Stephen Wolfram

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Physics 64

Physics Science Sciences Mathematics 64

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 121

Physics Mathematics Computer Construction 121

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. A lot of science—and technology—has been constructed specifically around computationally reducible phenomena. The system is doing a computation to determine its behavior.

Science 122

Science Sciences Computer Mathematics 122

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. And some places where we can expect the concept of numbers to be useful.

Mathematics 53

Mathematics Physics Computer Algebra 53

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

Stephen Wolfram

JANUARY 9, 2024

Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. One new construct added in Version 13.1 —and And now there’s a way to specify that, using Threaded : In a sense, Threaded is part of a new wave of symbolic constructs that have “ambient effects” on lists.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

JUNE 28, 2023

We introduced Duration to apply to explicit time constructs, things like Audio objects, etc. that isn’t directly related to typing, but will help in the construction of easy-to-navigate user interfaces. Squiggled : By default, all these constructs persist through evaluation. What about other kinds of constructs?

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

AUGUST 22, 2023

Indeed, so confident was he of his programming prowess that he became convinced that he should in effect be able to write a program for the universe—and make all of physics into a programming problem. It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus).

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

DECEMBER 14, 2022

An instantaneous moment (or perhaps a single elementary time from our Physics Project )? In physics textbooks, it’s traditional to carefully distinguish absolute temperatures, measured in kelvins, from temperature scales, like degrees Celsius or Fahrenheit. Almost any algebraic computation ends up somehow involving polynomials.

Astronomy 74

Astronomy Computer Construction Argumentation 74

Futurum

JULY 13, 2022

Mathematically, these records make it fairly easy to construct a supply chain network,” says Zach. There are many branches of maths, including algebra, geometry, calculus and statistics. Linear algebra, statistics and computer programming are particularly useful. “If ABOUT MATHEMATICS. PATHWAY FROM SCHOOL TO MATHEMATICS.

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

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.

Physics 87

Physics Construction Equality Science 87

Stephen Wolfram

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Science 64

Science Sciences Physics Mathematics 64

User Generated Education

AUGUST 18, 2018

It assumes that same age kids are alike in their intellectual, physical, emotional, and social development; that they have commonalities in addition to their age. This locked step is set by the ‘average’ pupil–an algebraic myth born of inanimate figures and an addled pedagogy. The Problem with Grouping Learners by Age.

Academic Standards 113

Academic Standards Algebra Problem Solving Construction 113

PCS Edventures

MARCH 4, 2020

Algebra , which incorporates unknown variables into arithmetic equations. Energy auditors have a very hands-on job that requires travel to construction sites to perform various tests, such as thermal infrared tests to identify heat accumulation, air leaks and air pressure. Explore the STEAM Series.

Mathematics 52

Mathematics Energy Architecture Government 52

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. We’ve seen a few specific example of “multiway addition systems”.

Physics 52

Physics Mathematics Algebra Construction 52

Stephen Wolfram

MAY 16, 2022

And what we, for example, experience as physical reality is in effect just our particular sampling of the ruliad. When I wrote A New Kind of Science I discussed the possibility that there might be a way to find a fundamental model of physics based on simple programs. The Intellectual Journey: From Physics to Physics, and Beyond.

Science 63

Science Sciences Mathematics Physics 63

Futurum

AUGUST 11, 2022

Raja was part of the team that created the first ever digital photo mosaic of the Andromeda galaxy, constructed by stitching together 57 images taken by a ground-based telescope. I liked all kinds of science when I was at school – biology, chemistry, physics. SHOULD WE BE WORRIED ABOUT A COLLISION WITH ANDROMEDA?

Astronomy 98

Astronomy Equality Research Research 98

Robert Talbert, Ph.D.

MARCH 11, 2022

Flipped learning as an organized concept first showed up in the Harvard physics classrooms of Eric Mazur in his early experiments with peer instruction in the 1990s. a lecture about algebra? Over hundreds of years, we'd coupled teaching with physical space, but as of March 2020 that was no longer a reliable option.

Learning 52

Learning Teaching Physics Math 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

Stephen Wolfram

MAY 20, 2021

Having this as a single function makes it easier to use in functional programming constructs like this: &#10005. But sometimes it’s much more convenient to get the subgraph (and in fact in the formalism of our Physics Project that subgraph—that we view as a “ geodesic ball ”—is a rather central construct). So in Version 12.3

Computer 52

Computer Construction Physics Technology 52

User Generated Education

OCTOBER 16, 2015

embers of these subcultures strive to blur the lines between creator and consumer by constructing a social network that ties users and makers close together. The phrase Do It Yourself along with its acronym is also commonly used where a layman endeavors to complete a project without the physical aid of a paid professional.

Education 108

Education Education Accessibility STEM 108

User Generated Education

JULY 7, 2016

embers of these subcultures strive to blur the lines between creator and consumer by constructing a social network that ties users and makers close together. The phrase Do It Yourself along with its acronym is also commonly used where a layman endeavors to complete a project without the physical aid of a paid professional.

Education 60

Education Education Accessibility STEM 60