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Launching Version 15 of Wolfram Language & Mathematica: Built-in (Useful) AI...

June 23, 1988 is when we launched Version 1.0 of Mathematica. Today—almost 38 years later—we’re launching Version 15 of what—in recognition of how far it’s expanded beyond “math”—we now call Wolfram...

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OpenAI Disproves Erdős Unit Distance Conjecture

The Erdős unit distance problem asks for the largest possible number u(n) of unit distances among n points in the plane. This is equivalent to finding maximally dense unit-distance graphs. A recent...

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Theory Meets Practice: 8 Books to Start Your Career in Astrophysics,...

In or out of school, the opportunities to learn and grow in your career are endless, and Wolfram is proud to bolster those with educational resources, from courses to textbooks. We are happy to share...

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Compression and Recompression of JPEG: Stability, Artifacts and Iterative...

Every semester or two, students ask me about the implications of re-compression, especially of JPEG files. Compression comes in two main kinds—Lossless, which is completely invertible, meaning you get...

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A Data Adventure in Boston, 1929: Historical Census Corpus Analysis

I am writing a novel. It’s a historical fiction thing. Apparently, that means I need to do a lot of research on what life was like in the 1920s. ​ My problem last night was, my character moves to...

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LLMs, Symbolic Computation and the Future of Mathematical Discovery

“The cat’s out of the bag,” said the mathematician Andrew Granville, reflecting on the rapid improvement of AI systems. His phrase captures the mood of the moment: by 2025-26, large language models...

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Computational Geometry Modeling of the Neolithic Circular Ditch in Vinoř, Prague

This tutorial is a follow-up to a recent post by the author herself about archeoastronomical modeling of Central European Neolithic Circular Ditches [1], or roundels, with Wolfram 3D graphical...

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A Modern eTextbook on Laplace Transforms for Engineering, Science and More

The Laplace transform is such an effective tool for solving problems in the fields of science and engineering—it’s one of the main tools available for solving both ordinary differential equations...

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All Elementary Functions from a Single Binary Operator

A single two-input gate suffices for all of Boolean logic in digital hardware. No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, sqrt...

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A Computational Approach to Early Breast Cancer Detection Using Wolfram

Wolfram Language is a multi-paradigm programming language designed for functional programming. It is mainly used in Wolfram|Alpha and Mathematica. ​ This year, Texas Tech University organized a...

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Checkmate! Dominate the Competition by Learning Game Theory with Wolfram...

“‘Tis better to have loved and lost than never to have loved at all.’ In other words, love is a dominant strategy.” ― Avinash K. Dixit, Thinking Strategically: The Competitive Edge in Business,...

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Transmon cQED: Wolfram x Qolab Collaboration

It was a great pleasure to present this demo at APS 2026 alongside 2025 Nobel Laureate in Physics John Martinis, CTO of Qolab, and my good friend Paul Buttles from Qolab. A pure qubit state lives on...

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Essentials of Complex Analysis: A Computational Approach

I am pleased to announce that the Wolfram Notebook version of Essentials of Complex Analysis: A Computational Approach was published by Wolfram Media on December 16, 2025, ISBN-13: 978-1-57955-096-7....

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Artemis II Trajectory: Crewed Lunar Flyby to Launch on April 1, 2026

On April 1, 2026, NASA will launch the first crewed space mission around the Moon since the Apollo era. Known as Artemis II, the mission will not land on the Moon, nor will it orbit the Moon, but will...

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Building an Audio Effects Pipeline in Wolfram Language

Every sound you hear in a movie, a song or a phone call, has been shaped by audio effects—filters that cut unwanted noise, reverb that simulates the acoustics of a concert hall, pitch shifts that raise...

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Quantum Computation for Research and Business

Design quantum circuits, simulate their behavior and connect to real hardware—all from a single Wolfram Language notebook. Wolfram’s quantum tools provide an integrated environment to design, simulate...

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Numerical Simulation & Nonlinear Dynamics in Rotating Magnetoconvection:...

This study presents a comprehensive numerical investigation of magnetohydrodynamic (MHD) convection in a conductive fluid subjected to a rotating magnetic field within a rectangular cavity. The model...

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Wolfram’s AI Products: Which Tool is Right for You?

Wolfram has developed several features for integrating our technology with LLMs. The major products are chat notebooks, Notebook Assistant, LLM functions, remote MCP server, the MCPServer paclet and...

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Investigating Validity of AI-Derived Stripped Gluon Amplitudes with Symbolic...

A new paper arrived on the ArXiv last week which has generated a lot of attention across social media: “Single-minus gluon tree amplitudes are nonzero.” Within the paper, the authors present various...

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Learning Decision Process Theory with a Wolfram Language Toolkit

In our daily lives, individuals, corporations and societies are constantly involved in making decisions. We hope to make optimal choices, especially when faced with recurrent decision processes. Thus...

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