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The perfect tense or aspect (abbreviated PERF or PRF) is a verb form that indicates that an action or circumstance occurred earlier than the time under consideration, ...
By definition, a perfect number is a fixed point of the restricted divisor function s(n) = σ(n) − n, and the aliquot sequence associated with a perfect number is a constant sequence. All perfect numbers are also S {\displaystyle {\mathcal {S}}} -perfect numbers, or Granville numbers .
A thing's perfection depended on what sort of perfection it was eligible for. In general, that was perfect which had attained the fullness of the qualities possible for it. Hence "whole" and "perfect" meant more or less the same ("totum et perfectum sunt quasi idem"). [39] Spinoza. This was a teleological concept, for it implied an end (goal or ...
The present perfect is a grammatical combination of the present tense and perfect aspect that is used to express a past event that has consequence in present. [1] The term is used particularly in the context of English grammar to refer to forms like "I have finished".
The word "perfect" in this sense means "completed"; it contrasts with the "imperfect", which denotes uncompleted actions or states. In English grammar, the pluperfect (e.g. "had written") is now usually called the past perfect, since it combines past tense with perfect aspect. (The same term is sometimes used in relation to the grammar of other ...
Perfect commonly refers to: Perfection; completeness, and excellence; Perfect (grammar), a grammatical category in some languages; Perfect may also refer to:
In general topology, a subset of a topological space is perfect if it is closed and has no isolated points. Equivalently: the set S {\displaystyle S} is perfect if S = S ′ {\displaystyle S=S'} , where S ′ {\displaystyle S'} denotes the set of all limit points of S {\displaystyle S} , also known as the derived set of S {\displaystyle S} .
In multivariate calculus, a differential or differential form is said to be exact or perfect (exact differential), as contrasted with an inexact differential, if it is equal to the general differential for some differentiable function in an orthogonal coordinate system (hence is a multivariable function whose variables are independent, as they are always expected to be when treated in ...