Tag: mathematics

Biophysicists Uncover Powerful Symmetries in Living Tissue
Technology

Biophysicists Uncover Powerful Symmetries in Living Tissue

“It was pretty amazing how well the experimental data and numerical simulation matched,” Eckert said. In fact, it matched so closely that Carenza’s first response was that it must be wrong. The team jokingly worried that a peer reviewer might think they’d cheated. “It really was that beautiful,” Carenza said.The observations answer a “long-standing question about the type of order present in tissues,” said Joshua Shaevitz, a physicist at Princeton University who reviewed the paper (and did not think they’d cheated). Science often “gets murky,” he said, when data points to seemingly conflicting truths—in this case, the nested symmetries. “Then someone points out or shows that, well, those things aren’t so distinct. They’re both right.”Form, Force, and FunctionAccurately defining a liquid c...
Fake jury duty calls scamming citizens out of money | Crime And Courts
Money

Fake jury duty calls scamming citizens out of money | Crime And Courts

A scam is making its rounds locally and Hardin County Sheriff John Ward is warning residents to not fall victim.The scam has a caller posing as a Hardin County Sheriff’s Deputy and telling them they must pay a fine for missing jury duty, asking for the money to brought to a national retailer and sent to them.The scammers will give the name of an actual sheriff’s deputy and ask the caller to call them back at a provided number, Ward said, adding it is not the sheriff’s office number.When the caller contacts the number, Ward said the actual voice greeting from the Hardin County Sheriff’s Office is played, and when the caller presses zero, the scammer will pose ...
A New Proof Moves the Needle on a Sticky Geometry Problem
Technology

A New Proof Moves the Needle on a Sticky Geometry Problem

The original version of this story appeared in Quanta Magazine.In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an infinitely thin, inch-long needle on a flat surface, then rotate it so that it points in every direction in turn. What’s the smallest area the needle can sweep out?If you simply spin it around its center, you’ll get a circle. But it’s possible to move the needle in inventive ways, so that you carve out a much smaller amount of space. Mathematicians have since posed a related version of this question, called the Kakeya conjecture. In their attempts to solve it, they have uncovered surprising connections to harmonic analysis, number theory, and even physics.“Somehow, this geometry of lines pointi...
The Lawlessness of Large Numbers
Technology

The Lawlessness of Large Numbers

The original version of this story appeared in Quanta Magazine.So far this year, Quanta has chronicled three major advances in Ramsey theory, the study of how to avoid creating mathematical patterns. The first result put a new cap on how big a set of integers can be without containing three evenly spaced numbers, like {2, 4, 6} or {21, 31, 41}. The second and third similarly put new bounds on the size of networks without clusters of points that are either all connected, or all isolated from each other.The proofs address what happens as the numbers involved grow infinitely large. Paradoxically, this can sometimes be easier than dealing with pesky real-world quantities.For example, consider two questions about a fraction with a really big denominator. You might ask what the decimal expansio...