Modulo in a sentence

An integer a is a quadratic residue modulo p if it is congruent to a perfect square modulo p and is a quadratic nonresidue modulo p otherwise.

In this case, the exclusive-or component is generalized to addition modulo -q (note that XOR is addition modulo 2), and the feedback bit (output bit) is multiplied (modulo-q) by a q-ary value, which is constant for each specific tap point.

Alameda, at the direction of FTX founder Sam Bankman-Fried, had paid $25 million to acquire a stake in Modulo and contributed $450 million to an investment fund managed by Modulo, according to the filings.

For instance, if we wish to know what the result of the evaluation of a mathematical expression involving only integers +, -, ×, is worth modulo n, we need only perform all operations modulo n (a familiar form of this abstraction is casting out nines ).

In informal contexts, mathematicians often use the word modulo (or simply "mod") for similar purposes, as in "modulo isomorphism".

The function modulo instead of mod, like 38 ≡ 14 (modulo 12) is sometimes used to indicate the common residue rather than a remainder (for example, in Ruby ).

The concept was called the Pininfarina Ferrari Modulo.

Ada supports numerical types defined by a range, modulo types, aggregate types (records and arrays), and enumeration types.

Alternatively, decoding a Gray code into a binary number can be described as a prefix sum of the bits in the Gray code, where each individual summation operation in the prefix sum is performed modulo two.

Another typical example is the statement that "there are two different groups of order 4 up to isomorphism ", or "modulo isomorphism, there are two groups of order 4".

Arithmetic modulo a prime and finite fields main Modular arithmetic modifies usual arithmetic by only using the numbers : where n is a fixed natural number called modulus.

As usual, denotes addition modulo 2. The operation flips the oracle qubit if and leaves it unchanged otherwise.

A wide range of identities are used that are true modulo certain subgroups.

Because of this, many formulas in algorithms (such as that for calculating hash table indices) can be elegantly expressed in code using the modulo operation when array indices start at zero.

By doing so, the following statements become true: *Modulo a prime, there are an equal number of quadratic residues and nonresidues.

Congruence modulo (for a fixed ) is compatible with both addition and multiplication on the integers.

Definitions vary regarding integer division when the dividend or the divisor is negative: rounding may be toward zero (so called T-division) or toward ∞ (F-division); rarer styles can occur see Modulo operation for the details.

Every cyclic group can be given a structure as a cyclically ordered group, consistent with the ordering of the integers (or the integers modulo the order of the group).

Field of fractions main The field of fractions K of an integral domain R is the set of fractions a/b with a and b in R and b ≠ 0 modulo an appropriate equivalence relation, equipped with the usual addition and multiplication operations.

For every positive integer n, the set of integers modulo n, again with the operation of addition, forms a finite cyclic group, the group Z/n.