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If we denote by and the arithmetic mean, geometric mean and harmonic mean of and, respectively, then.
For example, arithmetic mean, geometric mean and median can be regarded as a basic class, because they are often used and very classic.
If we denote by,,, and the arithmetic mean, identric mean, logarithmic mean, geometric mean and harmonic mean of two positive numbers and, respectively, then (1.2).
The operator versions (Anabla_{{u}}B), (A#_{{u}}B), (A!_{{u}}B) are called the arithmetic mean, geometric mean and harmonic mean, respectively.
Event related potentials (ERPs) are modeled as random vectors in order to determine multivariate central-tendency (C-T) estimates of ERPs such as the arithmetic mean, geometric mean, harmonic mean, median, tri-mean, trimmed-mean, and the Winsorized mean.
The Hölder mean is an abstraction of the Pythagorean means which, for example, includes minimum, harmonic mean, geometric mean, arithmetic mean, quadratic mean, maximum, and the MLE of the scale-W parameter where is the shape parameter of Weibull distribution.
Similar(34)
The anti log-transformed vanti log-transformedgeometric mean) are reported in the tables found in the online appendix (http://care.diabetesjournals.org/cgi/content/full/dc09-0542/DC1).
Means, geometric means, and medians of individual and total phthalate metabolites were also calculated based on weighted data.
Arithmetic means, geometric means (GMs), least-squares geometric means (LSGMs), weighted Pearson correlation coefficients, and percentiles of 3PBA, cis-DCCA, and trans-DCCA concentrations were calculated using SAS (release 9.1; SAS Institute Inc., Cary, NC) and SUDAAN (release 9.0).
In the case of normally (log-normally) distributed variables the bars in bar charts represent means (geometric means) and the error bars represent standard errors (standard errors calculated on the log-scale and back-transformed asymmetrically to the original scale).
by the arithmetic mean-geometric mean inequality and the right of inequality (4.1).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com