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  2. Quadratic mean diameter - Wikipedia

    en.wikipedia.org/wiki/Quadratic_mean_diameter

    In forestry, quadratic mean diameter or QMD is a measure of central tendency which is considered more appropriate than arithmetic mean for characterizing the group of trees which have been measured. For n trees, QMD is calculated using the quadratic mean formula:

  3. Stand density index - Wikipedia

    en.wikipedia.org/wiki/Stand_Density_Index

    When the quadratic mean diameter equals 10 inches (250 mm), the log of N equals the log of the stand density index. In equation form: log 10 SDI = -1.605(1) + k Which means that: k = log 10 SDI + 1.605 Substituting the value of k above into the reference-curve formula gives the equation: log 10 N = log 10 SDI + 1.605 - 1.605 log 10 D

  4. Root mean square - Wikipedia

    en.wikipedia.org/wiki/Root_mean_square

    Physical scientists often use the term root mean square as a synonym for standard deviation when it can be assumed the input signal has zero mean, that is, referring to the square root of the mean squared deviation of a signal from a given baseline or fit. [8] [9] This is useful for electrical engineers in calculating the "AC only" RMS of a signal.

  5. Geometric mean - Wikipedia

    en.wikipedia.org/wiki/Geometric_mean

    The geometric mean is more appropriate than the arithmetic mean for describing proportional growth, both exponential growth (constant proportional growth) and varying growth; in business the geometric mean of growth rates is known as the compound annual growth rate (CAGR). The geometric mean of growth over periods yields the equivalent constant ...

  6. QM-AM-GM-HM inequalities - Wikipedia

    en.wikipedia.org/wiki/QM-AM-GM-HM_Inequalities

    In mathematics, the QM-AM-GM-HM inequalities, also known as the mean inequality chain, state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (also known as root mean square). Suppose that ,, …, are positive real numbers. Then

  7. Beta distribution - Wikipedia

    en.wikipedia.org/wiki/Beta_distribution

    In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1) in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution.

  8. Pythagorean addition - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_addition

    Hypotenuse calculator a: 3: b: 4: ... the diameter is the longest distance between two points, ... The root mean square or quadratic mean of a finite set of ...

  9. Pythagorean means - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_means

    Nomograms to graphically calculate arithmetic (1), geometric (2) and harmonic (3) means, z of x=40 and y=10 (red), and x=45 and y=5 (blue) Of all pairs of different natural numbers of the form ( a , b ) such that a < b , the smallest (as defined by least value of a + b ) for which the arithmetic, geometric and harmonic means are all also ...