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3.2.8 Mathematical Constants
Mathematical constants.
Euler's constant EulerGamma is given by the limit  . It appears in many integrals, and asymptotic formulas. It is sometimes known as the Euler-Mascheroni constant, and denoted  .
Catalan's constant Catalan is given by the sum  . It often appears in asymptotic estimates of combinatorial functions.
Khinchin's constant Khinchin (sometimes called Khintchine's constant) is given by  . It gives the geometric mean of the terms in the continued fraction representation for a typical real number.
Glaisher's constant Glaisher  (sometimes called the Glaisher-Kinkelin constant) satisfies  , where  is the Riemann zeta function. It appears in various sums and integrals, particularly those involving gamma and zeta functions.
Mathematical constants can be evaluated to arbitrary precision.
In[1]:= N[EulerGamma, 40]
Out[1]= 
Exact computations can also be done with them.
In[2]:= IntegerPart[GoldenRatio^100]
Out[2]= 
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