The research works are mainly concerned with the following aspects:Firstly, the differential expression of bilinear hysteretic is studied and a new differential expression is developed, then they are demonstrated.

Random seismic responses of civil engineering structure arecalculated by employing stochastic vibration equations and moment equations methods of nonlinear structures established and stochastic equivalent linearization. In this procedure of calculation, differential expression of hysteretic characteristics and seismic excitation are taken into consideration.

The aim of this paper is to introduce a so-called rheologic model, somewhat conveniently for describing the behavior of rock deformation with time and to derive a differential expression of constitutive equation for such modles.

It also introduces every kind of integral operator signs as well as the correlation between them and is then by kelvin's differential expression of constitutive equation for rheologic model as an example to describe the process of changing the differential expression into integral one. Finally, it explains the problem of the viscoelastic theorem depending upon the basic theory of the integral operator form usually used and the calculating method of the integral operator.

3. The differential expressions of both eigenvalues and the corresponding eigenvectors have been showed, and the residuals after estimated eigenvalues have been showed too while the matrix is changed.

In the first place, we describe the structure of the maximum operator domains under the assumption that the singularly formal selfadjoint differential expressions L_2 vector-function spaces attain maximum deficiency indices on middle deficiency indices. Then on this basis, the analytical description of the corresponding self adjoint extension domains is obtained.

parameter form of the hyperbola fitted to capillary pressure laboratory data, obtain capillary pressure curves analytical function, differential and integral expression by least*. squares solution. It can fit the capillary pressure curves throughout the range of data, and obtain accurate the inlet saturation for centrifuge*.

This paper has investigated into the relation between the apparent viscosity and temperature, analyzed usual viscosity-temperature formula, discussed viscosity-temperature relation at zero and given electric field, and compared ERF viscosity to intensity of electric field at different temperatures.

By building a dipole model for lightning, differential equations regarding horizontal electric field Er, vertical electric field Ez and tangential magnetic field Bφof any field point in lightning space are derived.

For the Morgenstern-Price method,according to the force and moment equilibrium conditions of the slice,the expressions in algebric form (instead of differential or integral form) for the factor of safety Fs and for the scaling factor λ are derived respectively,and only a simple iterative scheme is involved for rapidly obtaining converged solutions.

The Bargmann Fock spaces corresponding to ordinary complex ,anticommutative,and q deformed variables are considered, and it is proven that for the Hilbert structures in these spaces, the inner products can always be expressed in differential forms.

Heterogeneity and Differential Expression of MUP Proteins as a Genetic Basis of the Physiological Activity of Androgen-Dependent

Differential Expression of the Isoforms of Human Vascular Endothelial Growth Factor and New Approaches to Therapeutic Angiogenes

Let q (x) be a positive function given on the interval I of the real axis; let P be the minimal operator generated in L2(0, +∞) by the differential expression P[·]=-d2/dx2+q(x); let Q be the operator of multiplication by the function q(x).

We consider a self-adjoint differential expression of even order in a space of vector-valued functions.

We prove that an arbitrary generalized resolvent of the minimal operator L0 induced by this differential expression is an integral operator and we derive a formula for all of the spectral functions (orthogonal and nonorthogonal) of the operator L0.

Description of the self-adjoint extensions of quasiregular operators generated by differential expressions with two terms

The spectral properties of differential operators generated by these differential expressions are investigated.

Gene expression profiles of 14 common tumors and their counterpart normal tissues were analyzed with machine learning methods to address the problem of selection of tumor-specific genes and analysis of their differential expressions in tumor tissues.

Results: There were differential expressions of nine prostate-associated specific genes in CaP as compared with normal prostate, among which, 7 were significantly up-regulated and 2 were down-regulated.

Changes in environmental parameters, like temperature and/or hypoxia can be possibly related to differential expressions of HSPs, which can result in severe adverse developmental outcomes.

In order to simulate the large-scale dynamic process and improve the numerical weather prediction, a primitive equation hemispherical model is developed.Gharacteristic features of the model are as follows: The thermodynamic equation is written in the form as equation (6). The difference schmes of the model preserve total energy but the difference schemes of the pressure gradient and hydrostatic relation have not any constraint. The physical factors of orography, friction, horizontal diffusion, large-scale precipitation,...

In order to simulate the large-scale dynamic process and improve the numerical weather prediction, a primitive equation hemispherical model is developed.Gharacteristic features of the model are as follows: The thermodynamic equation is written in the form as equation (6). The difference schmes of the model preserve total energy but the difference schemes of the pressure gradient and hydrostatic relation have not any constraint. The physical factors of orography, friction, horizontal diffusion, large-scale precipitation, evaporation and various non-adiabatic heating are included. The radiational heating and cooling is designed to evaluate directly from the differential expression (21) and (22), and the ground temperature is calculated from the solution (24) without iteration.The model was tested to give an example of 48 hours predition.

The aim of this paper is to introduce a so-called rheologic model, somewhat conveniently for describing the behavior of rock deformation with time and to derive a differential expression of constitutive equation for such modles. It also introduces every kind of integral operator signs as well as the correlation between them and is then by kelvin's differential expression of constitutive equation for rheologic model as an example to describe the process of changing the differential expression into integral one....

The aim of this paper is to introduce a so-called rheologic model, somewhat conveniently for describing the behavior of rock deformation with time and to derive a differential expression of constitutive equation for such modles. It also introduces every kind of integral operator signs as well as the correlation between them and is then by kelvin's differential expression of constitutive equation for rheologic model as an example to describe the process of changing the differential expression into integral one. Finally, it explains the problem of the viscoelastic theorem depending upon the basic theory of the integral operator form usually used and the calculating method of the integral operator.

In this note the differential expressions of divergence, curl, and gradient are derived based on one common model. Each of them involves the limiting value of a differential quantity per unit volume. By taking advantage of some differential relations of the unit vectors weighted by the metric coefficients, the full expressions of these three quantities in vector analysis can be readily derived.