Stephen Wolfram

OCTOBER 27, 2023

Mathematics. But in the 1600s came the idea of modeling things with mathematical formulas—in which time enters, but basically just as a coordinate value. We won’t always be able to make a simple human—or, say, mathematical—narrative to explain or predict what a system will do. These are all ways to formalize the world.

Computer 132

Computer Physics Mathematics Achievement 132

National Science Foundation

SEPTEMBER 22, 2021

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. 2017; Stein et al.,

Algebra 76

Algebra Mathematics Flexibility Research 76

Stephen Wolfram

JUNE 28, 2023

The Wolfram Language is important to LLMs—in providing a way to access computation and computational knowledge from within the LLM. We’ve always built—and deployed—Wolfram Language so it can be accessible to as many people as possible. But the advent of LLMs—and our new Chat Notebooks —opens up Wolfram Language to vastly more people.

Computer 120

Computer Construction Calculus Mathematics 120

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

Futurum

NOVEMBER 3, 2022

Kristin’s research spans a wide range of applications and theoretical domains, but the one thing they all have in common is temporal logic – that is, an unambiguous, mathematically precise way of describing and reasoning about systems that change over time. FASCINATING FORMAL METHODS. ABOUT TEMPORAL LOGIC. Dr Kristin Y.

Aerospace 98

Aerospace Mathematics Computer Science Research 98

Stephen Wolfram

MARCH 23, 2023

There’s a big example of this historically, in mathematics. 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

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. Next time I’ll just start this way and keep it there.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

Stephen Wolfram

FEBRUARY 14, 2023

Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines. It’s just something that’s mathematically simple, and we’re used to the fact that lots of data we measure turns out to be well fit by mathematically simple things.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

JANUARY 9, 2024

And for AIs we’re providing a variety of tools —like immediate computable access to documentation , and computable error handling. But it’s also possible for anyone to post their prompts in the Wolfram Cloud and make them publicly (or privately) accessible. So did that mean we were “finished” with calculus? In Version 14.0

Computer 97

Computer Calculus Construction Accessibility 97

Stephen Wolfram

SEPTEMBER 27, 2024

But if we allow (random-access) memory, then the minimal graph becomes possible. And between this fact and the fact that nestedly recursive functions haven’t historically had a clear place in any major line of mathematical or other development it’s quite difficult to be sure one’s accurately tracing their history. Or the minimal one?

Computer 108

Computer Mathematics Argumentation Science 108

STEMe

DECEMBER 3, 2023

Quantitative analysis involves the usage of mathematical models and algorithms to predict the stock price of a company based on its quantitative features. Quantitative traders routinely use highly complex mathematics, such as stochastic calculus, linear algebra, differential equations, and discrete mathematics to create these models.

Computer Science 52

Computer Science Computer Science Sciences 52

Stephen Wolfram

JANUARY 31, 2023

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 90

Energy Physics Argumentation Mathematics 90

Stephen Wolfram

AUGUST 29, 2024

Pleasantly enough, given our framework, many modern areas of mathematical physics seemed to fit right in.) I had realized that one of the places the ideas of the Physics Project should apply was to the foundations of mathematics, and to metamathematics. And now the responsibility had fallen on us to do this.

Physics 112

Physics Computer Biology Mathematics 112

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

STEM Sport

SEPTEMBER 6, 2023

However, access to high-quality STEM education can debunk this perception. Topics such as physics and calculus deal with complex theories that can be difficult to grasp without proper guidance and real-world connections. Many individuals are hesitant to pursue STEM degrees due to the misconception these subjects are more difficult.

STEM 52

STEM Calculus Curriculum Problem Solving 52

National Science Foundation

FEBRUARY 6, 2024

The biases are notably stark if schools are divided out by minority enrollment, as public middle and high schools with more than 50 percent White students have only 2 percent of mathematics teachers and 1 percent of science teachers that are Black ( National Center for Science & Engineering Statistics ). In comparison to the U.S.

