- the positive real number equal to a given real but disregarding its sign. Written | x |. Where r is positive, | r | = r = | –r |
- 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
WordReference Random House Unabridged Dictionary of American English © 2020
ab′solute val′ue, [Math.]
- 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 3.
- the square root of the sum of the squares of the real and imaginary parts of a given complex number, as ∥a + bi∥ is equal to a2+b2&fullradicover;
. Also called modulus.
Collins Concise English Dictionary © HarperCollins Publishers::
absolute value n
'absolute value' also found in these entries:
Lipschitz condition - Weierstrass approximation theorem - absolute - absolute convergence - alternation - amplitude - bounded - comparison test - conditional convergence - continuous function - curvature - dominate - historicism - improper fraction - limit - maximum principle - modulus - norm - normal - proper fraction - radius of convergence - radius of curvature - ratio test - root test - triangle inequality