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RayDunzl

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https://gizmodo.com/the-new-longest-pi-beats-previous-record-by-12-8-trilli-1847503360

On Monday, a team of Swiss data scientists announced that their supercomputer calculated the mathematical constant pi to a new length of 62.8 trillion digits, extending the constant beyond its previously calculated end by some 12.8 trillion digits. And to think I never even memorized 3.141592653.

According to a statement from the University of Applied Sciences of GraubUnden in Switzerland, the research team knew over the weekend that they had achieved the most exact-yet summation of the constant, which describes the ratio of a circle’s circumference to its diameter.

Pi has numerous applications, including in construction and space flight, but as David Harvey, a mathematician at the University of New South Wales in Australia, told The Guardian, “I can’t imagine any real-life physical application where you would need any more than 15 decimal places.” Other computer scientists have said that 39 digits should do, because that specificity gives you the circumference of the observable universe to within the diameter of a single atom.

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My question, if 39 digits gives atom vs universe precision, is how they perform the calculation with any clue to its accuracy?
 

mhardy6647

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https://gizmodo.com/the-new-longest-pi-beats-previous-record-by-12-8-trilli-1847503360

On Monday, a team of Swiss data scientists announced that their supercomputer calculated the mathematical constant pi to a new length of 62.8 trillion digits, extending the constant beyond its previously calculated end by some 12.8 trillion digits. And to think I never even memorized 3.141592653.

According to a statement from the University of Applied Sciences of GraubUnden in Switzerland, the research team knew over the weekend that they had achieved the most exact-yet summation of the constant, which describes the ratio of a circle’s circumference to its diameter.

Pi has numerous applications, including in construction and space flight, but as David Harvey, a mathematician at the University of New South Wales in Australia, told The Guardian, “I can’t imagine any real-life physical application where you would need any more than 15 decimal places.” Other computer scientists have said that 39 digits should do, because that specificity gives you the circumference of the observable universe to within the diameter of a single atom.

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My question, if 39 digits gives atom vs universe precision, is how they perform the calculation with any clue to its accuracy?
And... and... is that hydrogen (protium) or one of those big-boy atoms?

EDIT: and, in terms of accuracy... I mean... is the universe indeed round?
 

Blumlein 88

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And... and... is that hydrogen (protium) or one of those big-boy atoms?

EDIT: and, in terms of accuracy... I mean... is the universe indeed round?
I thought it was one of these three shapes depending upon the cosmological constant's actual value. With most leaning toward it being flat.

1629248276709.png
 

amirm

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Current model of the cosmos assumes it is flat. Yet it could be round. If it is round, it means if you keep looking back farther and farther, you eventually arrive at where you are! Naturally this screws up many assumptions we make about the nature of universe.
 

mhardy6647

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Current model of the cosmos assumes it is flat. Yet it could be round. If it is round, it means if you keep looking back farther and farther, you eventually arrive at where you are! Naturally this screws up many assumptions we make about the nature of universe.
Don't make me have to smoke marijuana!

:cool:

 

scott wurcer

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Simple mathematical abstraction , anyone can compute 1/9 to infinite digits. :p
 

Blumlein 88

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Current model of the cosmos assumes it is flat. Yet it could be round. If it is round, it means if you keep looking back farther and farther, you eventually arrive at where you are! Naturally this screws up many assumptions we make about the nature of universe.
But it was useful in those planet of the ape movies.
 
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RayDunzl

RayDunzl

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blueone

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