Futurum

SEPTEMBER 7, 2022

Understanding the nucleus and its substructure is at the heart of nuclear physics. Full of exotic-sounding particles, and existing on a scale billions of times smaller than the width of a human hair, the world of nuclear physics can be daunting and bewildering. This is where nuclear physics starts to get more complex.

Physics 52

Physics Energy Research Research 52

STEM Education Guide

MARCH 8, 2023

Therefore, you’ll be taking AP Chemistry, AP Physics, and AP Calculus, in addition to coding classes (codemonkey) or robotics as extracurricular activities. These technologies were invented by people who learned that the human mind could achieve what it conceives. Without a doubt, they had an excellent K-12 STEM educator.

STEM 52

STEM Schooling Problem Solving Engineering 52

Futurum

NOVEMBER 3, 2022

Formal methods are mathematically rigorous techniques for the specification, design, validation, and verification of cyber-physical systems (systems that are made of hardware, software, or a combination of the two). WHAT AMBITIONS DO YOU STILL WANT TO ACHIEVE? FASCINATING FORMAL METHODS. HOW DID KRISTIN BECOME A TEMPORAL LOGICIAN?

Aerospace 98

Aerospace Mathematics Computer Science Research 98

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

Futurum

JULY 26, 2022

The Internet Encyclopedia of Philosophy is a comprehensive and accessible research tool for learning more about philosophy. WHAT ARE YOUR PROUDEST CAREER ACHIEVEMENTS SO FAR? . • The American Philosophical Association and the British Philosophical Association have some great resources for exploring a career in philosophy. •

Biology 52

Biology Research Research Science 52

Stephen Wolfram

JANUARY 9, 2024

So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.

Computer 102

Computer Calculus Construction Accessibility 102

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. And in Mathematica and the Wolfram Language that’s achieved with Integrate. And in Version 13.3

Computer 118

Computer Calculus Construction Mathematics 118

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. But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century.

Energy 88

Energy Physics Argumentation Mathematics 88

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

FEBRUARY 3, 2023

The Second Law of thermodynamics is considered one of the great general principles of physical science. Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. But our Physics Project has changed that picture. Why does the Second Law work?

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

JUNE 29, 2022

And for the past four years I’ve been sharing the “behind the scenes” of how it’s achieved—by livestreaming our Wolfram Language design review meetings. And that’s finally been achieved in Version 13.1. it’s now accessible from the button in the new default notebook toolbar. In designing Version 13.1 But that’s far from all.

Calculus 114

Calculus Construction Computer Argumentation 114

Stephen Wolfram

SEPTEMBER 23, 2021

And there was something else: the computer system I’d built was a language that I’d realized (in a nod to my experience with reductionist physical science) would be the most powerful if it could be based on principles and primitives that were as minimal as possible. Mathematical physics. It had worked out very well for the language.

Computer 55

Computer Mathematics Science Sciences 55

Stephen Wolfram

FEBRUARY 14, 2023

And for example the concept of “temperature” is there because exponential distributions familiar from statistical physics happen to be being used, but there’s no “physical” connection—at least so far as we know.) In this particular case, we can use known laws of physics to work it out.

Computer 145

Computer Architecture Mathematics Construction 145

Maydm

JUNE 11, 2021

But again, to connect this and to make it accessible, right? To make STEM accessible is something that’s so important. I struggled in chemistry and I got very little support and so that meant that I couldn’t go on and take physics. Not being able to have access to the resources, the support, et cetera.

STEM 52

STEM Economics Social Sciences Innovation 52

Stephen Wolfram

DECEMBER 13, 2021

When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical. Also in the area of calculus we’ve added various conveniences to the handling of differential equations. &#10005.

Construction 67

Construction Computer Physics Accessibility 67