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

National Science Foundation

MARCH 2, 2022

Rural schools offer opportunities for leadership that may be more accessible than in larger, urban places. chemistry, biology, and physics or both calculus and Algebra I) or to teach and work in other roles in the school such as coach and bus driver. 2021; Moffa & McHenry Sorber, 2018). Curriculum . Conveyance.

Schooling 76

Schooling STEM Research Research 76

Stephen Wolfram

SEPTEMBER 29, 2023

And it’s all based on ideas from our Physics Project —and on a fundamental correspondence between what’s happening at the lowest level in all physical processes and in expression evaluation. And this is where we can start making an analogy with physics. And now there’s a deep analogy to physics.

Physics 108

Physics Computer Argumentation Construction 108

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 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. But the advent of LLMs—and our new Chat Notebooks —opens up Wolfram Language to vastly more people.

Computer 118

Computer Calculus Construction Mathematics 118

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

DECEMBER 14, 2022

But we also have access to other ephemerides that cover much longer periods. An instantaneous moment (or perhaps a single elementary time from our Physics Project )? In physics textbooks, it’s traditional to carefully distinguish absolute temperatures, measured in kelvins, from temperature scales, like degrees Celsius or Fahrenheit.

Astronomy 74

Astronomy Computer Construction Algebra 74

PCS Edventures

MARCH 4, 2020

Algebra , which incorporates unknown variables into arithmetic equations. Calculus , which calculates rates of change and infinites. They identify and address weaknesses in security systems, develop and test mathematical models and new cryptography theories, decode cryptic messages and protect wireless networks from illegal access.

Mathematics 52

Mathematics Energy Architecture Government 52

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. 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.

Construction 67

Construction Computer Physics Accessibility 67