New in Mathematica 14.1

Mathematica Version 14.1 ntroduces the unified Wolfram application and expands Wolfram Language by offering new tools for working with neural nets and LLMs, for finding differences in content, for working with images and videos, and for exploring scientific evaluations through biomolecules, astrophysics and more.

Stephen Wolfram's Blog Entry announcing Version 14.1

• Flip one of the bits of an integer number with BitFlip
• Added several functions to test elements of a list: AllSameBy, AllMatch, AnyMatch, NoneMatch
• LLMPromptGenerator allows adding context-dependent messages to an LLM prompt
• Search in a text corpus by semantic similarity with SemanticSearch
• Create and update semantic similarity indices with CreateSemanticSearchIndex and UpdateSemanticSearchIndex
• New service connections to LLMs: AlephAlpha, GoogleGemini, MistralAI, Cohere, DeepSeek, TogetherAI and Groq
• Create, update and search vector databases with CreateVectorDatabase, AddToVectorDatabase and VectorDatabaseSearch
• Support for symbolic vector, matrix and array symbols with VectorSymbol, MatrixSymbol and ArraySymbol
• Added support for symbolic vectors, matrices and array inputs to numerous functions, including D, Grad, Div, Laplacian, Transpose, TensorTranspose, Dot, Cross, TensorContract and more
• Standard constructors needed for symbolic vector, matrix and array formulas added: SymbolicZerosArray, SymbolicOnesArray, SymbolicIdentityArray and SymbolicDeltaProductArray
• Stability analysis for systems of differential equations added with DStabilityCondititions
• Stability analysis for systems of difference equations added with RStabilityCondititions
• Added versions of the trigonometric functions for use with degree arguments: SinDegrees, CosDegrees, TanDegrees, CotDegrees and more
• PascalBinomial is a binomial that preserves Pascal's identity for all integers
• Conform a list of dates or times to have shared granularity and calendar with ConformDates
• Descriptive statistics functions like Mean, Median, Variance, Correlation and others have been updated to work on dates and time data
• AstroRiseSet computes rise and set times for any astronomical object, observed anywhere on any date
• PolarCurve represents curves in polar coordinates
• Count triangle cycles in a graph with GraphTriangleCount
• ManipulateVideo creates a video from Manipulate using keyframe parameters
• Sow video snippets to later reap the full video with SowVideo and ReapVideo
• VideoFrameFold transforms a video using a stateful iteration
• Add a subtitle track to video from audio transcription with VideoTranscribe
• Plot a summary of the video and audio tracks with VideoSummaryPlot
• Multiple functions that take audio input, such as AudioAmplify and AudioNormalize, now also work on video input
• ElectricCurrentPDEComponent models electric currents in PDEs
• VonMisesStress computes the von Mises stress from a stress tensor
• View the differences between two notebooks, files, strings, lists, etc. with Diff
• Perform a three-way diff on supported diff targets with Diff3
• Apply a diff change set to an existing object with DiffApply
• FunctionCompile has been updated and now reports progress and gives a detailed report on compilation errors; it also now supports the CompilerRuntimeErrorAction option, which controls behavior when errors are encountered running compiled code
• Symbolic representation of external operations added with ExternalOperation
• $DistributedDefinitions and ClearDistributedDefinitions return and clear the list of all symbols whose definitions have been distributed to parallel subkernels, respectively

See the complete list of what's new in the Wolfram Language with Mathematica 14.1 at the Wolfram Research website