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We may then define a shape or variety to consist of the roots of a polynomial.
By means of Var γ ( f, p ), we may then define another two-parameter mean.
We may then define knowledge like so: to know is to believe the truth because you believe (intellectually) virtuously.
We may then define the X-valued stochastic integral ∫ 0 T ∫ Z L ( t, v ) N ˜ ( d t, d v ), which is a centered square-integrable martingale [5].
Since many traditional network properties for example, clustering coefficient and assortativity are developed largely based on CND, we may then define CSD-based versions of such network properties.
For (fin L^1), we may then define formally a "derivative" by the formula begin{aligned} widehat{D_G(f)}(mathbf{k} mathop limits ^{mathrm{def}}frac{hat{f}(mathbf{k})}{hat{G}(mathbf{k})}, quad mathbf{k}in mathbb{Z }^q.
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The resulting gene signatures may then help define cancer subtypes, predict recurrence of disease and response to specific therapies, and be used to analyze oncogenic pathways [ 3].
Given a partially ordered set \((P, \le)\), an upper bound for a subset \(X\) of \(P\) is an element \(a\in P\) for which \(x\le a\) for every \(x\in X\); a maximal element of \(P\) may then be defined as an element \(a\) for which the set of upper bounds of \(\{a\}\) coincides with \(\{a\}\), which essentially means that no element of \(P\) is strictly larger than \(a\).
The delay spread may then be defined as [26] (15).
Validity may then be defined as the necessary preservation of designated value.
Consequently, Nature 4 may occur within 'cracks of the sidewalk' or in woodland succession on abandoned industrial sites − these may then be defined as so-called novel ecosystems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com