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Modular arithmetic lets us state these results quite precisely, and it also provides a convenient language for similar but slightly more complex statements. In the above example, our modulus is the number 2. The modulus can be thought of as the number of classes that we have broken the integers up into.
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www.math.rutgers.edu/~erowland/modulararithmetic.html
www.math.rutgers.edu/~erowland/modulararithmetic.html
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And, because of that, for every number from 1 to 6, some number from 1 to 6 will, when multiplied by that number, give 1. This is not always true in modular arithmetic: it is true here because 7, the modulus, is a prime number.
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www.quadibloc.com/crypto/pk0501.htm
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Oct 27, 2009 ... Modular arithmetic is the arithmetic of congruences, sometimes known informally as "clock arithmetic." In modular arithmetic, numbers "wrap ...
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mathworld.wolfram.com/ModularArithmetic.html
mathworld.wolfram.com/ModularArithmetic.html
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Mod, Modulus, Modular Arithmetic ... or, equivalently, that their difference is a multiple of 12. As I discuss in the following Dr. Math archived answer, "mod" is short for "modulo", which is Latin for "with respect to the modulus ...". Here we are ... In turn, we call the whole system "modular arithmetic." What is Modulus?
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mathforum.org/library/drmath/view/62930.html
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You may have encountered this in the form of clock arithmetic. For example, the hours on a clock face can be considered as a modulo 12 system, with only the numbers from 1 to 12 being possible. ... The difference between clock arithmetic and modulo arithmetic is that in modulo arithmetic the numbers begin at 0.
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nrich.maths.org/public/viewer.php?obj_id=1346&part=inde...
nrich.maths.org/public/viewer.php?obj_id=1346&part=index
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Resources tagged with Modulus arithmetic similar to Really Mr. Bond: ... Modulus Arithmetic and a Solution to Dirisibly Yours ... Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message...
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nrich.maths.org/public/leg.php?code=-6&cl=4&cldcmpid=86...
nrich.maths.org/public/leg.php?code=-6&cl=4&cldcmpid=867
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Divides the value of one expression by the value of another, and returns the remainder. ... The modulus, or remainder, operator divides number1 by number2 and returns only the remainder. The sign of the result is the same as the sign of number1. The value of the result is between 0 and the absolute value of number2.
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msdn.microsoft.com/en-us/library/h6zfzfy7(VS.80).aspx
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The (%) operator is use to divide two numbers and returns the remainder. ... The modulus, or remainder, operator divides number1 by number2 (rounding floating-point numbers to integers) and returns only the remainder as result. For example, in the following expression, A (which is result) equals 5.
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www.c-point.com/javascript_tutorial/jsoprmod.htm
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Modular Arithmetic: introduction and an interactive tools ... Modular (often also Modulo) Arithmetic is an unusually versatile tool discovered by K.F.Gauss (1777-1855) in 1801. Two numbers a and b are said to be equal or congruent modulo N iff N|(a-b), i.e. iff their difference is exactly divisible by N. Usually (and on...
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www.cut-the-knot.org/blue/Modulo.shtml
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