a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation...
9 KB (1,546 words) - 16:41, 17 May 2025
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...
7 KB (1,043 words) - 11:54, 7 March 2025
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...
31 KB (3,832 words) - 04:27, 10 April 2025
types of operations: unary and binary. Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the...
11 KB (1,212 words) - 17:51, 17 December 2024
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...
9 KB (588 words) - 15:03, 14 February 2025
Closure (mathematics) (redirect from Closure (binary operation))
{\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...
13 KB (1,837 words) - 06:17, 16 May 2025
Quasigroup (redirect from Divisibility (binary operation))
quasigroup as a set with one binary operation. The other, from universal algebra, defines a quasigroup as having three primitive operations. The homomorphic image...
32 KB (3,671 words) - 18:36, 5 May 2025
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...
19 KB (2,223 words) - 21:00, 23 September 2024
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...
60 KB (7,236 words) - 08:24, 31 March 2025
Flexible algebra (redirect from Flexible binary operation)
In mathematics, particularly abstract algebra, a binary operation • on a set is flexible if it satisfies the flexible identity: a ∙ ( b ∙ a ) = ( a ∙ b...
3 KB (293 words) - 16:37, 21 February 2025
formulae, the form is =if(C, x, y). Unary operation Unary function Binary operation Iterated binary operation Binary function Median algebra or Majority function...
6 KB (708 words) - 23:40, 3 February 2025
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...
7 KB (1,065 words) - 00:00, 26 January 2025
consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively...
37 KB (4,714 words) - 00:02, 25 February 2025
In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the nonnegative integers with...
35 KB (4,462 words) - 23:51, 18 April 2025
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)...
7 KB (865 words) - 21:33, 20 December 2024
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...
31 KB (3,088 words) - 15:35, 11 May 2025
Commutative property (redirect from Commutative operation)
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...
15 KB (1,504 words) - 00:24, 10 May 2025
Algebraic structure (section One set with operations)
underlying set, carrier set or domain), a collection of operations on A (typically binary operations such as addition and multiplication), and a finite set...
21 KB (2,706 words) - 16:06, 25 January 2025
Light's associativity test (category Binary operations)
test is a procedure invented by F. W. Light for testing whether a binary operation defined in a finite set by a Cayley multiplication table is associative...
19 KB (1,321 words) - 07:13, 10 May 2024
Identity element (category Binary operations)
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...
10 KB (742 words) - 17:06, 14 April 2025
Vector multiplication (category Operations on vectors)
several operations between two (or more) vectors. It may concern any of the following articles: Dot product – also known as the "scalar product", a binary operation...
4 KB (635 words) - 22:32, 14 September 2024
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...
6 KB (1,230 words) - 16:23, 8 March 2025
graph operations are operations which produce new graphs from initial ones. They include both unary (one input) and binary (two input) operations. Unary...
5 KB (512 words) - 23:48, 9 March 2025
Offset binary, also referred to as excess-K, excess-N, excess-e, excess code or biased representation, is a method for signed number representation where...
23 KB (1,636 words) - 09:20, 2 October 2022
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...
25 KB (3,043 words) - 08:54, 11 February 2025
Group (mathematics) (redirect from Group operation)
In mathematics, a group is a set with a binary operation that satisfies the following constraints: the operation is associative, it has an identity element...
102 KB (13,144 words) - 11:29, 7 May 2025
order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures. A binary operation ∗ is usually...
5 KB (358 words) - 02:32, 21 November 2024
Associative property (redirect from Associative operation)
In mathematics, the associative property is a property of some binary operations that rearranging the parentheses in an expression will not change the...
25 KB (3,387 words) - 04:09, 6 May 2025
Magma (algebra) (category Binary operations)
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...
18 KB (1,828 words) - 11:16, 17 April 2025
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...
16 KB (1,868 words) - 16:16, 31 March 2025