National Science Foundation

DECEMBER 13, 2022

After all, everyone knows that mathematics is the universal language. Yes, there is something inspiring about Galileo’s famous phrase—“Mathematics is the alphabet with which God has written the universe.” I teach four classes of 8 th grade Pre-Algebra every day. And yet, I want to propose that we stop saying that blithe phrase.

Math 75

Math Mathematics Communications Algebra 75

Robert Talbert, Ph.D.

FEBRUARY 11, 2022

Here's the one from Winter 2021 for calculus and here's the one for modern algebra. This semester I taught two sections of Discrete Structures for Computer Science 1, an entry-level course for Computer Science majors on the mathematical foundations of computing. Nearly all the students are CS majors.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

STEM Education Shopping

JULY 22, 2023

These virtual tools are designed to help you understand and master various mathematical concepts in a fun like playing games and interactive way. Dive into the world of online math manipulatives and take your mathematical skills to the next level! They offer a unique way to explore geometry, making it more accessible and enjoyable.

Math 52

Math Data analysis Algebra Finance 52

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. Should we think of it essentially as a practical tool for accessing existing methods, or does it provide something fundamentally new for science? So how does AI stack up? There’s a curious historical resonance to all this.

Science 122

Science Sciences Computer Mathematics 122

Futurum

SEPTEMBER 12, 2023

Library and research skills cover areas such as knowing how to reference and cite authors properly, being able to discern between reliable and unreliable sources of information, accessing scientific literature and giving accurate evidence-based arguments when writing scientific essays and reports.

Biology 81

Biology STEM Critical Thinking Chemistry 81

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 through our technology we also have access to a few thousand other kinds of measurements. But other features do not.

Physics 120

Physics Mathematics Computer Communications 120

Stephen Wolfram

MAY 25, 2021

Fast numbers-based ways to do particular computations are often viewed as representing “ exact solutions ” to corresponding mathematical problems. Still, there is in a sense one other kind of computational reducibility that we do know about, and that’s been very widely used in mathematical science: the phenomenon of continuity.

Mathematics 53

Mathematics Physics Computer Algebra 53

Futurum

AUGUST 11, 2022

LIGHT-YEAR – the distance travelled by light in one year (equal to ~9,000,000,000,000 km). I have also been advocating for STEM programmes to develop more flexibility and to be more accessible. I work with the Project for Inmate Education programme at UCSC, where I teach algebra and astronomy in Santa Cruz jail facilities.

Astronomy 98

Astronomy Equality Research Research 98

Stephen Wolfram

OCTOBER 7, 2021

And the involvement of numbers will often allow us to make immediate use of traditional mathematical methods. or ) must for example be equal to 1 mod 2, 3 and 6. But it seems at least conceivable that this one might be more accessible to proof than most. This structure is very dependent on the algebraic properties of.

Physics 52

Physics Mathematics Algebra Construction 52

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. the same integral could still be done, but only in terms of elliptic integrals : Mathematical Functions: A Milestone Is Reached. has lots of specific mathematical enhancements. we’re delivering another jump forward.

Construction 67

Construction Computer Physics Accessibility 67

Stephen Wolfram

JUNE 28, 2023

The Wolfram Language is important to LLMs—in providing a way to access computation and computational knowledge from within the LLM. We’ve always built—and deployed—Wolfram Language so it can be accessible to as many people as possible. But the advent of LLMs—and our new Chat Notebooks —opens up Wolfram Language to vastly more people.

Computer 118

Computer Calculus Construction Mathematics 118

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