Stephen Wolfram

JANUARY 9, 2024

In addition to whole courses, we have “miniseries” of lectures about specific topics: And we also have courses —and books—about the Wolfram Language itself, like my Elementary Introduction to the Wolfram Language , which came out in a third edition this year (and has an associated course, online version, etc.):

Computer 102

Computer Calculus Construction Accessibility 102

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, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. One is so-called Böhm trees.

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, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. One is so-called Böhm trees.

Science 64

Science Sciences Physics Mathematics 64

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[ ]. &#10005. One step of substitution already gives: &#10005. &#10005. &#10005. or: &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

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”. 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.

Computer 92

Computer Energy Physics Construction 92