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We consider nonparametric Bayesian regression model with p responses.
It is found that the proposed method leads to a 6.31% reduction of the borehole thermal resistance when compared to the conventional arithmetic mean temperature method (the p-linear average model with p = 1).
In the M treatment, shoot P concentration also increased linearly with increasing P level, but shoot P uptake and forage yield were well-fitted by a quadratic model with P level as the independent variable and a lower physiological P use efficiency at high P level.
The calculated curves use an MOS model with p- and n-type material respectively.
Consider an IT2 TS fuzzy model with p rules in the following format [40].
On the other hand, the consistency of an atomistic theory is typically guaranteed by the trivial one-element model (with 'P' interpreted as identity), though one can also have models of atomistic theories that allow for infinite domains.
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The model with p-value less than 0.0001 and R2 values greater than 0.9; confirmed a satisfactory fitness of the experimental and theoretical studies.
Regression analysis shows good fitting of the experimental data to the quadratic polynomial model with P-value of 0.025, F-value of 6.73 and coefficient of determination of 0.924.
Comparison of the numerical and experimental results shows that applying the lumped parameter model with p-y curve PSI element to simulate soil-pile-upper structure interaction can obtain much higher accuracy than using the equivalent pile technique.
Because the sample size was limited, in particular for non-switchers, we removed covariates from the full model with p-values >0.25.
To identify which factors contribute to the selection pressure, a forward selection procedure is employed, in which the most significant association is iteratively added to the model, with p-values computed using the likelihood ratio test.
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