# 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 ?
He ignored the minus signs, thereby taking the absolute value of the terms.
The absolute value of a, denoted by [absolute value of a], will be defined by
i] of the matrix L are, in absolute value, less than one, pivoting is neccesary to ensure the backward stability of LU factorization.
They are of absolute value because they are grounded on the dignity of each human life and person.
These rating actions reflect the much-increased credit enhancement for the class M and B notes, the seasoning of the loan pool, declining absolute values for arrears, and the servicer's ability to maintain realized losses at a very low level.
Since the components of the vectorial norm are the absolute values of the components of the vector B(v - [u.
F] of the matrix) to temporarily obtain smaller eigenvalues with absolute values in the unit interval and thus smaller polynomial ratios.
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.

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