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The verbs will and shall, when used as future markers, are largely interchangeable with regard to literal meaning. Generally, however, will is far more common than shall. Use of shall is normally a marked usage, typically indicating formality or seriousness and (if not used with a first person subject) expressing a colored meaning as
dynamic modality, [2] which may be distinguished from deontic modality in that, with dynamic modality, the conditioning factors are internal – the subject's own ability or willingness to act [3] The following sentences illustrate epistemic and deontic uses of the English modal verb must: epistemic: You must be starving.
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.
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 ...
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]
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".
graph with an example of steps in a failure mode and effects analysis. Failure mode and effects analysis (FMEA; often written with "failure modes" in plural) is the process of reviewing as many components, assemblies, and subsystems as possible to identify potential failure modes in a system and their causes and effects.
Dirac delta function: everywhere zero except for x = 0; total integral is 1. Not a function but a distribution, but sometimes informally referred to as a function, particularly by physicists and engineers. Dirichlet function: is an indicator function that matches 1 to rational numbers and 0 to irrationals. It is nowhere continuous.