In this method, three shell displacements are first expanded in Fourier series in the circumferential direction, then an infinite number of decoupled partial differential equations containing a spatial variable and a time variable are obtained.

A method to determine the three-elements of the one order electric circuit is presented. The method is more convential than the traditional step-by -step way, by a time variable electric circuit, and is more suitable to analyze the dynamic response of complicated one order electric circuit.

And this fuzzy controller is designed for the deviation of the vapor pressure and the temperature on container's ektexine as its two inputs, its output is a time variable which controls the status of the thyristor.

On the basis of reviewing Kaluza-Klein theory and Space-Time-Matter theory , the dissertation emphasizes on simulating present universe under a "big bounce" model, which contains a time variable cosmological "constant" that is derived from a higher dimension and manifests itself in 4D spacetime as dark energy. By properly choosing the two arbitrary functions contained in the model, a simple exact solution can be easily obtained in which the evolution of the universe is divided into several stages.

In addition, we also introduced a new variable, i.e. letter collection, and a time variable, i.e. cell, in order to check the abstractivity and comprehensibility of implicit learning.

Communication mechanism is a very important field in the research of mobile agent technology. Based on the active communication algorithm, this paper presents an improved active communication algorithm of mobile agent, which sets a time variable and waiting of Speeding. Under the conditions of mobile Agent move in high-speed, it forces to stop the movement of Agent, avoiding the transmission of information can not be completed in long time, Completing the reliable information transmission.

The existense of the non—polar local latitude variations of the five I L S stations is proved by analysing the residuals mathematically. And the uncertainty of the conventional international origin (CIO) caused by such variations is also demonstrated, it is pointed out that the uncertain solutions of polar motion and the drifts of the stations are led by the uncertainty of CIO. As a results,the key to this problem is to determine or choosc a proper origin of rhe reference system. 1. Some results of matrix operation...

The existense of the non—polar local latitude variations of the five I L S stations is proved by analysing the residuals mathematically. And the uncertainty of the conventional international origin (CIO) caused by such variations is also demonstrated, it is pointed out that the uncertain solutions of polar motion and the drifts of the stations are led by the uncertainty of CIO. As a results,the key to this problem is to determine or choosc a proper origin of rhe reference system. 1. Some results of matrix operation For convenience, matrix symbols are used in this paper. And theorems of matrix opcration are introduced. The major one is theorem 1.3, that is, if A∈R~(m·n) and r(A)=n, we have r(I-A(A~Т A)~(-1) A)=m-n, where R~(m×n) is the mxn—dimension Euclidean space, A is a matrix with m columns and n lines, and r(A) stands for thc rank of A. 2. Errors analysis The formula L(t)=AX(t)+E(t)is often used for observational error eq- uations, where t is a time variable, L(t)∈R~m is the measured value taken the form of m—dimentional vector, E(t)∈R~m stands for the error of L(t) (include random and systematic ones), X(t)(R~n is the parameter to be determined, and A∈R~(m×n) is an known coefficient matrix. Let V(t)∈R~m express the residuals of the solutions solved with the least square method. (For brevity the variable t is often omitted in the formulas.) Then we have theorem 2.1 V=(I-A (A~Т A)~(-1)A~Т)E and theorem 2.2 if E is a m—dimentional normal distribution N(M, Б), then V is in the same form N (M_v,Б), and M_v=(I-A(A~Т A)~(-1) A )M, Б_v=(I-A(A~T A)~(-1) A~Т)Б(I-A(A~Т A)~(-1) A~Т), in which M, M_v∈R~m are the mathematical expectations, Б, Б_v∈R~(m×m) are the covariance matrixs and I∈R~(m×m) is a unit matrix. 3. The proof of the local non—polar latitude systematic variation With respect to the seriese Δφ(t) of latitude variations publishedby the residuals V(t) are obtained by using the least square method to the equation L(t)=Δφ(t)=AX, where The root—mean—square errors of yearly average in the observational latitude are reasonable, considered to be less than 0″.005, since these of monthly average are estimated to be better than 0″.01. Thus, suppose the covariance matrix of E, Б=0.005~2I. The test of significance is taken for V in the light of theorem 2.2. Consequently the level of significance is much less than 1% so that Mv=(?) (the average of V(t) ) is negated. It is confirmed that E contain the non—polar local systematic errors M(t) which vary with the time variable. We can regard the total M(t) as the drifts of the stations. 4. The uncertainty of CIO Because of M(t), the way to keep CIO by the five ILS stations can not be relized actually. Furthermore, the determination of CIO depends on that of M(t), and inversely, the ascertainment of M(t) is based on that of CIO. Therefore, CIO defined in such a way is undeterminable. 5. Solution and its reference system For the equations L=AX+M, the number of unknown quantities is three more than that of equations owing to M(t). The solutions are not able to be determined then. In accordence with the equations L=AX+M, it is easy to know that if M is certain due to the origin to be certain, we can obtain the solution X. It is the same the other way round. From known X. M and so the origin of the reference system can be gained. Thereby, referring to solutions of polar motion we must point out exactly which point is adopted as a origin. Formerly, the solutions X solved with the least square method were related to the origin which is based on that the drifts of stations M=V are certain. Yymi and Okuda and others tried to solve the problem of secular polar motion by separating M from V. However, as they failed to catch the essence of the problems, their works in fact have only been to transform the solution from the foregoing reference system to those ones in which other points are referred to be the origin but are not any better than the original one. Thus, the problem is the question of choosing a proper reference system actually, that is, defining a suitable origin. It is unable that to define a fixed point related to the earth surface because of the relative drifts among the respective parts of the earth crust.

