99d9bc84-389a-49d1-8021-f2fe1c9e451b 7 6 5 auto

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

i f 12 i * + 3 i * + : #

x f 12 x * + 3 x * + :

By calling

# f

you create

i 1.23456789 :

an algorithmic procedure wrt an argument to be completed

i f 7.172839

# f # :

1.23456789 f 7.172839

by defining i:=1.23456789 'i' the argument is converted binary or else Smath machine number ... the procedure is complete f(1.23456789)=7.172839

1.23456789 F 12 1.23456789 * + 3 1.23456789 * + : #

This is not an executable procedure by no computing machinery in the world. What is 1.23456789 ? Vladimir secret mistress code, distance to moon ... '1.23456789' is just unknown, i.e: not an assigned argument.

12 1.23456789 * + 3 1.23456789 * + 7.172839

is paper/pencil arithmetic but not assigned to an algo(argument)

Salut Ioan, No need to put anything of that conversation in Hanbook. It is just some refresher of "numerical maths knowledge". When it comes to "compute", computer are dummy like stone. Computers do less than kindengarden stuff. Computers know only the addition. With supplementary instruction it can be instructed to add/add/add/add ... then multiply. A bit more instuctions ... wow ! subtraction. Division is another monkey business of the 3 first above. And that's all what "Big blues" or your French Terra 100 [Bull] that consumes a Nuclear Power station do. Naturally of this so low "Do" a large world of decoration have been added to make them look more savant and more mystic. At this point and in short, computers perform only the 4 arithmetic operations [+, -, *, /]. Division / being very slow compared to + How things [functions and the likes] are computed ? ANSWER: by savant combination of the 4 [+, -, *, /] called numerical approximations. In PC Pentium style most range in the order of 21 Aops [Arithmetic operations] i.e: the summ of [+, -, *, /]... exp(x), sin(x), ln(x) ... X^Y consumes twice because it needs exp(x) & ln(x). SQRT(x) is very fast because iterative Heron-Newton. It starts from a very little numerical initialising push. Revisit "Samples" for Bessel. See what the right side is crunching, only [+, -, *, /]. What are called "Main Frame" try to execute "Arithmetica" a kind of coincident bit wise arithmetic multiple parallel computation at cryogenic °C. Two constants are universally known [pi, e]. More are "user".