioPlot (updated) ▪ AudioResample (updated) ▪ AudioReverb (updated) ▪ AudioReverse (updated) ▪ AudioTimeStretch (updated) ▪ Cepstrogram (updated) ▪ Periodogram (updated) ▪ PitchRecognize (updated) ▪ Spectrogram (updated) ▪ SpeechCases (updated) ▪ SpeechInterpreter (updated) ▪ SpeechRecognize (updated)
Audio & Image Computation
Speech Computation »
SpeechRecognize (updated) — high quality, fast and support for multiple languages
LanguageIdentify (updated) — now works on audio and video
Classify (updated) ▪ "SpokenLanguage"
Computer Vision »
TextRecognize (updated), FindImageText (updated) — using operating system OCR (macOS only)
RemoveBackground (updated) — a new method for people segmentation
Other Updates
AudioDelete (updated), AudioReplace (updated), AudioTrim (updated) — support for Interval as an argument
AudioIdentify (updated), SpeechRecognize (updated) — support for Interval in Masking option
Colorize (updated) — significant speed improvement up to times faster
PDE Modeling »
Electromagnetics »
ElectricCurrentPDEComponent — model electric currents
ElectrostaticPDEComponent (updated) — updated electrostatic systems
ElectricCurrentDensityValue ▪ ElectricPotentialCondition (updated) ▪ ElectricSymmetryValue (updated)
Electromagnetics Overview — overview monograph about modeling electromagnetics
Electric Currents — monograph about modeling electric currents
Fluid Dynamics »
FluidFlowPDEComponent (updated) — new non-Newtonian fluid model
Laminar Flow (updated) — updated monograph section on the Carreau model
Heat Transfer »
HeatTransfer (updated) — new monograph sections on point sources in axisymmetric models
Solid Mechanics »
VonMisesStress — computes the von Mises stress from a stress tensor
Partial Differential Equation Models »
SchrodingerPDEComponent (updated) — now supports anisotropic mass
PDE Application Models »
"Electrostatically Actuated MEMS" ▪ "Thermal Contact" ▪ "Cerebral Aneurysm" ▪ "Axisymmetric Conical Quantum Dot" ▪ "Beam - Spring - Mass System Physics" ▪ "Room Heating System Physics"
Importing & Exporting »
XML Formats »
"XML" (updated) — backend update that gives significant speed improvement and bug fixes
Geography Formats
"GeoTIFF" (updated) — improved backend of geo format
Geometry & Graphics Formats
"USD" (updated), "GLTF" (updated) — add support of colors
"OBJ" (updated) ▪ "DAE" (updated) ▪ "FBX" (updated) ▪ "VRML" (updated)
Notebooks
NotebookCellData — data about the cells in the notebook
Input Assistance
Typing or placing the selection in any symbol will highlight identical instances of the symbol elsewhere in the cell
Fuzzy input completions now support completions of context names
Entities now produce a help widget on hover that opens a help page for the appropriate entity class
Diff
Diff — view the diffs between two notebooks, files, strings, lists, etc.
Diff3 — perform a three-way diff on supported diff targets
DiffApply — apply a diff change set to an existing object
DiffAlignmentMethod ▪ DiffGranularity ▪ DiffIgnore ▪ DiffIncludeMatches ▪ DiffInputFunction ▪ DiffStyle
Question & Answer Framework
AssessmentFunction (updated) — supports the "AlgebraicValue" method for equation-solving problems
QuestionObject (updated) — features updated graphic design for question interfaces
"TextCompletion" — creates a fill-in-the-blank QuestionObject
"SelectCompletion" ▪ "DragCompletion" ▪ "DragCategorize" ▪ "Sort" ▪ "ClickLocations"
Code Compilation & Data Structures
FunctionCompile (updated) — reports progress and gives a detailed report on compilation errors
FunctionCompileExportLibrary ▪ FunctionCompileExport ▪ FunctionCompileExportString ▪ FunctionCompileExportByteArray
CompilerInformation (updated) — displays information about functions and types known to the compiler
CreateCompilerEnvironment (updated) — now supports multiple target systems, which enhances multi-platform cross-compilation
FunctionCompile (updated) — now supports CompilerRuntimeErrorAction option, which controls behavior when errors are encountered running compiled code
OperationDeclaration — declare code for operations declared for a type
TypeDeclaration (updated) — new options "Creator" and "Operations" that declare functions to create instances of a type and operations on a type
DeclareCompiledComponent (updated) — new setting "RawLibraryFunctions" that declares functions to provide a raw library export from a component library
ForAllType (updated) — conditions can now be given as a list of alternative types
Data Structures
"LeastRecentlyUsedCache" enhanced by support for a function to call when an entry is eliminated.
Enhanced operations for "SortedKeyStore" and "SortedMultiSet" data structures by internal use of "RedBlackTree".
Functions Enhanced in Compiled Code
BinCounts ▪ Cross ▪ AlternatingFactorial ▪ BellB ▪ CompositeQ ▪ DeBruijnSequence ▪ Det ▪ DigitCount ▪ Divisors ▪ DivisorSigma ▪ Fibonorial ▪ FiniteGroupCount ▪ FrobeniusNumber ▪ FrobeniusSolve ▪ FromDigits ▪ IntegerPartitions ▪ LiouvilleLambda ▪ MersennePrimeExponent ▪ MersennePrimeExponentQ ▪ MoebiusMu ▪ NextPrime ▪ NumberDecompose ▪ NumberDigit ▪ PartitionsP ▪ PartitionsQ ▪ PerfectNumber ▪ PerfectNumberQ ▪ PolygonalNumber ▪ Prime ▪ PrimeNu ▪ PrimeOmega ▪ PrimePi ▪ PrimeQ ▪ RamanujanTau ▪ RamanujanTauTheta ▪ RamanujanTauZ ▪ RiemannXi ▪ SquareFree
Enhancements in Compiler Operations
Enhanced compilation of nested pure functions that enhance inlining.
Enhanced type inferencing while processing alternative constraints.
Foreign Function Interface »
Extensive tutorial added for the foreign functions interface.
External Evaluations & Kernel Management
ExternalOperation — symbolic representation of external operations
ExternalEvaluate (updated) — support for evaluating external operations
ExternalFunction (updated) — support for evaluating methods on external objects
ExternalObject (updated) — support for external objects in arguments of external functions
StartExternalSession (updated) — support for external session identifiers
Kernel Management
CloseKernels — now allows the same syntax for kernel selection that ParallelEvaluate supports
Parallel Computation
$DistributedDefinitions — gives the list of all symbols whose definitions have been distributed to parallel subkernels
ClearDistributedDefinitions — clears all distributed definitions