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In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined , ill defined or ambiguous . [ 1 ]
Kuiper uses the fact that this idiom is a phrase that is a part of the English lexicon (technically, a "phrasal lexical item"), and that there are different ways that the expression can be presented—for instance, as the common "hail-fellow-well-met," which appears as a modifier before the noun it modifies, [6] [7] versus the more original ...
For example, the nonce word wug coined by Jean Berko Gleason is phonologically well-formed, so informants are able to pluralize it regularly. [1] A word, phrase, clause, or utterance may be grammatically well-formed, meaning it obeys the rules of morphology and syntax. A semantically well-formed utterance or sentence is one that is meaningful ...
All is fair in love and war; All is for the best in the best of all possible worlds; All is well that ends well; An apple a day keeps the doctor away; An army marches on its stomach; An eye for an eye, a tooth for a tooth; An eye for an eye makes the whole world blind (Mahatma Gandhi (1869–1948), leader of the Indian independence movement)
The definition of a formula comes in several parts. First, the set of terms is defined recursively. Terms, informally, are expressions that represent objects from the domain of discourse. Any variable is a term. Any constant symbol from the signature is a term
Fairy tales are stories that range from those in folklore to more modern stories defined as literary fairy tales. Despite subtle differences in the categorizing of fairy tales, folklore, fables, myths, and legends, a modern definition of the literary fairy tale, as provided by Jens Tismar's monograph in German, [1] is a story that differs "from an oral folk tale" in that it is written by "a ...
Dummit and Foote give this example: A = A1 union A2 define f: A --> {1,2} as f(a)=1if a in A1 and f(a)=2 if a in A2. What I like about Dummit/Foote's example is (a) that it is more elementary than most other examples, and (b) that it gives an example where f is well-defined, and an example where f is ambiguous.