For Existing Users
Mathematica 11 both significantly extends the capabilities of Mathematica and introduces many enhancements that make the system even smoother and more efficient.
Sample additional highlights for existing Mathematica users
(Except as noted, all features are available for both desktop and cloud.)
Filling out Big Math
Symbolic PDEs, integral equations, Green's functions... »
Long awaited, and building on a huge tower of algorithmic functionality
Eigenvalue problems for differential equations »
Symbolic and numeric eigenvalue problems: Helmholtz, Schrödinger, etc.
GOE, GUE...: Random matrices of all kinds »
Full support for random matrices and their statistical properties
Algorithmic Conveniences
Just do arithmetic—with time series »
Add, divide, etc. time series, with regular or irregular sampling
Mixed-radix numbers »
Feet and inches, dollars and cents: handle mixed-radix numbers
Know the data boundaries... »
CoordinateBounds computes min and max for every dimension in data
Statistical distributions can have units »
Statistical distributions can give quantities, with all the correct units
DistanceMatrix for pairwise distances »
Distances between geo points, dates, strings, images...
Graphics Conveniences
Quick, make a regular polygon »
RegularPolygon for the polygon, CirclePoints for the corners
Turtles all the way down »
AnglePath provides industrial-strength, Logo-like paths
Instantly polar, spherical... »
FromPolarCoordinates etc. for instant conversion to and from polar coordinates
Automatic icons from A New Kind of Science, and beyond »
RulePlot automatically displays rules and evolutions for cellular automata etc. in many formats
Roll, pitch, yaw and all that »
Specify 3D rotations with RollPitchYawAngles, EulerAngles...
More, Better Visualization
Label anything with callouts »
Automatically placed callouts let you label points, lines, curves...
The slice family of plots »
See inside 3D regions with six kinds of slice plots
Local clip planes for cutaways etc. »
ClipPlanes becomes a style for any 3D object
Word clouds, timelines... »
Visualize with super-flexible word clouds, timelines, etc.
Reversed, reciprocal, scaled, etc. axes »
Set up any transformation of axis ticks you want
Graphs, gauges and meshes get themed »
PlotTheme instantly switches between different visual themes for Graph etc.
For Math Classes
Don't join across the singularities... »
Exact exclusions for all plots (2D, 3D...)
Polygonal numbers »
Instant triangular, square, etc. numbers
Derivatives by hand... »
DifferenceQuotient to approximate Ε-Δ and all that
Plot over any region »
However you define a region, you can plot only over that region
Roman numerals »
Want to do math like it was done 2,000 years ago?
Taking 3D Printing Seriously
Fix up geometry so you can print it »
RepairMesh to fix those little glitches in 3D geometry
Print that 3D plot! »
Automatic pipeline from a 3D plot of functions or data, to a printed 3D object
Just print it... in 3D »
Instant connections to 3D printers and 3D printing services
Print that bone! »
Go from a 3D scan (or built-in AnatomyData) to a 3D-printed object, such as a bone
Chemicals, knots, polyhedra, terrain... »
Immediately printable 3D geometries
Notebooks Look Different!
Elegant code fonts »
Courier is finally gone, even on the desktop, replaced by an elegant sans-serif code font
Real-time spellchecking »
Spellchecking with extended dictionaries as you type in 25+ languages (desktop version)
Yet more autocompletion »
Want to know possible option values, or entity properties? Just start typing...
Stack trace for any message »
New message display lets you immediately find out where a message was generated
Highlighting for initialization cells »
In a notebook, Ctrl + 8 now immediately makes an initialization cell, indicated with a gray background
Copyable web documentation
Examples from web documentation are live when they're copied, even on the desktop
Streamlined package editor »
Edit your code in a full-function notebook; get it saved as Get[]able plain text
Nice New Programming Features
Simple Table doesn't need braces »
Table[x, n] makes n copies of x; it doesn't need to Table[x,{n}]
The mighty Nothing »
Replace an element of a string with Nothing—and it'll just disappear
Just wrap Echo in to print a result »
Echo prints, but then returns what it printed, so you can slip it into code anywhere
Just do it Once »
Once lets you give code to be run only once per session
Not just Range, but Subdivide »
Make a list of n numbers from 0 to 1, etc.
Pattern matching for associations »
Put patterns anywhere in associations, with correct orderless matching etc.
Accurate timing, even when it's short »
RepeatedTiming automatically repeats faster operations and averages the times they take
Even More Functional Programming
Fold with history »
SequenceFold lets you fold in any number of previous elements
TakeLargest, TakeLargestBy... »
Get the n largest, smallest, etc. elements in a list
Nest to make a network »
Create a graph by iteratively nesting a function
The Sequence family »
SequencePosition, SequenceCount, etc.: look for sequences directly in lists
BlockMap »
Map functions that take blocks rather than single elements
More with Text & Natural Language
More string-testing functions
Big lists of words »
WordList for words of different types (common, verbs, etc.) in 27 languages
Find the words, sentences, etc. »
TextWords, TextSentences, etc. to get lists of words, sentences, etc. in a string
Define that word! »
WordDefinition for direct access to word definitions
Diagram that sentence! »
Full sentence parsing into trees of clauses, phrases, etc.
