• Thumbnail for Binary operation
    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 (1,568 words) - 08:27, 5 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
  • Thumbnail for Operation (mathematics)
    types of operations: unary and binary. Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the...
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  • 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...
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  • 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
  • {\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...
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  • 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...
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  • Thumbnail for Quasigroup
    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
  • formulae, the form is =if(C, x, y). Unary operation Unary function Binary operation Iterated binary operation Binary function Median algebra or Majority function...
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  • Thumbnail for Binary search tree
    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...
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  • Thumbnail for Binary heap
    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 ...
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  • Thumbnail for Commutative property
    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
  • 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...
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  • 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...
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  • 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...
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  • Thumbnail for Group (mathematics)
    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...
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  • graph operations are operations which produce new graphs from initial ones. They include both unary (one input) and binary (two input) operations. Unary...
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  • 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...
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  • underlying set, carrier set or domain), a collection of operations on A (typically binary operations such as addition and multiplication), and a finite set...
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  • Thumbnail for Semigroup
    consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively...
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  • 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...
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  • each digit Binary function, a function that takes two arguments Binary operation, a mathematical operation that takes two arguments Binary relation, a...
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  • 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
  • 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
  • Thumbnail for Monoid
    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
  • 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
  • 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...
    18 KB (2,397 words) - 10:40, 30 April 2025
  • Thumbnail for Associative property
    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
  • consists of two terminal nodes (1 and recall), one unary operation (store), and one binary operation (plus) that be used in a parse tree to do a calculation...
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