Math/Physics/Astronomy
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Like any scientist, I love a good mystery. Sometimes it’s fun when they are long, complicated, involve subtle and difficult layers, and require a vast effort to unravel. And sometimes it’s cool when they are simply stated and simply solved. Like asking "Where does the water in Saturn’s upper atmosphere come from?"
Saturn weather forecast: rings, with light rain from Enceladus
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How Quantum Suicide Works"
A man sits down before a gun , which is pointed at his head. This is no ordinary gun; it's rigged to a machine that measures the spin of a quantum particle . Each time the trigger is pulled, the spin of the quantum particle -- or quark -- is measured. Depending on the measurement, the gun will either fire, or it won't. If the quantum particle is measured as spinning in a clockwise motion, the gun will fire.
Weierstrass functions
Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". Here is an example of one: It is not hard to show that this series converges for all x .
6174 is known as Kaprekar's constant [ 1 ] [ 2 ] [ 3 ] after the Indian mathematician D. R. Kaprekar . This number is notable for the following property: Take any four-digit number, using at least two different digits.
6174 (number) - Wikipedia, the free encyclopedia
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz , who first proposed it in 1937. The conjecture is also known as the 3 n + 1 conjecture , the Ulam conjecture (after Stanislaw Ulam ), Kakutani's problem (after Shizuo Kakutani ), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse ), or the Syracuse problem ; [ 1 ] the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers , [ 2 ] or as wondrous numbers . [ 3 ] Take any natural number n .
