Stephen Wolfram

DECEMBER 14, 2022

Almost any algebraic computation ends up somehow involving polynomials. can be manipulated as an algebraic number, but with minimal polynomial: &#10005. And all of this makes possible a transformative update to polynomial linear algebra, i.e. operations on matrices whose elements are (univariate) polynomials. &#10005.

Astronomy 73

Astronomy Computer Construction Argumentation 73

Robert Talbert, Ph.D.

APRIL 1, 2022

This is the third installment of a series of posts focusing on the Four Pillars of Alternative Grading : The Four Pillars are a model that seeks to identify the elements that alternative forms of grading have in common elements whose primary goals are improving grading and making it focused on student growth.

Primary 52

Primary Mathematics Argumentation Algebra 52

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

Robert Talbert, Ph.D.

APRIL 15, 2022

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!) A misplaced trust in statistics.

Academic Standards 52

Academic Standards Communications Calculus Argumentation 52

Stephen Wolfram

AUGUST 22, 2023

Then McCarthy started to explain ways a computer could do algebra. It was all algebra. And the only conclusion we can arrive at is that a person can’t do this much algebra with the hope of getting it right.” Richard Feynman and I would get into very fierce arguments. And he says “There’s a problem. It’s just my nature.

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

MARCH 5, 2024

In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. 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. Back in 1987—as part of building Version 1.0

Science 123

Science Sciences Computer Mathematics 123

Stephen Wolfram

SEPTEMBER 9, 2021

But then—basically starting in the early 1980s—there was a burst of progress based on a new idea (of which, yes, I seem to have ultimately been the primary initiator): the idea of using simple programs , rather than mathematical equations, as the basis for models of things in nature and elsewhere. One is so-called Böhm trees.

Science 65

Science Sciences Physics Mathematics 65