absolute irreducibility - определение. Что такое absolute irreducibility
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Что (кто) такое absolute irreducibility - определение


Absolute irreducibility         
In mathematics, a multivariate polynomial defined over the rational numbers is absolutely irreducible if it is irreducible over the complex field.... For example, x^2+y^2-1 is absolutely irreducible, but while x^2+y^2 is irreducible over the integers and the reals, it is reducible over the complex numbers as x^2+y^2 = (x+iy)(x-iy), and thus not absolutely irreducible.
Average absolute deviation         
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SUMMARY STATISTIC OF VARIABILITY
Mean Absolute Deviation; Mean absolute deviation; Maximum absolute deviation
The average absolute deviation (AAD) of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.
Least absolute deviations         
  • Figure A: A set of data points with reflection symmetry and multiple least absolute deviations solutions. The “solution area” is shown in green. The vertical blue lines represent the absolute errors from the pink line to each data point. The pink line is one of infinitely many solutions within the green area.
STATISTICAL OPTIMALITY CRITERION
Least absolute deviation; Minimum absolute deviation; Minimum absolute deviations; Least-absolute-deviations regression; Sum of absolute deviations; Least absolute errors; Least absolute value; Least absolute residuals; Least absolute values; LAD regression
Least absolute deviations (LAD), also known as least absolute errors (LAE), least absolute residuals (LAR), or least absolute values (LAV), is a statistical optimality criterion and a statistical optimization technique based minimizing the sum of absolute deviations (sum of absolute residuals or sum of absolute errors) or the L1 norm of such values. It is analogous to the least squares technique, except that it is based on absolute values instead of squared values.