Stephen Wolfram

MARCH 23, 2023

Thanks to some heroic software engineering by our team and by OpenAI , ChatGPT can now call on Wolfram|Alpha—and Wolfram Language as well—to give it what we might think of as “computational superpowers”. And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. But what about from the ChatGPT side?

Computer 145

Computer Mathematics Math Achievement 145

Stephen Wolfram

JANUARY 9, 2024

In addition to whole courses, we have “miniseries” of lectures about specific topics: And we also have courses —and books—about the Wolfram Language itself, like my Elementary Introduction to the Wolfram Language , which came out in a third edition this year (and has an associated course, online version, etc.):

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

DECEMBER 13, 2021

there are now many integrals that could previously be done only in terms of special functions, but now give results in elementary functions. Also in the area of calculus we’ve added various conveniences to the handling of differential equations. But in Version 13.0 Here’s an example: &#10005. In Version 12.3 CSGRegionTree[reg].

Construction 67

Construction Computer Physics Accessibility 67

Stephen Wolfram

SEPTEMBER 9, 2021

And in general to achieve a “ pathological result ” we’ll typically have to “reverse engineer” the underlying computational irreducibility of the system—which we won’t be able to do with a reference frame constructed by a computationally bounded observer. So how can one start developing a multicomputational model in a particular area?

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

And in general to achieve a “ pathological result ” we’ll typically have to “reverse engineer” the underlying computational irreducibility of the system—which we won’t be able to do with a reference frame constructed by a computationally bounded observer. So how can one start developing a multicomputational model in a particular area?

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

FEBRUARY 3, 2023

Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. But what if we’re more flexible in what we consider the objective of the demon to be?

Computer 92

Computer Energy Physics Construction 92