Stephen Wolfram

JANUARY 31, 2023

And indeed particularly in chemistry and engineering it’s often been in the background, justifying all the computations routinely done using entropy. There had been precursors of steam engines even in antiquity, but it was only in 1712 that the first practical steam engine was developed.

Energy 88

Energy Physics Argumentation Mathematics 88

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

Stephen Wolfram

SEPTEMBER 9, 2021

And in general to achieve a “ pathological result ” we’ll typically have to “reverse engineer” the underlying computational irreducibility of the system—which we won’t be able to do with a reference frame constructed by a computationally bounded observer.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

And in general to achieve a “ pathological result ” we’ll typically have to “reverse engineer” the underlying computational irreducibility of the system—which we won’t be able to do with a reference frame constructed by a computationally bounded observer.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

FEBRUARY 14, 2023

I should say at the outset that I’m going to focus on the big picture of what’s going on—and while I’ll mention some engineering details, I won’t get deeply into them. 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

FEBRUARY 3, 2023

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. But what if we’re more flexible in what we consider the objective of the demon to be?

Computer 92

Computer Energy Physics Construction 92