Education 40

Education Education Computer Science Mathematics 40

Futurum

JUNE 28, 2022

Chen-Yu and Haipeng use mathematical concepts to create new reinforcement learning algorithms… © Aaron John Balana. Machine learners use a mix of mathematics and computer science to develop and test their algorithms. He also recommends studying maths subjects such as algebra, calculus, probability and statistics.

Artificial Intelligence 88

Artificial Intelligence Learning Computer Science Computer 88

STEM Education Guide

MARCH 8, 2023

Nearly all facets of life depend on science, technology, engineering, and mathematics. As an acronym for science, technology, engineering, and mathematics, stem education is essential as it permeates every aspect of your life. Lastly, they must be able to access virtual educational resources for research opportunities.

STEM 52

STEM Schooling Problem Solving Engineering 52

Stephen Wolfram

SEPTEMBER 23, 2021

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. From mathematics. Mathematical physics. By the late 1970s, though, there were other initiatives emerging, particularly coming from mathematics and mathematical physics. Synergetics.

Computer 55

Computer Mathematics Science Sciences 55

Futurum

SEPTEMBER 7, 2022

Daniel works on calculating how much spin comes from quarks and gluons that carry only a small fraction of the proton’s momentum, which is difficult to access through current experiments. Develop these by taking classes such as mathematics, calculus and programming. WHAT EXPERIMENTS ALLOW DANIEL TO STUDY SUCH TINY PARTICLES?

Physics 52

Physics Energy Research Research 52

Stephen Wolfram

SEPTEMBER 29, 2023

And from seeing how things play out in the rather accessible and concrete area of expression evaluation, we’ll be able to develop more intuition about fundamental physics and about other areas (like metamathematics ) where the ideas of our Physics Project can be applied. If you set , then you set , you should get (not ) if you asked for.

Physics 102

Physics Computer Argumentation Construction 102

Futurum

MAY 16, 2023

Because these processes typically take place over very long timescales, we have to rely on models by expressing these processes as mathematical formulas,” explains Denise. “To For instance, I had access to a CT scanner to scan the cores, while Molly’s lab has equipment to study grain size and X-ray diffraction.”

Geology 52

Geology Research Research Energy 52

Stephen Wolfram

FEBRUARY 3, 2023

How does one tie all this down with rigorous, mathematical-style proofs? Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. Well, it’s difficult.

Computer 91

Computer Energy Physics Construction 91

ED Surge

JANUARY 3, 2024

Should calculus be taught differently in the 21st century? The Math Revolution You Haven’t Heard About By Daniel Mollenkamp Photo courtesy of the Harvard University Department of Mathematics. College professors are pushing calculus past its traditional limits to help more students succeed in advanced math.

Education 276

Education Education Calculus Artificial Intelligence 276

Stephen Wolfram

AUGUST 22, 2023

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). It explains that III has four divisions: Mathematical and Programming Services, Behavioral Science, Operations, and “New York”. It says that “From a one-man operation [in 1962], I.I.I.

Computer 69

Computer Physics Science Sciences 69

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. Calculus , which calculates rates of change and infinites. What is Math?

Mathematics 52

Mathematics Energy Architecture Government 52

Stephen Wolfram

DECEMBER 13, 2021

the same integral could still be done, but only in terms of elliptic integrals : Mathematical Functions: A Milestone Is Reached. Special functions are in a sense a way of packaging mathematical knowledge : once you know that the solution to your equation is a Lamé function , that immediately tells you lots of mathematical things about it.

Construction 68

Construction Computer Physics Accessibility 68

Stephen Wolfram

JUNE 29, 2022

Now “characters” could be 16-bit constructs, with nearly 65536 possible “glyphs” allocated across different languages and uses (including some mathematical symbols that we introduced). Needless to say, you can do this computationally—though the “calculus” of what’s been defined so far in Unicode is fairly bizarre: &#10005.

Calculus 114

Calculus Construction Computer Argumentation 114