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2. Domain of a function - Wikipedia

   en.wikipedia.org/wiki/Domain_of_a_function

   The set of points in the red oval X is the domain of f. Graph of the real-valued square root function, f(x) = √ x, whose domain consists of all nonnegative real numbers. In mathematics, the domain of a function is the set of inputs accepted by the function.

3. Domain (mathematical analysis) - Wikipedia

   en.wikipedia.org/wiki/Domain_(mathematical_analysis)

   In complex analysis, a complex domain (or simply domain) is any connected open subset of the complex plane C. For example, the entire complex plane is a domain, as is the open unit disk, the open upper half-plane, and so forth. Often, a complex domain serves as the domain of definition for a holomorphic function.

4. Grammatical tense - Wikipedia

   en.wikipedia.org/wiki/Grammatical_tense

   In grammar, tense is a category that expresses time reference. [1] [2] Tenses are usually manifested by the use of specific forms of verbs, particularly in their conjugation patterns. The main tenses found in many languages include the past, present, and future.

5. Codomain - Wikipedia

   en.wikipedia.org/wiki/Codomain

   A codomain is part of a function f if f is defined as a triple (X, Y, G) where X is called the domain of f, Y its codomain, and G its graph. [1] The set of all elements of the form f(x), where x ranges over the elements of the domain X, is called the image of f. The image of a function is a subset of its codomain so it might not coincide with it.

6. Range of a function - Wikipedia

   en.wikipedia.org/wiki/Range_of_a_function

   is a function from domain X to codomain Y. The yellow oval inside Y is the image of . 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.

7. Exercise (mathematics) - Wikipedia

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

   An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [ 1 ] The student of arithmetic who has mastered the first four rules of his art and successfully striven with sums and fractions finds himself confronted by an unbroken expanse of questions known as problems.

8. Function (mathematics) - Wikipedia

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

   The domain of definition of such a function is the set of inputs for which the algorithm does not run forever. A fundamental theorem of computability theory is that there cannot exist an algorithm that takes an arbitrary general recursive function as input and tests whether 0 belongs to its domain of definition (see Halting problem).

9. 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.