a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation...

In computer programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its...

In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through...

of operands is the arity of the operation. The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and...

two arguments Binary operation, a mathematical operation that takes two arguments Binary relation, a relation involving two elements Binary-coded decimal...

A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols...

A binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues.: 162–163 ...

formulas. See Algebraic structure for details. A set with a single binary operation that is closed is called a magma. In this context, given an algebraic...

mathematics, a unary operation is an operation with only one operand, i.e. a single input. This is in contrast to binary operations, which use two operands...

algebraic object incorporates one or more sets with one or more binary operations or unary operations satisfying a collection of axioms. Another branch of mathematics...

branch of mathematics, a monoid is a set equipped with an associative binary operation and an identity element. For example, the nonnegative integers with...

consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively...

function takes Binary operation, calculation that combines two elements of the set to produce another element of the set Graph operations, produce new graphs...

7 is Binary (2^2) + (2^1) + (2^0) = 0000 0111 int j = 3; // Decimal 3 is Binary (2^1) + (2^0) = 0000 0011 k = (i << j); // Left shift operation multiplies...

underlying set, carrier set or domain), a collection of operations on A (typically binary operations such as addition and multiplication), and a finite set...

a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations...

complexity of operations on the binary search tree is linear with respect to the height of the tree. Binary search trees allow binary search for fast...

order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures. A binary operation ∗ is usually...

single binary operation, however, need not be a quasigroup. We begin with the first definition. A quasigroup (Q, ∗) is a non-empty set Q with a binary operation...

the second input is zero. A binary operation is a binary function where the sets X, Y, and Z are all equal; binary operations are often used to define algebraic...

2-ary operation (or binary operation) is often denoted by a symbol placed between its arguments (also called infix notation), like x ∗ y. Operations of higher...

is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the...

In mathematics, the Frobenius inner product is a binary operation that takes two matrices and returns a scalar. It is often denoted ⟨ A , B ⟩ F {\displaystyle...

element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied. For example, 0 is an...

structure that involves a vector space equipped with a certain type of binary operation. Depending on the context, "algebra" can also refer to other algebraic...

idempotent binary operations, and any such operation induces a partial order (and the respective inverse order) such that the result of the operation for any...

In mathematics, particularly abstract algebra, a binary operation • on a set is flexible if it satisfies the flexible identity: a ∙ ( b ∙ a ) = ( a ∙ b...

In mathematics, the associative property is a property of some binary operations that means that rearranging the parentheses in an expression will not...

graph operations are operations which produce new graphs from initial ones. They include both unary (one input) and binary (two input) operations. Unary...

implication in that whereas the latter is a binary operation that returns a value in a Boolean algebra, the former is a binary relation which either holds or does...