National Science Foundation

SEPTEMBER 22, 2021

Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Yet we have not seen equal advances in achievement (National Center for Education Statistics, 2019). Domina et al.,

Algebra 76

Algebra Mathematics Flexibility Research 76

Stephen Wolfram

MAY 23, 2023

And for example doing a very simple piece of machine learning , we again get a symbolic object which can be used as a function and applied to an argument to get a result: And so it is with LLMFunction. By giving a second argument to LLMFunction you can say you want actual, structured computable output. are symbolic objects.

Technology 69

Technology Argumentation Computer Publication 69

Stephen Wolfram

JANUARY 31, 2023

But he had a second hypothesis too—based, he said, on the ideas of “that most ingenious gentleman, Monsieur Descartes”: that instead air consists of “flexible particles” that are “so whirled around” that “each corpuscle endeavors to beat off all others”.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

MARCH 7, 2022

But beginning a little more than a century ago there emerged the idea that one could build mathematics purely from formal axioms, without necessarily any reference to what is accessible to sensory experience. and at t steps gives a total number of rules equal to: &#10005. But what can we do with this statement? &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

MARCH 5, 2024

Should we think of it essentially as a practical tool for accessing existing methods, or does it provide something fundamentally new for science? of what’s now Wolfram Language —we were trying to develop algorithms to compute hundreds of mathematical special functions over very broad ranges of arguments. So how does AI stack up?

Science 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

FEBRUARY 3, 2023

Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. The energy of the particles is indicated here by the size of the “token dots”: Continuing this a few more steps we get: At the beginning we started with all particles having equal energies.

Computer 92

Computer Energy Physics Construction 92