First we multiply them: 10 × 51.2 × 8 = 4096 Then (as there are three numbers) take the cube root:3√4096 =16 In one line: Geometric Mean =3√(10 × 51.2 × 8) = 16 It is like the volume is the same: Example: What is theGeometric Meanof1, 3, 9, 27 and 81?
ge′omet′ric mean′ n. the mean ofnpositive numbers obtained by taking thenth root of the product of the numbers:The geometric mean of 6 and 24 is 12. Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. ...
The paper is thus an excellent self-contained tutorial on the theory of the arithmetic-geometric mean, quadratically convergent algorithms (including Newton's algorithm for computing square roots and roots of polynomials), and how these concepts lead to fast algorithms for π and elementary functions...
Reassessment of ABO blood group, sex, and age on laboratory parameters used to diagnose von Willebrand disorder: potential influence on the diagnosis vs th... We reassessed the influence of ABO blood group, sex, and age on plasma levels of von Willebrand factor (vWF) antigen, vWF:ristocetin ...
Formulas are derived, by direct integration of the defining definite integrals, for the general geometric mean distance between (i) a point and a line segment; (ii) a point and a rectangular area; (iii) two parallel line segments; (iv) two orthogonal line segments; (v) a line segment an...
Sample meanDot plotEmpirical cumulative distribution functionHistogramCumulative histogramSummary The sample mean is sometimes depicted as a fulcrum placed under the Dot plot. We provide an alternative geometric visualization of the sample mean using the empirical cumulative distribution function or the ...
Near-to-far-field transformations require the tangential electric and magnetic fields over a surface, which we call the integration boundary. However, the staggered nature of the finite-difference time-domain grid is problematic in that the electric and magnetic fields are not collocated in either ...
Let pn denote the n-th prime number and let Gn be the geometric mean of the first n primes. It is well-known that Gn/pn → 1/e as n →∞, where e is the Euler's number. The aim of this note is to give various proofs of this fact, equivalent establishments and generalizations....
The development of this algorithm involves a proof that the portfolio with maximum geometric mean lies on the efficient frontier in arithmetic mean variance space. This finding has major implications for the relevancy of much of portfolio and general equilibrium theory. These implications are explored....
What Is the Geometric Mean of 2 and 4 and 8? To get the answer, multiply the numbers—2 x 4 x 8 = 64. You have to use the third root because you have three values—which looks like3√64. You invert the three, resulting in a fraction of 1/3, and raise 64 to its power. So...