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Surprising Limits Discovered in Quest for Optimal Solutions
Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits.
Where Transcendental Numbers Hide in Everyday Math
The transcendental number π is as familiar as it is ubiquitous, but how does Euler’s number e transcend the ordinary?
How Tadayuki Watanabe Disproved a Major Conjecture About Spheres
Watanabe invented a new way of distinguishing shapes on his way to solving the last open case of the Smale conjecture, a central question in topology about symmetries of the sphere.
How Wavelets Allow Researchers to Transform, and Understand, Data
Built upon the ubiquitous Fourier transform, the mathematical tools known as wavelets allow unprecedented analysis and understanding of continuous signals.
Mathematician Answers Chess Problem About Attacking Queens
The n-queens problem is about finding how many different ways queens can be placed on a chessboard so that none attack each other. A mathematician has now all but solved it.