The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

A 125-page proof ... geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory. How much area does it take up when you rotate a line ...

However, for the lines to be parallel, the distance between the lines always stays the same. Perpendicular lines meet at a right angle. A right angle is a quarter turn, which is 90 degrees (90˚).

Mathematicians have finally solved a geometry problem that has puzzled the field for decades ... “It’s just a problem about how straight lines can intersect one another,” explains Jonathan Hickman, a ...

Stocks: Real-time U.S. stock quotes reflect trades reported through Nasdaq only; comprehensive quotes and volume reflect trading in all markets and are delayed at least 15 minutes. International ...

Critically, people reported a degree of "therapeutic alliance" in line with what patients report ... and it's easy to put out a proof of concept that looks great at first glance, but the safety ...

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Apr. 15, 2025 — Macaque mothers experience a short period of physical restlessness after the death of an infant, but do not show typical human signs of grief, such as lethargy and appetite loss ...

Donald Trump says he was invited by King Charles to visit the UK and a date in September may be set. Listen below to the latest episode of Trump 100 as you scroll.