# absolute value

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## absolute value

n.
1. The numerical value of a real number without regard to its sign. For example, the absolute value of -4 (written │-4│) is 4. Also called numerical value.
2. The modulus of a complex number, equal to the square root of the sum of the squares of the real and imaginary components of the number.

## absolute value

n
1. (Mathematics) the positive real number equal to a given real but disregarding its sign. Written | x |. Where r is positive, | r | = r = | –r |
2. (Mathematics) Also called: modulus a measure of the magnitude of a complex number, represented by the length of a line in the Argand diagram: |x + iy | = √(x2 + y2), so | 4 + 3i | = 5
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ab′solute val′ue

n.
1. the magnitude of a quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |3| or |−3| is three.
2. the square root of the sum of the squares of the real and imaginary parts of a given complex number. Also called modulus.
[1905–10]

## absolute value

The value of a number without regard to its sign. For example, the absolute value of +3 (written │+3│) and the absolute value of -3 (written │-3│) are both 3.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 absolute value - a real number regardless of its signnumerical valuedefinite quantity - a specific measure of amountmodulus - the absolute value of a complex number
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in classic literature ?
There was only one thing that had an absolute value for each individual, and it was just that original impulse, that internal heat, that feeling of one's self in one's own breast.
One may almost doubt if the wisest man has learned anything of absolute value by living.
This growth affected both the foreign markets, where the index registered an absolute value of 103.4 points (+5%) and Italy.
Our activity focused on vertical and horizontal transformations of absolute value functions.
Notice that the absolute value of the ending term, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (where C = 2/[[absolute value of x].sup.3] with [absolute value of h] [less than or equal to] [absolute value of x]/2).
Take, for example, absolute value. In many of today's textbooks, the students are given |x|, where x is any real number, and asked to find the absolute value of x.
Also, our considerations are much more general taking into account that we restrict the function [absolute value of]f(z)] to be bounded from above by the absolute value of a Chebyshev function [C.sub.[sigma]](z) only at discrete set of points on R, namely at k[pi]/[sigma], k [member of] Z and there is no need for the points k[pi]/[sigma] to be points of local extrema for f(z).
where [M.sub.[absolute value of max]] denotes that eigenvalue of M, which has the maximum absolute value (and analogously for [M.sub.[absolute value of min]]); symbol [M.sup.*] denotes deviatoric part of M; absolute values of ISO, CLVD and DC range in interval <0,1>.
"Of all the changes that the 20th century has brought, none goes deeper than the disappearance of that unquestioning faith in the future and the absolute value of our civilization which was the dominant note of the 19th century.
Our analysis of concurrent disclosures in earnings announcement press releases is consistent with Lo and Lys' (2001) conjecture that the disparity between results showing increasing information content of earnings announcements (as measured by absolute value or squared return responses and/or volume responses) and decreasing value-relevance of earnings (as measured, for example, by the [R.sup.2] from a regression of returns on earnings levels and changes) may be due to other disclosures released concurrently with the summary earnings number.
Both the uncertainty in, and the absolute value of, the survival ratio when it is applied to asbestos and environmental liabilities can vary widely from company to company.
For nearly all test parameters, the absolute value (LOI, ADV, AFS clay, temperature, etc.) of a measured characteristic is not as important as maintaining a narrow range for this parameter.

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