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

Stephen Wolfram

MARCH 5, 2024

At a very practical level, for example, LLMs provide a new kind of linguistic interface to the computational capabilities that we’ve spent so long building in the Wolfram Language. Three centuries ago science was transformed by the idea of representing the world using mathematics. So how does AI stack up?

Science 122

Science Sciences Computer Mathematics 122

The Maker Mom

JANUARY 17, 2024

World Scholars Academy World Scholars Academy hosts a two-week intensive mathematics course for kids 15-18, administered by a doctoral candidate from Cambridge, Evgeny Goncharov. They’ll enjoy ten classes over two weeks, where they gain a better understanding of proof-based mathematics. for a year of access.

Math 52

Math Calculus Algebra Problem Solving 52

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 semester I taught two sections of Discrete Structures for Computer Science 1, an entry-level course for Computer Science majors on the mathematical foundations of computing. Nearly all the students are CS majors.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

Stephen Wolfram

DECEMBER 11, 2023

Much as we have a general model for the process of computation —instantiated by something like a Turing machine —we’d like to have a general model for the process of observation: a general “observer theory”. There’s in a sense a certain duality between computation and observation. In computation one’s generating new states of a system.

Physics 120

Physics Mathematics Computer Communications 120

National Science Foundation

DECEMBER 13, 2022

It’s exciting, dramatic—the pulsing noise from space pushing through the ancient computer systems. After all, everyone knows that mathematics is the universal language. Yes, there is something inspiring about Galileo’s famous phrase—“Mathematics is the alphabet with which God has written the universe.” Happy ending.

Math 75

Math Mathematics Communications Algebra 75

Stephen Wolfram

MARCH 23, 2023

Thanks to some heroic software engineering by our team and by OpenAI , ChatGPT can now call on Wolfram|Alpha—and Wolfram Language as well—to give it what we might think of as “computational superpowers”. But when it’s connected to the Wolfram plugin it can do these things. And here’s a bonus: immediate visualization: How did this work?

Computer 145

Computer Mathematics Math Achievement 145

STEM Education Shopping

JULY 22, 2023

These virtual tools are designed to help you understand and master various mathematical concepts in a fun like playing games and interactive way. Dive into the world of online math manipulatives and take your mathematical skills to the next level! Virtual blocks are perfect for counting and building. So why wait?

Math 52

Math Data analysis Algebra Finance 52

STEM Education Shopping

JULY 19, 2023

These digital tools can revolutionize the way you teach math, allowing students to interact with virtual objects and explore mathematical concepts in a hands-on way. This interactive approach not only captures students’ attention but also helps them develop a deeper understanding of mathematical concepts.

Math 52

Math Problem Solving Algebra Mathematics 52

Stephen Wolfram

MAY 25, 2021

And in it this computation is going on: &#10005. Let’s change the rule for the computation a bit. But that ignores the phenomenon of computational irreducibility. But it’s a fundamental fact of the computational universe that the result doesn’t have to be simple: &#10005. Imagine you have some sophisticated AI.

Mathematics 53

Mathematics Physics Computer Algebra 53

User Generated Education

MARCH 15, 2020

They were asked to continue working on this through our hiatus while my 5th and 6th graders were asked to join and work on the Code.org CS in Algebra. CUE Spring Conference – Computer-Using Educators (CUE) is a California-based non-profit that offers a premiere educational technology conference each spring.

Education 124

Education Education Learning Math 124

STEM Education Shopping

AUGUST 28, 2023

Online workshops for aspiring STEM teachers ( 1 ) offer accessible platforms to enhance teaching skills and engage with modern methodologies. Unlike traditional workshops, online workshops allow you to access materials and participate in activities at your own convenience. Get ready to launch your STEM teaching journey!

STEM 52

STEM OER Education Education 52

Stephen Wolfram

SEPTEMBER 29, 2023

But some of it has immediate practical implications, notably for parallel, distributed, nondeterministic and quantum-style computing. The key point is that a given event cannot happen unless all the inputs to it are available, i.e. have already been computed. Some of what this will lead us to is deeply abstract.

