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The phrase "an element of definition" is correct and usable in written English.
It can be used when discussing a specific component or aspect that contributes to the overall meaning or understanding of a term or concept.
Example: "In the context of this theory, an element of definition is crucial for establishing clear parameters."
Alternatives: "a defining characteristic" or "a component of the definition".
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The upper Dini directional derivative of f at x ∈ Γ in the direction d ∈ R n is defined by f + ' ( x ; d ) = lim sup t → 0 + f ( x + t d ) − f ( x ) t, which is an element of R ∪. Definition 2.6.
By definition, an element of is a convergent sequence, is the limit of this sequence and we also write.
By definition, an element of (c(X)) is said to be a convergent sequence and (operatorname{Lim}(x_{n})_{ninmathbb{N}}) is the limit of this sequence.
The articles were rejected if they recorded no element of definition or conceptualization.
23 Cases which involve the Self-Incrimination Clause must, by definition, involve an element of coercion, since the Clause provides only that a person shall not be compelled to give evidence against himself.
Criminal sexual behaviors by definition contain an element of aggression and coercion (Dalton et al. 1998).
A text preserved in Arabic (see Pines 1961) has Alexander of Aphrodisias criticizing Xenocrates for saying that the (less general) species is prior to the (more general) genus because the latter, being an element in the definitions of the former, is a part of them (and wholes are subsequent to parts).
The state contends that risk-shifting is not an essential element of the definition of insurance in Kentucky.
Losing was a Boston Red Sox fan's "essence," a central element of the definition.
He therefore includes elements of definition by extension (enumeration of members of a 'class') and of definition by intension (enumeration of defining property or properties), for example, that "the essence of man, which is the truth underlying the symbol 'man', is recoverable only in the subject.
In fact, there is no single definition existing under international law but most international dispositions and bodies tend to agree on four constitutive elements of torture, as further explained in the first part of this paper "Elements of definition".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com