Modulus
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
المرجع الالكتروني للمعلوماتيه
الجزء والصفحة:
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12-1-2020
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Modulus
The word modulus has several different meanings in mathematics with respect to complex numbers, congruences, elliptic integrals, quadratic invariants, sets, etc.
The modulus of a congruence 
is the number 
. It is the "base" with respect to which a congruence is computed (i.e., 
gives the number of multiples of 
that are "thrown out"). For example, when computing the time of day using a 12-hour clock obtained by adding four hours to 9:00, the answer, 1:00, is obtained by taking 
(i.e., adding the hours with modulus 12).
In many computer languages (such as FORTRAN or the Wolfram Language), the common residue of 
(mod 
) is written mod(b,m) (FORTRAN) or Mod[b,m]
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