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0
votes
0
answers
144
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Precision[] and Accuracy[] give non-integer result
a = N[Pi, {20, 19}];
Precision[a] (*19.497149872694134`*)
Accuracy[a](*19.`*)
Accuracy[a]*Log2[10] (*63.116633802859894`*)
My question
The Precision[a] value is a non-integer, which I don't know w …
-1
votes
1
answer
215
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About the Rationalize of an approximated number
In[3]:= Clear["*"];
approPi = N[Pi];
{Rationalize[approPi], Round[approPi, 10^-15]}
Out[2]= {3.14159, 3141592653589793/1000000000000000}
Above Rationalize failed to give a rational number probably …
2
votes
1
answer
92
views
A probable misdescription of official Doc about $MachinePrecision?
According to the official documentation:
When you enter an approximate real number, the Wolfram Language has to decide whether to treat it as a machine number or an arbitrary‐precision number. Unless …
1
vote
2
answers
159
views
Does SetPrecision[x, Infinity] expose the internal exact number in the approximated number?
What I already know (maybe) :
My theory about Mathematica's way of implementing approximated number
An number approX with arbitrary precision prec represents not a point on number axis but an interva …