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Search Results: 1 - 10 of 78272 matches for " Qiufan Chen "
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Loop Virasoro Lie Conformal Algebra
Henan Wu,Qiufan Chen,Xiaoqing Yue
Mathematics , 2013, DOI: 10.1063/1.4862683
Abstract: The Lie conformal algebra of loop Virasoro algebra, denoted by $\mathscr{CW}$, is introduced in this paper. Explicitly, $\mathscr{CW}$ is a Lie conformal algebra with $\mathbb{C}[\partial]$-basis $\{L_i\,|\,i\in\mathbb{C}\}$ and $\lambda$-brackets $[L_i\, {}_\lambda \, L_j]=(-\partial-2\lambda) L_{i+j}$. Then conformal derivations of $\mathscr{CW}$ are determined. Finally, rank one conformal modules and $\mathbb{Z}$-graded free intermediate series modules over $\mathscr{CW}$ are classified.
Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras
Qiufan Chen,Jianzhi Han,Yucai Su
Mathematics , 2014,
Abstract: In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Virasoro algebras. In particular,the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined.
A new class of infinite rank Z-graded Lie conformal algebras
Guangzhe Fan,Qiufan Chen,Jianzhi Han
Mathematics , 2014,
Abstract: In this paper, we construct a new class of infinite rank $\Z$-graded Lie conformal algebra, denoted by $CW(a,c)$. And $CW(a,c)$ contains the loop Virasoro Lie conformal algebra and a Block type Lie conformal algebra. $CW(a,c)$ has a $\C[\partial]$-basis $\{L_{\a}\,|\,{\a}\in\Z\}$ and $\lambda$-brackets $[L_{\a}\, {}_\lambda \, L_{\b}]=((a\a+c)\partial+(a(\a+\b)+2c)\lambda) L_{\a+\b}$, where $\a,\b\in\Z$, $a,c\in\C$. Then the associated Lie algebra $W(a,c)$ is studied, where $W(a,c)$ has a basis $\{L_{\a,i}\,|\,\a,\,\b,i,j\in\Z\}$ over $\C$ and Lie brackets $[L_{\a,i},L_{\b,j}]=(a(\b(i+1)-\a(j+1))+c(i-j))L_{\a+\b,i+j}$, where $\a,\b,i,j\in\Z$, $a,c\in\C$. Clearly, we find that $W(a,c)$ is also a new class of infinite dimensional $\Z$-graded Lie algebras. In particular, the conformal derivations of $CW(a,c)$ are determined. Finally, rank one conformal modules over $CW(a,c)$ are classified
Research on the Incentive Mechanism of Hidilao Hotpot’s Employees Based on Grounded Theory  [PDF]
Chen Chen
Journal of Human Resource and Sustainability Studies (JHRSS) , 2018, DOI: 10.4236/jhrss.2018.61031
Abstract: The traditional classical incentive model only reveals the general rule of organizational incentive, and does not give specific operation rules. The matching between organizational incentives and employee needs is still black box, and it does not reveal its core operation mechanism from the perspective of mechanism. This paper took through the literature review, the Hidilao Hotpot company as a case study, through a variety of ways to collect data, the use of grounded theory to encode data analysis, and ultimately extracted 58 concepts, 26 sub-areas, 7 main areas, concluded that the Hidilao Hotpot Employee motivation formed the path, and ultimately extracted the micro-level employee motivation mechanism model. The research result of this article comes from the practice of the enterprise, which has enlightenment to the organizational incentive of the traditional catering industry and also provides a micro-research perspective and systematic mechanism research for the incentive field.
