Mathematical%20Structures - PowerPoint PPT Presentation

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Mathematical%20Structures

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Mathematical Structures A collection of objects with operations defined on them and the accompanying properties form a mathematical structure or system. – PowerPoint PPT presentation

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Title: Mathematical%20Structures


1
Mathematical Structures
  • A collection of objects with operations defined
    on them and the accompanying properties form a
    mathematical structure or system.
  • In this book, we deal only with discrete
    mathematical structures.
  • A structure is closed with respect to an
    operation if that operation always produces
    another member of the collection of objects.
  • An operation that combines two objects is a
    binary operation an operation that requires only
    one object is a unary operation.
  • If the order of the objects does not affect the
    outcome of a binary operation, the operation is
    commutative, i.e.
  • if x
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