Stephen Wolfram

JANUARY 31, 2023

By 1807 the term “energy” had been introduced, but the question remained of whether it could in any sense globally be thought of as conserved. It had seemed for a long time that heat was something a bit like mechanical energy, but the relation wasn’t clear—and the caloric theory of heat implied that caloric (i.e.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

JUNE 29, 2022

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. Now we can use the path function to make a “spiralling” tour video: College Calculus. In Version 13.1

Calculus 114

Calculus Construction Computer Argumentation 114

Stephen Wolfram

SEPTEMBER 9, 2021

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. In physics, energy (and mass) act as a “source of gravity”. In general relativity, the singularity theorems say that when there’s “enough energy or mass” it’s inevitable that a singularity will be formed.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. In physics, energy (and mass) act as a “source of gravity”. In general relativity, the singularity theorems say that when there’s “enough energy or mass” it’s inevitable that a singularity will be formed.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

FEBRUARY 3, 2023

Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. With hard spheres there’s built-in conservation of energy, momentum and number of particles. The First Law of thermodynamics asserted that heat was a form of energy, and that overall energy was conserved.

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

MARCH 7, 2022

One can view a symbolic expression such as f[g[x][y, h[z]], w] as a hierarchical or tree structure , in which at every level some particular “head” (like f ) is “applied to” one or more arguments. and zero arguments: α[ ]. By the way, the shortest proof path in the multiway graph is the analog of a geodesic in spacetime.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

AUGUST 22, 2023

But at a personal and social level it was still always a lot of fun being around Ed and being exposed to his unique intense opportunistic energy—with its repeating themes but ever-changing directions. 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 68

Computer Physics Science Sciences 68