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And we have a new record!

StorageReview Lab has computed decimal pi to 202,112,290,000,000 digits. The final digit in that sequence was a 2.

It took 100 elapsed days, including continuous computation for 85 days, and used 1.5 picobytes of storage. CPU speed used to be the determinant for computation time, but this time the storage read/write speed was the limiting factor, so a faster CPU wouldn't have made any difference.

I usually celebrate achievements like this without reservation, but I just read an article about how much energy is being used for cryptocurrency mining, and now I'm wondering if the energy used to compute 202 trillion digits of pi could have been used for some other worthy purpose, like charging all of the EVs on the road.
 
And we have a new record!

StorageReview Lab has computed decimal pi to 202,112,290,000,000 digits. The final digit in that sequence was a 2.

It took 100 elapsed days, including continuous computation for 85 days, and used 1.5 picobytes of storage. CPU speed used to be the determinant for computation time, but this time the storage read/write speed was the limiting factor, so a faster CPU wouldn't have made any difference.

I usually celebrate achievements like this without reservation, but I just read an article about how much energy is being used for cryptocurrency mining, and now I'm wondering if the energy used to compute 202 trillion digits of pi could have been used for some other worthy purpose, like charging all of the EVs on the road.
if you think crypto is bad, look at what "genAI" will be doing, and/or is already ...

As for Pi, as a high-schooler and then college, I used to memorize ~ 15 digits, also of "e", and that was quite sufficient for everything I ever came across (but it's almost like 50 years ago 😉)
 
When pi isn't as good as an approximation of pi

I know that most of you, like me, spend your idle time reading the government's NAVSTAR GPS Space Segment/Navigation User Segment Interfaces specifications for the Global Positioning System (GPS). This document, called IS-GPS-200 for short, has wonderfully useful tidbits of information. For example, you can use this handy formula to compute the second derivative of the clock error from an orbiting GPS satellite:

second-derivative-formula.png


My favorite tidbit, however, is the value of pi used in section 20.3.3.4.3.2 of the specifications. It's 3.1415926535898, which is pi rounded to the 13th decimal place. GPS uses this approximation of pi to determine each satellite's antenna phase center position.

If you're implementing a GPS receiver on the ground, you need to use 3.1415926535898, rather than pi, to determine your position on the planet. If you use 3.14159265358979 (a more accurate approximation of pi) or 3.141592653590 (a less accurate approximation of pi) then your computations will be less accurate!
 
When pi isn't as good as an approximation of pi

I know that most of you, like me, spend your idle time reading the government's NAVSTAR GPS Space Segment/Navigation User Segment Interfaces specifications for the Global Positioning System (GPS). This document, called IS-GPS-200 for short, has wonderfully useful tidbits of information. For example, you can use this handy formula to compute the second derivative of the clock error from an orbiting GPS satellite:

View attachment 2613399

My favorite tidbit, however, is the value of pi used in section 20.3.3.4.3.2 of the specifications. It's 3.1415926535898, which is pi rounded to the 13th decimal place. GPS uses this approximation of pi to determine each satellite's antenna phase center position.

If you're implementing a GPS receiver on the ground, you need to use 3.1415926535898, rather than pi, to determine your position on the planet. If you use 3.14159265358979 (a more accurate approximation of pi) or 3.141592653590 (a less accurate approximation of pi) then your computations will be less accurate!

This is fascinating, even if it is Greek to me! All those numbers......AIEEE! 🙂
 
Yes, and it had a full crust. No telling what kind of filling was supposed to be represented. I guess the artist wanted you to assume it was your favorite.

Fitting though that the image was the approximation of a pie, as pi is also the same.
 
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