STEM Education Guide

MARCH 8, 2023

It’s no secret that the exposure of students to science, technology, engineering, and mathematics (STEM) can positively impact the future of the world and their futures. Engineering can factor in topics such as civil engineering, electronics, and robots. Granted, engineering and technology might seem thrilling.

Computer Science 52

Computer Science Computer Sciences Science 52

Stephen Wolfram

JANUARY 9, 2024

And we’ve been steadily doing the engineering to let AIs call on Wolfram Language as easily as possible. 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.

Computer 97

Computer Calculus Construction Accessibility 97

STEM Education Shopping

AUGUST 28, 2023

These virtual learning experiences have become my guiding stars, providing me with invaluable knowledge and strategies to engage students in science, technology, engineering, and math. They should also explore various branches of science such as biology, chemistry, physics, and earth sciences.

STEM 52

STEM OER Education Education 52

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. There had been precursors of steam engines even in antiquity, but it was only in 1712 that the first practical steam engine was developed. Lazare Carnot died in 1823.

Energy 90

Energy Physics Argumentation Mathematics 90

STEM Education Guide

MARCH 8, 2023

Nearly all facets of life depend on science, technology, engineering, and mathematics. As an acronym for science, technology, engineering, and mathematics, stem education is essential as it permeates every aspect of your life. Programs such as MEL Science integrate several engineering, math, technology, and science projects.

STEM 52

STEM Schooling Problem Solving Engineering 52

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. Let’s talk first about chemistry.

Physics 112

Physics Computer Biology Mathematics 112

Stephen Wolfram

SEPTEMBER 9, 2021

And in general to achieve a “ pathological result ” we’ll typically have to “reverse engineer” the underlying computational irreducibility of the system—which we won’t be able to do with a reference frame constructed by a computationally bounded observer. Chemistry / Molecular Biology. Perhaps not for chemistry as it’s done today.

Physics 66

Physics Sciences Science Mathematics 66

Stephen Wolfram

SEPTEMBER 9, 2021

And in general to achieve a “ pathological result ” we’ll typically have to “reverse engineer” the underlying computational irreducibility of the system—which we won’t be able to do with a reference frame constructed by a computationally bounded observer. Chemistry / Molecular Biology. Perhaps not for chemistry as it’s done today.

Sciences 60

Sciences Science Physics Mathematics 60

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). His father ’s university engineering studies had been cut short by the Russian Revolution, and he now had a one-man wholesale electronic parts business. Petersburg; his mother in Odessa ; they met in LA).

Computer 69

Computer Physics Sciences Science 69

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. But as this has traditionally been practiced, it’s relied on being able to see one’s way through this “drilling down” process, or in effect, to explicitly do reverse engineering.

Computer 55

Computer Mathematics Sciences Science 55

Stephen Wolfram

SEPTEMBER 29, 2023

But insofar as we’re only looking at the evaluation of expressions we’ve engineered for particular computational purposes, we’re not yet used to seeing “generic bulk expression evaluation”. All sorts of (often ornate) formalism was developed in mathematical logic, with combinators arriving in 1920 , and lambda calculus in 1935.

Physics 102

Physics Computer Argumentation Construction 102

Stephen Wolfram

FEBRUARY 3, 2023

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. Class 4 shows behavior that looks more like the “insides of a machine” that could have been “intentionally engineered for a purpose”.

Computer 91

Computer Energy Physics Construction 91

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. In Version 13.0

Construction 68

Construction Computer Physics Accessibility 68

Maydm

JUNE 11, 2021

As all of you know, my background is in engineering and Stef brings a background in the social sciences and cultural anthropology. I struggled in chemistry and I got very little support and so that meant that I couldn’t go on and take physics. And the reason I’m actually not an engineer today is because of that, right?

STEM 52

STEM Economics Social Sciences Innovation 52

Stephen Wolfram

JUNE 29, 2022

Needless to say, you can do this computationally—though the “calculus” of what’s been defined so far in Unicode is fairly bizarre: &#10005. Now we can use the path function to make a “spiralling” tour video: College Calculus. Transforming college calculus was one of the early achievements of Mathematica. Fractional Calculus.

Calculus 114

Calculus Construction Computer Argumentation 114