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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 .
One can also speak of "almost all" integers having a property to mean "all except finitely many", despite the integers not admitting a measure for which this agrees with the previous usage. For example, "almost all prime numbers are odd". There is a more complicated meaning for integers as well, discussed in the main article.
Lexical words are those that have independent meaning (such as a Noun (N), verb (V), adjective (A), adverb (Adv), or preposition (P)). The definition which reports the meaning of a word or a phrase as it is actually used by people is called a lexical definition. Meanings of words given in a dictionary are lexical definitions.
Lexical choice is the subtask of Natural language generation that involves choosing the content words (nouns, non-auxiliary verbs, adjectives, and adverbs) in a generated text. Function words (determiners, for example) are usually chosen during realisation .
A half-translation surface is defined similarly to a translation surface but allowing the gluing maps to have a nontrivial linear part which is a half turn. Formally, a translation surface is defined geometrically by taking a collection of polygons in the Euclidean plane and identifying faces by maps of the form z ↦ ± z + w {\displaystyle z ...
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 .
A straightforward method of introducing new terms in a language is to create a neologism, i.e. a completely new lexical item in the lexicon.For example, in the philosopher Heidegger's native German, he introduced neologisms to describe various concepts in his ontology (Dasein and Mitsein, for instance; both derived from common German words da and sein, etc.).
In mathematics, a translation plane is a projective plane which admits a certain group of symmetries (described below). Along with the Hughes planes and the Figueroa planes, translation planes are among the most well-studied of the known non-Desarguesian planes, and the vast majority of known non-Desarguesian planes are either translation planes, or can be obtained from a translation plane via ...