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First, it provides a better probabilistic model of the data, which can better identify where the data concentrate in n-dimensional space.
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"We would say, 'How do you feel about life?' " S.C.L.'s data concentrated on local concerns, such as housing, water shortages, or tribal conflict.
In particular, for excitatory networks, blow-up always occurs for initial data concentrated close to the firing potential.
Thus, the subset of Slepian basis functions corresponding to the higher eigenvalues from Eq. (4) optimally models the data concentrated over the spherical cap of interest.
Qualitative analysis of the data concentrated on the elements of social capital: the diversity of the networks, heterogeneity of the membership, size, regional scope and communication formats.
The proposed methodology constructs a PCE of the random vector together with an associated generator that samples from the target probability distribution which is estimated from data concentrated in the neighborhood of the manifold.
In short, we show that whenever the value of b > 0 is, we can find suitable initial data concentrated enough at the firing rate such that the defined weak solutions do not exist for all times.
However, Theorem 2.2 in Section 2shows this is not the only possible cause since the blow-up can happen for initial data concentrated enough around V F independently of the value of b > 0. See also Section 5for related numerical results.
Studies referring to empirical data concentrated solely on the leading digits' distributions, nearly always on the most significant digit only, neither discussing the relationship between the leading digits' distributions and the variable's distribution nor presenting the latter one.
Fishing density in Honduras was extremely high, although this may be the result of limited spatial data concentrating all fishing effort within the Honduran EEZ inside the Gulf of Fonseca.
Until recently, there are limited data concentrated on the awareness, treatment and control of hypertension and dyslipidemia in previously-diagnosed diabetes versus newly-diagnosed diabetes.
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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