# Wolfram Mathematica

## Sample Additional Highlights for Existing Mathematica Users(Except as noted, all features are available for both desktop and cloud.)

### Math

#### Constants of integration

Automatic generation of integration, summation, etc. constants

#### Unlimited limits

Multivariate limits, lim sup, sequence limits and all that

#### "By hand" equation manipulation

AddSides, MultiplySides, DivideSides, etc. (but always correct)

#### Asymptotic analysis »

Big O, little o, WKB, asymptotic solutions and all that

#### Prove it!

Generate symbolic proofs from axioms with FindEquationalProof

#### Complex number plots »

Complex plane, complex values; 2D, 3D; functions, data

#### Unintimidating roots

Simpler formatting for Root[] objects

#### Formal but less dotty

etc. to indicate formal variables more elegantly

### Visualization

#### Scaled plots

Give your own scaling function (log, probability, etc.)

#### Stacked plots »

Show multiple datasets in stacked, percentile, etc. form

#### Multipanel plots »

Arrays of plots with common axes

#### Labeling is automatic

Callout, Labeled, etc. to automatically label points, lines, surfaces, features, etc.

### Geometry

#### Way beyond Platonic solids »

Full computational treatment of polyhedra (served beveled, snubbed, ...)

#### Polygons: the full story »

Polygons that wind, cross, have holes, etc.

#### Region[] is now a thing »

Automatically visualized regions (implicit, explicit, ...)

#### Automated Euclid (and geometric drawing)

Euclid-style geometry (CircleThrough, Midpoint, ...) solved with FindGeometricConjectures etc.

#### Turtles in space

AnglePath3D for 3D "turtle-like" paths

### Data, Computation & New Directions

#### Numbers with uncertainty »

x ± dx for computation, visualization, etc.

#### Building in industrial-strength systems engineering

SystemModel, SystemModelSimulate, SystemModelPlot, ... for machines, circuits, pathways

#### Industrial convex optimization »

Quadratic, semidefinite, conic, ... optimization for problems big and small

#### Molecules are symbolic expressions too »

Visualization and computation with arbitrary (organic) molecules

#### Join the blockchain revolution »

Read, write, analyze, transact on Bitcoin, Ethereum, etc.

### Language Conveniences

#### ReverseSort »

Now there is a single function to sort largest first

#### Graphs keep their properties

Properties are automatically inherited when graph operations are done

#### Information[] on everything »

Standardized way to get information on objects (images, audio, cloud objects, entities, ...)

#### Granular dates »

Specify a day, week, month, etc. as well as a moment in time

#### Name that cellular automaton! »

Association-based specifications for cellular automaton rules

#### More operator forms (AKA currying)

Map, Select and more have operator forms, and Curry makes any function an operator

### Notebook Innovations

#### In + Out labeled forever

In[•] and Out[•] to label input and output, even without a kernel

#### Iconize! »

Store code and data directly in a notebook, formatting only as an icon

#### Out-of-notebook storage

Summaries of Audio, SparseArray, etc. give a choice of storage location

#### Give your presentations with notebooks »

New Presenter Notebooks for rich screen size–adaptive interactive presentations

#### Mac front end is 64 bit!

Full support of modern 64-bit Cocoa for notebooks on the Mac (> 2 GB etc.)

#### Do you see that closed cell group?

Automatic indicators to make it easier to notice closed cell groups

Qt 5 support, enabling rendering without an X server

### Geo

#### Bubble visualization

GeoBubbleChart to visualize values on maps

#### Random places

RandomGeoPosition for random points in any region (country etc.)

#### Satellite imagery of everywhere

GeoImage for high-resolution imagery, not just of Earth

#### Vectors on Earth

Winds, paths, etc.: GeoVector, GeoStreamPlot, etc.

