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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. 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.

5. Mean of a function - Wikipedia

   en.wikipedia.org/wiki/Mean_of_a_function

   In calculus, and especially multivariable calculus, the mean of a function is loosely defined as the average value of the function over its domain.In one variable, the mean of a function f(x) over the interval (a,b) is defined by: [1]

6. Arithmetic mean - Wikipedia

   en.wikipedia.org/wiki/Arithmetic_mean

   In mathematics and statistics, the arithmetic mean (/ ˌ æ r ɪ θ ˈ m ɛ t ɪ k / arr-ith-MET-ik), arithmetic average, or just the mean or average (when the context is clear) is the sum of a collection of numbers divided by the count of numbers in the collection. [1] The collection is often a set of results from an experiment, an ...

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. Animal Stories, Videos, Photos and Heroics - AOL.com

   www.aol.com/animals

   Get a daily dose of cute photos of animals like cats, dogs, and more along with animal related news stories for your daily life from AOL.

9. Mathematics - Wikipedia

   en.wikipedia.org/wiki/Mathematics

   Mathematics has developed a rich terminology covering a broad range of fields that study the properties of various abstract, idealized objects and how they interact. It is based on rigorous definitions that provide a standard foundation for communication. An axiom or postulate is a mathematical statement that is taken to be true without need of ...