"The Modulus is the remainder of the euclidean division": According to the Wikipedia article you've referenced, the modulus is the divisor in the modulo operation, not the remainder: "the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the ...
The modulus operator takes a division statement and returns whatever is left over from that calculation, the "remaining" data, so to speak, such as 13 / 5 = 2. Which means, there is 3 left over, or remaining from that calculation.
The modulus is a mathematical operation, sometimes described as "clock arithmetic." I find that describing it as simply a remainder is misleading and confusing because it masks the real reason it is used so much in computer science.
You can think of the modulus operator as giving you a remainder. count % 6 divides 6 out of count as many times as it can and gives you a remainder from 0 to 5 (These are all the possible remainders because you already divided out 6 as many times as you can). The elements of the array are all printed in the for loop, but every time the remainder is 5 (every 6th element), it outputs a newline ...
Modulus is a term used for absolute value in complex analysis, and also a term used for the thing-being-divided-by in remainder arithmetic (actually called modular arithmetic).
29 It is the modulo (or modulus) operator: The modulus operator (%) computes the remainder after dividing its first operand by its second. For example:
Is it a modulus operator or a remainder operator? They differ when the divisor is negative. Specifically, both compute r in D = dq + r, but modulus rounds d towards minus infinity, while remainder rounds d towards zero.
Possible Duplicate: Recognizing when to use the mod operator What are the practical uses of modulus? I know what modulo division is. The first scenario which comes to my mind is to use it to fi...
Modulus can refer to a couple of different things depending on the context. There is modulus in the sense of modular arithmetic (the base number under consideration), there is modulus of complex number (think absolute value) and there is a notion of modulus in algebraic number theory.
