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. In the original article, I gave a list of what computing skills mathematics majors should learn and when they should learn them.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

Futurum

DECEMBER 6, 2022

. • For a career in computer science, commonly desirable subjects to study at school and post-16 include mathematics, computer science, statistics and physics. If you are interested in BCIs and similar technologies, biology or psychology may also prove useful. •

Computer 70

Computer Computer Science Artificial Intelligence Research 70

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be.

Science 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

NOVEMBER 10, 2021

And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). Experiencing the Ruliad.

Physics 121

Physics Mathematics Computer Construction 121

Futurum

JUNE 6, 2023

Pathway from school to gynaecology • During high school and post-16-years, study biology, chemistry, physics and mathematics. In addition, math skills that will help would be algebra, geometry, statistics and probability,” she adds. How is Cindy studying LUTD?

Research 98

Research Research Biology Physics 98

Stephen Wolfram

DECEMBER 11, 2023

But here we want to think not about what’s “mathematically describable”, but instead about what in general is actually implemented —say by our senses, our measuring devices, or our ways of analyzing things. And one particularly prominent example of this is mathematics, or rather, metamathematics. But other features do not.

Physics 120

Physics Mathematics Computer Communications 120

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

MAY 16, 2022

My original goal in A New Kind of Science was to take a step beyond the mathematical paradigm that had defined the state of the art in science for three centuries—and to introduce a new paradigm based on computation and on the exploration of the computational universe of possible programs. But there’s more.

Science 63

Science Sciences Mathematics Physics 63

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? You need to be able to easily define mathematically complicated boundary conditions. are Comap and ComapApply. In Version 3.0

Computer 102

Computer Calculus Construction Accessibility 102

Futurum

AUGUST 11, 2022

I liked all kinds of science when I was at school – biology, chemistry, physics. I work with the Project for Inmate Education programme at UCSC, where I teach algebra and astronomy in Santa Cruz jail facilities. I was also interested in sports and enjoyed both watching and playing lots of different sports.

Astronomy 98

Astronomy Equality Research Research 98

Stephen Wolfram

MAY 17, 2021

But what kind of integro-differential-algebraic equation can reproduce the time evolution isn’t clear. And in 1952 John von Neumann , in his “ Probabilistic Logics and the Synthesis of Reliable Organisms from Unreliable Components ”, began to give a mathematical structure for analyzing this.

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

AUGUST 22, 2023

It explains that III has four divisions: Mathematical and Programming Services, Behavioral Science, Operations, and “New York”. Then McCarthy started to explain ways a computer could do algebra. It was all algebra. So what happened is Marvin [Minsky] and I basically fleshed out the idea of a mathematical thing.

Computer 67

Computer Physics Science Sciences 67