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  2. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or; the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto.

  3. Range (statistics) - Wikipedia

    en.wikipedia.org/wiki/Range_(statistics)

    In descriptive statistics, the range of a set of data is size of the narrowest interval which contains all the data. It is calculated as the difference between the largest and smallest values (also known as the sample maximum and minimum ). [ 1 ]

  4. Range - Wikipedia

    en.wikipedia.org/wiki/Range

    Range (statistics), the difference between the highest and the lowest values in a set; Interval (mathematics), also called range, a set of real numbers that includes all numbers between any two numbers in the set; Column space, also called the range of a matrix, is the set of all possible linear combinations of the column vectors of the matrix

  5. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    In mathematics, the domain of a ... The set of specific outputs the function assigns to elements of X is called its range or image. The image of f is a subset of Y, ...

  6. Essential range - Wikipedia

    en.wikipedia.org/wiki/Essential_range

    The essential range satisfies : (). ⁡ = =. This fact characterises the essential image: It is the smallest closed subset of C {\displaystyle \mathbb {C} } with this property. The essential supremum of a real valued function equals the supremum of its essential image and the essential infimum equals the infimum of its essential range.

  7. Closed range theorem - Wikipedia

    en.wikipedia.org/wiki/Closed_range_theorem

    In the mathematical theory of Banach spaces, the closed range theorem gives necessary and sufficient conditions for a closed densely defined operator to have closed range. The theorem was proved by Stefan Banach in his 1932 Théorie des opérations linéaires .

  8. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    ran – range of a function. rank – rank of a matrix. (Also written as rk.) Re – real part of a complex number. [2] (Also written.) resp – respectively. RHS – right-hand side of an equation. rk – rank. (Also written as rank.) RMS, rms – root mean square. rng – non-unital ring. rot – rotor of a vector field.

  9. Numerical range - Wikipedia

    en.wikipedia.org/wiki/Numerical_range

    In the mathematical field of linear algebra and convex analysis, the numerical range or field of values of a complex matrix A is the set = {, } = { , , ‖ ‖ =}where denotes the conjugate transpose of the vector.