Physics 108

Physics Computer Argumentation Construction 108

Futurum

JUNE 28, 2022

ALGORITHM – a sequence of well-defined rules that allows computers to make calculations and solve problems. MACHINE LEARNING – a type of artificial intelligence in which computers learn from past data in order to predict outcomes more accurately. … which they must then implement in computer code. © Aaron John Balana.

Artificial Intelligence 88

Artificial Intelligence Learning Computer Science Computer 88

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 Critical Thinking Chemistry 81

Stephen Wolfram

AUGUST 22, 2023

And there was one way in which Ed and I were very much aligned: both of our lives were deeply influenced by computers and computing. Ed had started with computers in 1956—as part of one of the very first cohorts of programmers. Finally I felt as if there might be a plausible computational foundation for fundamental physics.

Computer 68

Computer Physics Science Sciences 68

STEM Education Shopping

AUGUST 25, 2023

In addition, the calculator’s user-friendly interface makes it accessible for both beginners and advanced users alike. In such cases, use the output from the solution set calculator as a starting point and apply other relevant mathematical concepts or formulas to arrive at a final answer.

Algebra 52

Algebra Mathematics Computer Math 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. All the functions in Abramowitz & Stegun are now fully computable in the Wolfram Language.

Construction 67

Construction Computer Physics Accessibility 67

Stephen Wolfram

OCTOBER 7, 2021

And the involvement of numbers will often allow us to make immediate use of traditional mathematical methods. But if this is the case, it means that the general infinite-time question of whether a branch pair will merge is undecidable —and can never be guaranteed to be answerable with a bounded amount of computational effort.

Physics 52

Physics Mathematics Algebra Construction 52

Stephen Wolfram

JUNE 28, 2023

We’ve worked very hard to make its design as clean and coherent as possible—and to make it a timeless way to elegantly represent computation and everything that can be described through it. Last Friday I fired up Version 1 on an old Mac SE/30 computer (with 2.5 Last Friday I fired up Version 1 on an old Mac SE/30 computer (with 2.5

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

JANUARY 9, 2024

And all those years we’ve been continuing to build a taller and taller tower of capabilities, progressively expanding the scope of our vision and the breadth of our computational coverage of the world: Version 1.0 In the arc of intellectual history it defines a broad, new, computational paradigm for formalizing the world.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

MAY 17, 2021

But it’s potentially much more efficient if we can use a distributed algorithm, where we’re running computations in parallel across the various nodes. In any decentralized system with computers, people, databases, measuring devices or anything else one can end up with different values or results at different “nodes”. The Background.

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

MAY 20, 2021

Let’s say you’re running a long computation. But now we have an initiative underway to systematically add progress reporting for all sorts of functions that can end up doing long computations. ( $ProgressReporting = False globally switches it off.). &#10005. Here’s a computation with Around : &#10005. But now. &#10005.

Computer 52

Computer Construction Physics Technology 52

Robert Talbert, Ph.D.

MARCH 23, 2022

and easy access to digital and analog learning tools including whiteboards, projectors, and power supplies. What, how, and where I am teaching This semester I am teaching two sections of Modern Algebra, the first of a two-semester sequence on abstract algebra mostly taken students in Math Education or Pure Mathematics.

Teaching 52

Teaching Learning Algebra Flexibility 52

User Generated Education

OCTOBER 16, 2015

Maker Movement: The maker movement, as we know, is the umbrella term for independent inventors, designers and tinkerers, a convergence of computer hackers and traditional artisans. Information Access and Information Abundance. Information Access and Abundance. The Maker Movement Is About the Economy, Stupid ).

Education 108

Education Education Accessibility STEM 108

User Generated Education

JULY 7, 2016

Maker Movement: The maker movement, as we know, is the umbrella term for independent inventors, designers and tinkerers, a convergence of computer hackers and traditional artisans. Information Access and Information Abundance. Information Access and Abundance. The Maker Movement Is About the Economy, Stupid ).

Education 60

Education Education Accessibility STEM 60