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HARMNUMBName:
The case where m = 1 is referred to as the harmonic number and has the formula
The m parameter is restricted to values greater than 1.
where <n> is a number, variable, or parameter (> 1); <y> is a variable or a parameter (depending on what <x> is) where the computed harmonic number is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax computes the harmonic number.
<SUBSET/EXCEPT/FOR qualification> where <n> is a positive integer number, parameter or variable; <m> is a number, parmeter, or variable (> 1); <y> is a variable or a parameter (depending on what <x> is) where the computed harmonic number is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax computes the generalized harmonic number.
LET A = HARMNUMB(200,1.5)
"AMS 55: Handbook of Mathematical Functions", Abramowitz and Stegun, Eds., Washington, DC, National Bureau of Standards, 1964.
multiplot corner coordinates 0 0 100 95 multiplot scale factor 2 case asis label case asis title case asis tic offset units screen tic offset 3 3 title displacement 2 y1label displacement 17 x1label displacement 12 x1label N y1label Harmonic Number . multiplot 2 2 . let m = 1.5 title M = ^m plot harmnumb(n,m) for n = 1 1 100 . let m = 2.0 title M = ^m plot harmnumb(n,m) for n = 1 1 100 . let m = 2.5 title M = ^m plot harmnumb(n,m) for n = 1 1 100 . let m = 3.0 title M = ^m plot harmnumb(n,m) for n = 1 1 100 . end of multiplot . justification center move 50 97 text Generalized Harmonic Numbers (N = 1 to 100)
Date created: 6/12/2006 |