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Exact(3)
Clearly, ℱ′ must be a valid mapping.
[Leading node] Let ℱ be a valid mapping and let s∈ V S).
To be a valid mapping, these inner product kernels must be symmetric and also satisfy Mercer's theorem [ 33].
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In Lemma 3.1 we have already established that ℱ opt is a valid mapping.
In the remainder of this section we first show that ℱ opt is a valid mapping and Δ(ℱ opt )=Δ opt, and then study the complexity of Algorithm 1. ℱ opt is a valid mapping.
The output is a valid mapping ℱ opt :∪ G ∈?? V(G)→ V(S), such that Δ(ℱ opt ) is minimized.
The bibliometric method employs empiric data and quantitative analysis to trace the core production or citation, the content or quality of publications, and motivations of the researchers in the form of published literature so that it proves to be a valid and reliable way to map external and internal features of a scientific field [ 10].
We conclude that the MMAR may be a valid and reliable tool to assess mind maps in medicine.
▪ Let ℱ: ∪ G ∈?? V(G)→ V(S) be any valid mapping.
Such a set of switching events is called weakly incompatible [ 5]. Figure 2(b) shows a set of associations with weakly incompatible host switches and Figure 2(c) shows how these host switches can be modified to construct a valid mapping.
These results confirm the findings made with other techniques and indicate that Pvu-Seq is a valid technique for mapping hmC sites in the AHB and EHB genomes.
More suggestions(15)
be a surjective mapping
be a valid assessment
be a nonself mapping
be a valid measurement
be a multivalued mapping
be a cyclic mapping
be a valid marker
be a quartic mapping
be a cubic mapping
be a nondecreasing mapping
be a nonlinear mapping
be a continuous mapping
be a differentiable mapping
be a nonspreading mapping
be a valid test
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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