Robert Talbert, Ph.D.

FEBRUARY 10, 2023

My students are using Geogebra , Wolfram|Alpha , and Excel every week in Calculus; LaTeX in my proof-oriented classes; Mathematica in my linear algebra and Calculus 3 classes; and so on. This is mostly calculus, linear algebra, and differential equations. Instead, bring it in and teach students how to use it well.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Stephen Wolfram

JANUARY 31, 2023

But in 1798 Benjamin Thompson (Count Rumford) (1753–1814) measured the heat produced by the mechanical process of boring a cannon, and began to make the argument that, in contradiction to the caloric theory, there was actually some kind of correspondence between mechanical energy and amount of heat.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

AUGUST 29, 2024

The fall of 2021 involved really leaning into the new multicomputational paradigm , among other things giving a long list of where it might apply : metamathematics, chemistry, molecular biology, evolutionary biology, neuroscience, immunology, linguistics, economics, machine learning, distributed computing.

Physics 110

Physics Computer Biology Mathematics 110

Stephen Wolfram

JANUARY 9, 2024

So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.

Computer 96

Computer Calculus Construction Accessibility 96

Stephen Wolfram

SEPTEMBER 9, 2021

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Chemistry / Molecular Biology. But in thinking about molecular computing it may be crucial—and perhaps it’s also necessary for understanding molecular biology. There are many.

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. Chemistry / Molecular Biology. But in thinking about molecular computing it may be crucial—and perhaps it’s also necessary for understanding molecular biology. There are many.

Science 60

Science Sciences Physics Mathematics 60

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 90

Computer Energy Physics Construction 90