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Search Results: 1 - 10 of 120144 matches for " Jinliang Wang "
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Fast Algorithm for the Travelling Salesman Problem and the Proof of P = NP  [PDF]
Jinliang Wang
Applied Mathematics (AM) , 2018, DOI: 10.4236/am.2018.912088
In the theory of computational complexity, the travelling salesman problem is a typical one in the NP class. With the aid of a brand-new approach named “maximum-deleting method”, a fast algorithm is constructed for it with a polynomial time of biquadrate, which greatly reduces the computational complexity. Since this problem is also NP-complete, as a corollary, P = NP is proved to be true. It indicates the crack of the well-known open problem named “P versus NP”.
The Predictive Effects of Online Communication on Well-Being among Chinese Adolescents  [PDF]
Jinliang Wang, Haizhen Wang
Psychology (PSYCH) , 2011, DOI: 10.4236/psych.2011.24056
Abstract: Based on theories and previous studies on online communication, we proposed two hypotheses to better under- stand the effects of online communication on subjective well-being with a sample of Chinese adolescents (n = 190). The results of liner regression analysis found that online communication was positively related to adoles- cents’ subjective well-being. For boys, the coefficient of determination of online communication on subjective well-being was .143, and for girls the coefficient of determination was .040, indicating that boys benefit more from online communication than do girls.
ESMD Method for Frequency Distribution of Tank Surface Temperature under Wind Effect  [PDF]
Jinliang Wang, Xianshui Fang
International Journal of Geosciences (IJG) , 2015, DOI: 10.4236/ijg.2015.65038
Abstract: Due to the poor understanding of the small-scale processes at the air-water interface, some lab experiments are done in a water tank by infrared techniques. With the help of ESMD method, the stochastic temperature sequences extracted from the infrared photographs are decomposed into several empirical modes of general periodic forms. The corresponding analyses on the modes reveal that, within certain limits, both spatial and temporal frequencies increase along the wind speed. As for the amplitudes, the existence of wind may result in fold increasing of their values. In addition, when the wind speed is added from 4 m/s to 5 m/s, both frequency and amplitude of the surface temperature decrease and it implies an enhanced mixing and a weakened temperature gradient under the force of wind blowing.
Reconstruct the Heat Conduction Model with Memory Dependent Derivative  [PDF]
Wenwen Sun, Jinliang Wang
Applied Mathematics (AM) , 2018, DOI: 10.4236/am.2018.99072
The classical heat conduction equation is derived from the assumption that the temperature increases immediately after heat transfer, but the increase of temperature is a slow process, so the memory-dependent heat conduction model has been reconstructed. Numerical results show that the solution of the initial boundary value problem of the new model is similar to that of the classical heat conduction equation, but its propagation speed is slower than that of the latter. In addition, the propagation speed of the former is also affected by time delay and kernel function.
Input and Output Passivity of Complex Dynamical Networks with General Topology
Jinliang Wang
Advances in Decision Sciences , 2010, DOI: 10.1155/2010/809481
Abstract: The input passivity and output passivity are investigated for a generalized complex dynamical network, in which the coupling may be nonlinear, time-varying, and nonsymmetric. By constructing some suitable Lyapunov functionals, some input and output passivity criteria are derived in form of linear matrix inequalities (LMIs) for complex dynamical network. Finally, a numerical example and its simulation are given to illustrate the efficiency of the derived results. 1. Introduction In the past few decades, the passivity theory provides a nice tool for analyzing the stability of systems and has found applications in diverse areas such as stability, complexity, signal processing, chaos control and synchronization, and fuzzy control. Many interesting results in linear and nonlinear systems have been derived (see [1–21]). Especially, the passivity of neural networks [5, 7, 11–13, 21] and fuzzy systems [6, 10, 16, 19] have been extensively investigated because of their great significance for both practical and theoretical purposes. Recently, the complex networks have been gaining increasing recognition as a fundamental tool in understanding dynamical behavior and the response of real systems across many fields of science and engineering. In particular, synchronization is one of the most significant and interesting dynamical properties of the complex networks which has been carefully studied [22–46]. However, few authors have considered the problem on the passivity of complex dynamical networks. Therefore, it is interesting to study the passivity of complex dynamical networks. It is well known that the power supply is an important role for stability analysis and controller synthesis of linear or nonlinear systems. Based on the concept of power supply, the input passivity is introduced. For instance, Chang et al. [19] dealt with developing the relaxed stability conditions for continuous-time affine Takagi-Sugeno (T-S) fuzzy models by applying the input passivity and Lyapunov theory. However, to the best of our knowledge, the intput passivity of complex dynamical networks with time-varying delays has not yet been established in the literature. Therefore, it is interesting to study input passivity of complex dynamical networks possessing general topology. As a natural extension of input passivity, we also introduce the output passivity in order to study dynamical behavior of complex networks much better. It should be pointed out that many literatures on the dynamical behavior of complex dynamical networks are considered under some simplified assumptions. For
RETRACTED: The Riemann Hypothesis Holds True: A Rigorous Proof with Mean Formula and Extremum Principle  [PDF]
Jinliang Wang
Applied Mathematics (AM) , 2019, DOI: 10.4236/am.2019.108049

