By a new defined matrix called the state matrix of the degaussing system, the elements of the S-matrix are presented in relatively simple expressions and can be got with a new practical measuring method.
A mathematical model is developed for rapid prototyping (RP) using the conglobation parameter which relates to material forming and the material forming status matrix (MFSM) to describe material changes in space using RP processes.
For this reason and on the basis of graph theory and the features of distribution network, a connectivity analysis algorithm based on index table and adjacent point table is proposed. In this algorithm by means of constructing branch status matrix the change of switcher situation is represented, the index table and the adjacent point table are used to describe the structure of the graph, so the storage space of the graph is compressed.
A new connectivity analysis algorithm is presented in this paper. Branch status matrix is used to describe the status change of distribution network in this algorithm with a index table and a adjacent point table to describe the graph structure, and it can compress memory of date.
Based on data of land use and land cover obtained from the TM images and topographic maps of the Yellow River Delta of 1986, 1996 and 2001, a primitive status matrix and a transition probability matrix of the land use and land cover were worked out with the aid of ARC/INFO software. Future tendency of the land use and land cover pattern was predicted, following the Markov Chain Model.
There are many ways to choose an appropriate aggregation matrix in the modal aggregation method to simplify the large-scale systems. This paper mainly applies the method of solving the eigenvectors in the matrix theory to find the modal matrix. Considering that the state-matrix of the real system can’t be complex numbers, the Jordan block is given a proper transformation to find the correspohding modal matrix.
Effect of nonuniform permittivity of a solid-state matrix on the spectral width of erbium ion luminescence
The results obtained are explained both by the effect of the local environment on Er3+ ions and by the manifestation of nonradiative deexcitation of ions caused by the transfer of energy back into the solid-state matrix and the Auger processes.
It can not only obtain eigenvalues and eigenvectors from power system state matrix but also provide participation factors of all generators.
Breaking the phase-lock is accomplished by adding a perturbation to the state matrix at the transiting point.
To analyze the request migration process, we introduce a state matrix representation that stores the service load information of each video server and plays an important role in the determination of migration paths.
By the means of automatic small-signal equivalent-circuit construction, state-variable selection and periodic time-varying state-matrix generation, the system perturbation vectors and phase noise power spectrums are efficiently calculated.