A two-dimensional (2-D) polynomial regression model is set up to approximate the time-frequency response of slowly time-varying orthogonal frequency-division multiplexing (OFDM) systems. With this model the estima...A two-dimensional (2-D) polynomial regression model is set up to approximate the time-frequency response of slowly time-varying orthogonal frequency-division multiplexing (OFDM) systems. With this model the estimation of the OFDM time-frequency response is turned into the optimization of some time-invariant model parameters. A new algorithm based on the expectation-maximization (EM) method is proposed to obtain the maximum-likelihood (ML) estimation of the polynomial model parameters over the 2-D observed data. At the same time, in order to reduce the complexity and avoid the computation instability, a novel recursive approach (RPEMTO) is given to calculate the values of the parameters. It is further shown that this 2-D polynomial EM-based algorithm for time-varying OFDM (PEMTO) can be simplified mathematically to handle the one-dimensional sequential estimation. Simulations illustrate that the proposed algorithms achieve a lower bit error rate (BER) than other blind algorithms.展开更多
Two dimensional parabolic stability equations (PSE) are numerically solved using expansions in orthogonal functions in the normal direction.The Chebyshev polynomials approximation,which is a very useful form of ortho...Two dimensional parabolic stability equations (PSE) are numerically solved using expansions in orthogonal functions in the normal direction.The Chebyshev polynomials approximation,which is a very useful form of orthogonal expansions, is applied to solving parabolic stability equations. It is shown that results of great accuracy are effectively obtained.The availability of using Chebyshev approximations in parabolic stability equations is confirmed.展开更多
The correspondence analysis will describe elemental association accompanying an indicator samples.This analysis indicates strong mineralization of Ag,As,Pb,Te,Mo,Au,Zn and to a lesser extent S,W,Cu at Glojeh polymetal...The correspondence analysis will describe elemental association accompanying an indicator samples.This analysis indicates strong mineralization of Ag,As,Pb,Te,Mo,Au,Zn and to a lesser extent S,W,Cu at Glojeh polymetallic mineralization,NW Iran.This work proposes a backward elimination approach(BEA)that quantitatively predicts the Au concentration from main effects(X),quadratic terms(X2)and the first order interaction(Xi×Xj)of Ag,Cu,Pb,and Zn by initialization,order reduction and validation of model.BEA is done based on the quadratic model(QM),and it was eliminated to reduced quadratic model(RQM)by removing insignificant predictors.During the QM optimization process,overall convergence trend of R2,R2(adj)and R2(pred)is obvious,corresponding to increase in the R2(pred)and decrease of R2.The RQM consisted of(threshold value,Cu,Ag×Cu,Pb×Zn,and Ag2-Pb2)and(Pb,Ag×Cu,Ag×Pb,Cu×Zn,Pb×Zn,and Ag2)as main predictors of optimized model according to288and679litho-samples in trenches and boreholes,respectively.Due to the strong genetic effects with Au mineralization,Pb,Ag2,and Ag×Pb are important predictors in boreholes RQM,while the threshold value is known as an important predictor in the trenches model.The RQMs R2(pred)equal74.90%and60.62%which are verified by R2equal to73.9%and60.9%in the trenches and boreholes validation group,respectively.展开更多
Six types of termites' baits (cartoon, rough tissues, soft toilet tissues, acacia wood, saw dust of building wood and sackcloth) were elicited variable degree of attraction toward Anacanthotermes ochaceus, where th...Six types of termites' baits (cartoon, rough tissues, soft toilet tissues, acacia wood, saw dust of building wood and sackcloth) were elicited variable degree of attraction toward Anacanthotermes ochaceus, where the best one was cardboard, followed by soft and rough toilet tissue at mono-choice and multiple-choice tests. Chemical analysis showed that there were variations in the chemical constituents (lignin, cellulose, N, H and C) of the six baits studied. On the other hand, olfactory reactions of harvester termites toward eight volatile oils (four natural medical plants and four commercial terpines) were repellent, but the most repellent one was cineol and the least one was clove oil. The most tested oils were caused inhibition in feeding, except cedar wood. The most toxic oils were cineol followed by thymol.展开更多
Linear dispersion relation for linear wave and a Kadomtsev-Petviashvili (KP) equation for nonlinearwave are given for the unmagnetized two-ion-temperature cold dusty plasma with many different dust grain species.The n...Linear dispersion relation for linear wave and a Kadomtsev-Petviashvili (KP) equation for nonlinearwave are given for the unmagnetized two-ion-temperature cold dusty plasma with many different dust grain species.The numerical results of variations of linear dispersion with respect to the different dust size distribution are given.Moreover,how the amplitude,width,and propagation velocity of solitary wave vary vs different dust size distribution isalso studied numerically in this paper.展开更多
The compound KdV-type equation with nonlinear terms of any order is reduced to the integral form. Using the complete discrimination system for polynomial, its all possible exact traveling wave solutions are obtained. ...The compound KdV-type equation with nonlinear terms of any order is reduced to the integral form. Using the complete discrimination system for polynomial, its all possible exact traveling wave solutions are obtained. Among those, a lot of solutions are new.展开更多
