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The set of all λ-statistically convergent functions of order α will be denoted by [ S λ α ].
In Theorem 3.4 we give the inclusion relations between λ-statistically convergent functions of order α for different α's of real-valued functions which are measurable (in the Lebesgue sense) in the interval ( 1, ∞ ).
However, there are examples of independent duplications among primates resulting in convergent functions.
10.7554/eLife.05289.015 Figure 8. Model of convergent functions of MAPK signaling molecules in amino acid starvation-induced autophagy and regulation of Beclin 1 S90 phosphorylation.
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Furthermore, we discuss how FGLK motifs are required for efficient precursor protein import and how these elements may permit a convergent function of this highly variable class of targeting sequences.
A function f is Δ-convergent, a function f is Δ-Cauchy, for a function f there exists a measurable and convergent function (g:mathbb{T}rightarrowmathbb{R}) such that (f(t)=g(t)) for (Deltamboxa.a.~t).~t
f is Δ-convergent, f is Δ-Cauchy, There exists a measurable and convergent function g : T → R such that f ( t ) = g ( t ) for Δ-a.a.
The following statements are equivalent: (i) f is Δ-convergent, (ii) f is Δ-Cauchy, (iii) There exists a measurable and convergent function g : T → R such that f ( t ) = g ( t ) for Δ-a.a.
The following statements are equivalent: (i) A function f is Δ-convergent, (ii) a function f is Δ-Cauchy, (iii) for a function f there exists a measurable and convergent function (g:mathbb{T}rightarrowmathbb{R}) such that (f(t)=g(t)) for (Deltamboxa.a.~t).~t.~t
A restricted number of genes showed either impaired variation when compared with control cells (clusters b and d) or variation restricted to cells with low levels of HP1γ (Figure 5B, cluster e), but their analysis did not reveal any convergent function.
This could reveal the convergent function of PIMS in conventional and regulated protein secretion.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com