absolute value


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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.
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.
Linear equations that make up equations of sums of absolute values.
Building on Freeman and Tse's (1992) premise that the magnitude of the absolute value of unexpected earnings reflects the degree of earnings persistence (that is, the greater the earnings persistence, the smaller the absolute value of unexpected earnings), we arrive at the following conjecture.
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.
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.
All securities deleted from the MSCI China A Index as a result of the Quarterly Index Review will also be deleted from the MSCI China A Value and Growth Index Series and MSCI China A Absolute Value and Growth Index Series.
Foreign markets recorded a more contained increase in orders (+3%, for an absolute value of 104.
In terms of the notations in Theorem 5, it is sufficient for the absolute value of the function f to be bounded by the absolute value of the Chebyshev function [C.
It is worth pointing out that the y-intercept equals b = log K, where K is the absolute value of the error constant.
The absolute value of a, denoted by [absolute value of a], will be defined by