Digital Image Watermarking Based on Mixed Error Correcting Code  [PDF]
Yonghong Chen, Jiancong Chen
Journal of Information Security (JIS) , 2012, DOI: 10.4236/jis.2012.32018
Abstract: In this paper, we present a novel technique based on a mixed Error Correcting Code(ECC)-the convolutional code and the repetition code to enhance the robustness of the embedded watermark. Before embedding, the binary watermark is scanned to one-dimension sequence and later inputted into the (3, 1, 2) convolutional encoder and (3, 1) repetition encoder frame by frame, which will improve the error correcting capability of decoder. The output code sequence is scanned to some matrixes as the new watermark messages. The watermarking is selected in low frequency band of the Discrete Wavelet Transform (DWT) and therefore it can resist the destruction of image processing. Experimental results are presented to demonstrate that the robustness of a watermark with mixed ECC is much higher than the traditional one just with repetition coding while suffering JPEG lossy compression, salt and pepper noise and center cutting processing.
Operator Equation and Application of Variation Iterative Method  [PDF]
Ning Chen, Jiqian Chen
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.38127
Abstract: In this paper, we study some semi-closed 1-set-contractive operators A and investigate the boundary conditions under which the topological degrees of 1-set contractive fields, deg (I-A, Ω, p) are equal to 1. Correspondingly, we can obtain some new fixed point theorems for 1-set-contractive operators which extend and improve many famous theorems such as the Leray-Schauder theorem, and operator equation, etc. Lemma 2.1 generalizes the famous theorem. The calculation of topological degrees and index are important things, which combine the existence of solution of for integration and differential equation and or approximation by iteration technique. So, we apply the effective modification of He’s variation iteration method to solve some nonlinear and linear equations are proceed to examine some a class of integral-differential equations, to illustrate the effectiveness and convenience of this method.
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations  [PDF]
Ning Chen, Jiqian Chen
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.312263
Abstract: In this paper, the authors study the blow-up of solution for a class of nonlinear Schrodinger equation for some initial boundary problem. On the other hand, the authors give out some analyses and that new conclusion by Eigen-function method. In last section, the authors check the nonlinear parameter for light rule power by using of parameter method to get ground state and excite state correspond case, and discuss the global attractor of some fraction order case, and combine numerical test. To illustrate this physics meaning in dimension d = 1, 2 case. So, by numerable solution to give out these wave expression.
Some Approximation in Cone Metric Space and Variational Iterative Method  [PDF]
Ning Chen, Jiqian Chen
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.312276
Abstract: In this paper, we give some new results of common fixed point theorems and coincidence point case for some iterative method. By using of variation iteration method and an effective modification of He’s variation iteration method discusses some integral and differential equations, we give out some new conclusion and more new examples.
Photoconductive Effect of Liquid and Utilization of Solar Energy  [PDF]
Ziwei Chen, Shihao Chen
Open Journal of Physical Chemistry (OJPC) , 2014, DOI: 10.4236/ojpc.2014.41003

Experiments described in this paper show that there is the photoconductive effect of liquid, i.e. when light shines into a sort of alkali, acid or salt solution, the conductivity of the solution will increase. The mechanism of the effect is explained as follows. When hydrated ions in the solution absorb photons with their high enough energies, they will decompose to naked ions and water-molecules. The naked ions can reach an anode or a cathode more easily and faster than the hydrated ions; It is possible that when a molecule in the solution absorbs a photon with its high enough energy, it will decompose to negative and positive ions. Based on the effect, a device producing hydrogen by the solar-energy had been devised.

The Shell Model of the Universe: A Universe Generated from Multiple Big Bangs  [PDF]
Tower Chen, Zeon Chen
Journal of Modern Physics (JMP) , 2016, DOI: 10.4236/jmp.2016.77062
Abstract: The Current Standard Model of the Universe asserts that the universe is generated from a single Big Bang event followed by inflation. There is no center to this universe, hence, no preferential reference frame to describe the motions of celestial objects. We propose a new, Shell Model of the Universe, which contends that the universe is created from multiple, concentric big bangs. Accordingly, that origin presents itself as a unique, preferential reference frame, which furnishes the simplest description of the motions of galaxies in the cosmos. This is similar in manner to how planetary motion is more straightforwardly described via a sun-centered Solar System rather than an earth-centered one. The appeal of the Shell Model of the Universe lies in its simplistic ability to resolve the paradox of quasars, explain the variability in Hubble’s Constant, and solve the problematic accelerated expansion of the universe.
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