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The Year in Computer Science
...recently posted on the math discussion website MathOverflow. “[Someone] asked this question and I happened to know the tools to answer it,” Agol said. “Then I was realizing that this...
Catalytic Computing Taps the Full Power of a Full Hard Drive
...the tree evaluation problem, it involves repeatedly solving a simpler math problem that turns a pair of input numbers into a single output. Copies of this math problem are arranged...
‘Next-Level’ Chaos Traces the True Limit of Predictability
...rigorously established that there are mathematical questions that can never be answered, true statements that can never be proved. Now physicists are connecting those unknowable mathematical systems with an increasing...
Why Everything in the Universe Turns More Complex
...recently posted on the math discussion website MathOverflow. “[Someone] asked this question and I happened to know the tools to answer it,” Agol said. “Then I was realizing that this...
How a Problem About Pigeons Powers Complexity Theory
...in APEPP. In a specific mathematical sense, any progress on this one problem will automatically translate into progress on a host of others that computer scientists and mathematicians have long...
New Proof Settles Decades-Old Bet About Connected Networks
...to mathematicians to find out who was right. In December, by tapping into a crucial phenomenon in physics — and pushing it to its limits — three mathematicians finally issued...
The Core of Fermat’s Last Theorem Just Got Superpowered
By extending the scope of the key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward building a “grand unified theory” of math. In 1994, an earthquake...
A New Pyramid-Like Shape Always Lands the Same Side Up
A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture. In 360 BCE, Plato envisioned the cosmos as...
Topologists Tackle the Trouble With Poll Placement
...to each different polling site,” said Topaz. Porter notes that mathematicians have had success using sophisticated mathematical techniques to quantify gerrymandering, the deliberate skewing of legislative districts. He sees the...