The semi-group theory and the mathematical distribution theory in particle physics are reviewed. From Einstein's semi-group and Lorenrtz group one can get the rapidity of particle physics. Einstein's semi-group is a kinematical semi-group, as Lorentz group is a kinematic group. The renomali-zation group is a dynamical semi-group. In the mathematical distribution theory, Callan-Symanzik Guation can be Obtained from the invariant under the scale transformation of the semi-group. The parameters in Callan-Symanzik...

The semi-group theory and the mathematical distribution theory in particle physics are reviewed. From Einstein's semi-group and Lorenrtz group one can get the rapidity of particle physics. Einstein's semi-group is a kinematical semi-group, as Lorentz group is a kinematic group. The renomali-zation group is a dynamical semi-group. In the mathematical distribution theory, Callan-Symanzik Guation can be Obtained from the invariant under the scale transformation of the semi-group. The parameters in Callan-Symanzik equation are dynamic one From E.B.Dynkin's theoream, it is easy to prove that the evolution of QCD jets should be described as a Markov branching process if the log (log((?2/^42)) is regard as a "time" variable in momentum space. Since the high energy multiplicity distribution functions of the hadrons are the so-called infinitely divisible. KNO Scaling can be interpreted as the particular manifestation, the first-passage time behaviour. Namely KNO scaling distribution functions can be determined by Callan-Symanzik equation. The mathemati&al distribution of the renormalization semi-group provides a simple recipe to determine the physical distribution functions of the momentum -energy, sea-gull effect, and of the sphericity, thrust, triplicity for the hadron jets.

Capacitance fuze builds up a static electric field around the detecting electrods through the action of an oscillator . It can simply be taken as equivalent to a static electric dipoles , and then deduce the field strength at a distance r around the electric dipoles . A solution of Maxwell' s field equations of the electric dipoles in a time-variable field is deduced , thus permitting a comparison between the characteristics of the capacitance fuze and those of other kinds of proximity fuzes . The...

Capacitance fuze builds up a static electric field around the detecting electrods through the action of an oscillator . It can simply be taken as equivalent to a static electric dipoles , and then deduce the field strength at a distance r around the electric dipoles . A solution of Maxwell' s field equations of the electric dipoles in a time-variable field is deduced , thus permitting a comparison between the characteristics of the capacitance fuze and those of other kinds of proximity fuzes . The conclutions arrived at are : Capacitance fuzes using the electrostatic fields possesses better fixed distence characteristics , smaller spread of the burst height and bettr anti - con -cealment property when compared with other proximity fuzes using radiation fields .