section s of routines in series.i

Home Manual Packages Global Index Keywords Quick Reference | # functions in series.i - s
series_n |
                 series_n(r, s)

         returns the minimum number n of terms required for the geometric
         series
            1 + r + r^2 + r^3 + ... + r^n = s
         to reach at least the given value s.  An alternate viewpoint is
         that n is the minimum number of terms required to achieve the
         sum s, with a ratio no larger than r.
         Returns 0 if r<1 and s>1/(1-r), or if s<1.
         The routine makes the most sense for r>1 and s substantially
         greater than 1.  The intended use is to determine the minimum
         number of zones required to span a given thickness t with a given
         minimum zone size z, and maximum taper ratio r (assumed >1 here):
            n= series_n(r, t/z);
         With this n, you have the option of adjusting r or z downwards
         (using series_r or series_s, respectively) to achieve the final
         desired zoning.
         R or S or both may be arrays, as long as they are conformable.

    interpreted function, defined at i/series.i   line 127
SEE ALSO: | series_s, series_r
series_r |
                 series_r(s, n)

         returns the ratio r of the finite geometric series, given the sum s:
            1 + r + r^2 + r^3 + ... + r^n = s
         Using n<0 will return the the reciprocal of n>0 result, that is,
            series_r(s, -n) == 1.0/series_r(s, n)
         If n==0, returns s-1 (the n==1 result).
         S or N or both may be arrays, as long as they are conformable.

    interpreted function, defined at i/series.i   line 51
SEE ALSO: | series_s, series_n
series_s |
                 series_s(r, n)

         returns the sum s of the finite geometric series
            1 + r + r^2 + r^3 + ... + r^n
         Using n<0 is equivalent to using the reciprocal of r, that is,
            series_s(r, -n) == series_s(1./r, n)
         R or N or both may be arrays, as long as they are conformable.

    interpreted function, defined at i/series.i   line 10
SEE ALSO: | series_r, series_n