In the present letter, we get the appropriate bilinear forms of (2 + 1)-dimensional KdV equation, extended (2 + 1)-dimensional shallow water wave equation and (2 + 1)-dimensional Sawada -Kotera equation in a ...In the present letter, we get the appropriate bilinear forms of (2 + 1)-dimensional KdV equation, extended (2 + 1)-dimensional shallow water wave equation and (2 + 1)-dimensional Sawada -Kotera equation in a quick and natural manner, namely by appling the binary Bell polynomials. Then the Hirota direct method and Riemann theta function are combined to construct the periodic wave solutions of the three types nonlinear evolution equations. And the corresponding figures of the periodic wave solutions are given. Furthermore, the asymptotic properties of the periodic wave solutions indicate that the soliton solutions can be derived from the periodic wave solutions.展开更多
In bi-directional three-node cooperation, one regenerative strategy with network coding and power optimization is proposed for system sum-rate under a total energy constraint. In this paper, the network coding and pow...In bi-directional three-node cooperation, one regenerative strategy with network coding and power optimization is proposed for system sum-rate under a total energy constraint. In this paper, the network coding and power optimization are applied to improve system sum-rate. But max-rain optimization problem in power allocation is a NP-hard problem. In high Signal-to-Noise Ratio regime, this NP-hard problem is transformed into constrained polynomial optimization problem, which can be computed in polynomial time. Although it is a suboptimal solution, numerical simulations show that this strategy enhances the system sum-rate up to 45% as compared to a traditional four-phase strategy, and up to 13% as compared to the three-phase strategy without power optimization.展开更多
Using a polynomial expansion method, the general exact solitary wave solution and singular one areconstructed for the non-linear KS equation. This approach is obviously applicable to a large variety of nonlinear evolu...Using a polynomial expansion method, the general exact solitary wave solution and singular one areconstructed for the non-linear KS equation. This approach is obviously applicable to a large variety of nonlinear evolution equation.展开更多
Malaysia is a multicultural, multireligious, and multiethnic country that is located in Southeast Asia. The social background of Malaysia as a multicultural state calls for the adoption of an alternative method to res...Malaysia is a multicultural, multireligious, and multiethnic country that is located in Southeast Asia. The social background of Malaysia as a multicultural state calls for the adoption of an alternative method to resolve community dispute which would offer solution and simultaneously promote harmonization in the society. Community mediation may be one of such alternative, if not the best method for interethnic relations. The government of Malaysia has introduced community mediation in Malaysia by providing training for community mediators through a pilot program, known as Rukun Tetangga (Peaceful Neighbor). The purpose of this program is to promote unity among the multi-races and multiethnic citizens. This paper will refer to the current practice of community mediation in Malaysia as provided by the National Unity Department in Peninsula Malaysia and the practice of community mediation in Singapore. It is hoped that by comparing the practices in both countries, suggestions and recommendations could be made to improve the practice of community mediation in Malaysia.展开更多
The central composite design in the modeling and optimization of catalytic dehydration of ethanol to ethylene was performed to improve the ethylene yield.A total of 20 experiments at random were conducted to investiga...The central composite design in the modeling and optimization of catalytic dehydration of ethanol to ethylene was performed to improve the ethylene yield.A total of 20 experiments at random were conducted to investigate the effect of reaction temperature,Si/Al ratios of H-ZSM-5 catalyst and liquid hourly space velocity(LHSV) on the ethylene yield.The results show that the relationship between ethylene yield and the three significant independent variables can be approximated by a nonlinear polynomial model,with R-squared of 99.9%and adjusted R-squared of 99.8%.The maximal response for ethylene yield is 93.4%under the optimal condition of 328 ℃,Si/Al ratio 85,and LHSV 3.8 h-1.展开更多
In freeform surface modelling, developable surfaces have much application value. But, in 3D space, there is not always a regular developable surface which interpolates the given boundary of an arbitrary piecewise smoo...In freeform surface modelling, developable surfaces have much application value. But, in 3D space, there is not always a regular developable surface which interpolates the given boundary of an arbitrary piecewise smooth closed curve. In this paper, tensor product Bézier surfaces interpolating the closed curves are determined and the resulting surface is a minimum of the functional defined by the L2-integral norm of the Gaussian curvature. The Gaussian curvature of the surfaces is minimized by the method of solving nonlinear optimization problems. An improved approach trust-region form method is proposed. A simple application example is also given.展开更多
