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  2. Sequence - Wikipedia

    en.wikipedia.org/wiki/Sequence

    Some other types of sequences that are easy to define include: An integer sequence is a sequence whose terms are integers. A polynomial sequence is a sequence whose terms are polynomials. A positive integer sequence is sometimes called multiplicative, if a nm = a n a m for all pairs n, m such that n and m are coprime. [8]

  3. Syntax - Wikipedia

    en.wikipedia.org/wiki/Syntax

    In linguistics, syntax (/ ˈ s ɪ n t æ k s / SIN-taks) [1] [2] is the study of how words and morphemes combine to form larger units such as phrases and sentences.Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituency), [3] agreement, the nature of crosslinguistic variation, and the relationship between form and meaning ().

  4. Syntactic Structures - Wikipedia

    en.wikipedia.org/wiki/Syntactic_Structures

    A linguist should separate the "grammatical sequences" or sentences of a language from the "ungrammatical sequences". [9] By a "grammatical" sentence Chomsky means a sentence that is intuitively "acceptable to a native speaker". [9] It is a sentence pronounced with a "normal sentence intonation".

  5. Gödel numbering - Wikipedia

    en.wikipedia.org/wiki/Gödel_numbering

    Gödel specifically used this scheme at two levels: first, to encode sequences of symbols representing formulas, and second, to encode sequences of formulas representing proofs. This allowed him to show a correspondence between statements about natural numbers and statements about the provability of theorems about natural numbers, the proof's ...

  6. Recursion - Wikipedia

    en.wikipedia.org/wiki/Recursion

    A sentence can have a structure in which what follows the verb is another sentence: Dorothy thinks witches are dangerous, in which the sentence witches are dangerous occurs in the larger one. So a sentence can be defined recursively (very roughly) as something with a structure that includes a noun phrase, a verb, and optionally another sentence.

  7. Subsequence - Wikipedia

    en.wikipedia.org/wiki/Subsequence

    For example, the sequence ,, is a subsequence of ,,,,, obtained after removal of elements ,, and . The relation of one sequence being the subsequence of another is a preorder . Subsequences can contain consecutive elements which were not consecutive in the original sequence.

  8. List of linguistic example sentences - Wikipedia

    en.wikipedia.org/wiki/List_of_linguistic_example...

    A famous example for lexical ambiguity is the following sentence: "Wenn hinter Fliegen Fliegen fliegen, fliegen Fliegen Fliegen hinterher.", meaning "When flies fly behind flies, then flies fly in pursuit of flies." [40] [circular reference] It takes advantage of some German nouns and corresponding verbs being homonymous. While not noticeable ...

  9. Sentence (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Sentence_(linguistics)

    In linguistics and grammar, a sentence is a linguistic expression, such as the English example "The quick brown fox jumps over the lazy dog." In traditional grammar , it is typically defined as a string of words that expresses a complete thought, or as a unit consisting of a subject and predicate .