Hopf algebra concept of the early 1940s, the abstract algebraic topology home H.Hopf made on the basis of the work developed in the study of manifolds, since JWMilnor and JCMoore written entitled “On the structure of post-Hopf algebras” article published in 1965, Hopf algebra began as a branch of algebra...

We investigate the behavior of a Wiener integral along the path of the scale factor as a function of a parameter for the Wiener integral about complex valued measurable function defined on the Wiener space which is frequently used in Quantum Mechanics.

In this paper a new parameter estimation method is given in view of another common situation of exponential distribution (stipulate monitor time, in each monitor time observing the number of expired sample, namely do not observe exact time). The properties of this estimate is also discussed. Simulation...

Collocation method based on barycentric rational interpolation (BRICM) is used in this article to study axisymetric bending problems of circular thin plates in polar coordinates. Unknown function is approximated by barycentric rational interpolation and the discrete algebraic equations of differential...

It is well known that under certain orthogonal systems (such as Chebyshev tensor and Legendre polynomial space), the expansion coefficient of a smooth function has a sparseness that the coefficient with a finite number of coefficients after the first is gradually zero. For accurate sampling and sampling...

Recently, an IGA DG method (IGAODG) is developed to solve PDEs defined on the overlapped patches. With IGAODG, the time-consuming treatments for keeping the integration precision on the trimmed patches are avoided. In this paper, the IGAODG is extended with the incomplete interior penalty method (IIPG),...

IGA(IsoGeometric Analysis) is developed to integrate the CAD and FEA process. If the union operator is applied in the CAD process, the overlapped parts should be trimmed to carry out the analysis. Therefore, to keep the integration precision on the trimmed patches, some time-consuming algorithms should...

If the union operator is applied in the CAD process, the overlapped parts should be trimmed to carry out IGA(IsoGeometric Analysis), and the integration schemes to keep the integration precision on the trimmed patches are time consuming. In this paper, an IIPG (incomplete interior penalty method) is...

The primary short-circuited melted marks(PSMs) are caused by short circuits before the fire occurs, usually PSMs are direct evidences that relate to the causes of electrical fire. The metallographic methods are the most common scientific methods to analyze and identify PSMs. Presently metallographic...

JMCT is a general purpose 3D Mont Carlo (MC) neutron-photon-electron and coupled neutron/photon/electron transport code with a continuous energy and multigroup. The program is developed based on the combinatorial geometry parallel infrastructure JCOGIN and with the most functions of general Monte Carlo...

Based on the characteristics of fractal geometry theory and the reflection of Foshan in Jinan as a wedge, this paper quantitatively describes the shape of the overlooking interface of Foshan by calculating the fractal dimension of the overlooking interface. Combined with the city skyline dimension of...

In this paper, the generalized-node finite element (GFE) analysis method is presented to analyze the interaction between super-long pile and soil in soft soil. A nonlinear elastic-plastic constitutive model for concrete is employed to simulate stress-strain relation of pile shaft under the axial load....

This The problem of impulse analysis in the regular singular system is considered by using the Kronecker indices in this paper. Firstly, the singular system is divided into two cases: 1. The regular linear singular system. 2. The uniformly regular nonlinear singular system. Then, the two theorems that...

Numerical simulation on the liquid metal mangetohydrodynamic (MHD) flow is a very attractive way to study the MHD flow problems. The two-level radial point interpolation method is applied to study the fully developed MHD flow in this work. With the method, numerical simulations of the MHD flows at Hartmann...

In this paper, we used the method of detrended fluctuation analysis (DFA ) to study the self-similarity of MEG signals in the healthy subjects and the patients with depression. In the same negative emotional image stimulation, the DFA algorithm was used to calculate the scaling exponent of MEG signals...

This research was conducted to analyze the influence of process parameters on springback of S-shaped U-channel stamping for DP590. The test was designed using Taguchi test and results were analyzed according to analysis of variance (ANOVA). The process parameters analysed includes punch velocity, blank...

Background: Invasive fungal infection has become the most serious and urgent problem that needs to be solved in tertiary center in China. The aim of this retrospective cohort study was to clarify the pathogenesis and identify the high risk group of invasive fungal infection of premature infants in Chinese...

This paper first introduces the origin and application of probability theory, and puts forward the idea of letting the social hot spot application of probability theory penetrate into its teaching, then introduces the knowledge points commonly used in probability theory and the current social hot issues,...