Description Computes the distribution function of quadratic forms in normal variables using Imhof's method, Davies's algorithm,Farebrother's algorithm or Liu et al.'s algorithm.

in this research between 3-dimensional and axisymmetric modeling for movement of nano-particles in passing through a aerodynamic lens, and also between these models and famous model of wang & liu was compared. for this purpose, output of nano-particles penetration, divergence angel, and nano-particle velocity with wang & liu model was compared. geometrical model used for aerodynamic lens compar...

Credibility measure was created by Baoding Liu [5, 7] and his Chinese co workers [4] around 2004. Then, Baoding Liu designed a grand view of fuzzy process, hybrid process and uncertain process [6]. In response to his work, Dai [1] sketched how to create standard normal fuzzy process under credibility measure, which he called standard Liu process. Independently Kageyama and Iwamura [3] construct...

Description Computes the distribution function of quadratic forms in normal variables using Imhof's method, Davies's algorithm,Farebrother's algorithm or Liu et al.'s algorithm.

In the linear regression models with AR (1) error structure when collinearity exists, stochastic linear restrictions or modifications of biased estimators (including Liu estimators) can be used to reduce the estimated variance of the regression coefficients estimates. In this paper, the combination of the biased Liu estimator and stochastic linear restrictions estimator is considered to overcom...

uncertainty inherent in the financial market was usually consid- ered to be random. however, randomness is only one special type of uncer- tainty and appropriate when describing objective information. for describing subjective information it is preferred to assume that uncertainty is fuzzy. this paper defines the expected payoof trading strategies in a fuzzy financial market within the framewor...

Because the reeector is horizontal, the raypaths from the source and the receiver are symmetric. We have cos s = cos r = z

In their original formulation of the method of isotropic extension via structural tensors, which is meant for applications to the derivation of coordinate-free representation formulas for anisotropic constitutive functions, both Boehler and Liu start with the assumption that the invariance group of structural tensors is the symmetry group that defines the anisotropy of the constitutive function...

REGULAR PAPERS Local Features Based Image Sequence Retrieval Xiang Fu and Jie-xian Zeng Utility Maximization Model for Deep Web Source Selection and Integration Xuefeng Xian, Zhiming Cui, Pengpeng Zhao, Yuanfeng Yang, and Guangming Zhang Research on Programming Algorithm of Trajectory for Hypersonic Vehicles Based on Particle Swarm Optimization Chuanfeng Li, Yongji Wang, Lingling Tang, and Zong...