<p> Vector, Vectorise Algo</p>

68042fe7-1209-4fa5-a9d9-bbb734da1a24 22 6 9 decimal

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

algo style matrices: elements wise between matrices u v algo VectMatrix i 1 u rows range j 1 u cols range M i j el u i j el v i j el algo eval : for for M 21 line :

V vect i 1 u rows range a i 1 el V : for --- Unest --- v a 1 el : j 2 a rows range v v a j el stack : for v 51 line :

<= as many values as there are cols in 'u'

# # 12 mat

u 12345632 mat :

v 0.5 3.5 1.5 4.5 2.5 5.5 32 mat :

v1 3 sqrt π 12 mat vect : 3 sqrt π 3 sqrt π 3 sqrt π 32 mat

u v algo u v * :

u v algo VectMatrix u v1 algo VectMatrix 21 mat 0.5 7 4.5 18 12.5 3332 mat 1.732 6.283 5.196 12.566 8.66 18.85 32 mat 21 mat

u v algo u v sin * :

u v algo VectMatrix 0.479 0.702 - 2.992 3.91 - 2.992 4.233 - 32 mat

u v algo u cos v sin * :

u v1 algo VectMatrix 0.533293 0 0.977149 - 0 0.279982 032 mat

u v algo u v 1.25^* :

u v algo VectMatrix 0.42 9.574 4.98 26.217 15.718 50.536 32 mat

u v1 algo VectMatrix 1.987 8.365 5.961 16.73 9.935 25.095 32 mat

u v algo u v + :

u v1 algo VectMatrix 2.732 5.142 4.732 7.142 6.732 9.142 32 mat

Mapping a matrix over an "algo name"

u 2 - 2345632 mat :

Smath is short of matrix operations. Add functionalities via 'Maple'. OBSERVE: sqrt(x) is an operator, i.e: NOT a function => assign as a function.

x f x sqrt :

f u map maple 1.414 i * 1.414 1.732 2 2.236 2.449 32 mat

ln u map maple 0.693 3.142 i * + 0.693 1.099 1.386 1.609 1.792 32 mat

ln sqrt u map maple 1.398 1.123 i * + 0.833 1.048 1.177 1.269 1.339 32 mat