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Numbers and networks: how can we use mathematics to assess the resilience of global supply chains?

Futurum

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.

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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

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. And indeed particularly in chemistry and engineering it’s often been in the background, justifying all the computations routinely done using entropy.

Energy 88
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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

I should say at the outset that I’m going to focus on the big picture of what’s going on—and while I’ll mention some engineering details, I won’t get deeply into them. It turns out that it’s possible to construct such a function. Not surprisingly, it’s not particularly simple, though.

Computer 145
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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

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. What is that science? In some ways, ruliology is like natural science.