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Some frequentative verbs surviving in English, and their parent verbs are listed below. Additionally, some frequentative verbs are formed by reduplication of a monosyllable (e.g., coo-cooing, cf. Latin murmur). Frequentative nouns are often formed by combining two different vowel grades of the same word (as in teeter-totter, pitter-patter ...
The phrase "formal definition" may help to flag the actual definition of a concept for readers unfamiliar with academic terminology, in which "definition" means formal definition, and a "proof" is always a formal proof. When the topic is a theorem, the article should provide a precise statement of the theorem.
def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.
A statement is true up to a condition if the establishment of that condition is the only impediment to the truth of the statement. Also used when working with members of equivalence classes , especially in category theory , where the equivalence relation is (categorical) isomorphism; for example, "The tensor product in a weak monoidal category ...
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In linguistics, the aspect of a verb is a grammatical category that defines the temporal flow (or lack thereof) in a given action, event, or state. [1] [2] As its name suggests, the habitual aspect (abbreviated HAB), not to be confused with iterative aspect or frequentative aspect, specifies an action as occurring habitually: the subject performs the action usually, ordinarily, or customarily.
There is no general consensus about the definition of mathematics or its epistemological status—that is, its place inside knowledge. A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science.
The definition of a formal proof is intended to capture the concept of proofs as written in the practice of mathematics. The soundness of this definition amounts to the belief that a published proof can, in principle, be converted into a formal proof. However, outside the field of automated proof assistants, this is rarely done in practice.