調和平均 : inverse of the inverses average (without zeros)
hm = harmean(x) hm = harmean(x, 'r'|1 ) hm = harmean(x, 'c'|2 )
vector, matrix, or hypermatrix of real or complex numbers or polynomials. Rationals not supported.
scalar, or row (if "r"
is used), or
column (if "c"
is used).
If x
are polynomials,
hm
is of rational type.
This function computes the harmonic mean of input values = inverse of the average of inversed non-zero values.
hm = harmean(x,'r')
(または等価な
hm = harmean(x,1)
) は,
行ベクトルhm
の各要素に
x
の各列の調和平均を返します.
hm = harmean(x,'c')
(または等価な
hm = harmean(x,2)
) は,
列ベクトルhm
の各エントリに
x
の各行の調和平均を返します.
![]() | If x is an hypermatrix and a
"r", 1, "c", 2 flag is used, an error occurs. |
harmean(1:10) // Returns 1 / mean(1 ./(1:10)) h = harmean([1 1 0 1 0 1]) // returns 1: zeros are not considered 1 / mean(1./[1 1 0 1 0 1]) // returns 0, as soon as a zero is present x = grand(3, 4, "uin",-10, 10) harmean(x) harmean(x, "r") harmean(x, 2) // Hypermatrix x = grand(3,4,2, "uin",-10, 10) harmean(x) harmean(x, "r") // error: not supported harmean(x, 3) // error: not supported harmean([%z 0]) harmean([%z %z/2]) harmean([%z %i+%z]) harmean([%z %i+%z]) == 1 / ((1/%z + 1/(%i+%z))/2) | ![]() | ![]() |
Wonacott, T.H. & Wonacott, R.J.; Introductory Statistics, fifth edition, J.Wiley & Sons, 1990.