262c02d8-db25-47ae-a8a4-bfa27506936d 12 6 12 decimal

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

The Gaussian b-spline

x c 12 - x ≤ (x 2 ≤ (& cases :

u b 0 u 2 - ≤ 16 / 2 u + (3^* 2 - u ≤ (u 1 - ≤ (& 16 / 2 u + (3^* 23 / 1 u + (3^* - 1 - u ≤ (u 0 ≤ (& 23 / 1 u - (3^* - 16 / 2 u - (3^* + 0 u ≤ (u 1 ≤ (& 16 / 2 u - (3^* 1 u ≤ (u 2 ≤ (& 0 cases :

z indefinite u b u x - x int :

t0 1 time :

x b x c * x indefinite x c * 2 1 sys

1 time t0 - 39 s *

exact acc 100
exact by design x b x 2 - 2 int 1.000000000000000

Scalar has two meaning ... 1.23456789 is a scalar number, π ...etc 'x' in b(x), indefinite(x) is scalar, i.e: 'x' is a vanishing iterator. As 'x' runs in the X Cartesian direction, at each canvas pixel the Cartesian Y's are evaluated and plotted. The plots reside in the WS as long as active. They vanish as the Work Sheet is cleared. [-2 ..2] is 222 pixels thus calculate b(x), indefinite(x) 222 * each

z q u f u 0 x int :

exponent positive
integer/fractional x f x 2^:

x f x q 2 1 sys

user X 1 :

transit x q z q :

X f X q 21 mat 1 0.333333 21 mat

z multiple x f u f u 0 x int u f u 0 x int u 0 x int u f u 0 x int u 0 x int u 0 x int 41 sys :

x multiple

x multiple z multiple :

X 2 :

X multiple 4 2.666667 5.333333 10.666667 41 sys

x multiple 1 1 3 / + 20 black 1 5 mat 2 1 sys