• WANTED: Happy members who like to discuss audio and other topics related to our interest. Desire to learn and share knowledge of science required. There are many reviews of audio hardware and expert members to help answer your questions. Click here to have your audio equipment measured for free!

News You Can't Use

RayDunzl

Grand Contributor
Central Scrutinizer
Joined
Mar 9, 2016
Messages
13,280
Likes
17,301
Location
Riverview FL
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.

---

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

mhardy6647

Grand Contributor
Joined
Dec 12, 2019
Messages
11,538
Likes
25,177
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.

---

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

Grand Contributor
Forum Donor
Joined
Feb 23, 2016
Messages
21,009
Likes
38,211
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

Founder/Admin
Staff Member
CFO (Chief Fun Officer)
Joined
Feb 13, 2016
Messages
44,863
Likes
243,641
Location
Seattle Area
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

Grand Contributor
Joined
Dec 12, 2019
Messages
11,538
Likes
25,177
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

Major Contributor
Audio Luminary
Technical Expert
Joined
Apr 24, 2019
Messages
1,501
Likes
2,827
Simple mathematical abstraction , anyone can compute 1/9 to infinite digits. :p
 

Blumlein 88

Grand Contributor
Forum Donor
Joined
Feb 23, 2016
Messages
21,009
Likes
38,211
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.
 
OP
RayDunzl

RayDunzl

Grand Contributor
Central Scrutinizer
Joined
Mar 9, 2016
Messages
13,280
Likes
17,301
Location
Riverview FL
Last edited:

bloodshoteyed

Major Contributor
Joined
Jul 31, 2020
Messages
4,792
Likes
20,974
Location
n/a

blueone

Major Contributor
Forum Donor
Joined
May 11, 2019
Messages
1,201
Likes
1,564
Location
USA
Top Bottom