Michael Sipos Posted April 14, 2006 Report Share Posted April 14, 2006 The First hundred digits of pi are... 3.1415926538979323846264338279502884197169399375105820974944592307816406286208998628034825342117067982148086 A team of researchers at Tokyo University in Japan calculated the digits of pi up to 1.24 trillion places. Quote Link to comment Share on other sites More sharing options...
InfiniteNow Posted April 14, 2006 Report Share Posted April 14, 2006 Actually, that's 108 digits... but pretty cool tidbit all the same. Quote Link to comment Share on other sites More sharing options...
Turtle Posted April 14, 2006 Report Share Posted April 14, 2006 Find the first 10,000 digits here at Hypography:http://hypography.com/forums/physics-mathematics/4474-pi-3-1415-3-33-a.html?highlight=digits+of+pi post #3 What is your point or question Michael in starting this thread?:confused: Quote Link to comment Share on other sites More sharing options...
pgrmdave Posted April 14, 2006 Report Share Posted April 14, 2006 Mike, could you provide a link to a page showing perhaps the details of the Tokyo team - why they did it, how they did it, what the digits are? Quote Link to comment Share on other sites More sharing options...
Buffy Posted April 14, 2006 Report Share Posted April 14, 2006 Here's an interesting problem for the math whizzes here: how many decimal places do you need to compute Pi to in order to be able to accurately compute the circumference of the *visible* universe to +/- 1cm? Describe and justify your answer.... Computadora,Buffy Quote Link to comment Share on other sites More sharing options...
Racoon Posted April 14, 2006 Report Share Posted April 14, 2006 I saw Pi and I thought you meant Pie! :phones: :steering: :confused: mmmm... 108 kinds of Pi Banana Cream, Apple, Cherry, Blackberry, Peach, Raspberry, Sweet Potato,....... It goes on forever! :smart: :evil: Quote Link to comment Share on other sites More sharing options...
InfiniteNow Posted April 14, 2006 Report Share Posted April 14, 2006 Okay Forrest... :confused: Quote Link to comment Share on other sites More sharing options...
InfiniteNow Posted April 14, 2006 Report Share Posted April 14, 2006 Here's an interesting problem for the math whizzes here: how many decimal places do you need to compute Pi to in order to be able to accurately compute the circumference of the *visible* universe to +/- 1cm? Describe and justify your answer....It's a trick question... it hasn't been proven that the universe is spherical. :confused: Quote Link to comment Share on other sites More sharing options...
Racoon Posted April 14, 2006 Report Share Posted April 14, 2006 Okay Forrest... :confused: Coconut cream, Boysenberry, Mincemeat, Custard, Lemon Meringue .......... :steering: InfiniteNow 1 Quote Link to comment Share on other sites More sharing options...
Racoon Posted April 14, 2006 Report Share Posted April 14, 2006 Pumpkin, Rhubarb, Gooseberry, Sour Pear, Key Lime........ :confused: Run Forrest Run! :steering: Run Forever like Pi! Quote Link to comment Share on other sites More sharing options...
Buffy Posted April 15, 2006 Report Share Posted April 15, 2006 It's a trick question... it hasn't been proven that the universe is spherical. :confused:Actually its *not* a trick question: Note I was very specific about saying the "visible universe" which by definition is the sphere described from our location by the Hubble Limit. It really is mostly a *math* problem! Get out your thinking caps boys and girls! :shrug: Crunch, cruch,Buffy Quote Link to comment Share on other sites More sharing options...
rockytriton Posted April 15, 2006 Report Share Posted April 15, 2006 A team of researchers at Tokyo University in Japan calculated the digits of pi up to 1.24 trillion places. I'm very proud of that team, I bet they can now achieve great things with that 1.24 trillionth decimal place of pi... Quote Link to comment Share on other sites More sharing options...
InfiniteNow Posted April 17, 2006 Report Share Posted April 17, 2006 how many decimal places do you need to compute Pi to in order to be able to accurately compute the circumference of the *visible* universe to +/- 1cm? Describe and justify your answer.... It's a trick question... it hasn't been proven that the universe is spherical. Actually its *not* a trick question: Note I was very specific about saying the "visible universe" which by definition is the sphere described from our location by the Hubble Limit. Well, in that case... The more decimal places you have, the more accurate your answer. Pretty simple really. Three decimal places? Not as accurate as 3 google decimal places... :eek_big: Cheers. :hihi: Quote Link to comment Share on other sites More sharing options...
Tormod Posted April 17, 2006 Report Share Posted April 17, 2006 Well, in that case... The more decimal places you have, the more accurate your answer. Pretty simple really. Three decimal places? Not as accurate as 3 google decimal places... :eek_big: Cheers. :hihi: But...at what point will the addition of digits stop making a difference? At the 100,000th or the 1 millionth? It's an interesting question. Quote Link to comment Share on other sites More sharing options...
InfiniteNow Posted April 18, 2006 Report Share Posted April 18, 2006 But...at what point will the addition of digits stop making a difference? At the 100,000th or the 1 millionth? It's an interesting question.While diminishing returns will be a factor, does it not remain true that the addition of another decimal point will still increase the accuracy ad infinitum? :eek_big: :hihi: Quote Link to comment Share on other sites More sharing options...
CraigD Posted April 18, 2006 Report Share Posted April 18, 2006 What are we here, sophists?! Buffy asks a straightforward (and not very difficult) question, deserving a straightforward answer.Here's an interesting problem for the math whizzes here: how many decimal places do you need to compute Pi to in order to be able to accurately compute the circumference of the *visible* universe to +/- 1cm? Describe and justify your answer....You need only compute Pi to the 29th decimal place to accurately compute the circumference of the *visible* universe to +/- 1cm. Assume a radius r of the visible universe of about 13.7 billion (1.37*10^10) light years.The circumference ctrue of the visible universe is then 2 * Pi * r.An inaccurate circumference cerror is 2 * (Pi + errorPi) *r.Given cerror = .01 m, converting and solving for errorPi, giveserrorPi = cerror /(2 * r) = about 1.5 *10^-29 So an estimate of Pi within 1.5 *10^-29 of its true value will result in cerror < .01 m. TheBigDog 1 Quote Link to comment Share on other sites More sharing options...
Racoon Posted April 18, 2006 Report Share Posted April 18, 2006 Okay Forrest... :eek_big: Blueberry, Pineapple sour cream, raisin, prune, Chocolate crunch, sugar free.... Pi goes on forever.........:hihi: :) Quote Link to comment Share on other sites More sharing options...
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