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".
Gorgeous blue sky ! Cheers
Jean A+
Algo Basic.sm (49kb) downloaded 30 time(s).