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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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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
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.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.