Stephen Wolfram

DECEMBER 14, 2022

there’s a new construct NetExternalObject that allows you to run trained neural nets “from the wild” in the same integrated framework used for actual Wolfram-Language-specified neural nets. Calculus & Its Generalizations. Is there still more to do in calculus? Constructs like Typed [. ] In Version 13.2 In Version 13.2

Astronomy 74

Astronomy Computer Construction Argumentation 74

PCS Edventures

MARCH 4, 2020

Calculus , which calculates rates of change and infinites. Energy auditors have a very hands-on job that requires travel to construction sites to perform various tests, such as thermal infrared tests to identify heat accumulation, air leaks and air pressure. Algebra , which incorporates unknown variables into arithmetic equations.

Mathematics 52

Mathematics Energy Architecture Math 52

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

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 122

Physics Mathematics Computer Construction 122

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.

Mathematics 120

Mathematics Physics Computer Algebra 120

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.

Energy 88

Energy Physics Argumentation Mathematics 88

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. It’s like simple mathematical constructs—like the icosahedron. What is that science?

Computer 55

Computer Mathematics Science Sciences 55

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. These data mostly come from compliance reports that companies must submit to be registered on the stock market. ABOUT MATHEMATICS.

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

Stephen Wolfram

SEPTEMBER 29, 2023

And if we treat these as equivalent and merge them we now get: (The question of “state equivalence” is a subtle one, that ultimately depends on the operation of the observer, and how the observer constructs their perception of what’s going on. It’s a new kind of fundamentally multiway construct.

Physics 108

Physics Computer Argumentation Construction 108

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

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 65

Physics Science Sciences Mathematics 65

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

Robert Talbert, Ph.D.

APRIL 15, 2022

Those assessments can take on various forms, and in well-constructed courses they do have varying forms, corresponding to different levels of Bloom's Taxonomy. But no matter the form, they are are typically one-and-done: Students turn them in, and the work is graded, and that's that.

Academic Standards 52

Academic Standards Communications Calculus Argumentation 52

Stephen Wolfram

JUNE 8, 2022

But with the multicomputational paradigm there are now some more general concepts that can be applied to these constructs. And once again we can construct a multiway graph that represents all possible sequences of “moves” in the game. And once again we can construct a multiway graph for it. After 10 steps the graph is. &#10005.

Physics 71

Physics Computer Construction Equality 71

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”. permutation) with any number of inputs can be constructed using just these gates, connected by wires.

Computer 68

Computer Physics Science Sciences 68

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. Volume[reg].

Construction 67

Construction Computer Physics Accessibility 67