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is given by formula (3.14).
The compression content is given by formula (2).
It is sufficient to apply Proposition 1 to the operator F given by formula (3.6).
Conversely, a β-antiderivative F of f vanishing at (s_{0}) is given by formula (3.2).
Using the above introduced concepts the formal definition of clustering coefficient is given by Formula 3.
(i) Note that a valid λ ⋆ in Corollary 3.2 ii) is given by formula (3.8).
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Replacement is also an axiom schema, as definable functions are given by formulas.
where y n and Q n are given by formulas (1.9) and (1.10), respectively.
The relationship between different disturbance components is given by formulas, and.
Let the kernel h ( t ) of a Hankel operator H 0 be given by formulas (1.2) and (3.1).
Thus Jodeit and Levitan showed that each admissible sequence ({c_{n}} _{n=0}^{infty}) generates an isospectral operator (L q, alpha, beta)), where (q, alpha) and β are given by formulae (2.3), (2.4) and (2.5), respectively.
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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