Futurum

JULY 13, 2022

Mathematically, these records make it fairly easy to construct a supply chain network,” says Zach. There are many branches of maths, including algebra, geometry, calculus and statistics. WHAT ARE YOUR PROUDEST CAREER ACHIEVEMENTS SO FAR? In these reports, companies are required to disclose their major suppliers and customers.

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

Stephen Wolfram

JUNE 8, 2022

But with the multicomputational paradigm there are now some more general concepts that can be applied to these constructs. Here in more detail are the forms of some typical components of branchial graphs achieved at particular steps: &#10005. &#10005. From this we get the multiway graph: &#10005. &#10005. &#10005.

Physics 71

Physics Computer Construction Equality 71

Stephen Wolfram

JANUARY 9, 2024

So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

JUNE 28, 2023

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. And in Mathematica and the Wolfram Language that’s achieved with Integrate. And over the years that’s exactly what we’ve achieved—for integrals, sums, differential equations, etc. And in Version 13.3

Computer 118

Computer Calculus Construction Mathematics 118

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. Sometimes they have been based on constructing programs to reproduce behavior. Sometimes the models have been purely empirical (“Look, there’s a power law!”).

Computer 55

Computer Mathematics Science Sciences 55

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). He was going for what he saw as the big prize: using them to “construct the universe”. But it also led him to the idea that the universe must be a giant cellular automaton—whose program he could invent.

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

NOVEMBER 10, 2021

It’s yet another surprising construct that’s arisen from our Physics Project. In some ways it’s a bit like our efforts to construct the ruliad. In constructing it, one can imagine using Turing machines or hypergraph rewriting systems or indeed any other kind of computational system. As an analogy, consider the real numbers.

Physics 121

Physics Mathematics Computer Construction 121

Stephen Wolfram

FEBRUARY 14, 2023

It turns out that it’s possible to construct such a function. Later, we’ll talk about how such a function can be constructed, and the idea of neural nets. And the nontrivial scientific fact is that for an image-recognition task like this we now basically know how to construct functions that do this.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

FEBRUARY 3, 2023

But it is only now—with ideas that have emerged from our Physics Project —that I think I can pull all the pieces together and finally be able to construct a proper framework to explain why—and to what extent—the Second Law is true. In some types of rules it’s basically always there , by construction.

Computer 92

Computer Energy Physics Construction 92