The homogeneous equation simplifies greatly the solution programs which are often performed to solve non-homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship.
In order to transfer the experimental JR curves from laboratory to real cracked components,a mathematical expression representing a family of the JR curves was constructed for steel 18G2A by using the test data of JR curves for the SENB specimens. The expression was formulated as a function of the constraint parameter A2 and crack extension.
The treatments simplifies greatly the solution programs which are often performed to solving non-homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at same time.
Moreover, the effects of the initial fluctuating velocity, density and velocity ratio of mixing layers on the mixing layer had also been calculated numerically.
The linearized wave equations, the very-long wave equations based on the Airy theory and the KdV equations for the three-layer fluid model are also presented.
The treatments simplifies greatly the solution programs which are often performed to solving non-homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at same time.
Under condition of392N and 490N, based on N46, the worn scar diameter of thesteel ball of EDT decreases respectively by 14.9% and 27. 3%than that of ZDDP, at the same time frication coefficient respec-tively decreases by 19. 7% and 34. 5%. The results indicatedthat the tribological performance of N46 based oil added EDT wasevidently improved.
The second kind of expression of Lagrange's equation of variable mass system has been deduced in this article from the point when the combination and separation of an element particle occur at the same time.
At the same time, Phase shifting was realized in four steps from 0 to 2π by controlling the PZT in the STM system to shift the specimen in the direction perpendicular to the gratings.
Under condition of392N and 490N, based on N46, the worn scar diameter of thesteel ball of EDT decreases respectively by 14.9% and 27. 3%than that of ZDDP, at the same time frication coefficient respec-tively decreases by 19. 7% and 34. 5%. The results indicatedthat the tribological performance of N46 based oil added EDT wasevidently improved.
The second kind of expression of Lagrange's equation of variable mass system has been deduced in this article from the point when the combination and separation of an element particle occur at the same time.
At the same time, Phase shifting was realized in four steps from 0 to 2π by controlling the PZT in the STM system to shift the specimen in the direction perpendicular to the gratings.
So we can get the isoconcentration graphs, which show the concentration distribution of tracer directly. According to the graphs, we can carry out the search of the law of diffusion of pollutants and the evaluation of water environmental quality. At the same time, the experiment in this paper also shows the feasibility of pollutant concentration measurement in water body by digital image processing technique.
The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the non-arithmetic lattices inSO(n,1) constructed by Gromov and Piatetski-Shapiro [GPS] and to groups generated by reflections.
We also show how to distinguish examples of open subsets with a good quotient coming from Mumford's theory and give examples of open subsets with non-quasi-projective quotients.
The cohomology algebra of the classifying space of a compact Lie group admits the structure of ann-Hopf algebra, wheren is the order of the Weyl group; the homology with dual structure is also ann-Hopf algebra.
The design that is subject to this criterion satisfies many kinds of linear optimal criterion and D-optimal criterion on several experiment models at the same time.
The design that is subject to this criterion satisfies many kinds of linear optimal criterion and D-optimal criterion on several experiment models at the same time.