STEM Education Shopping

JULY 22, 2023

Virtual blocks also provide a safe and mess-free alternative to traditional physical blocks. This helps you develop a deeper understanding of concepts such as greater than, less than, and equal to. Instead of just seeing numbers on a page, you can physically see and touch the bars, which helps to reinforce the concept of fractions.

Math 52

Math Data analysis Algebra Finance 52

Robert Talbert, Ph.D.

MARCH 25, 2022

There’s a discernible physical component to learning. in algebraic topology from a top-25 research university. So I’ll just say I’m thankful for what I’ve learned in the minicourse and equally thankful for the reminders about learning as I head back into the classroom next week. And I have a Ph.D.

Teaching 52

Teaching Learning Algebra Personalized Learning 52

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

Futurum

SEPTEMBER 12, 2023

Biology is often combined with engineering, medicine, psychology, sociology, chemistry, physics or mathematics, so that scientists can tackle complex, real-world problems. Explore careers in biology • At high school and post-16 years, choose biology, chemistry and physics classes. “If

Biology 81

Biology STEM Critical Thinking Chemistry 81

Stephen Wolfram

JANUARY 9, 2023

It happened with our Physics Project in 2020. It’s equally, if not more, important for human-like AIs as well—immediately giving them what we can think of as computational knowledge superpowers, that leverage the non-human-like power of structured computation and structured knowledge. ChatGPT and Wolfram|Alpha.

Computer 145

Computer Communications Achievement Mathematics 145

STEM Education Shopping

JULY 19, 2023

By physically manipulating these blocks, you can practice counting, addition, and subtraction. By placing them side by side, you can physically see that when you combine 2 and 3, you get 5. By physically removing the blocks, you can see how the quantity decreases, reinforcing the concept of subtraction.

Math 52

Math Algebra Data analysis Problem Solving 52

Stephen Wolfram

MAY 25, 2021

The history of physics might make one think that numbers would be a necessary part of the structure of any fundamental theory of our physical universe. But the models of physics suggested by our Physics Project have no intrinsic reference to numbers. We discussed above the example of fundamental physics.

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

NOVEMBER 10, 2021

It’s yet another surprising construct that’s arisen from our Physics Project. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. And here is a rulial multiway system made from hypergraph rewriting of the kind used in our Physics Project , using all rules with signature : &#10005.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

DECEMBER 11, 2023

But what we’ve discovered particularly dramatically in our Physics Project is that the nature of us as observers is critical even in determining the most fundamental laws we attribute to the universe. But the notion of observers—and observer theory—isn’t limited purely to “physical observers”.

Physics 120

Physics Mathematics Computer Communications 120

Futurum

AUGUST 11, 2022

LIGHT-YEAR – the distance travelled by light in one year (equal to ~9,000,000,000,000 km). I liked all kinds of science when I was at school – biology, chemistry, physics. I was used to solving maths, physics, and chemistry problems, but they were invariably problems that someone had set and, therefore, knew the answer to.

Astronomy 98

Astronomy Equality Research Research 98

Stephen Wolfram

MARCH 5, 2024

A key idea—ultimately supported at a foundational level by our Physics Project —is that we can think of everything that happens as a computational process. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Imagine we’re studying some physical process.

Science 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

NOVEMBER 3, 2023

Multiway systems have a central role in our Physics Project , particularly in connection with quantum mechanics. But in studying multiway systems for aggregation and tiling, we’ll be dealing with something that is immediately more physical and tangible. For the 8:{3} rule something surprising happens.

Physics 87

Physics Construction Equality Science 87

Stephen Wolfram

JUNE 28, 2023

Even back in Version 1.0 , when the documentation was a physical book, there were “See Also’s” between functions: And by now there’s a complicated network of such See Also’s: But that’s just the network of how functions point to functions. But what if we ask a question where the answer is some algebraic expression? And in Version 13.3

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

OCTOBER 7, 2021

In our Physics Project , the states are combinations of relations between elements, represented by hypergraphs. In our Physics Project, a state corresponds to a hyperedge which contains many hyperedge tokens, and the update rule typically consumes multiple hyperedges. or ) must for example be equal to 1 mod 2, 3 and 6.

Physics 52

Physics Mathematics Algebra Construction 52

Stephen Wolfram

MAY 17, 2021

In preparation for a conference entitled “ Distributed Consensus with Cellular Automata & Related Systems ” that we’re organizing with NKN (= “New Kind of Network”) I decided to explore the problem of distributed consensus using methods from A New Kind of Science (yes, NKN “rhymes” with NKS) as well as from the Wolfram Physics Project.

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 67

Construction Computer Physics Accessibility 67