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A stochastic approach to solve the differential equation, the Monte Carlo method, is deduced and its application to the formal solution is demonstrated.
This method is deduced from a variational principle, which uses a modified hybrid functional involving the generalized displacements and generalized tractions on the boundary and the lateral deflection in the domain as independent variables.
It considers the effects of grain size distribution and sintering, and a new expression for the aggregation frequency, which takes into account the sintering mechanisms and synthesis method, is deduced.
The growth mechanism of the current MAH method is deduced to be similar to that previously described for the polyol process.
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The input data for the calculation method are deduced according to in-situ measurements of convergence and displacement in the roadways.
At the same time, due to the first time used on a large scale in mainland of China, the short-line match method technology and the principles of the coordinate transformation are briefly introduced, and the formulas of spatial dimensional coordinate transformation for geometric shape control and calculating the translation amounts of precasting by the short-line method are deduced.
The optimal hybridization time with respect to this particular set of probe design method was deduced based on the enrichment efficiency (fraction of on-targets) for each hybridization time.
Based on a comprehensive survey of various hydrokinetic systems reported to date, general trends in system design, duct augmentation, and placement methods are deduced.
The corrosion mechanism of aluminum in the presence of LiN SO2CF3 2 was proposed, and three methods were deduced to inhibit the aluminum corrosion based on this mechanism.
In Section 3, the results on the dissipativity of Runge-Kutta methods are deduced.
As nonlinear problems commonly cannot be solved analytically, an analytic interval-based uncertainty analysis method for linear problems is deduced, and an explicit expression of the measure index of uncertainty is given.
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