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[VA] SRC #009 - Pi Day 2021 Special
03-16-2021, 07:17 PM
Post: #14
RE: [VA] SRC #009 - Pi Day 2021 Special
(03-14-2021 07:00 PM)Valentin Albillo Wrote:   [*]d.  Conversely, the volume enclosed by the n-dimensional sphere of radius R is given by:

[Image: ZZSRC009D.jpg]

Go on and evaluate the \(\pi\)-th root of the summation for even dimensions from 0 to \(\infty\) of the volumes enclosed by the respective n-dimensional unit spheres (R = 1).

sum = 1 + pi/1! + pi²/2! + pi³/3! + ... = e^pi
sum ^ (1/pi) = e

Comment: formula give 1 for volume of 0-dimensional sphere, which seems weird.
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RE: [VA] SRC #009 - Pi Day 2021 Special - Albert Chan - 03-16-2021 07:17 PM



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