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

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 121

Computer Calculus Construction Mathematics 121

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. Students working on designing and building furniture for their classroom use algebra and geometry to figure out the dimensions. The maker movement: A learning revolution ).

Education 110

Education Education Accessibility STEM 110

STEM Education Shopping

JULY 19, 2023

By using geometric shapes, you can build and construct various polygons, such as triangles, quadrilaterals, and pentagons. Algebra Tiles for Algebraic Manipulations Now that you have a solid understanding of base ten blocks for place value understanding, let’s move on to another powerful tool for algebraic manipulations: algebra tiles.

Math 52

Math Algebra Data analysis Problem Solving 52

Stephen Wolfram

NOVEMBER 10, 2021

It’s yet another surprising construct that’s arisen from our Physics Project. In some ways it’s a bit like our efforts to construct the ruliad. In constructing it, one can imagine using Turing machines or hypergraph rewriting systems or indeed any other kind of computational system. As an analogy, consider the real numbers.

Physics 121

Physics Mathematics Computer Construction 121

User Generated Education

JANUARY 2, 2017

Our vision is that every student in every school should have the opportunity to learn computer science, just like biology, chemistry or algebra. ® is a non-profit dedicated to expanding access to computer science, and increasing participation by women and underrepresented minorities. https://code.org/about. https://www.youtube.com/watch?v=a2LIR4TEiaI.

Computer Science 99

Computer Science Robotics Computer Elementary 99

User Generated Education

MARCH 12, 2023

Agrinautica is designed for 4th and 5th graders learning mathematical expression-building and order of operations, important pre-algebra skills. Standards Addressed Next Generation Science Standards ETS1.C: I was so excited to discover this online math game. Here is one group’s setting for their story created through this game.

Science 62

Science Sciences Algebra Mathematics 62

Futurum

OCTOBER 4, 2022

They developed a ‘peeling technique’, whereby the electronic components are constructed on conventional fabrication substrates that can withstand high temperatures and corrosive chemicals but can then be thinly peeled off and transferred elsewhere. HOW DID CHI HWAN BECOME A BIOMEDICAL ENGINEER?

Biomedical Engineering 107

Biomedical Engineering Engineering Research Research 107

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

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

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 100

Computer Calculus Construction Accessibility 100

Robert Talbert, Ph.D.

MAY 19, 2023

Second, students construct a final portfolio of work that shows how they have grown and/or met key course objectives. Insofar as it means anything, alternative forms of grading -- including but not limited to ungrading -- improve the "rigor" of a course by imbuing the course grade with more construct validity.

Publication 73

Publication Communications Construction Academic Standards 73

Stephen Wolfram

SEPTEMBER 29, 2023

And if we treat these as equivalent and merge them we now get: (The question of “state equivalence” is a subtle one, that ultimately depends on the operation of the observer, and how the observer constructs their perception of what’s going on. It’s a new kind of fundamentally multiway construct.

Physics 106

Physics Computer Argumentation Construction 106

STEM Sport

MAY 17, 2022

For a long-term project, students can choose a historical monument, research it, create architectural plans for their building and then construct it using a variety of materials. This is useful whether it is basic addition and subtraction, or more complex topics such as geometry and algebra.

Problem Solving 52

Problem Solving Architecture STEM Geography 52

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. Students working on designing and building furniture for their classroom use algebra and geometry to figure out the dimensions. The maker movement: A learning revolution ).

Education 61

Education Education Accessibility STEM 61

Stephen Wolfram

SEPTEMBER 27, 2024

Just like in our original f [0] = 1 case, we can construct “blue graph trees” rooted at each of the initial conditions. But it turns out that the fact that this can happen depends critically on the Ackermann function having more than one argument—so that one can construct the “diagonal” f [ m , m , m ].

Computer 112

Computer Mathematics Argumentation Science 112

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

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Physics 67

Physics Science Sciences Mathematics 67

Stephen Wolfram

MAY 25, 2021

Presumably it’s that we can sample space without having to think about time, or in other words, that we can consistently construct a stable notion of space. The same is true of axioms for areas of abstract algebra like group theory—as well as basic Euclidean geometry (at least for integers). But there is a subtlety here.

Mathematics 52

Mathematics Physics Computer Algebra 52

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Science 61

Science Sciences Physics Mathematics 61

Stephen Wolfram

OCTOBER 7, 2021

This structure is very dependent on the algebraic properties of. Note that this is in some sense dual to the typical “line segment iteration” nested construction : &#10005. A few additional results are (where the decimals are algebraic numbers of degree 6, and a is a real number): &#10005. For we get. &#10005.

