Modulus - Revision history

DavidB4-bot: /* top */clean up

2016-06-23T15:05:58Z

top: clean up

2009-09-23T20:02:17Z

Improved; put in computer meaning. Also, I think this is the way to disambiguate when one meaning is less prominent.

2009-09-22T22:56:15Z

slight expansion

2009-09-22T22:51:14Z

wikify

2009-09-22T22:50:42Z

categorizesd; all functions of mathematics are under the category of mathematics

2009-09-14T12:31:49Z

Created page with 'The '''modulus''' function provides the remainder of division. For example, in 5 / 3 the remainder is 2. category:operators'

New page

The '''modulus''' function provides the remainder of division. For example, in 5 / 3 the remainder is 2.

[[category:operators]]

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-The remainder operation is also important in computer programming, and the term "modulus" is used to refer to this operation.  In [[C_programming_language|C]]-like languages it is denoted with a percent sign:
+The remainder operation is also important in computer programming, and the term "modulus" is used to refer to this operation.  In [[C programming language|C]]-like languages it is denoted with a percent sign:
 ::::x = 11 % 3;    // x is now 2
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 [[Category:Mathematics]]
-[[Category: Programming Languages]]
+[[Category:Programming Languages]]

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-The '''modulus''' function provides the [[remainder]] of [[division]]. For example, in 5 / 3 the remainder is 2.  This is often restated as "5 is congruent to 3 modulo 2" and written symbolically as "<math>5 \equiv 2 \mod 3</math>".  Similarly, we could write <math>19 \equiv 1 \mod 3</math> to express the remained of carrying out this division.
+::''For the term relating to complex numbers, see [[Complex number]].''
-Unrelatedly, the [[complex number|complex]] analogue of the absolute value, given by <math> |a+bi| = a^2 + b^2</math> is also sometimes known as the modulus.
+Aside from its unrelated use in complex numbers, the term '''modulus''' refers to the [[remainder]], that is, the remainder of integer [[division]].  For example, in 11 / 3 the remainder is 2.  This could be stated as <math>mod(11, 3) = 2\,</math>, though mathematicians much more commonly express it as "11 is congruent to 2 modulo 3" and write it symbolically as "<math>11 \equiv 2\mod 3</math>".
-[[category:Mathematics]]
+The notion of congruence is actually more general than the remainder function.  We could also say "2 is congruent to 11 modulo 3", or "<math>2 \equiv 11\mod 3</math>".

← Older revision		Revision as of 22:56, September 22, 2009
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−	The '''modulus''' function provides the [[remainder]] of [[division]]. For example, in 5 / 3 the remainder is 2.	+	The '''modulus''' function provides the [[remainder]] of [[division]]. For example, in 5 / 3 the remainder is 2. This is often restated as "5 is congruent to 3 modulo 2" and written symbolically as "<math>5 \equiv 2 \mod 3</math>". Similarly, we could write <math>19 \equiv 1 \mod 3</math> to express the remained of carrying out this division.
		+
		+	Unrelatedly, the [[complex number\|complex]] analogue of the absolute value, given by <math> \|a+bi\| = a^2 + b^2</math> is also sometimes known as the modulus.

	[[category:Mathematics]]		[[category:Mathematics]]

← Older revision		Revision as of 22:51, September 22, 2009
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−	The '''modulus''' function provides the remainder of division. For example, in 5 / 3 the remainder is 2.	+	The '''modulus''' function provides the [[remainder]] of [[division]]. For example, in 5 / 3 the remainder is 2.

	[[category:Mathematics]]		[[category:Mathematics]]

← Older revision		Revision as of 22:50, September 22, 2009
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	The '''modulus''' function provides the remainder of division. For example, in 5 / 3 the remainder is 2.		The '''modulus''' function provides the remainder of division. For example, in 5 / 3 the remainder is 2.

−	[[category:~~operators~~]]	+	[[category:Mathematics]]