rank function
1.NSE of scale-free networks is presented analytically by introducing a degree-rank function.
3.Using the corresponding relationship built by the method used in [1], we give the construction of the Gabriel topologies arising from any additive rank function and the con- struction of the corresponding quotient rings for any right noetherian semiprime ring. There- fore we establish the association between the additive rank function in noetherian rings and the finite length in the module category for an artinian ring.
7.In the first section, we discuss the Augmented BFGS Algorithm for solving the unconstrained nonlinear program with Hesse Matrix is one rank defeat. The idea of the algorithm is to add one modified term concerning the null space of Hesse Matrix to the convex objective function to get an equivalent model which has the same solution as the original objective function, and then simplify the model and apply BFGS Algorithm in the simplified model.
9.FCA total was divided into 4 levels: <40, 41~60, 61~80, >0 using Wilcoxon rank test. There were no significant differences between the two groups in the first assessment (P>0.05). however,at lastevaluation, there were significant differences between the two groups (P<0.05),but no significant in FCAcognitive function (P>.05).
10.Abstract: By comparing the channel capacities hetwem orthogonal space-time block coding and multi-antenna array system over Rayleigh fading channel,some capacity loss for orthogonal space-time block coding is obtained,which is a function of the code rate,the rank of channel matrix and the number of transmitter and receive antennas,although the system of orthogonal space-time block codes is simple and easy to implemented.If is also shown that there is no capacity loss only if both the code rate and the channel matrix rank are all one.
