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More than 600 new functions in Version 13 plus loads of updates covering: symbolic integration, mathematical functions, PDE modeling, video creation, image stitching, tree constructs, graph coloring, subgraph isomorphism, spatial fields, leap seconds, maps, geometric regions, chemical formulas & reactions, bio sequences, flight data, multiaxis plots, dates as coordinates, infinite plot scales, visualization types, content detectors, machine learning visualization & diagnostics, controller tracking, Wolfram|Alpha notebooks, quizzes, persistent expressions, Function Repository, paclet creation, ...

How Inevitable Is the Concept of Numbers? May 25, 2021 Everyone Has to Have Numbers… Don’t They? The aliens arrive in a starship. Surely, one might think, to have all that technology they must have the idea of numbers. Or maybe one finds an uncontacted tribe deep in the jungle. Surely they too must have the idea of numbers. To us numbers seem so natural—and “obvious”—that it’s hard to imagine everyone wouldn’t have them. But if one digs a little deeper, it’s not so clear. It’s said that there are human languages that have words for “one”, “a pair” and “many”, b...

An update from Stephen Wolfram on the Physics Project. Exploration of models, connections to existing frameworks, space and time, quantum mechanics, experimental implications, applications to other fields.

January 21, 2021 It All Started with Feynman Diagrams Any serious calculation in particle physics takes a lot of algebra. Maybe it doesn’t need to. But with the methods based on Feynman diagrams that we know so far, it does. And in fact it was these kinds of calculations that first led me to use computers for symbolic computation. That was in 1976, which by now is a long time ago. But actually the idea of doing Feynman diagram calculations by computer is even older. So far as I know it all started from a single conversation on the terrace outside the cafeteria of the CERN particle physics l...