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Happy Pi Day

DanMarotta
2-Guest

Happy Pi Day

Celebrate the irrational number March 14th [3.14] with 10 accessories for math enthusiasts

http://mashable.com/2012/03/14/pi-day-accessories/#5327310-Pocket-Pi-Numbers

10 REPLIES 10

Do you know?

Pi in Mathcad 11 (Maple):

Pi11.PNG

and in Mathcad 15 (MuPad)

Pi15.PNG

and Pi in Mathcad House - http://communities.ptc.com/message/176404#176404

The floating numbers must be an integer between 1 and 250

float.png

Wind

Thanks, I know it.

But I point on one error in Mathcad 12-15 with the MuPAD not Maple symbolic machine.

lvl107
20-Turquoise
(To:DanMarotta)

Pi.PNG

Loi.

An old my Pi animation - http://communities.ptc.com/videos/1480

MikeArmstrong
5-Regular Member
(To:ValeryOchkov)

Good link Valery.

Mike

In honor of Pi Day, here is a worksheet that calculates as many digits of pi as one might want.

Be sure to turn on the debugger and debugger window so you can see the result. You can also see how the calculation slows down as more terms are added.

The program uses the Taylor series expansion of atan(x) for the following solution (by Machin) of pi:

pi.jpg

Since pi is known to a trillion digits or more now, the worksheet has no real purpose other than amusement.

The following graph shows the time required to complete the processing vs. the number of digits.

time.png

As can be seen, the time grows exponentially with the number of digits. Using Mathcad for more than 3,000 digits is impractical.

KevinBradberry
5-Regular Member
(To:DanMarotta)

Set your calendars for Tau day on June 28th.

http://tauday.com/

Better to think about TAU BETA PI day.

I cast a shadow over this society

See a part of one my photo from MIT:

TauBetaPi-MIT.png

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