Artificial Intelligence and Data Science are among the fastest-growing and most transformative domains in technology today, driving innovation across industries such as healthcare, finance, retail, ...

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The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

Physicists present evidence that the universe is not a computer simulation. Credit: Amanclos / CC BY 2.0 / Flickr A team of physicists has presented new mathematical evidence that challenges the ...

It's a plot device beloved by science fiction: our entire universe might be a simulation running on some advanced civilization's supercomputer. But new research from UBC Okanagan has mathematically ...

In a recent write-up, [David Delony] explains how he built a Wolfram Mathematica-like engine with Python. Core to the system is SymPy for symbolic math support. [David] said being able to work with ...

Imagine you’re flipping through the history of humanity like a very long movie. You pause at one random frame. You don’t know exactly when you’ve stopped. Perhaps early, perhaps late, perhaps ...

Abstract: With the rapid development of technology, computer technology plays an increasingly vital role across various fields, including education. Python, a high-level programming language, has a ...