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  2. Restriction (mathematics) - Wikipedia

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

    More generally, the restriction (or domain restriction or left-restriction) of a binary relation between and may be defined as a relation having domain , codomain and graph ( ) = {(,) ():}. Similarly, one can define a right-restriction or range restriction R B . {\displaystyle R\triangleright B.}

  3. AP English Language and Composition - Wikipedia

    en.wikipedia.org/wiki/AP_English_Language_and...

    The AP English Language and Composition exam is typically administered on a Tuesday morning in the second week of May. The exam consists of two sections: a one-hour multiple-choice section, and a two-hour fifteen-minute free-response section. [2] The exam is further divided as follows:

  4. AP International English Language - Wikipedia

    en.wikipedia.org/wiki/AP_International_English...

    Advanced Placement (AP) International English Language (also known as APIEL) is an AP Examinations course managed by Educational Testing Service (ETS) with the sponsorship of the College Board in New York. [1] It is designed for non-native speakers to prepare for studying in an English-speaking university, particularly in North America.

  5. Advanced Placement exams - Wikipedia

    en.wikipedia.org/wiki/Advanced_Placement_exams

    Advanced Placement (AP) examinations are exams offered in United States by the College Board and are taken each May by students. The tests are the culmination of year-long Advanced Placement (AP) courses, which are typically offered at the high school level. AP exams (with few exceptions [1]) have a multiple-choice section and a free-response ...

  6. Locality (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Locality_(linguistics)

    This data suggests that [AP proud] has a subject, [DP John], and that the anaphor that it has as a complement, [DP herself]/[DP her], has a domain local domain that extends to the node which dominates [DP Mary], as it c-commands and binds the anaphor. [2] As such, the underlying structure that is suggested is the following: 5.1 a) 5.1 b)

  7. Limit of a function - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_function

    This definition allows a limit to be defined at limit points of the domain S, if a suitable subset T which has the same limit point is chosen. Notably, the previous two-sided definition works on int ⁡ S ∪ iso ⁡ S c , {\displaystyle \operatorname {int} S\cup \operatorname {iso} S^{c},} which is a subset of the limit points of S .

  8. Domain (mathematical analysis) - Wikipedia

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

    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. In the study of several complex variables, the definition of a domain is extended to include any connected open subset of C n.

  9. Continuous function - Wikipedia

    en.wikipedia.org/wiki/Continuous_function

    Explicitly including the definition of the limit of a function, we obtain a self-contained definition: Given a function : as above and an element of the domain , is said to be continuous at the point when the following holds: For any positive real number >, however small, there exists some positive real number > such that for all in the domain ...