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In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system .
In lexicography [citation needed], a lexical item is a single word, a part of a word, or a chain of words that forms the basic elements of a language's lexicon (≈ vocabulary). [ citation needed ] Examples are cat , traffic light , take care of , by the way , and it's raining cats and dogs .
The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes. There are two canonical proofs that are always used to show non-mathematicians what a mathematical proof is like:
Literal translation, direct translation, or word-for-word translation is the translation of a text done by translating each word separately without analysing how the words are used together in a phrase or sentence. [1] In translation theory, another term for literal translation is metaphrase (as opposed to paraphrase for an analogous translation).
In linguistics, a calque (/ k æ l k /) or loan translation is a word or phrase borrowed from another language by literal word-for-word or root-for-root translation.When used as a verb, “to calque” means to borrow a word or phrase from another language while translating its components, so as to create a new word or phrase in the target language.
Lexicalization may be simple, for example borrowing a word from another language, or more involved, as in calque or loan translation, wherein a foreign phrase is translated literally, as in marché aux puces, or in English, flea market. Other mechanisms include compounding, abbreviation, and blending. [2]
Helicoid as translation surface with identical generatrices , Helicoid as translation surface: any parametric curve is a shifted copy of the purple helix. A helicoid is a special case of a generalized helicoid and a ruled surface. It is an example of a minimal surface and can be represented as a translation surface.
Lexical meaning is not limited to a single form of a word, but rather what the word denotes as a base word. For example, the verb to walk can become walks , walked , and walking – each word has a different grammatical meaning, but the same lexical meaning ("to move one's feet at a regular pace").