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

Numbers and networks: how can we use mathematics to assess the resilience of global supply chains? At Brigham Young University in the US, Dr Zach Boyd is using his mathematical skills to determine how best to protect our supply chains. BUILDING MATHEMATICAL MODELS. FIELD OF RESEARCH: Mathematics. Published: July 13, 2022.

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

ED Surge

NOVEMBER 7, 2023

That’s the argument of Peter Liljedahl, a professor of mathematics education at Simon Fraser University in Vancouver, who has spent years researching what works in teaching. These are the students who end up hitting a wall when math courses move from easier algebra to more advanced concepts in, say, calculus, he argues. “At

Research 356

Research Research Teaching Calculus 356

PCS Edventures

MARCH 4, 2020

Whether you agree with the theory that mathematics exists for humans to discover or that it is a man-made tool, numeric systems designed to measure the world around us serve as the foundation for scientific and technological advancement. Algebra , which incorporates unknown variables into arithmetic equations. What is Math?

Mathematics 52

Mathematics Energy Architecture Government 52

STEM Education Shopping

JULY 19, 2023

Each block represents a specific number, allowing you to visually understand mathematical operations. By using these manipulatives, you can actively participate in the learning process and visually understand mathematical concepts. These blocks are usually made of wood and come in various shapes, sizes, and colors.

Math 52

Math Algebra Data analysis Problem Solving 52

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. A lot of science—and technology—has been constructed specifically around computationally reducible phenomena. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have.

Science 123

Science Sciences Computer Mathematics 123

ED Surge

NOVEMBER 7, 2022

Teachers spend a lot of time teaching students to work in groups, identifying different roles and practicing how to give feedback on a game or a project in a way that's constructive. And, of course, it has to be mathematically accurate. It's very much scaffolded, especially when students come into sixth grade.

Learning 266

Learning Algebra Creativity Communications 266

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. Fast numbers-based ways to do particular computations are often viewed as representing “ exact solutions ” to corresponding mathematical problems. But which axioms should these be?

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

JUNE 28, 2023

They’re mathematically more complex, but each one we successfully cover makes a new collection of problems accessible to exact solution and reliable numerical and symbolic computation. It’s the end of a long journey, and a satisfying achievement in the quest to make as much mathematical knowledge as possible automatically computable.

Computer 117

Computer Calculus Construction Mathematics 117

Stephen Wolfram

NOVEMBER 10, 2021

It’s yet another surprising construct that’s arisen from our Physics Project. And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) In some ways it’s a bit like our efforts to construct the ruliad.

Physics 122

Physics Mathematics Computer Construction 122

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. How Observers Construct Their Perceived Reality Our view of the world is ultimately determined by what we observe of it.

Physics 121

Physics Mathematics Computer Communications 121

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 103

Computer Calculus Construction Accessibility 103

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. In the mathematical paradigm one imagines having a mathematical equation and then separately somehow solving it.

Science 65

Science Sciences Physics Mathematics 65

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. In the mathematical paradigm one imagines having a mathematical equation and then separately somehow solving it.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

MAY 16, 2022

My original goal in A New Kind of Science was to take a step beyond the mathematical paradigm that had defined the state of the art in science for three centuries—and to introduce a new paradigm based on computation and on the exploration of the computational universe of possible programs. But there’s more.

Science 63

Science Sciences Mathematics Physics 63

Stephen Wolfram

OCTOBER 7, 2021

And the involvement of numbers will often allow us to make immediate use of traditional mathematical methods. This structure is very dependent on the algebraic properties of. If we combine multiplication with addition, we get different forms—and we can make some interesting mathematical connections. For we get. &#10005.

Physics 52

Physics Mathematics Algebra Construction 52

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

NOVEMBER 3, 2023

But the general concept of a multiway system, with its discrete branching at discrete steps, depends on a level of fundamental discreteness that’s quite unfamiliar from traditional statistical mechanics—though is perfectly straightforward to define in a computational, or even mathematical, way.

Physics 87

Physics Construction Equality Science 87

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 108

Physics Computer Argumentation Construction 108

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”. It explains that III has four divisions: Mathematical and Programming Services, Behavioral Science, Operations, and “New York”. Then McCarthy started to explain ways a computer could do algebra. It was all algebra.

Computer 67

Computer Physics Science Sciences 67

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 Argumentation 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 66

Construction Computer Physics Accessibility 66

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. One of President Obama’s initiatives has been a call to action for making STEM (science, technology, engineering, mathematics) education a priority in the United States.

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. One of President Obama’s initiatives has been a call to action for making STEM (science, technology, engineering, mathematics) education a priority in the United States.

Education 60

Education Education Accessibility STEM 60