modular arithmetic

It is of quite general use, for example in modular arithmetic.

The game can be expanded for a larger number of players by using modular arithmetic.

This makes use of modular arithmetic for provisions especially attractive.

See in particular chapters 5 and 6 for a review of basic modular arithmetic.

Modular arithmetic can be used to show the idea of congruence.

Note how the elements are non-negative because of the modular arithmetic.

Modular arithmetic, the modulus being the value at which numbers "wrap around"

Why it is valid to "cancel" in the setting of modular arithmetic.

He also was the first mathematician to explain Modular arithmetic in a very detailed way.

People talked about modular arithmetic in many ancient cultures.

Modular arithmetic is useful in many fields, such as cryptography, computer science, and music.

It is even more efficient to use modular arithmetic, which reduces the problem to a similar one over a finite field.

Advanced modular arithmetic can show that any prime of the following forms:

In modern times modular arithmetic is sometimes used in Digital signal processing.

A great convenience of modular arithmetic is that it is easy to multiply, though quite difficult to add.

The corresponding addition and multiplication of equivalence classes is known as modular arithmetic.

The use of modular arithmetic often helps.

He further advanced modular arithmetic, greatly simplifying manipulations in number theory.

See modular arithmetic for more on modulo 12.

Subtract 3 from both sides (this is permitted in modular arithmetic)

Before Gauss, mathematicians had used modular arithmetic in some cases but did not know much about using it broadly.

Steps 4 and 5 can be performed with the extended Euclidean algorithm; see modular arithmetic.

These proofs require some background in modular arithmetic.

This ring is not commutative unless k equals the field (see modular arithmetic).

Modular arithmetic is convenient for calculating the check digit using modulus 11.