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 9, 2024

So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

JANUARY 31, 2023

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. But in other ways it’s also a cautionary tale, of how the forces of “conventional wisdom” can blind people to unanswered questions and—over a surprisingly long time—inhibit the development of new ideas.

Energy 88

Energy Physics Argumentation Mathematics 88

Magic EdTech

MAY 13, 2022

When confronted with real-world math problems with multiple answers, students will be able to think more creatively and flexibly. These programs enable students to achieve advanced knowledge and have been shown to improve critical thinking and problem-solving skills. How Can Academic Enrichment Boost Student Success?

Curriculum 52

Curriculum Argumentation Algebra Personalized Learning 52

Stephen Wolfram

JUNE 29, 2022

And for the past four years I’ve been sharing the “behind the scenes” of how it’s achieved—by livestreaming our Wolfram Language design review meetings. You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. And that’s finally been achieved in Version 13.1. In designing Version 13.1

Calculus 114

Calculus Construction Computer Argumentation 114

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”. This argument is quite rough, but it captures the essence of what’s going on. But what if we’re more flexible in what we consider the objective of the demon to be? Why does the Second Law work?

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

MARCH 5, 2024

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. Yes, there can be a lot of flexibility in this model. Back in 1987—as part of building Version 1.0 But one can’t have a truly “model-less model”.

Science 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

MARCH 7, 2022

And in what follows we’ll see the great power that arises from using this to combine the achievements and intuitions of physics and mathematics—and how this lets us think about new “general laws of mathematics”, and view the ultimate foundations of mathematics in a different light. and zero arguments: α[ ]. &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. But there is something else too—and it’s from this that the full computational paradigm emerges.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. But there is something else too—and it’s from this that the full computational paradigm emerges.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

MAY 20, 2021

1”) releases that deliver our latest R&D achievements—both fully fleshed out, and partly as “coming attractions”—much more frequently. has a very flexible way of representing its results, that allows for different numbers of variables, different numbers of solutions, etc. &#10005. We released Version 12.2 on December 16, 2020.

Computer 52

Computer Construction Physics Technology 52