L-(+)-lactic acid production was studied by immobilized Lactobacillus rhamnosus TISTR108 on crude pectin from Krung Kha Mao (Cissampelospareira L.) leaves. Central composite design was employed to determine the m...L-(+)-lactic acid production was studied by immobilized Lactobacillus rhamnosus TISTR108 on crude pectin from Krung Kha Mao (Cissampelospareira L.) leaves. Central composite design was employed to determine the maximum lactic acid production of 45.40 g/L in predicted model (Y = 43.98 - 2.43X1 + 1.02X2 + 2.96X3 - 8.72X1^2 - 3.99X2^2 - 1.74X3^2) with the factors at 5.9 of cultural medium pH, 37.6 ℃ of process temperature and 202 rpm of liquid agitation. Statistical analyses demonstrated very high significance for the regression model fitted the data adequately and explained the lactic acid production, since the F-value computed 54.89 was much higher than the tabulated F-value 2.08 for the lactic acid production at 5% level for linear and quadratic polynomial regression models. The highest experimental lactic acid production was 46.91 g/L at 72 h of fermentation.展开更多
We sttidy the problem of scheduling n jobs on m parallel bounded batch machines to minimize the sum of squared machine loads. Each batch contains at most B jobs, and the processing time of a batch is equal to the long...We sttidy the problem of scheduling n jobs on m parallel bounded batch machines to minimize the sum of squared machine loads. Each batch contains at most B jobs, and the processing time of a batch is equal to the longest processing time of the jobs in this batch. We prove this problem to be NP-hard. Furthermore, we present a polynomial time approximation scheme (PTAS) and a fully polynomial time approximation scheme (FPTAS) for this problem.展开更多
In case of restrictive defense budget financing, efficient and effective use of funds is now more than ever becoming a crucial question in functioning of the Ministry of Defense and Serbian Armed Forces (MoD and SAF...In case of restrictive defense budget financing, efficient and effective use of funds is now more than ever becoming a crucial question in functioning of the Ministry of Defense and Serbian Armed Forces (MoD and SAF). Any investment in acquisition of arms and military equipment (AME) due to financial significance does not allow mistakes in decision making. Qualitative analysis of cost of assets through the entire programmed lifecycle is a complex multi-disciplinary and multi-criteria problem whose solving requires application of the model multi-criteria optimization. In our operational practice thus far, solving the said problems there wasn't enough the model multi-criteria optimization so the optimal results were lacking. In this paper investment process of AME in the MoD and SAF was analyzed, from the point of cost treatment in the process, its flaws have been pointed out and a more comprehensive - integrated approach has been suggested.展开更多
In this paper, we propose a new variation of the Adomian polynomials, which we call the degenerate Adomian polynomials, for the power series solutions of nonlinear ordinary differential equations with nonseparable non...In this paper, we propose a new variation of the Adomian polynomials, which we call the degenerate Adomian polynomials, for the power series solutions of nonlinear ordinary differential equations with nonseparable nonlinearities. We establish efficient algorithms for the degenerate Adomian polynomials. Next we compare the results by the Adomian decomposition method using the classic Adomian polynomials with the results by the Rach-Adomian-Meyers modified decomposition method incorporating the degenerate Adomian polynomials, which itself has been shown to be a confluence of the Adomian decomposition method and the power series method. Convergence acceleration techniques including the diagonal Pade approximants are considered, and new numeric algorithms for the multistage decomposition are deduced using the degenerate Adomian polynomials. Our new technique provides a significant advantage for automated calculations when computing the power series form of the solution for nonlinear ordinary differential equations. Several expository examples are investigated to demonstrate its reliability and efficiency.展开更多
基金The National Natural Science Foundation of China(No60472026)
文摘A two-dimensional (2-D) polynomial regression model is set up to approximate the time-frequency response of slowly time-varying orthogonal frequency-division multiplexing (OFDM) systems. With this model the estimation of the OFDM time-frequency response is turned into the optimization of some time-invariant model parameters. A new algorithm based on the expectation-maximization (EM) method is proposed to obtain the maximum-likelihood (ML) estimation of the polynomial model parameters over the 2-D observed data. At the same time, in order to reduce the complexity and avoid the computation instability, a novel recursive approach (RPEMTO) is given to calculate the values of the parameters. It is further shown that this 2-D polynomial EM-based algorithm for time-varying OFDM (PEMTO) can be simplified mathematically to handle the one-dimensional sequential estimation. Simulations illustrate that the proposed algorithms achieve a lower bit error rate (BER) than other blind algorithms.
