"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.
I know how to solve mod using division i.e. $$11 \\mod 7 = 4$$ For this I did a simple division and took its remainder: i.e. $$11 = 7 \\cdot 1 + 4$$ Where $11$ was dividend, $7$ divisor, $1$ quotient...
Why do you say a prime modulus require an integer division? I guess people were talking about that common implementation that requires addition and multiplication only: hash = modulus * hash + field1; hash = modulus * hash + field2; ...
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).
The modulus operator in Java is the percent character (%). Therefore taking an int % int returns another int. The double equals (==) operator is used to compare values, such as a pair of ints and returns a boolean. This is then assigned to the boolean variable 'isEven'. Based on operator precedence the modulus will be evaluated before the ...
The eigenvalues of an orthogonal matrix needs to have modulus one. If the eigenvalues happen to be real, then they are forced to be $\pm 1$. Otherwise though, they are free to lie anywhere on the unit circle.
29 It is the modulo (or modulus) operator: The modulus operator (%) computes the remainder after dividing its first operand by its second. For example:
In the context of cryptography, I need to find the private key of a message and I need to use modular arithmetic. I understand how modular arithmetic using a clock with whole numbers. But I get rea...
