cc8cd6d1-c42e-4218-8285-f2f3602f945c 11 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

x f 1 x 2^- sqrt ± : x C 1 π / 12 x * - acos 12 x * - (4 x * 2 x * (2^- sqrt * - (* : x cπ 2 0.5 x * 0.5 + C * 1 - : 31 sys

x f x cπ 2 1 sys

cπ(x) . . .

in which x is the measured height of the level in

circular horizontal thank or similar geometry, i.e:

spherical thank ...

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Circle & roots_of_Unity

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

x f 1 x 2^- sqrt ± :

n 8 :

roots x n^1 - 0 ≡ x solve maple :

U roots Re roots Im augment :

rootsU U . 14 black plot :

x f rootsU 2 1 sys

n 8

roots --- U 13 mat 11 - i i - 0.707 0.707 i * + 0.707 - 0.707 i * - 0.707 0.707 i * - 0.707 - 0.707 i * + 81 mat --- 101 - 00101 - 0.707 0.707 0.707 - 0.707 - 0.707 0.707 - 0.707 - 0.707 82 mat 13 mat