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. 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

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. And in addition to adding a great deal of flexibility, this also means that the toolbar immediately works on all platforms. (By

Calculus 114

Calculus Construction Computer Argumentation 114

Futurum

JULY 26, 2022

CONCEPTUAL ENGINEERING – a method philosophers use to try to find and fix places where ideas from science (or everyday life) are confused or unclear. I think this work requires a lot of flexibility. WHAT ARE YOUR PROUDEST CAREER ACHIEVEMENTS SO FAR? INTERDISCIPLINARITY – the collaboration of two or more branches of knowledge.

Biology 52

Biology Research Research Science 52

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

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

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. To say something more global requires the whole knitting together of “economic space” achieved by all the local transactions in the network. It’s very much like in the emergence of physical space.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. To say something more global requires the whole knitting together of “economic space” achieved by all the local transactions in the network. It’s very much like in the emergence of physical space.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

FEBRUARY 3, 2023

Indeed, the Zeroth Law of thermodynamics is essentially the statement that “statistically unique” equilibrium can be achieved, which in terms of energy becomes a statement that there is a unique notion of temperature. But what if we’re more flexible in what we consider the objective of the demon to be? How do we achieve this?

Computer 92

Computer Energy Physics Construction 92