Ask a Tech Teacher

OCTOBER 23, 2019

Bright Science is a free YouTube channel of over 1300 study videos for high schoolers (or precocious middle schoolers). Most are about five minutes (some longer, some shorter) and cover topics like chemistry, physics, calculus, geometry, biology, Algebra, trigonometry, grammar, ACT prep, and SAT prep.

Education 154

Education Education Earth science Government 154

Futurum

JULY 13, 2022

There are many branches of maths, including algebra, geometry, calculus and statistics. WHAT DOES A DAY IN THE LIFE OF A MATHEMATICIAN LOOK LIKE?

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

Stephen Wolfram

JANUARY 31, 2023

He’s writing a paper, he says, basically to clarify the Second Law, (or, as he calls it, “the second fundamental theorem”—rather confidently asserting that he will “prove this theorem”): Part of the issue he’s trying to address is how the calculus is done: The partial derivative symbol ∂ had been introduced in the late 1700s.

Energy 88

Energy Argumentation Physics Mathematics 88

Stephen Wolfram

SEPTEMBER 23, 2021

For three centuries theoretical models had been based on the fairly narrow set of constructs provided by mathematical equations, and particularly calculus. In some ways, ruliology is like natural science. It’s taking the computational universe as an abstracted analog of nature, and studying how things work in it.

Computer 55

Computer Mathematics Science Sciences 55

Stephen Wolfram

NOVEMBER 10, 2021

But what about other models of computation—like cellular automata or register machines or lambda calculus? But it’s a fundamental claim that we’re making—that can be thought of as a matter of natural science—that in our universe only computation can occur, not hypercomputation.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

FEBRUARY 14, 2023

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. It turns out that the chain rule of calculus in effect lets us “unravel” the operations done by successive layers in the neural net.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

MARCH 7, 2022

And if we’re going to make a “general theory of mathematics” a first step is to do something like we’d typically do in natural science, and try to “drill down” to find a uniform underlying model—or at least representation—for all of them. We can view these in some sense as the “observed phenomena” of (human) mathematics.

Mathematics 121

Mathematics Physics Computer Algebra 121