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 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...

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...

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...

types of operations: unary and binary. Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the...

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...

{\displaystyle R} and is closed under this unary operation. Transitivity As we can define a partial binary operation on A × A {\displaystyle A\times A} that maps...

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...

quasigroup as a set with one binary operation. The other, from universal algebra, defines a quasigroup as having three primitive operations. The homomorphic image...

formulae, the form is =if(C, x, y). Unary operation Unary function Binary operation Iterated binary operation Binary function Median algebra or Majority function...

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...

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...

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

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

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...

structure. Specifically, a magma consists of a set equipped with a single binary operation that must be closed by definition. No other properties are imposed...

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

each digit Binary function, a function that takes two arguments Binary operation, a mathematical operation that takes two arguments Binary relation, a...

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...

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...

set and a binary operation on this set that satisfies the group axioms. The set is called the underlying set of the group, and the operation is called...

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

magma or medial groupoid is a magma or groupoid (that is, a set with a binary operation) that satisfies the identity (x • y) • (u • v) = (x • u) • (y • v)...

In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the nonnegative integers with...

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...

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...

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...

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...

In abstract algebra, alternativity is a property of a binary operation. A magma G is said to be left alternative if ( x x ) y = x ( x y ) {\displaystyle...

In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality x ⋅ ( y +...