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  • Thread starter The Fallen Angel
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Happy π Day! The ratio of the circumference of a circle to its diameter.

March 14 is so celebrated by mathematicians and scientists. 3/14 reminds us of 3.14 Very few of us were around in the best π day, March 14, 1592, closest to the extended decimal, 3.1415927535.

Some, outside the US celebrate on June 7 (22/7) an excellent estimate for π at 3.14285…

Π is a transcendental number, meaning its decimals go on for ever with no repeating pattern (think 2/3 which goes on for ever but repeats 6)
It’s value has been calculated to a trillion decimals

If you only use 153 decimal places, how accurate is that? If you use it to calculate the circumference of the known universe from its diameter (the largest thing we know), the error to true π would cause a difference of a tiny fraction of the Planck Length, ℓP. (this is the 'quantum of length', the smallest measurement of length with any meaning. About 10-20 times the size of a proton.
 
Happy π Day! The ratio of the circumference of a circle to its diameter.

March 14 is so celebrated by mathematicians and scientists. 3/14 reminds us of 3.14 Very few of us were around in the best π day, March 14, 1592, closest to the extended decimal, 3.1415927535.

Some, outside the US celebrate on June 7 (22/7) an excellent estimate for π at 3.14285…

Π is a transcendental number, meaning its decimals go on for ever with no repeating pattern (think 2/3 which goes on for ever but repeats 6)
It’s value has been calculated to a trillion decimals

If you only use 153 decimal places, how accurate is that? If you use it to calculate the circumference of the known universe from its diameter (the largest thing we know), the error to true π would cause a difference of a tiny fraction of the Planck Length, ℓP. (this is the 'quantum of length', the smallest measurement of length with any meaning. About 10-20 times the size of a proton.


Thanks. It slipped my mind. It's like forgetting Christmas (which I might do if there wasn't so much around to remind me).

In "The Unreasonable Effectiveness of Mathematics in the Natural Sciences" Eugen Wigner talks about a guy who is incredulous that "pi" appears in the "Gaussian distribution" in probability. "What does the ratio of the circumference of a circle to its diameter have to do with probability?"

One can really ask if "pi" exists in the real world. Certainly, you can't put the whole thing into a computer (you can't really put a lot of "base ten" numbers into a computer either). There are no perfectly circular or perfectly spherical objects in the real universe that we know of (despite Plato's protest that they "must" exist somewhere). All physical mathematical models are approximations, because there is always noise that one can't get rid of that make the models mildly inaccurate.

If you're a fan of "intelligent design", one has to ask what the "designer" was thinking when he/she/it based the laws of physics on a number one can't ever hope to pin down.

Even pies aren't perfectly circular, try though we might.

The Indiana Legislature once famously passed a law mandating that "pi" would be 22/7 to clear up all the confusion (that is also not a number you can calculate exactly or put into a computer, though).

Maybe the powers that be can mandate that Brexit will happen when someone calculates "pi" exactly. Then everyone can claim to have won.
 
So, What Day is Today? It's not Hump Day, More than TGIF, It has a name!
No Answer? I guess everyone is busy with TGIF. So was Julius Caesar until he reached the Ides of March! Beware!
Every Ides (13th of most months, but 15th in March, July, October and May) was sacred to Jupiter, whose pontifex would drive a sheep along the sacred way to the temple of Jupiter at the citadel and sacrifice it. The Ides of March was also scared to Anna Perenna, the goddess of the new year (which in the early republic began on March 1). It was the last day to settle your debts from the prior year without incurring extra interest. (I guess that's what the conspirators were doing with Julius).

So everyone get out and settle your debts (especially you UKers who owe me money before your pounds are worthless!)
 
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