The Scientific Calculator Precision 63 follows classical approach when uncertainty of f(x) calculation is estimated by formula max|(derivative(f))|*|x*uncertainty(x)|, where maximum of function derivative is considered on interval [x-uncertainty(x),|x+uncertainty(x)]. Thus sin(2*pi)=0+-1E-63 and sin(2*1E20*pi)=0+-1E-43.
 
As we see, the result’s accuracy degrades with growth of argument, but such approach allows to preserve all trigonometry facts like sin(even number*pi+x)=sin(x). Calculators with multi-precision allows to calculate sin of big argument, like 1E40, with any precision, but cannot calculate sin(1E40*pi) since they don’t have pi. The pi becomes for them a “floating” number with arbitrary precision. It seems strange, because 2*pi corresponds to one rotation and counting rotations is much easier then measuring 1E40 radians.

In the default mixed mode the calculator treats numbers as integers wherever it is possible. For example, 54! have an integer result with 72 digits. By the way, 72 digits is the internal precision of calculations. This is 8 super-digits, where a super-digit has 9 decimal digits.

Limitations:

· 10-day trial

What's New in This Release: [ read full changelog ]

· Improved combinatorial function Combinations. New signature.