Short Retraction Notice?

The paper does not meet the standards of \"Applied Mathematics\".?

This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.?

Editor guiding this retraction: Editorial Board of AM.?

Please see the article page for more details. The full retraction notice in PDF is preceding the original paper which is marked \"RETRACTED\".

Impact of group music therapy on the depression mood of college students  [PDF]
Jinliang Wang, Haizhen Wang, Dajun Zhang
Health (Health) , 2011, DOI: 10.4236/health.2011.33028
Abstract: The goal of this study was to examine the effects of group music therapy on depression and mental health among college students. 80 students participated in this study, with 40 assigned to control group and other 40 assigned to experimental group. The results showed that after the group music therapy, for the experimental group, the depression scores have reduced significantly and the mental health scores have improved, while for the control group, no significant difference was obtained on the de-pression and mental health scores. This indicates that group music therapy can effectively reduce depression and improve mental health.
Dual-Factor Model of Mental Health: Surpass the Traditional Mental Health Model  [PDF]
Xinqiang Wang, Dajun Zhang, Jinliang Wang
Psychology (PSYCH) , 2011, DOI: 10.4236/psych.2011.28117
Abstract: Aiming at the limitations of traditional mental health model, the dual-factor model of mental health (DFM) was proposed as a new idea under the background of positive psychology trend. According to the DFM, mental health is a complete state; subjective well-being should be included into the mental health evaluation system as a positive indictor; in terms of prevention and intervention, the DFM asserted that the decrease of symptoms is only the first step of intervention, and the improvement of subjective well-being should be followed, in order to achieve the complete mental health states and reduce the recurrence of illness. Finally, this paper put forward evaluation on DFM and its future research directions.
Decay Mode Solutions to (2 + 1)-Dimensional Burgers Equation, Cylindrical Burgers Equation and Spherical Burgers Equation  [PDF]
Xiangzheng Li, Jinliang Zhang, Mingliang Wang
Journal of Applied Mathematics and Physics (JAMP) , 2017, DOI: 10.4236/jamp.2017.55088
Abstract: Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended \"\"-expansion method, substituting the solutions obtained into the corresponding transformation of variables, the decay mode solutions of the three (2 + 1)-dimensional equations have been obtained successfully.
Global stability of a delay differential equation of hepatitis B virus infection with immune response
Jinliang Wang,Xinxin Tian
Electronic Journal of Differential Equations , 2013,
Abstract: The global stability for a delayed HBV infection model with CTL immune response is investigated. We show that the global dynamics is determined by two sharp thresholds, basic reproduction number $Re_0$ and CTL immune-response reproduction number $Re_1$. When $Re_0 leq 1$, the infection-free equilibrium is globally asymptotically stable, which means that the viruses are cleared and immune is not active; when $Re_1 leq 1 < Re_0$, the CTL-inactivated infection equilibrium exists and is globally asymptotically stable, which means that CTLs immune response would not be activated and viral infection becomes chronic; and when $Re_1 > 1$, the CTL-activated infection equilibrium exists and is globally asymptotically stable, in this case the infection causes a persistent CTLs immune response. Our model is formulated by incorporating a Cytotoxic T lymphocytes (CTLs) immune response to recent work [Gourley, Kuang, Nagy, J. Bio. Dyn., 2(2008), 140-153] to model the role in antiviral by attacking virus infected cells. Our analysis provides a quantitative understandings of HBV replication dynamics in vivo and has implications for the optimal timing of drug treatment and immunotherapy in chronic HBV infection.
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