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. Now we can use the path function to make a “spiralling” tour video: College Calculus. In designing Version 13.1 &#10005.

Calculus 114

Calculus Construction Computer Argumentation 114

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. Coarse-grained variables. But the paper is ending.

Energy 88

Energy Physics Argumentation 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. And it’s one that can “mine” the specific modeling achievements of work on complexity and bring them to a broader and more foundational level.

Computer 55

Computer Mathematics Science Sciences 55

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. How do we achieve this? But is it “achieving measurement” or not? There’s a bit more to say about this, though.

Computer 92

Computer Energy Physics Construction 92

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. Chemistry / Molecular Biology. In standard chemistry, one typically characterizes the state of a chemical system at a particular time in terms of the concentrations of different chemical species.

Science 65

Science Sciences Physics Mathematics 65

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. Chemistry / Molecular Biology. In standard chemistry, one typically characterizes the state of a chemical system at a particular time in terms of the concentrations of different chemical species.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

AUGUST 22, 2023

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). In 2015 Ed told me a nice story about his time at Caltech: In 1952–53, I was a student in Linus Pauling’s class where he lectured Freshman Chemistry at Caltech.

Computer 67

Computer Physics Science Sciences 67

Maydm

JUNE 11, 2021

I struggled in chemistry and I got very little support and so that meant that I couldn’t go on and take physics. “Miss Winnie, I tried to sign up for AP calculus and my counselor told me that, you know, she asked me ‘Are you sure you want to take that?' But so many students will come up to me and it will be like.

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 66

Construction Computer Physics Accessibility 66