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  2. Binary operation - Wikipedia

    en.wikipedia.org/wiki/Binary_operation

    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, For instance, On the set of real numbers R {\displaystyle \mathbb {R} } , f ( a , b ) = a + b {\displaystyle f(a,b)=a+b} is a binary operation since the sum of two real numbers ...

  3. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    If each subtraction is replaced with addition of the opposite (additive inverse), then the associative and commutative laws of addition allow terms to be added in any order. The radical symbol ⁠ t {\displaystyle {\sqrt {\vphantom {t}}}} ⁠ is traditionally extended by a bar (called vinculum ) over the radicand (this avoids the need for ...

  4. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...

  5. Ring (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Ring_(mathematics)

    Informally, a ring is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers. Ring elements may be numbers such as integers or complex numbers , but they may also be non-numerical objects such as polynomials , square matrices , functions , and power series .

  6. Operation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Operation_(mathematics)

    There are two common types of operations: unary and binary. Unary operations involve only one value, such as negation and trigonometric functions. [3] Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation. [4] Operations can involve mathematical objects other than ...

  7. Associative property - Wikipedia

    en.wikipedia.org/wiki/Associative_property

    In mathematics, addition and multiplication of real numbers are associative. By contrast, in computer science, addition and multiplication of floating point numbers are not associative, as different rounding errors may be introduced when dissimilar-sized values are joined in a different order. [7]

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