Physics 52

Physics Mathematics Algebra Construction 52

Ask a Tech Teacher

DECEMBER 10, 2021

There’s an old joke about how kids are forced to learn algebra and trigonometry in school, but have no use for those subjects in real life. To excel in their profession, a welder needs to understand and calculate concepts like material usage, which requires using fractions and sometimes algebra.

Math 390

Math Algebra Construction Mathematics 390

Robert Talbert, Ph.D.

APRIL 15, 2022

Those assessments can take on various forms, and in well-constructed courses they do have varying forms, corresponding to different levels of Bloom's Taxonomy. But no matter the form, they are are typically one-and-done: Students turn them in, and the work is graded, and that's that. Limit the frequency of reassessments.

Academic Standards 52

Academic Standards Communications Calculus Algebra 52

Stephen Wolfram

MAY 16, 2022

It’s that underneath everything is all possible computation, encapsulated in the single unique construct that is the ruliad. And in a sense it’s the ultimate computational construct. It’s not just that at the lowest level there’s some specific rule operating on a vast network of atoms of space.

Science 65

Science Sciences Mathematics Physics 65

ED Surge

OCTOBER 3, 2024

Reflecting on my own self-identification, I had a vague sense it had something to do with Holifield’s Algebra II class, which I took in ninth grade. Still, Holifield helped make math practical for her when she took Algebra II with him, she says. She had taken Algebra I, Algebra II and calculus with him.

Math 317

Math Calculus Algebra Economics 317

Stephen Wolfram

MARCH 7, 2022

When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.

Mathematics 119

Mathematics Physics Computer Algebra 119

Stephen Wolfram

MAY 17, 2021

And for example in 1978 the following “radius 3” rule (operating on size-7 neighborhoods) was constructed (and we’ll call it the “GKL rule”): &#10005. But in the 1980s a complicated cellular automaton was constructed that it was possible to prove would not show such behavior. But it turns out that this isn’t true.

Computer 52

Computer Achievement Mathematics Physics 52

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

Stephen Wolfram

DECEMBER 11, 2023

How Observers Construct Their Perceived Reality Our view of the world is ultimately determined by what we observe of it. We take what’s “out there in the world” and in effect “construct our perceived reality” by our operation as observers. OK, but what about quantum mechanics?

Physics 116

Physics Computer Mathematics Communications 116

Stephen Wolfram

AUGUST 29, 2024

Even if I hadn’t been able to imagine quite what could be built on them, I’d been able to construct solid foundations, that successfully encapsulated things in the cleanest and simplest ways. In a sense, computation constructs sequences of new things, say with time. Something that always held me back, though, was use cases.

Physics 114

Physics Computer Biology Mathematics 114

Stephen Wolfram

MARCH 5, 2024

A lot of science—and technology—has been constructed specifically around computationally reducible phenomena. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Once again, I had no idea this was “out there”, and certainly I would never have been able to construct it myself.

Science 120

Science Sciences Computer Mathematics 120

Stephen Wolfram

MARCH 23, 2023

But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences. Back before about 500 years ago, pretty much the only way to “express math” was in natural language.

Computer 145

Computer Mathematics Math Achievement 145

Stephen Wolfram

DECEMBER 14, 2022

Almost any algebraic computation ends up somehow involving polynomials. can be manipulated as an algebraic number, but with minimal polynomial: &#10005. And all of this makes possible a transformative update to polynomial linear algebra, i.e. operations on matrices whose elements are (univariate) polynomials. &#10005.

Astronomy 77

Astronomy Computer Construction Algebra 77

Stephen Wolfram

NOVEMBER 3, 2023

For all the terminal clusters we showed before, we can construct the multiway graphs starting with the minimal initial clusters that lead to them: For terminal clusters like there’s no nontrivial multiway system to show, since these clusters can only appear as initial conditions; they can never be generated in the evolution.

Physics 86

Physics Construction Equality Science 86

Futurum

SEPTEMBER 12, 2023

If you have the option, take a statistics course and mathematics courses beyond algebra,” says Barbara. Be open to constructive criticism and actively listen to other perspectives. Explore careers in biology • At high school and post-16 years, choose biology, chemistry and physics classes. “If

Biology 81

Biology STEM Chemistry Argumentation 81

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 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

AUGUST 22, 2023

He was going for what he saw as the big prize: using them to “construct the universe”. Then McCarthy started to explain ways a computer could do algebra. It was all algebra. And the only conclusion we can arrive at is that a person can’t do this much algebra with the hope of getting it right.” But Ed wasn’t interested.

Computer 70

Computer Physics Sciences Science 70