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Modulo operation information


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Modulo

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modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the modulus of the operation)...

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Modular arithmetic

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with the notation b mod m (without parentheses), which refers to the modulo operation, the remainder of b when divided by m: that is, b mod m denotes the...

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International Bank Account Number

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does not provide the ability to handle integers of this size, the modulo operation can be performed in a piece-wise manner (as is the case with the UN...

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Operation

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graphs from initial ones Modulo operation, operation finds the remainder after division of one number by another Operations research, in British usage...

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Modulus

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measure of elastic stiffness Young's modulus, a specific elastic modulus Modulo operation (a % b, mod(a, b), etc.), in both math and programming languages; results...

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Remainder

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"left over" after dividing one polynomial by another. The modulo operation is the operation that produces such a remainder when given a dividend and divisor...

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Modular multiplicative inverse

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next section. The congruence relation, modulo m, partitions the set of integers into m congruence classes. Operations of addition and multiplication can be...

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Triangle wave

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operator (with result the same sign as the dividend), not a modulo operator; the modulo operation can be obtained by using ((x % p) + p) % p in place of x %...

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Euclidean division

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only remainders are considered. The operation consisting of computing only the remainder is called the modulo operation, and is used often in both mathematics...

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ISBN

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second modulo operation, the calculation could result in a check digit value of 11 − 0 = 11, which is invalid. (Strictly speaking, the first "modulo 11"...

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Primitive root modulo n

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a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer...

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Feature hashing

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features and using their hash values as indices directly (after a modulo operation), rather than looking the indices up in an associative array. In addition...

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Caesar cipher

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{\displaystyle D_{n}(x)=(x-n)\mod {26}.} (Here, "mod" refers to the modulo operation. The value x is in the range 0 to 25, but if x + n or x − n are not...

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Floor and ceiling functions

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for x not an integer. For an integer x and a positive integer y, the modulo operation, denoted by x mod y, gives the value of the remainder when x is divided...

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Finite field arithmetic

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the ring of integers modulo p. That is, one can perform operations (addition, subtraction, multiplication) using the usual operation on integers, followed...

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Luhn algorithm

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environments due to differences in how negative numbers are handled by the modulo operation. Assume an example of an account number 1789372997 (just the "payload"...

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Modular exponentiation

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multiplying the result from the previous iteration, c, by b and performing a modulo operation on the resulting product, thereby keeping the resulting c a small integer...

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Percent sign

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INTERCAL). In computing, the percent character is also used for the modulo operation in programming languages that derive their syntax from the C programming...

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Financial Information eXchange

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SOH characters with ASCII value 1) results in 4158. Performing the modulo operation gives the value 62. Since the checksum is composed of three characters...

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Mod

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attack applicable to block and stream ciphers Modulo (mathematics) Modular arithmetic Modulo operation Modular exponentiation MOD., a science museum at...

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Multiplicative group of integers modulo n

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non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n. Equivalently, the elements of this group can...

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GPS signals

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modulo operations correspond to resets. Note that both are reset each millisecond (synchronized with C/A code epochs). In addition, the extra modulo operation...

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Toffoli gate

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b, c} to {a, b, c XOR (a AND b)}. This can also be understood as a modulo operation on bit c: {a, b, c} → {a, b, (c + ab) mod 2}, often written as {a,...

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