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  2. Operation (mathematics) - Wikipedia

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

    An n-ary operation can also be viewed as an (n + 1)-ary relation that is total on its n input domains and unique on its output domain. An n-ary partial operation ω from X n to X is a partial function ω: X n → X. An n-ary partial operation can also be viewed as an (n + 1)-ary relation that is unique on its output domain.

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and ...

  4. Operator (mathematics) - Wikipedia

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

    In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space). There is no general definition of an operator , but the term is often used in place of function when the domain is a set of functions or other structured ...

  5. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .

  6. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.

  7. Category (mathematics) - Wikipedia

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

    There are many equivalent definitions of a category. [1] One commonly used definition is as follows. A category C consists of a class ob(C) of objects, a class mor(C) of morphisms or arrows, a domain or source class function dom: mor(C) → ob(C), a codomain or target class function cod: mor(C) → ob(C),

  8. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school ... 8) Vectors 8.1 Vectors; 8.2 Addition and Subtraction of Vectors;

  9. Relation (mathematics) - Wikipedia

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

    For example, the green and blue relations in the diagram are injective, but the red one is not (as it relates both −1 and 1 to 1), nor is the black one (as it relates both −1 and 1 to 0). Functional [ 15 ] [ 16 ] [ 17 ] [ d ] (also called right-unique , [ 14 ] right-definite [ 18 ] or univalent [ 9 ] )