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This study hence introduced an experimental investigation of groundwater buoyancy force on shallow foundations embedded in saturated clay ground based on the "half interval" search method.
Test results demonstrated that the measured buoyancy force on foundations in clay ground was smaller than the theoretical buoyancy force, which is consistent with the large-scale field measurements, indicating that the proposed half interval search method is reliable and robust.
Let (p_n) denotes the probability that a diffusion process X exits of domain D at (tin [t_n, t_{n+1}]) by given values (X_n) and (X_{n+1}.) In one dimensional half interval case, (D= -infty, B)) for a constant B, the probability (p_n) has a simple expression using the law of Brownian briD= -infty[14].
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The proposed "half-interval search" method has many advantages, i.e., didn't rely on any instrumentations, avoided limitations of devices/sensors, and maintained high quality of test accuracy.
Since a point may be assessed a few times, the integer ratings become continuously distributed in the interval [1..5], and waiting times - in the half-interval [5..∞).
A numerical method has been presented for obtaining the estimates of phase velocity and dimensionless frequencies of vibration of transversely isotropic bone using the half-interval method.
The dimensionless frequency and phase velocity were calculated with the aid of an electronic computer by using the half-interval method.
The only issue that should be clarified in that case is the definition of iterations on the half-intervals at those points which are thrown over the middle to the adjacent half-interval.
This is impossible, however, because the boundary conditions on the half-intervals, with trivial exceptions, are never 1 2 T -periodic.
The relationship among the defect indices of the minimal subspaces in the whole interval and the left-hand and right-hand half-intervals is studied in Section 4.
In Section 3, the maximal, pre-minimal, and minimal subspaces in the whole interval and the left-hand and right-hand half-intervals are introduced and their properties are studied.
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