A Mathematician’s Guided Tour Through Higher Dimensions
Alternatively, just as we can unfold the faces of a cube into six squares, we can unfold the three-dimensional boundary of a tesseract to obtain eight cubes,…
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math
Computer Scientists Find a Key Research Algorithm’s Limits
Many aspects of modern applied research rely on a crucial algorithm called gradient descent. This is a procedure generally used for finding the largest or…
How Big Data Carried Graph Theory Into New Dimensions
Graph theory isn’t enough.The mathematical language for talking about connections, which usually depends on networks—vertices (dots) and edges (lines…
How to Ace Physics Class (Even if You Don’t Ace Physics)
Let me give a real-world example. Once my class was working on the momentum principle, which gives a relationship between the net force on an object and that…
This high-performance computer just smashed a world record for solving a millennia-old math problem…
The high-performance computer completed the Pi calculation with a…
Animals Count and Use Zero. How Far Does Their Number Sense Go?
One explanation for the same neural framework evolving in such different brains is simply that it’s an efficient solution to a common computational problem.…
A robotic fish tail and an elegant math ratio could inform the design of next- generation underwater…
Fish are thought to adjust their tail stiffness in order to swim efficiently over a…
Why we need engineers who study ethics as much as math
by S. Travis Waller, Kourosh Kayvani, Lucy Marshall and Robert F. Care Am,…
Mathematicians Prove a 2D Version of Quantum Gravity Works
It’s an elegant idea that yields concrete answers only for select quantum fields. No known mathematical procedure can meaningfully average an infinite number…