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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] It is expressed in the same units as the data. The range provides an indication of statistical ...

  4. Image (mathematics) - Wikipedia

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

    In mathematics, for a function :, the image of an input value is the single output value produced by when passed . The preimage of an output value y {\displaystyle y} is the set of input values that produce y {\displaystyle y} .

  5. Range - Wikipedia

    en.wikipedia.org/wiki/Range

    Range (computer programming), the set of allowed values for a variable; Range, any kitchen stove with multiple burners, especially in the United States; All-electric range, the driving range of a vehicle using only power from its electric battery pack; Range of a projectile, the potential distance a projectile can be hurled by a firearm or cannon

  6. Essential range - Wikipedia

    en.wikipedia.org/wiki/Essential_range

    Say (,) is equipped with its usual topology. Then the essential range of f is given by . ⁡ = { >: < {: | | <}}. [7]: Definition 4.36 [8] [9]: cf. Exercise 6.11 In other words: The essential range of a complex-valued function is the set of all complex numbers z such that the inverse image of each ε-neighbourhood of z under f has positive measure.

  7. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by ⁡ or ⁡, where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be". [1]

  8. Interval arithmetic - Wikipedia

    en.wikipedia.org/wiki/Interval_arithmetic

    The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

  9. Mid-range - Wikipedia

    en.wikipedia.org/wiki/Mid-range

    In statistics, the mid-range or mid-extreme is a measure of central tendency of a sample defined as the arithmetic mean of the maximum and minimum values of the data set: [1] M = max x + min x 2 . {\displaystyle M={\frac {\max x+\min x}{2}}.}