Stephen Wolfram

JUNE 28, 2023

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

JANUARY 9, 2024

Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. But even now there are still frontiers.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

DECEMBER 14, 2022

But it’s also got some “surprise” new dramatic efficiency improvements, and it’s got some first hints of major new areas that we have under development—particularly related to astronomy and celestial mechanics. Relativity also isn’t important in geography, but it is in astronomy. Introducing Astro Computation. Dates are complicated.

Astronomy 74

Astronomy Computer Construction Argumentation 74

Stephen Wolfram

JUNE 29, 2022

we have a new symbolic construct, Threaded , that effectively allows you to easily generalize listability. You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both.

Calculus 114

Calculus Construction Computer Argumentation 114

Stephen Wolfram

JANUARY 31, 2023

It began partly as an empirical law, and partly as something abstractly constructed on the basis of the idea of molecules, that nobody at the time knew for sure existed. But what’s important for our purposes here is that in the setup Carnot constructed he basically ended up introducing the Second Law.

Energy 88

Energy Physics Argumentation Mathematics 88