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  2. Proper map - Wikipedia

    en.wikipedia.org/wiki/Proper_map

    Some authors call a function : between two topological spaces proper if the preimage of every compact set in is compact in . Other authors call a map f {\displaystyle f} proper if it is continuous and closed with compact fibers ; that is if it is a continuous closed map and the preimage of every point in Y {\displaystyle Y} is compact .

  3. Function (mathematics) - Wikipedia

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

    The function f is surjective (or onto, or is a surjection) if its range () equals its codomain , that is, if, for each element of the codomain, there exists some element of the domain such that () = (in other words, the preimage () of every is nonempty).

  4. Glossary of calculus - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_calculus

    If the function is called f, this relation is denoted y = f (x) (read f of x), the element x is the argument or input of the function, and y is the value of the function, the output, or the image of x by f. [43] The symbol that is used for representing the input is the variable of the function (one often says that f is a function of the ...

  5. Function (computer programming) - Wikipedia

    en.wikipedia.org/wiki/Function_(computer...

    A built-in function, or builtin function, or intrinsic function, is a function for which the compiler generates code at compile time or provides in a way other than for other functions. [23] A built-in function does not need to be defined like other functions since it is built in to the programming language. [24]

  6. Functional programming - Wikipedia

    en.wikipedia.org/wiki/Functional_programming

    The distinction between the two is subtle: "higher-order" describes a mathematical concept of functions that operate on other functions, while "first-class" is a computer science term for programming language entities that have no restriction on their use (thus first-class functions can appear anywhere in the program that other first-class ...

  7. Glossary of language education terms - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_language...

    do not need English in daily life 4. have both primary and secondary support-networks that function in their native language 5. have fewer opportunities to practice using their English They are learning, and their instructors are teaching, English as a foreign language. In English-speaking countries, they have integrative motivation, the desire ...

  8. Thesaurus - Wikipedia

    en.wikipedia.org/wiki/Thesaurus

    A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms, sometimes simply as lists of synonyms and antonyms.

  9. List of commonly misused English words - Wikipedia

    en.wikipedia.org/wiki/List_of_commonly_misused...

    Standard: You need to hold it taut to stretch it properly. Standard: This concert needs a lot of tout to be successful. temblor and trembler. A temblor is an earthquake. A trembler is something that trembles (also, a fine-tuned motion detector). tenant and tenet. A tenant is a person or body that rents property.