# absolute value

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## absolute value

absolute value, magnitude of a number or other mathematical expression disregarding its sign; thus, the absolute value is positive, whether the original expression is positive or negative. In symbols, if |a| denotes the absolute value of a number a, then |a| = a for a > 0 and |a| = −a for a < 0. For example, |7|= 7 since 7 > 0 and |−7| = −(−7), or |−7| = 7, since −7 < 0.

## absolute value

[′ab·sə‚lüt ′val·yü]
Also known as magnitude.
(mathematics)
For a real number, the number if it is nonnegative, and the negative of the number if it is negative. Also known as numerical value.
For a complex number, the square root of the sum of the squares of its real and imaginary parts. Also known as modulus.
The length of a vector, disregarding its direction; the square root of the sum of the squares of its orthogonal components.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The students experienced adding a constant to x in the absolute value function in their trial and error efforts at the beginning of the first task and observed that it yielded a horizontal transformation.
The minimum distance at the median point is then the sum of the absolute values of the magnitudes of the points (houses) to the left and right of the median point.
We select the day with the largest (in absolute value) abnormal return in the three days surrounding the qth earnings announcement to measure the market's reaction.
Moreover, the absolute values of these ratios (e.g., 8.7, 10.5, 12.2) also have come to be viewed and overvalued as a reserve adequacy gauge, as though someone "knows" what appropriate survival ratios should be.
Random Fibonacci sequences might have leveled off to a constant absolute value because of the subtractions, for example, but they actually escalate exponentially.
The absolute value of the daily price changes is [absolute value of DP[C.sub.i]] = [summation of] [absolute value of [Delta][P.sub.j]] where j = [n.sub.i] to [n.sub.i + 1], i = 1, .
Declaring the absolute value of the life of a newly formed fetus is, on this interpretation, simply a blunt instrument of rhetorical combat used by the religious right to make sure women pay the full price of indulging their sexual appetites.
where B is an upper bound on the absolute value of the sectional curvatures, [Delta] a lower bound on the injectivity radius at Q with [Delta] [less than or equal to] c/[square root of B], and c [greater than] 0 and C [less than] [infinity] are constants depending only on the dimension while d(P, Q) is the distance from P to Q and n is the dimension.
In fact, orders from foreign markets rose 11% compared to the period from April to June 2012, for an absolute value of 123.3 points.
where M is the order of the error in the numerical method and K is the absolute value of the error constant.
The absolute value of a, denoted by [absolute value of a], will be defined by
They are of absolute value because they are grounded on the dignity of each human life and person.

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