Last year, onlookers observed a startling site on China’s Qiantang River: waves forming a grid-like pattern. Dubbed the “matrix tide,” this complex wave pattern was caused by the river’s famed tidal ...
From writing essays to coding, there’s seemingly nothing modern AI chatbots like ChatGPT and Microsoft Copilot cannot accomplish. But even though they seem limitless on the surface, they’re certainly ...
A math AI helper is one of the most effective ways for students to complete homework faster while actually understanding the solution.
For all of the recent strides we’ve made in the math world—like a supercomputer finally solving the Sum of Three Cubes problem that puzzled mathematicians for 65 years—we’re forever crunching ...
Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Representation theory transforms abstract algebra groups into things like simpler ...
If you are interested in learning about the easiest math problems that look hard, then you have come to the right place. Many people consider mathematics to be tough, and if you are one of them, then ...
Python is convenient and flexible, yet notably slower than other languages for raw computational speed. The Python ecosystem has compensated with tools that make crunching numbers at scale in Python ...
Time to test your brain! Are you a puzzle person? Most of these hard math problems aren’t straightforward arithmetic. They challenge you to look at problems a different way, testing your logic and ...
All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix. In 1999, while sitting at a bus stop in Cuernavaca, Mexico, a Czech ...
A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical Statistics
Some years ago the author defined a pseudo inverse of a singular matrix and used it in representing a solution of normal equations and for obtaining variances and covariances of estimates in the ...
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