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  2. Equivalence (translation) - Wikipedia

    en.wikipedia.org/wiki/Equivalence_(translation)

    Formal equivalence is often more goal than reality, if only because one language may contain a word for a concept which has no direct equivalent in another language. In such cases, a more dynamic translation may be used or a neologism may be created in the target language to represent the concept (sometimes by borrowing a word from the source ...

  3. Sense-for-sense translation - Wikipedia

    en.wikipedia.org/wiki/Sense-for-sense_translation

    Sense-for-sense translation is the oldest norm for translating. It fundamentally means translating the meaning of each whole sentence before moving on to the next, and stands in normative opposition to word-for-word translation (also known as literal translation ).

  4. Equisatisfiability - Wikipedia

    en.wikipedia.org/wiki/Equisatisfiability

    Equisatisfiability is generally used in the context of translating formulae, so that one can define a translation to be correct if the original and resulting formulae are equisatisfiable. Examples of translations that preserve equisatisfiability are Skolemization and some translations into conjunctive normal form such as the Tseytin transformation.

  5. Necessity and sufficiency - Wikipedia

    en.wikipedia.org/wiki/Necessity_and_sufficiency

    In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If P then Q", Q is necessary for P, because the truth of Q is guaranteed by the truth of P.

  6. Equivalence of categories - Wikipedia

    en.wikipedia.org/wiki/Equivalence_of_categories

    Hence, given the information that the identity functors form an equivalence of categories, in this example one still can choose between two natural isomorphisms for each direction. The category of sets and partial functions is equivalent to but not isomorphic with the category of pointed sets and point-preserving maps. [2]

  7. Skopos theory - Wikipedia

    en.wikipedia.org/wiki/Skopos_theory

    The theory first appeared in an article published by linguist Hans Josef Vermeer in the German Journal Lebende Sprachen, 1978. [2]As a realisation of James Holmes’ map of Translation Studies (1972), [3] [4] skopos theory is the core of the four approaches of German functionalist translation theory [5] that emerged around the late twentieth century.

  8. Equivalent definitions of mathematical structures - Wikipedia

    en.wikipedia.org/wiki/Equivalent_definitions_of...

    In the former case, equivalence of two definitions means that a mathematical object (for example, geometric body) satisfies one definition if and only if it satisfies the other definition. In the latter case, the meaning of equivalence (between two definitions of a structure) is more complicated, since a structure is more abstract than an object.

  9. Equivalence class - Wikipedia

    en.wikipedia.org/wiki/Equivalence_class

    In mathematics, when the elements of some set have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set into equivalence classes. These equivalence classes are constructed so that elements a {\displaystyle a} and b {\displaystyle b} belong to the same equivalence class if, and only if , they are ...