Robert Talbert, Ph.D.

FEBRUARY 10, 2023

As I teach my Linear Algebra and Differential Equations class this semester, which uses more computing than ever, I'm thinking even more about these topics. The computer is a tool for studying mathematical ideas in the same sense that a microscope is for studying biology and a telescope is for studying astronomy.

Mathematics 52

Mathematics Computer Algebra Calculus 52

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 73

Astronomy Computer Construction Argumentation 73

Stephen Wolfram

JUNE 28, 2023

And, yes, when you try to run the function, it’ll notice it doesn’t have correct arguments and options specified. But what if we ask a question where the answer is some algebraic expression? And, yes, it’s taken a while, but now in Version 13.3 But at first only some date functions supported granularity; now in Version 13.3

Computer 117

Computer Calculus Construction Mathematics 117

Stephen Wolfram

JANUARY 9, 2024

The function Map takes a function f and “maps it” over a list: Comap does the “mathematically co-” version of this, taking a list of functions and “comapping” them onto a single argument: Why is this useful? But we wanted to be able to compute hundreds of different functions to arbitrary precision for any complex values of their arguments.

Computer 103

Computer Calculus Construction Accessibility 103

Stephen Wolfram

MAY 20, 2021

we’re connecting to “Descartes-style” analytic geometry, converting geometric descriptions to algebraic formulas. Given three symbolically specified points, GeometricTest can give the algebraic condition for them to be collinear: &#10005. Tree takes two arguments: a “payload” (which can be any expression), and a list of subtrees.

Computer 52

Computer Construction Physics Technology 52