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Both shall and will may be contracted to -'ll, most commonly in affirmative statements where they follow a subject pronoun. Their negations, shall not and will not, also have contracted forms: shan't and won't (although shan't is rarely used in North America, and is becoming rarer elsewhere too). See English auxiliaries and contractions.
The English modal auxiliary verbs are a subset of the English auxiliary verbs used mostly to express modality, properties such as possibility and obligation. [a] They can most easily be distinguished from other verbs by their defectiveness (they do not have participles or plain forms [b]) and by their lack of the ending ‑(e)s for the third-person singular.
As for shall vs should, my (northwestern US) ears prefer shall but the difference is very slight. Shall focuses on your magnimony, and you may already be half-standing when you say it. Should focuses on your social obligation, and you may have no intention of opening the window unless the other person says "yes".
The will/shall future consists of the modal verb will or shall together with the bare infinitive of the main verb, as in "He will win" or "I shall win". ( Prescriptive grammarians prefer will in the second and third persons and shall in the first person, reversing the forms to express obligation or determination, but in practice shall and will ...
These correspond to the discourse functions statement, question, exclamation, and command respectively. The different forms involve different combinations in word order, the addition of certain auxiliaries or particles, or other times by providing a special form.
An auxiliary verb (abbreviated aux) is a verb that adds functional or grammatical meaning to the clause in which it occurs, so as to express tense, aspect, modality, voice, emphasis, etc. Auxiliary verbs usually accompany an infinitive verb or a participle, which respectively provide the main semantic content of the clause. [1]
In transformational grammar, each sentence in a language has two levels of representation: a deep structure and a surface structure. [3] The deep structure represents a sentence's core semantic relations and is mapped onto the surface structure, which follows the sentence's phonological system very closely, via transformations.
The concept of parent function is less clear or inapplicable polynomials of higher degree because of the extra turning points, but for the family of n-degree polynomial functions for any given n, the parent function is sometimes taken as x n, or, to simplify further, x 2 when n is even and x 3 for odd n. Turning points may be established by ...