Wolfram Blog

• 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 (LLMs) had become powerful enough to move from impressive demonstrations to serious mathematical and scientific use. AI systems reached gold-medal level at the […]

• 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 primitives. Here, the focus will be instead on the use of mesh-based primitives from computational geometry to build a realistic 3D model of a roundel recently […]

• 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 (ODEs) and partial differential equations (PDEs). I’m excited to announce that the notebook version of Laplace Transforms in Theory and Practice: A Computational Approach by Hrachya Khachatryan […]

• 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 and log has always required multiple distinct operations. Here I show that a single binary operator, eml(x,y)=exp(x)-ln(y), together with the constant 1, generates the standard […]

• 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 HACKATHON with the purpose of detecting and classifying breast cancer using Wolfram Language. This competition aims to introduce girls from Colegios Científicos to programming, promote female participation in […]

• Checkmate! Dominate the Competition by Learning Game Theory with Wolfram Language

  “‘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, Politics, and Everyday Life How do people make decisions? How close can mathematics imitate complex decision-making scenarios? What is rationality, really? What […]

• 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 the Bloch sphere—a unit sphere whose poles are |0〉and |1〉and whose equator holds the superposition states. This document builds the complete computational machinery for rotating the Bloch vector from the north pole to any target point, then measuring that state through the dispersive readout chain that a real cQED experiment uses. Every formula is immediately verified with TransmonLab code: if we cannot compute it, we cannot claim to understand it.

• 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. You can get your free copy of the e-book here: https://www.wolfram-media.com/products/essentials-of-complex-analysis This e-book is the companion to the free course on complex analysis on Wolfram U, and is an introduction to the subject for a first undergraduate course.

• 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 undergo a free-return trajectory that whips the crew around the Moon and back along an asymmetric […]