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The paper concludes by proposing expressions that allow slightly conservative prediction of the combined capacity of a hybrid foundation.
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Several researches have proposed expressions to obtain the corner period.
The simulation results show that the proposed expressions present perfect accuracy.
The prediction curves were compared with the test data and proposed expressions from the literature and proved to be suitable to predict the fatigue life of masonry.
Both the JPDF P(λ 1,…,λ n ) of W and the r-point correlation function will be used in the following sections to derive our proposed expressions.
In order to support the proposed method, numerical and experimental activities have been carried out which show the good reliability of values obtained from proposed expressions.
Experimental results obtained in bubble column and airlift contactors (external-loop and concentric-tube) of pilot-plant scale (ca. 50L liquid capacity), with water and 0.15 kmol m−3 NaCl solution as liquid media, were used to test the proposed expressions.
Dovera and Rossa (2011 ) proposed expressions of conditional means, covariances, and weights for Gaussian mixture models, so that the ensemble Kalman filter algorithm (EnKF) became usable in this case.
Risbey et al. [ 72] have proposed expressions for different levels of precision, ranging from full well defended probability density functions, to percentile bounds, first order estimates, expected signs or trends, ambiguous signs or trends and, finally, effective ignorance.
Furthermore, the proposed expression based on experimental tests was compared with the proposed expression by Afefy (2012).
The proposed expression attains its maximum when this condition is fulfilled.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com