9ee95f4a-bf8e-45e7-a491-83579166cc5e 5 6 5 auto

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

X conj X abs (2^X / :

Nice but useless for vector: Im [i] conflicts with Smath silent indexing of a vector.

X 11 i * + :

X conj 1 i -

Generatrix Conjugate v Conjug v Re v Im 1 i * - (* + :

u 47 i * + 4 - 7 i * + 2 π i * + 12 sqrt i * + 1 - e i * + 51 mat :

u Conjug 47 i * - 4 - 7 i * - 2 3.141593 i * - 1 1.414214 i * - 1 - 2.718282 i * - 51 mat

Integer arithmetic

x 1 4.5 531 mat :

x 2^46.25

x 14531 mat :

Let's agree that X is a 3 elements vector, but you recall result for 1 item. So the algebraic rule is the "VectorSum" of the element wise "implicit" integer arithmetic.

x 2^42

Non integer arithmetic involves numerical approximations

x sqrt #

14 1.23456789^5 - sqrt 31 mat sum 6.53712 2.236068 i * +

x 1.23456789^#

5 - sqrt 2.236068 i *

algo style function: elements wise function over data data algo Vectorise i 1 data rows range j 1 data cols range Fnct i j el data i j el algo eval : for for Fnct 21 line :

x algo x 1.23456789^:

x algo Vectorise 1 5.53712 7.293331 31 mat

u algo u 3^:

x algo Vectorise 16412531 mat