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modulus

 
Dictionary: mod·u·lus   (mŏj'ə-ləs) pronunciation
n., pl., -li (-lī').
  1. (Abbr. m or M) Physics. A quantity that expresses the degree to which a substance possesses a property, such as elasticity.
    1. Mathematics. The absolute value of a complex number.
    2. (Abbr. mod) A number by which two given numbers can be divided and produce the same remainder.
    3. The number by which a logarithm in one system must be multiplied to obtain the corresponding logarithm in another system.

[Latin, diminutive of modus, measure.]


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A mathematical operation (modulus arithmetic) in which the result is the remainder of a division. Also known as the "remainder operator," it is used to solve a variety of problems. For example, the following code in the C language determines if a number is odd or even. The number in AMOUNT is divided by 2, and the result is the remainder. If RESULT is zero, the number is even. The % symbol is the modulo, or "modulus" operator.

      result = amount % 2;
      if (result == 0)
         EVEN=YES;
      else
         EVEN=NO;

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n

A constant that numerically indicates the amount in which a certain property is possessed by any object.

Measures and Units: modulus
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mathematics Expressed as |z| for the number z = a + bi and defined as |z| = +


, hence it is always a positive value. If z is a real number, then b = 0 and |z| = -z for z < 0, |z| = z for z ≥ 0; called also the arithmetic value of z. Used likewise for functions, but also more elaborately in certain fields.

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Some good "modulus" pages on the web:


Math
mathworld.wolfram.com
 
 
 

 

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Measures and Units. A Dictionary of Weights, Measures, and Units. Copyright © Donald Fenna 2002, 2004. All rights reserved.  Read more