Wolfram Mathematica version 12.1.1 is the result of an ongoing effort of incremental quality development of the Wolfram Language. It includes almost a thousand bug fixes, feature enhancements and performance improvements in cryptography, video processing, data science, visualization and more.

For three decades, Mathematica has defined the state of the art in technical computing-and 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 computing-and 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 computing-all carefully integrated so they work perfectly together, and all included in the fully integrated Mathematica system.

Not Just Numbers, Not Just Math-But Everything
Building on three decades of development, Mathematica excels across all areas of technical computing-including neural networks, machine learning, image processing, geometry, data science, visualizations, and much more.

Unimaginable Algorithm Power
Mathematica builds in unprecedentedly powerful algorithms across all areas-many 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 automated-so you can work as efficiently as possible.

Everything Is Industrial Strength
Mathematica is built to provide industrial-strength capabilities-with 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 power-as well as the careful design of the Wolfram Language-to 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 beautifully-instantly 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 Project-and 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 cloud-allowing 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, devices-and even distributed instances of itself.

What's New in Mathematica 12.1:
Windows and Linux notebook interface updated with HiDPI support for thousands of icons and other assetsWindows and macOS interfaces now use Direct3D 11 and Metal API for improved rendering of 3D graphicsSophisticated video framework for programmatic viewing, processing and analysis of a range of multimedia typesSpreadsheet-like viewing, editing and manipulation of tabular data with TableViewDetailed control of appearance, sorting, data storage and other options for DatasetNew DataStructure framework for efficient creation, storage and manipulation of common data structuresCompute asymptotic approximations and expansions for mathematical expressions with Asymptotic and DiscreteAsymptoticMathematical HeunG function representing the regular solution of the general Heun equationGenerate distributions over unordered classes with CategoricalDistributionUse GeometricOptimization to find positive values that minimize the posynomial objective subject to given constraintsDescription functions, regions and vectors in the complex plane with ComplexRegionDescription, ComplexContourDescription, ComplexVectorDescription, etc.Support for generating proofs from arbitrary predicates (first-order logic) with FindEquationalProofSeveral improvements and new options for vector visualizationArtistically fill 2D polygons with HatchFilling and PatternFilling, and shade 3D objects with StippleShading, ToonShading, HatchShading and other new graphics directivesImproved support for geometric operations on geographic regionsDisplay values on maps as smoothly varying colors with GeoDensityDescription or as contours with GeoContourDescriptionExplore the topology of meshes with MeshConnectivityGraph and NearestMeshCellsTrain generative models on various types of data with NetGANOperatorInclude anomaly detection in machine learning functions with AnomalyDetectorSet styled annotations for graphs and other objects with AnnotateUse Splice to automatically splice expressions into a listOperate on subsets/sublists with functions such as SubsetCases, SubsetPosition, SubsetCount, etc.Represent operator forms with OperatorApplied and CurryApplied, and use ReverseApplied to apply a function with arguments reversedTimeRemaining for retrieving the seconds until a TimeConstrained computation will be terminatedDateInterval for representing time intervals continuously or at a given granularity, InfinitePast/InfiniteFuture for representing indefinite time intervals and MinDate/MaxDate for finding extrema in an interval or list of datesView tree graphs of expressions at any level with ExpressionGraphExternalIdentifier for representing and referencing resources in external identifier systemsSearch and retrieve values from Wikidata's SPARQL endpoint with WikidataSearch and WikidataDataSupport for Julia, Ruby and R languages through ExternalEvaluateIdentify molecular structures in an image with MoleculeRecognizeUpload files to an external storage such as Dropbox with ExternalStorageUploadView and analyze ARK blockchain data and submit transactionsCombine and separate entity classes with UnionedEntityClass, IntersectedEntityClass and ComplementedEntityClassImproved support for ZIP and TAR through CreateArchive and ExtractArchiveSecurely store system passwords, secrets, keys, etc. locally with SystemCredential, and create digital file signatures from a given key with GenerateFileSignaturePaclet framework for representing, installing and managing local and remote paclets with functions such as PacletInstall, PacletFind, PacletSites, etc.Improved support for MicrosoftSQL, MySQL and other relational databasesSolve the max-cut problem for a graph with FindMaximumCutUse FaceAlign to align faces in images based on facial landmarksFindImageText for detecting the regions of an image containing a character, word, line or block of textUse SpeechCases and SpeechInterpreter to identify text and entities in spoken audio, and compare speech with a reference clip with SpeakerMatchQUse CharacterNormalize to convert text to various Unicode normalization formsSupport for user-provided CUDA Toolkits
Mathematica 12.1.1
Cryptography functions are more robust and consistent, including additional hashing methods for GenerateDigitalSignatureVideoStream now supports livestreams, and video processing and export functions use H264/AAC codecs by default (when available)Improved performance for Dataset and GridBox constructs and increased stability for TableViewRLink can now use custom R installations up to Version 3.6Improved data handling for StackedListDescription and StackedDateListDescriptionImprovements and fixes for Around, including better handling of asymmetric uncertaintiesBetter typesetting for DateObjectResolved a slowdown in prime-number computationsAnd more

Citación :

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