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).
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.
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Stephen Wolfram
MARCH 23, 2023
And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences. But it doesn’t work unless the Wolfram Language code is exactly right.
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. But what’s important for our purposes here is that in the setup Carnot constructed he basically ended up introducing the Second Law.
Stephen Wolfram
MARCH 7, 2022
When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.
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.
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.
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