SCIENTISTS CALCULATE PI TRILLION SERIES

That is a lot of time- consuming work, even for a computer.Īnother series that is more efficient than the one given above is Nilakantha Series:. You will have to add a lot of terms if you wish to get an accurate value (Around 300 terms in order to compute till 2 decimal places). The only problem with this series is that it is not very efficient. Then if you multiply that by 4, you will have the value of. With this series, you will be able to calculate /4 exactly. One of the most well- known and simplest series to calculate is the Gregory- Leibniz Series : There are numerous series today that are used to generate the value of pi. After that, all we would need to do is feed this algorithm into the computer. Now, if we are able to find an infinite series such that the value of ‘S’ in the above equation equals pi, we will have found an algorithm to generate the value of pi. Proof for sum of series (Photo Credit : Peter Hermes Furian/Shutterstock) In case you are confused as to how it can be 1, here is an illustration of the proof: In this case, the addition of all terms S amounts to 1. It can be written in short using the symbol ‘sigma’: –

An infinite series is an infinite sequence of values that follow a particular rule throughout.Įach term here is multiplied by half of the previous term. In our case, this set of operations is called an infinite series. What is the Algorithm For Our Calculation? And it will keep calculating until we give the instruction to stop. So, this means, if somehow, we are able to figure out this set of instructions that generate the precise value of if it is computed an infinite number of times, then the computer can do the entire calculation by itself.

This means that if we are to calculate the value of using a computer, it will have to follow a set of instructions an infinite number of times, since the digits of go on forever. Of course, it wouldn’t be able to stop on its own, since it does not have the ability to make that decision.Īlso, remember that is a number with infinite decimal places. And it follows these sets of instructions until we tell it to stop. It works according to a set of instructions or steps that we feed into it. And a machine doesn’t make decisions on its own as we do. whereas, 22/7 = 3.1428571……).Ĭomputers basically work on algorithms. 22/7 is simply an approximation for, and will only give an accurate value till two decimal places ( = 3.14159265……. He had memorized the value of up to hundreds of digits (see, now that is impressive). He wasn’t just dividing 22 by 7 in his head. I could have done that!”īut as I grew older, I realized how wrong I was. You just keep dividing 22 by 7 in your head. I remember thinking every time I saw it, “So he wrote hundreds of digits of on the board, that’s easy. It’s the part where Piscine Patel tries and succeeds, to establish the short form of his name to ‘Pi’. Back then, there was a scene in the film that puzzled me every time.

SCIENTISTS CALCULATE PI TRILLION MOVIE

The movie ‘Life of Pi’ was released in 2012.

What is the Algorithm For Our Calculation?Ĭomputers calculate the value of Pi up to trillions of digits by making use of infinite series formulas that have been developed by mathematicians.

Why Don’t We Have the Precise Value of Pi?.

For swapping, we need 310 TB of storage space and almost 180 TB of storage space for backing up the caching data,” the scientists noted.

The caching of the calculation consumes up to 91 TB of hard disk space again. “Saving the result of Pi alone requires 63 terabytes of storage space. Such intense calculation, the researchers said, requires enormously high amounts of memory (RAM and swap space) and low memory access times. The record of therefore 50 trillion jobs has thus been broken by the DAViS team of the FH Graubünden!” the team noted. Therefore, an additional 12.8 trillion digits of Pi are now known. “On Saturday morning at 9.30am, our high-performance computer successfully completed the Pi calculation to exactly 62,831,853,071,796 digits precision. In the current effort, scientists from the University of Applied Sciences Graubünden in Switzerland calculated 62.8 trillion decimal places of the mathematical constant using a supercomputer, taking 108 days and 9 hours for the record-breaking feat.

Scientists calculate pi trillion