Stephen Wolfram

MARCH 23, 2023

And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences. But it doesn’t work unless the Wolfram Language code is exactly right.

Computer 145

Computer Mathematics Math Achievement 145

Stephen Wolfram

MARCH 7, 2022

So how about logic, or, more specifically Boolean algebra ? The axiom system we’ve used for Boolean algebra here is by no means the only possible one. And in terms of that operator the very simplest axiom system for Boolean algebra contains ( as I found in 2000 ) just one axiom (where here ? and Not ) is: &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. there are now many integrals that could previously be done only in terms of special functions, but now give results in elementary functions. And a third of a century later—in Version 13.0—we’re it can: &#10005.

Construction 67

Construction Computer Physics Accessibility 67

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

SEPTEMBER 9, 2021

In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. Ultimately one wants to see how the structure and behavior of the system can be broken down into elementary “tokens” and “events”.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. Ultimately one wants to see how the structure and behavior of the system can be broken down into elementary “tokens” and “events”.

Science 64

Science Sciences Physics Mathematics 64