b7412077-41fe-44ba-a1a4-07e31126fe52 7 4 5 decimal

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

x y f x y / :

x y φ x y / 11 line :

f φ 2 1 sys

a 1221 mat :

b 4621 mat :

a 1 el b 1 el / a 2 el b 2 el / 21 mat 0.25 0.3333 21 mat

a 1 el a 1 el b 1 el / a 2 el b 2 el / 21 mat * 0.25 0.3333 21 mat

a b / vectorize 0.25 0.3333 21 mat

<= elements wise operations

a a 1 el b 1 el / a 2 el b 2 el / 21 mat * vectorize 0.25 0.6667 21 mat

a a b / vectorize * vectorize 0.25 0.6667 21 mat

<= elements wise operations

Vectors wise operation is "vector sum" Σ

a a 1 el b 1 el / a 2 el b 2 el / 21 mat * 0.9167

1 a a b / vectorize * vectorize sum (* 0.9167

a a b / vectorize * 0.9167

a b / vectorize a a b / * vectorize 21 mat 0.25 0.3333 21 mat 0.25 0.6667 21 mat 21 mat

b sqrt #

The square root of a vector is a natural built-in operation [Mathcad] NOT in Smath [must be vectorised].

b sqrt vectorize 2 2.4495 21 mat

c a a b φ * vectorize : 0.25 0.3333 21 mat 0.5 0.6667 21 mat 21 mat

c a a b f * vectorize : 0.25 0.6667 21 mat

x c x 2 ≥ (x 4 ≤ (* :

W 1.22 7.36 7.96 7.94 1.26 2.36 4.74 3.07 5.83 4.11 3.78 8.14 3.64 9.93 8.95 9.73 5.13 3.71 5.78 3.16 54 mat :

W c W * vectorize 00000 2.36 0 3.07 00 3.78 0 3.64 0000 3.71 0 3.16 54 mat

lo 20 : hi 200 : 21 line

x f 0 x lo ≤ 255 x hi ≥ lo hi 21 mat 025521 mat x linterp cases :

x f

Smath will not vectorise an image matrix over the interpolation f(x) ... NOT SCALAR. It needs the vectorise algo dual "for loop"

i 1 # rows range j 1 # cols range M i j el # i j el f eval : for for