What Is Modulus In Mathematics Everything in column 2 is a multiple of 5 with 1 as a remainder Now the abstract part You can write that 1 as 1 5 or as a decimal expansion The modulus operator returns only the column or in another way of thinking it returns the remainder on long division You are dealing in modulo 5 Different modulus different table Think of a Hash
As I said it depends on the context If you are hinting at Euclidian division then indeed the remainder is always positive But in other contexts this is not necessarily the case Especially since this is a programming forum it should be known that the meaning of modulus can differ from language to language For example in C derived languages the operator is the modulus operator Thus int p 625 221 would assign 183 to p You can achieve the same functionality by dividing 625 by 221 as integer division and getting the answer 2
What Is Modulus In Mathematics
What Is Modulus In Mathematics
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In mathematics the result of the modulo operation is the remainder of the Euclidean division However other conventions are possible Computers and calculators have various ways of storing and representing numbers thus their definition of the modulo operation depends on the programming language and or the underlying hardware Modulus is just the remainder in division before its used in a decimal quotient Example The division of two numbers is often expressed as a decimal number quotient But the result of the division of say 1 3 can also be expressed in whole numbers as 0 with a remainder of 1
The modulo operator as used in many computer programming languages is not common in pure mathematics So it is rather a question of how the operator is treated in programming languages and this differ between different langauges Doh Yep I meant returns the quotient as well Corrected It works for negative divisors with result as given in the comment doc Remainder aka modulus will have same sign as divisor For a negative divisor the modulus is periodic over the range divisor 0
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Almost every programming language will require that a n n a n a So the definition of modulus will nearly always depend on the definition of integer division There are two choices for integer division by negative numbers 2 18 0 or 2 18 1 Depending on which one is true for your language will usually change the operator Inverse mod is a relation you start to get to more tricky mathematics if you try to pursue this If you re in haskell you could easilyish model it with non determinism an infinite list of possible answers Also this isn t really a programming question check out math exchange
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Everything in column 2 is a multiple of 5 with 1 as a remainder Now the abstract part You can write that 1 as 1 5 or as a decimal expansion The modulus operator returns only the column or in another way of thinking it returns the remainder on long division You are dealing in modulo 5 Different modulus different table Think of a Hash
https://stackoverflow.com › questions
As I said it depends on the context If you are hinting at Euclidian division then indeed the remainder is always positive But in other contexts this is not necessarily the case Especially since this is a programming forum it should be known that the meaning of modulus can differ from language to language
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What Is Modulus In Mathematics - Doh Yep I meant returns the quotient as well Corrected It works for negative divisors with result as given in the comment doc Remainder aka modulus will have same sign as divisor For a negative divisor the modulus is periodic over the range divisor 0
