binary operation wikipedia - EAS

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    https://en.wikipedia.org/wiki/Binary_operation

    In mathematics, a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation is an operation of arity two. More specifically, a binary operation on a set is an operation whose two domains and the

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    More precisely, a binary operation on a set S is a mapping of the elements of the Cartesian product S × S to S:
    Because the result of performing the operation on a pair of elements of S is again an element of S, the

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    Typical examples of binary operations are the addition (+) and multiplication (×) of numbers and matrices as well as composition of functions on a single set. For instance,

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    A binary operation, ab, depends on the ordered pair (a, b) and so (ab)c (where the parentheses here mean first operate on the ordered pair (a, b) and

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    An external binary operation is a binary function from K × S to S. This differs from a binary operation on a set in the sense in that K need not be S; its elements come from outside.

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    Binary operations are often written using infix notation such as a ∗ b, a + b, a · b or (by juxtaposition with no symbol) ab rather than by functional

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    A binary operation f on a set S may be viewed as a ternary relation on S, that is, the set of triples (a, b, f(a,b)) in S × S × S for all a and b in S.

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  2. Category:Binary operations - Wikipedia

    https://en.wikipedia.org/wiki/Category:Binary_operations

    Category:Binary operations. Wikimedia Commons has media related to Binary operations. This category is for internal and external binary operations, functions, operators, actions, and constructions, as well as topics concerning such operations. Associative binary operations may also be extended to higher arities .

  3. Binary operation - Simple English Wikipedia, the free ...

    https://simple.wikipedia.org/wiki/Binary_operation

    In mathematics, a binary operation, often denoted *, on a set is a way of combining a pair of elements in that set that results in another element of the set. For example, if we take a pair of natural numbers and let the operation * be addition, then their sum is also a natural number, and is the result of applying this particular binary operation. . Another example of an operation on …

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    • https://en.wikipedia.org/wiki/Iterated_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 repeated application. Common examples include the extension of the addition operation to the summation operation, and the extension of the multiplication operation to the product operation. Other operations, e.g., the set theoretic operations union and intersection, are also often iterated, but the iterations are not given separate …

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    • https://en.wikipedia.org/wiki/Binary_relation
      • In mathematics, a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain. A binary relation over sets X and Y is a new set of ordered pairs consisting of elements x in X and y in Y. It is a generalization of the more widely understood idea of a mathematical function, but with fewer restrictions. It encodes the commo…
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      • https://en.wikipedia.org/wiki/Binary

        Binary number, a representation of numbers using only two digits (0 and 1) Binary function, a function that takes two arguments. Binary operation, a mathematical operation that takes two arguments. Binary relation, a relation involving two elements. Binary-coded decimal, a method for encoding for decimal digits in binary sequences.

      • https://en.wikipedia.org/wiki/Binary_option

        A binary option is a financial exotic option in which the payoff is either some fixed monetary amount or nothing at all. The two main types of binary options are the cash-or-nothing binary option and the asset-or-nothing binary option. The former pays some fixed amount of cash if the option expires in-the-money while the latter pays the value of the underlying security. They are …

      • Binary operation - Wikipedia

        https://oppstage.onelink-translations.com/wiki/Binary_operation

        Oct 05, 2021 · In mathematics, a binary operation or dyadic operation is a calculation that combines two elements (called operands) to produce another element.More formally, a binary operation is an operation of arity two.. More specifically, a binary operation on a set is an operation whose two domains and the codomain are the same set. Examples include the …

      • https://en.wikipedia.org/wiki/Algebraic_structure

        The binary operation can be called either meet or join. Quasigroup: a magma obeying the Latin square property. A quasigroup may also be represented using three binary operations. Loop: a quasigroup with identity. Ring-like structures or Ringoids: two binary operations, often called addition and multiplication, with multiplication distributing ...

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