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Reforestation measures induced soil profile development on the gully slopes with distinct humus horizons.
The logarithmic derivative is then explicitly evaluated for probability measures induced by the solutions to stochastic ordinary and partial differential equations.
We endow the Sobolev spaces with the probability measures induced by the positive definite kernels such that the kernel-based estimators can be solved to maximize the kernel-based probabilities conditioned on the observed data.
Denote by (left {mathbf {P}_{vartheta }^{left (varepsilon,t right)},vartheta in Theta right } ) the family of measures induced in this space by the solutions of (9) with different 𝜗∈Θ.
Let ({mathbb {P}}^{theta}) be the probability measures induced by (X^{theta}) on the canonical space and ({mathbb {P}}^{theta}_{t}) be the restriction probability measure of ({mathbb {P}}^{theta}) on σ-algebra (mathcal {B}_{t}({mathbb {D}})).
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Further, we have clustered the two-moon dataset by using an induced (M phi -distance M phi -distance by the Sargent sequence space (measure) inducedk-means clustering algorithm.
For any Lebesque measurable set, the associated Lebesque-Stieltjes probability measure induced by is denoted by and it is defined as.
Liquid scintillators measured induced fission neutrons to characterize the samples in terms of their uranium mass and enrichment.
NeuroBloc® was also uniquely evaluated in an extensive series of preclinical studies that directly measured induced changes in the compound muscle action potential in non-human primates.
Since the strain modes as well as the normal displacement modes are intrinsic dynamic characteristics of a system, the dynamic loads exciting a structure are estimated by measuring induced strain fields.
The estimation is based on matching model-implied moment conditions under the occupation measure induced by the spot covariance process.
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