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For the second portion of the list, see List of words having different meanings in American and British English: M–Z. Asterisked (*) meanings, though found chiefly in the specified region, also have some currency in the other region; other definitions may be recognised by the other as Briticisms or Americanisms respectively. Additional usage ...
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
For the first portion of the list, see List of words having different meanings in American and British English (A–L). Asterisked (*) meanings, though found chiefly in the specified region, also have some currency in the other dialect; other definitions may be recognised by the other as Briticisms or Americanisms respectively.
Synonym list in cuneiform on a clay tablet, Neo-Assyrian period [1] A synonym is a word, morpheme, or phrase that means precisely or nearly the same as another word, morpheme, or phrase in a given language. [2] For example, in the English language, the words begin, start, commence, and initiate are all synonyms of one another: they are ...
Matiyasevich showed this problem to be unsolvable by mapping a Diophantine equation to a recursively enumerable set and invoking Gödel's Incompleteness Theorem. [5] In 1936, Alan Turing proved that the halting problem—the question of whether or not a Turing machine halts on a given program—is undecidable, in the second sense of the term.
The word problem was one of the first examples of an unsolvable problem to be found not in mathematical logic or the theory of algorithms, but in one of the central branches of classical mathematics, algebra. As a result of its unsolvability, several other problems in combinatorial group theory have been shown to be unsolvable as well.
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Every day (two words) is an adverb phrase meaning "daily" or "every weekday". Everyday (one word) is an adjective meaning "ordinary". [48] exacerbate and exasperate. Exacerbate means "to make worse". Exasperate means "to annoy". Standard: Treatment by untrained personnel can exacerbate injuries.