National Science Foundation

DECEMBER 13, 2022

I teach four classes of 8 th grade Pre-Algebra every day. My school has a high percentage of Hispanic students, many of whom speak Spanish and English with equal facility. Only the most heartless among us would deny this young man access to a suitable class—he had literally moved to the country from Venezuela the day before.

Math 75

Math Mathematics Communications Algebra 75

Stephen Wolfram

JANUARY 23, 2025

Introducing Tabular Manipulating Data in Tabular Getting Data into Tabular Cleaning Data for Tabular The Structure of Tabular Tabular Everywhere Algebra with Symbolic Arrays Language Tune-Ups Brightening Our Colors; Spiffing Up for 2025 LLM Streamlining & Streaming Streamlining Parallel Computation: Launch All the Machines!

Computer 66

Computer Algebra Data Science Construction 66

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 121

Computer Calculus Construction Mathematics 121

STEM Education Shopping

JULY 19, 2023

It allows you to efficiently solve problems involving equal groups, arrays, and scaling. On the other hand, division enables you to distribute items equally or determine the number of groups within a given set. With Oryx math manipulatives, you can visualize and manipulate these algebraic concepts in a hands-on and engaging way.

Math 52

Math Data analysis Algebra Problem Solving 52

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

STEM Education Shopping

JULY 22, 2023

One of the best things about virtual blocks is that they’re easily accessible online. This helps you develop a deeper understanding of concepts such as greater than, less than, and equal to. They offer a unique way to explore geometry, making it more accessible and enjoyable.

Math 52

Math Data analysis Algebra Finance 52

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 Chemistry Critical Thinking 81

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 worked out really well since students got access to helpful resources and a break from time pressure, and I got more explanations of reasoning which led (in my view) to better data about student learning. These are both big leaps for me.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

Stephen Wolfram

MAY 25, 2021

The same is true of axioms for areas of abstract algebra like group theory—as well as basic Euclidean geometry (at least for integers). We also can’t tell whether numbers were just “convenient for proofs” or whether in fact the actual mathematical results picked to formalize were somehow based on their “accessibility” through numbers.

Mathematics 52

Mathematics Physics Computer Algebra 52

Stephen Wolfram

MARCH 5, 2024

Should we think of it essentially as a practical tool for accessing existing methods, or does it provide something fundamentally new for science? In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Will they be “accessible” to neural nets? So how does AI stack up?

Sciences 120

Sciences Science Computer Mathematics 120

Stephen Wolfram

SEPTEMBER 27, 2024

In general, the number of edges that come out of a single node in a evaluation graph will be equal to the number of instances of the function f that appear on the right-hand side of the recursive definition we’re using (i.e. But if we allow (random-access) memory, then the minimal graph becomes possible. Or the minimal one?

Computer 112

Computer Mathematics Argumentation Science 112

Stephen Wolfram

DECEMBER 11, 2023

And through our technology we also have access to a few thousand other kinds of measurements. In a physics analogy to the behavior of a gas, typical human mathematics operates not at the “molecular” level of individual emes (or even axioms) but rather at the “fluid dynamics” level of “human-accessible” mathematical concepts.

Physics 116

Physics Computer Mathematics Communications 116

STEM Education Shopping

JULY 19, 2023

For example, if you have a fraction bar that’s divided into four equal parts, you can see that each part represents one-fourth. By combining two of these bars, you can visually see that two-fourths is equal to one-half. This hands-on approach makes it much easier to grasp the concept of fractions and perform operations with them.

Math 52

Math Algebra Data analysis Problem Solving 52

STEM Education Shopping

JULY 22, 2023

Whether you’re learning basic arithmetic or exploring more advanced topics like fractions or algebra, virtual blocks offer a visually stimulating environment that encourages exploration and problem-solving. They provide a tangible way to interact with numbers, making abstract concepts more accessible and engaging.

Math 52

Math Algebra Mathematics Problem Solving 52

Stephen Wolfram

MAY 17, 2021

But what kind of integro-differential-algebraic equation can reproduce the time evolution isn’t clear. And in fact such probabilities tend to have the effect of hiding whatever complexity is intrinsically produced—even if they do “smooth out average behavior” to make things more accessible to traditional mathematical methods.

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. Turning from calculus to algebra, we’ve added the function PolynomialSumOfSquaresList that provides a kind of “certificate of positivity” for a multivariate polynomial. And a third of a century later—in Version 13.0—we’re

Construction 70

Construction Computer Physics Accessibility 70

Stephen Wolfram

OCTOBER 7, 2021

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. These could be algebraic constructs (such a polynomials) based on ordinary real or complex numbers. &#10005.

Physics 52

Physics Mathematics Algebra Construction 52

Stephen Wolfram

JANUARY 9, 2025

And in fact, to my knowledge, my Boolean algebra axiom is actually the only truly unexpected result thats ever been found for the first time using automated theorem proving. Essentially its to perform a sequence of purely structural symbolic operations that go from our axiom to known axioms of Boolean algebra. And thats interesting.

Mathematics 96

Mathematics Algebra Computer Natural Sciences 96