double Harmonic(int n);
Harmonic number H(n).
| # | Name | Type | Description |
|---|---|---|---|
| 1 | n | int | upper summation index; non-negative integer. |
Returns: the harmonic number H(n).
Remarks:
The n-th harmonic number is the finite sum
H_n = sum_(k=1)^n1/k .
Domain: n integer. Defined behavior: returns the exact finite sum; it is strictly increasing in n, equals (see Probabilities::GenHarmonic), and satisfies H_n=psi(n+1)+gamma where gamma is the Euler-Mascheroni constant. For n <= 0 the empty sum is 0.
See Also: Probabilities::GenHarmonic
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler