A quick precision test

[walter b]

(06-07-2014 04:44 PM)pito Wrote:  We have to explicitly request an N digits precision with any number/constant and calculus (in Mathematica as well in Alfa), otherwise "machine precision" will be used instead.

So for example we want calculate with 666 digits precision:

Code:

 2.989 * sin ( 22.12 / 7.1 - 0.0023 )

It has to be entered into Alfa as:

Code:

 2.989`666 * sin ( 22.12`666 / 7.1`666 - 0.0023`666 )

In Mathematica (works in Alfa too]:

Code:

 N[2.989`666 * Sin ( 22.12`666 / 7.1`666 - 0.0023`666), 666 ]

Hmmh, I went through all that and entered
(...((1.0000001`34)^2`34) ... )^2`34
into Alfa but it returned >34 digits nevertheless. What did I miss?

d:-?