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Computation & Analysis

You Can’t Have a Function Repository without Having Some Fun

While programming in the Wolfram Language, I am able to quickly and easily get results—one of the best aspects of writing code in a high-level language. The Wolfram Language is so easy to use that I have the freedom to pursue ideas on a whim, even if I know those ideas may not accomplish anything great or work toward a larger goal. In most cases, within a few minutes I figure out if the idea is a dead end. I also figure out if I am on the path to creating something useful or, better yet, fun.

Best of Blog

Generative Adversarial Networks (GANs) in the Wolfram Language

A noteworthy achievement of artificial intelligence, since it is driven by artificial neural networks under the label deep learning, is the ability to create artistic works to generate images, text and sounds. At the core of this breakthrough is a basic method to train neural networks that was introduced by Ian Goodfellow in 2014 and was called by Yann LeCun “the most interesting idea in the last 10 years in machine learning”: generative adversarial networks (GANs). A GAN is a way to train a generative network that produces realistic-looking fake samples out of a latent seed, which can be some arbitrary data or random numbers sampled from a simple distribution. Let’s look at how to do so with some of the new capabilities developed for Mathematica Version 12.1.

Computation & Analysis

Digital Vintage Sound Modeling Analog Synthesizers with the Wolfram Language and System Modeler

Explore the contents of this article with a free Wolfram System Modeler trial. Have you ever thought about making your own musical instruments? What about making mathematical models of your instruments? Whether you're someone looking for a cost-effective alternative, a minimalist with dreams of maximalist sounds or a Wolfram Language enthusiast curious about sound design, you can build a virtual version of a modular synthesizer using Wolfram System Modeler.

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Two Lines of Code to Bulletproof Encryption: Advancements in Cryptography Development in the Wolfram Language

Cryptography functionality in the Wolfram Language has been growing significantly ever since it was originally released in Version 10.1. In the latest release, we added support for generation and verification of digital signatures for expressions, files and cloud objects; you can encrypt or digitally sign anything—from simple messages to images or code. In order to maintain our users’ security and safety, we base our algorithms on OpenSSL libraries. While OpenSSL normally requires a great deal of experience to use, integration with the Wolfram Language has made it simple.
Education & Academic

Using Integer Optimization to Build and Solve Sudoku Games with the Wolfram Language 

Sudoku is a popular game that pushes the player’s analytical, mathematical and mental abilities. Solving sudoku problems has long been discussed on Wolfram Community, and there has been some fantastic code presented to solve sudoku problems. To add to that discussion, I will demonstrate several features that are new to Mathematica Version 12.1, including how this game can be solved as an integer optimization problem using the function LinearOptimization, as well as how you can generate new sudoku games.

Computation & Analysis

Computational Video Premieres in Wolfram Language 12.1

Version 12.1 of the Wolfram Language introduces the long-awaited Video object. The Video object is completely (and only) out-of-core; it can link to an extensive list of video containers with almost any codec. Most importantly, it is bundled with complete stacks for image and audio processing, machine learning and neural nets, statistics and visualization and many more capabilities. This already makes the Wolfram Language a powerful video computation platform, but there are still more features to explore.

Education & Academic

From Sine to Heun: 5 New Functions for Mathematics and Physics in the Wolfram Language

Mathematica was initially built to be a universal solver of different mathematical tasks for everything from school-level algebraic equations to complicated problems in real scientific projects. During the past 30 years of development, over 250 mathematical functions have been implemented in the system, and in the recent release of Version 12.1 of the Wolfram Language, we’ve added many more, ranging from the elementary Sin function to the advanced Heun functions.