### Machine Learning

#### Attention, transformers

AttentionLayer etc. integrated into the symbolic neural net framework

#### Did you expect that? »

Automatic anomaly detection for all forms of data

#### The world of feature space

FeatureSpacePlot, FeatureSpacePlot3D... and lots of built-in feature extractors

#### Multi-GPU and all that

State-of-the-art, high-efficiency neural net training

#### Watch that machine learn!

Fully interactive machine learning dashboard for training and more

#### Visualize that neural net

Automatic visualization of neural net structures (with drill down)

MXNet export of core neural net structures

#### All the latest neural nets

The Wolfram Neural Net Repository with immediately computable nets for NetModel

#### A distribution of cat pictures

LearnDistribution for distribution of any type of data

### Image Computation

#### Screen capture »

Not just from a camera, but also what is on the screen

#### Find those faces

FacialFeatures for finding faces and their features in an image

#### Paint like van Gogh

ImageRestyle for automatic restyling of images

#### Vectorizing bitmap graphics

ImageGraphics to heuristically convert bitmaps to vector graphics

#### Make that hue blue

ImageRecolor, ColorsNear, etc. to manipulate and recolor images

### Audio

#### Find that sound!

WebAudioSearch, AudioIdentify, etc.

#### Record that audio!

Capture sound to an Audio[] object

#### Audio from spectrograms

Infer audio from a spectrogram image with InverseSpectrogram

#### iPhone audio formats

M4A import and export

#### Use voice input (and get text)

Transcribe text from speech audio with SpeechRecognize

#### Speak and compute »

Synthesize speech from text as computable audio

### Natural Language Processing

State-of-the-art Q&A from textual passages with FindTextualAnswer

#### Industrial-strength entity extraction

Countries, dates, movies, whatever: pick them out of text with TextCases

#### Text translation service

Translate between languages using an external service

### Faster, Smaller, Stronger...

#### Compilation all the way to machine code »

Experimental compiler from the Wolfram Language to LLVM

#### Raw numeric arrays

NumericArray for efficient storage of raw types (Integer16, ...)

### Knowledgebase

#### No need to load Knowledgebase data

Automatic predictive (or manual) prefetching of Wolfram Knowledgebase data

#### Immediate implicit entity queries

First, largest, most, etc. direct queries on entity types and classes

#### Programmatically search the web

Find pages and images with WebSearch and WebImageSearch

264 types of entities now integrated directly into the Wolfram Language

### Systems & Developer

#### No more init.m!

Programmatically settable initialization of values

#### Digital signatures for anything »

Create and verify digital signatures

#### WolframScript editor

Create and edit .wl and .wls files from File > New

In a session, on your machine or in the cloud

#### Communicate through byte arrays

Import, export, string-convert, etc. directly with byte arrays

#### PersistentValue: persist anything anywhere »

This notebook, this machine, this user, ...: persist code and data anywhere

#### Fire-and-forget web operations

Asynchronously submit to a URL, with callbacks

#### Serialize anything with WXF »

Efficiently store and transmit any expression in binary form

### External Operations

#### Seamless remote file operations

Use RemoteFile in CopyFile etc., authenticating as you need

#### It is a mail client/analyzer too! »

Connect to any IMAP server and read/analyze/modify mail folders

#### Built-in SSH

RemoteRun etc. to run processes through SSH on remote machines

#### Symbolic network analyzer »

Capture network packets going to and from your machine

### Talking to Databases

#### MongoDB

Read and write data in MongoDB

#### Terabyte databases are no problem

Full symbolic layer for seamlessly accessing SQL databases

#### SPARQL, RDF, IRIs & all that »

Programmatically access graph databases and triplestores

### Bringing in Data

#### Better, faster CSV, XLS

Much more efficient (and robust) import and export of tabular data

#### JSON everything

BSON, UBJSON, GeoJSON, ...

#### Get a picture of that webpage

WebImage to get an image of any webpage

#### The full HDF5

Complete import and export of expressions to HDF5

#### Bloomberg & Reuters

Real-time and asynchronous financial data feeds (Wolfram Finance Platform only)

### Interacting with the Outside

#### Go autonomous with microcontrollers »

Deploy control systems and filters directly to microcontrollers

#### Python cells, right in a notebook

Use > to start a Python cell, then get results back in the Wolfram Language

Programmatically interact with a web browser

#### Evaluate Python, JavaScript, ...

ExternalEvaluate to call code directly from the Wolfram Language

#### Make a game for Unity »

Create geometry, get telemetry... or programmatically make a full game

#### Send yourself a text »

SMS, MMS: programmatically send text messages

### In the Cloud

#### Wolfram Function Repository »

Instantly access (and contribute to) a public repository of functions

#### One-click notebook publishing

File > Publish to Cloud: for the world, or with a password