ISSN 0253-2778

CN 34-1054/N

2015 Vol. 45, No. 12

Research Articles:Mathematics
A new proof of the classification of solutions to some linearized fractional Yamabe type equations
2015, 45(12): 967-971. doi: 10.3969/j.issn.0253-2778.2015.12.001
The classifications of all the solutions to the linearized Yamabe equations and fractional Yamabe type equations are crucial to the proof of the compactness of the scalar curvature problems and the fractional scalar curvature problems respectively. These classifications, though having been proved in an analytical way before, have been proved by adopting some new geometric approaches from the perspective of conformal geometry.
New upper and lower bound for the signless Laplacian spectral radius
ZHAO Hongting, ZHANG Hailiang
2015, 45(12): 972-975. doi: 10.3969/j.issn.0253-2778.2015.12.002
Let D be the degree diagonal matrix of G, A be the adjacency matrix of G, Q=D+A be the signless Laplacian matrix of G. Let ξ(G) be the signless Laplacian spectral radius of G. Here the degree of graph was extended to k-degree, and average degree to k-average degree of a graph. A new upper and a new lower bound for the signless spectral radius of a graph G was obtained. Comparisons were made of the result with several classical results on the ξ(G).
On S-c-propermutable subgroups of finite groups
MAO Yuemei, MA Xiaojian, YANG Nanying
2015, 45(12): 976-982. doi: 10.3969/j.issn.0253-2778.2015.12.003
A subgroup H of a group G is said to be S-c-propermutable in G if G has a subgroup B such that G=NG(H)B and for every Sylow subgroup A of B, there exists an element x∈B such that HAx=AxH. Here, S-c-propermutable subgroups were used to study the structure of finite groups and some new criteria of supersoluble groups were obtained.
Boundedness of multilinear oscillatory singular integral on weighted Morrey spaces
PAN Yali, LI Changwen, ZHU Xiaolin
2015, 45(12): 983-988. doi: 10.3969/j.issn.0253-2778.2015.12.004
Using the boundedness result of the multilinear oscillatory integral operators on weighted Lebesgue spaces, based on the extrapolation theory, some inequality techniques and decomposition of space, some boundedness of two classes of multilinear oscillatory singular integrals on the weighted Morrey spaces Lp,κ(ω) were obtained.
n-color 1-2 compositions of positive integers
GUO Yuhong
2015, 45(12): 989-993. doi: 10.3969/j.issn.0253-2778.2015.12.005
An n-color 1-2 composition is defined as an n-color composition with only parts of size 1 or 2 of positive integer. An n-color 1-2 palindromic composition is an n-color 1-2 composition in which the parts are ordered such that they are read the same forward and backwards. Here the generating function, explicit formulas and recurrence relations for n-color 1-2 compositions and n-color 1-2 palindromic compositions were obtained. In addition, a relation between the number of n-color 1-2 compositions of ν and the number of n-color 1-2 palindromic compositions of ν was given.
Novel double Casoratian solutions to a negative order four-potential isospectral Ablowitz-Ladik equation
XUE Yimin, CHEN Shouting
2015, 45(12): 994-1002. doi: 10.3969/j.issn.0253-2778.2015.12.006
A matrix method for constructing double Casoratian entries was applied to a negative order four-potential isospectral Ablowitz-Ladik equation. Novel double Casoratian solutions to it were obtained by allowing the general matrix to be some special cases, including Matveev solutions and mixed solutions.
Several new classes of generalized zero-difference balanced functions
JIANG Lin, LIAO Qunying
2015, 45(12): 1003-1014. doi: 10.3969/j.issn.0253-2778.2015.12.007
Zero-difference balanced(ZDB) functions were introduced by Ding in connection with construction of optimal constant composition codes and optimal and perfect difference systems of sets. Based on such functions, people have been constructed optimal constant weight codes and optimal frequency hopping sequences. Here the zero-difference balanced function was generalized to the generalized zero-difference balanced (G-ZDB) function, and based on properties of p-cyclotomic cosets, several new classes of generalized zero-difference balanced functions were constructed.
A new class of projectively flat Finsler metrics
LI Ying, SONG Weidong
2015, 45(12): 1015-1022. doi: 10.3969/j.issn.0253-2778.2015.12.008
A class of projectively flat Finsler metrics with three parameters was constructed, which generalizes a result obtained by Mo and Yang.
Research Articles:Physics
HRS optics optimization method for Coulomb sum rule (CSR) experiment in JLab Hall-A
YAN Xinhu, YE Yunxiu, LYU Haijiang, JIANG Fengjian, ZHU Pengjia, SHI Ying
2015, 45(12): 1019-1023. doi: 10.3969/j.issn.0253-2778.2015.12.009
In order to study the acceptance and calculate cross sections for CSR experiment, one needs to obtain target variables on the target plane of the spectrometer. Target variables can be reconstructed from focal plane variables with optics. In principle, the optics is the mathematical expression of the magnetic field of HRS. The optics optimization method which minimizes χ2 of TgVardata-TgVatheory to determine the better optics matrix elements for CSR experiment was studied. The optimization results show a good agreement between the data and theoretical values.
Research Articles:Management Science and Engineering
Analysis of portfolio VaR by pair copula-LMSV-t
ZHANG Mian, CHENG Xijun, FANG Zheng, GUO Jianhong, LIU Feng
2015, 45(12): 1024-1029. doi: 10.3969/j.issn.0253-2778.2015.12.010
The LMSV-t model was adopted to estimate the marginal distribution, instead of the GARCH model, which has been adopted before, and the pair copula-LMSV-t model was constructed. Furthermore, the method for parameter estimation of LMSV-t by MCMC was offered. An empirical example with the open-end fund's data demonstrates the superiority of the LMSV-t model in describing the volatility and long memory of asset's return. Using the LMSV-t model as the description of the marginal distribution, the pair copula-LMSV-t model has better performance in the analysis of portfolio VaR.
Portfolio based on Black-Litterman model with entropy compensation
ZHU Yechun, CAO Chongyan
2015, 45(12): 1030-1035. doi: 10.3969/j.issn.0253-2778.2015.12.011
The Black-Litterman model can be recognized in the financial markets in combination with subjective judgment of the investors and the traditional portfolio. Based on the model, the optimization method with entropy compensation was presented. AR-TGARCH was used on the basis of historical data to predict yields and volatility, as the input variable, instead of the pure sense of the analysts subjective decision. The optimal combination of asset weights were obtained by solving the nonlinear programming problem with entropy compensation. Empirical study shows that the new model achieves better return and has stronger applicability than other portfolio models.
Approach to interval-valued intuitionistic fuzzy multiple attribute decision making with preference information
DUAN Chuanqing
2015, 45(12): 1036-1040. doi: 10.3969/j.issn.0253-2778.2015.12.012
With respect to interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives and unknown weight information, some functions and a new entropy were proposed. To gain the weights of the attributes, a new method was proposed based on the entropy and the deviation between values of the preference and values of the attributes. Next, a formula of interval-valued intuitionistic fuzzy numbers correlation coefficient with attribute weights was defined and then a method for ranking the alternatives was proposed. Finally, the method was used as an example to verify its simplicity and effectiveness.