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Fast Multiplication: The Incredible Karatsuba Algorithm Explained
In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task ...
To help you understand the algorithm, the video shows a simple two-digit by two-digit multiplication. You can see that the first and last digits are essentially the result of one multiplication.
Google DeepMind's AlphaEvolve AI system breaks a 56-year-old mathematical record by discovering a more efficient matrix multiplication algorithm that had eluded human mathematicians since Strassen ...
You wouldn’t use this algorithm when calculating a tip, but when it comes to multiplying large numbers, Karatsuba’s method was a big advance. And once Karatsuba opened the door to faster ...
DeepMind breaks 50-year math record using AI; new record falls a week later AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar.
By transforming operands into a Montgomery domain, these algorithms enable efficient modular multiplication and exponentiation, which are crucial for public-key cryptosystems.
The word “algorithm” can sometimes seem like a word designed to scare people away from math classes, much like the words “calculus”, “Fourier transform”, or R… ...
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