Stephen Wolfram

MARCH 23, 2023

And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. There’s a big example of this historically, in mathematics. But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences.

Computer 145

Computer Mathematics Math Achievement 145

Futurum

OCTOBER 4, 2022

Therefore, wearable biomedical devices must have mechanical softness, flexibility, stretchability and breathability, without side effects such as discomfort, pain or tissue damage.”. This means the sensors can exist on flexible, stretchable, transparent or biodegradable substrates, including soft contact lenses. .

Biomedical Engineering 107

Biomedical Engineering Engineering Research Research 107

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

JANUARY 9, 2024

Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. But even now there are still frontiers.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

JUNE 29, 2022

we have a new symbolic construct, Threaded , that effectively allows you to easily generalize listability. Why is such a construct needed? Now “characters” could be 16-bit constructs, with nearly 65536 possible “glyphs” allocated across different languages and uses (including some mathematical symbols that we introduced).

Calculus 114

Calculus Construction Computer Argumentation 114

Stephen Wolfram

FEBRUARY 14, 2023

Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines. It’s just something that’s mathematically simple, and we’re used to the fact that lots of data we measure turns out to be well fit by mathematically simple things.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

JANUARY 31, 2023

It began partly as an empirical law, and partly as something abstractly constructed on the basis of the idea of molecules, that nobody at the time knew for sure existed. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 88

Energy Physics Argumentation Mathematics 88