Count the letters, words... »
LetterCounts, WordCounts, etc. in any text
Interpreter for structured data »
CompoundElement, RepeatingElement, etc. for interpreting structured data
Programmable Linguistic Interface »
Deploy arbitrary grammars containing built-in NLU elements
Everything's Gone Multilingual
Multilingual code captions »
Annotate code in real time with function explanations in a dozen languages
Transliteration for anything »
Transliterate from Chinese, Russian, whatever, to any writing script
True alphabetic sorting in any language »
AlphabeticSort just does the right thing...
ASCIIfy things »
RemoveDiacritics to remove diacritical marks
OCR beyond English »
TextRecognize now supports 60 languages
Geo
Driving distances »
Use TravelDistance to find actual driving distances, not just geodesic distances
Historical country maps »
Sequences of border maps for the histories of 1,000+ countries
Zoomable, pannable maps »
DynamicGeoGraphics makes interactive maps
Satellite images »
Tiles for up to zoom level 11 for Earth (as well as for the Moon, Mars, Pluto, etc.)
Geometry from terrain »
Full 3D geometry from GeoElevationData
Data Gets Bigger and Bigger
Dated entities and properties »
Ask for values at particular dates using Dated
Define your own entities »
EntityStore to let you specify your own entities, properties and values
Wolfram Data Repository »
Core support for instantly accessible large-scale external data
Implicit entities »
The largest five countries, the densest metal, etc., all symbolically specified
Accumulate data from anywhere in the Wolfram Data Drop »
Use a dozen different methods to get data into databins in the cloud
New automatic layout for Dataset »
Any shape, any depth, automatically formatted—with scrolling and drilldown
Audio!
Serious large-scale audio »
Support for processing hour-long audio files, visualizing them, etc.
Audio is to Sound as Image is to Graphics »
Directly manipulate audio displayed in notebooks
Still More with Images
Images can be much bigger »
DynamicImage lets you keep an image on disk, and zoom and pan in it
Lots of computational photography »
ColorBalance to correct colors, etc.
Stylish highlighting in images »
Static and dynamic highlighting of points, curves and areas in images
From images to computable meshes... »
ImageMesh converts from any binary 2D or 3D image to the corresponding mesh region
Automatically read metadata from images »
Automatically extract dates, times, etc. from Exif, XMP, IPTC
Machine Learning & AI
Say what features to look at »
FeatureExtractor option to specify how to extract features for Classify etc.
Symbolic neural networks »
Construct and train full neural networks using CPUs and GPUs
Clustering for anything »
Machine learning-based clustering for data, images, text, etc., making trees, dendrograms, etc.
More in the Knowledgebase
Wikipedia is built in »
Immediately pull in material from Wikipedia articles
Know thyself's functions »
WolframLanguageData for detailed information about the functions of the Wolfram Language
Food, oceans, radiation protection, mortality, Pokémon... »
Many more domains of knowledge covered
Weather forecasts »
Forecasts as well as historical weather data
Extending the Systems-Level Infrastructure
Publish-subscribe comes to the Wolfram Language »
Flexible channel framework for communication between anything, into notebooks, etc.
Submit to the cloud for asynchronous computation »
CloudSubmit to submit anything
Parallelize over directories of files »
FileSystemMap to map operations over nested directories
Persistent local object storage »
LocalObject, LocalCache, etc. to store, cache, etc. anything locally
Raw binary byte arrays »
Store data directly in binary form
WolframScript for everything from the shell »
Call code, APIs and functions with local or cloud kernels right from the command line
Persistent mutable expressions in the cloud »
CloudExpression to put expressions into the cloud that can be modified anytime
Connect to sockets »
Communicate through sockets just like through files
Cloud access through permissions keys »
Set up cloud objects so anyone with a key can access them
Web Interaction
Much fancier web forms »
Multipage, extensible, recyclable, etc. forms, with more kinds of controls
Handle your own URL dispatching »
URLDispatcher lets you symbolically define rules for different URLs
Get it asynchronously
URLSubmit and HandlerFunctions for asynchronous URL reading
Web deployed back-and-forth conversations »
Use AskFunction to set up arbitrary logic for user interactions ("interviews", "wizards"...)
The whole cookie store »
Detailed symbolic handling of getting, setting and storing cookies
APIs by mail »
Automatically execute code based on the receipt of email
