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In Tapiero and Vallois (2016), we have used a fractional operator to define a fractional random variable and its associated distributions (which was proved to be unconventional).
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We then use these operators to define a windowed graph Fourier transform, enabling vertex-frequency analysis.
Finally, we use these reconstruction operators to define a Hodge inner product and build Compatible Discrete Operator schemes, and we test the influence of the reconstruction operators in terms of accuracy and computational efficiency on an anisotropic diffusion problem.
The various TE LSP recovery requirements allow an operator to define multiple CoRs, and assign a different CoR to each TE LSP according to its recovery requirements, such as very sensitive traffic like voice-over-IP/MPLS or ATM-over-MPLS could be routed over protected TE LSPs with bandwidth and node protection.
A common use for this operator is to define an element (for example called Cdh1T) which represents the total amount of phosphorylated Cdh1, as shown in (5).
Instead of an operator, it allows us to define a predicate D ⌜A⌝) by Tr ⌜A⌝) ∨ Tr(⌜¬A⌝).
Only one of the 7 variants (in Rv0282) was found to be recurrent and identified in 22 of the single colonies.> -wrap-foot> aAll variant positions and WGS results are listed in the supplementary data (Additional file 2: Table S2) We performed a receiver operator characteristic (ROC) curve analysis to define a reliable cut-off for the identification of true heterogeneous variants.
The purpose of this section is to define a resolvent operator when the linear operators (P t, s)) are not bounded.
We would like to define a Laplace operator associated with a natural representation of G in L2(M X),μ).
It is quite natural to find condition for a matrix map between BK-spaces to define a compact operator since a matrix transformation between BK-spaces is continuous.
In Section 2, we first present some properties of the Green functions that are used to define a positive operator.
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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