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For three decades, Mathematica has defined the state of the art in technical computingand provided the principal computation environment for millions of innovators, educators, students, and others around the world. Widely admired for both its technical prowess and elegant ease of use, Mathematica provides a single integrated, continually expanding system that covers the breadth and depth of technical computingand seamlessly available in the cloud through any web browser, as well as natively on all modern desktop systems.
For Modern Technical Computing, There's No Other Choice
With energetic development and consistent vision for three decades, Mathematica stands alone in a huge range of dimensions, unique in its support for today's technical computing environments and workflows.
A Vast System, All Integrated
Mathematica has nearly 5,000 built-in functions covering all areas of technical computingall carefully integrated so they work perfectly together, and all included in the fully integrated Mathematica system.
Not Just Numbers, Not Just MathBut Everything
Building on three decades of development, Mathematica excels across all areas of technical computingincluding neural networks, machine learning, image processing, geometry, data science, visualizations, and much more.
Unimaginable Algorithm Power
Mathematica builds in unprecedentedly powerful algorithms across all areasmany of them created at Wolfram using unique development methodologies and the unique capabilities of the Wolfram Language.
Higher Level Than Ever Before
Superfunctions, meta-algorithms. Mathematica provides a progressively higher-level environment in which as much as possible is automatedso you can work as efficiently as possible.
Everything Is Industrial Strength
Mathematica is built to provide industrial-strength capabilitieswith robust, efficient algorithms across all areas, capable of handling large-scale problems, with parallelism, GPU computing, and more.
Powerful Ease of Use
Mathematica draws on its algorithmic poweras well as the careful design of the Wolfram Languageto create a system that's uniquely easy to use, with predictive suggestions, natural language input, and more.
Documents As Well As Code
Mathematica uses the Wolfram Notebook Interface, which allows you to organize everything you do in rich documents that include text, runnable code, dynamic graphics, user interfaces, and more.
The Code Makes Sense
With its intuitive English-like function names and coherent design, the Wolfram Language is uniquely easy to read, write, and learn.
Make Your Results Look Their Best
With sophisticated computational aesthetics and award-winning design, Mathematica presents your results beautifullyinstantly creating top-of-the-line interactive visualizations and publication-quality documents.
150,000+ Examples
Get started with almost any project with help from 150,000+ examples in the Documentation Center, over 10,000 open-code Demonstrations in the Wolfram Demonstrations Projectand a host of other resources.
Instant Real-World Data
Mathematica has access to the vast Wolfram Knowledgebase, which includes up-to-the-minute real-world data across thousands of domains.
Seamless Cloud Integration
Mathematica is now seamlessly integrated with the cloudallowing sharing, cloud computing, and more in a unique and powerful hybrid cloud/desktop environment
Connected to Everything
Mathematica is built to be connected to everything: file formats (180+), other languages, Wolfram Data Drop, APIs, databases, programs, the Internet of Things, devicesand even distributed instances of itself.
Version 13.0 adds a total of 117 completely new functions, but also many hundreds of updated and upgraded functions, several thousand bug fixes and small enhancements, and a host of new ideas to make the system ever easier and smoother to use.
- Create convenient aliases for context names using $ContextAliases
- New linear algebra functions: Adjugate, DrazinInverse and CoreNilpotentDecomposition
- Implemented several Coulomb wavefunctions: CoulombF, CoulombG, CoulombH1 and CoulombH2
- Perform interval computations for real and complex centered intervals using CenteredInterval
- Compute the bilateral or double-sided Z transform and the inverse transform using BilateralZTransform and InverseBilateralZTransform
- Create 2D and 3D displacement plots using new functions VectorDisplacementPlot, VectorDisplacementPlot3D, ListVectorDisplacementPlot and ListVectorDisplacementPlot3D
- Visualize geo flows via GeoGraphValuePlot
- New constructive solid geometry region CSGRegion, built by Boolean operations on basic regions
- Create regions from a set of points using RegionFit, GradientFittedMesh and ConcaveHullMesh
- Find an affine transform from one region to another with FindRegionTransform and check for congruity and similarity for two regions using RegionCongruent and RegionSimilar
- New functions for finding isomorphic subgraphs and subgraph isomorphisms: IsomorphicSubgraphQ, FindSubgraphIsomorphism, FindIsomorphicSubgraph
- Find minimal edge and vertex colorings for graphs with FindEdgeColoring and FindVertexColoring
- Find face coloring for a planar graph layout using FindPlanarColoring
- Compute dominators for directed graphs using DominatorTreeGraph and DominatorVertexList
- New lighting options for three-dimensional graphics: AmbientLight, DirectionalLight, PointLight and SpotLight
- Create spatial predictions with SpatialEstimate
- Estimate the best variogram model for location-tagged data with EstimatedVariogramModel
- New video processing functions: SnippetsVideo, TourVideo, GridVideo and OverlayVideo
- Preview videos in a Wolfram Language notebook with a new built-in video player
- Stitch a list of images together with ImageStitch
- Efficiently train custom content detectors using TrainImageContentDetector and TrainTextContentDetector
- Extract a repeating operation in a folded neural net with NetUnfold
- New additions to the Tree framework: TreeScan, TreeMapAt, TreeTraversalOrder and TreeLayout
- Convert between different time systems with TimeSystemConvert
- Get real-time information on airplane flights using FlightData
- New solid mechanics PDE model functions, including SolidMechanicsPDEComponent, SolidMechanicsStrain, SolidMechanicsStress and more
- Added symbolic representations for chemicals and chemical reactions: ChemicalFormula, ChemicalReaction
- Compute a chemically balanced reaction with ReactionBalance and check if a given reaction is balanced with ReactionBalancedQ
- Improved import of PDF pages as vector graphics
- Use QuestionInterface to specify an interface for answering questions
- Represent an HTML element containing an expression with WebItem and arrange such elements into rows and columns with WebRow and WebColumn
- Submit remote batch jobs to the Azure Batch service
- GeoGraphics now returns maps with vector labels by default
Release NotesVersion 13.0.1 continues an ongoing effort of incremental quality development of the Wolfram Language. This release includes hundreds of bug fixes, feature enhancements and performance improvements, including a security update for log4j.
System RequirementsWolfram Mathematica 13.0 System Requirements

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