文摘Two dimensional parabolic stability equations (PSE) are numerically solved using expansions in orthogonal functions in the normal direction.The Chebyshev polynomials approximation,which is a very useful form of orthogonal expansions, is applied to solving parabolic stability equations. It is shown that results of great accuracy are effectively obtained.The availability of using Chebyshev approximations in parabolic stability equations is confirmed.
基金support of the IMIDRO(Iranian Mines and Mining Industries Development & Renovation Organization) for our research
文摘The correspondence analysis will describe elemental association accompanying an indicator samples.This analysis indicates strong mineralization of Ag,As,Pb,Te,Mo,Au,Zn and to a lesser extent S,W,Cu at Glojeh polymetallic mineralization,NW Iran.This work proposes a backward elimination approach(BEA)that quantitatively predicts the Au concentration from main effects(X),quadratic terms(X2)and the first order interaction(Xi×Xj)of Ag,Cu,Pb,and Zn by initialization,order reduction and validation of model.BEA is done based on the quadratic model(QM),and it was eliminated to reduced quadratic model(RQM)by removing insignificant predictors.During the QM optimization process,overall convergence trend of R2,R2(adj)and R2(pred)is obvious,corresponding to increase in the R2(pred)and decrease of R2.The RQM consisted of(threshold value,Cu,Ag×Cu,Pb×Zn,and Ag2-Pb2)and(Pb,Ag×Cu,Ag×Pb,Cu×Zn,Pb×Zn,and Ag2)as main predictors of optimized model according to288and679litho-samples in trenches and boreholes,respectively.Due to the strong genetic effects with Au mineralization,Pb,Ag2,and Ag×Pb are important predictors in boreholes RQM,while the threshold value is known as an important predictor in the trenches model.The RQMs R2(pred)equal74.90%and60.62%which are verified by R2equal to73.9%and60.9%in the trenches and boreholes validation group,respectively.
文摘Six types of termites' baits (cartoon, rough tissues, soft toilet tissues, acacia wood, saw dust of building wood and sackcloth) were elicited variable degree of attraction toward Anacanthotermes ochaceus, where the best one was cardboard, followed by soft and rough toilet tissue at mono-choice and multiple-choice tests. Chemical analysis showed that there were variations in the chemical constituents (lignin, cellulose, N, H and C) of the six baits studied. On the other hand, olfactory reactions of harvester termites toward eight volatile oils (four natural medical plants and four commercial terpines) were repellent, but the most repellent one was cineol and the least one was clove oil. The most tested oils were caused inhibition in feeding, except cedar wood. The most toxic oils were cineol followed by thymol.
基金Supported by the National Natural Science Foundation of China under Grant No.10875082the Natural Science Foundation of Gansu Province under Grant No.3ZS061-A25-013the Natural Science Foundation of Northwest Normal University under Grant No.NWNUKJCXGC-03-17,03-48
文摘Linear dispersion relation for linear wave and a Kadomtsev-Petviashvili (KP) equation for nonlinearwave are given for the unmagnetized two-ion-temperature cold dusty plasma with many different dust grain species.The numerical results of variations of linear dispersion with respect to the different dust size distribution are given.Moreover,how the amplitude,width,and propagation velocity of solitary wave vary vs different dust size distribution isalso studied numerically in this paper.
基金The project supported by Scientific Reseaxch Fund of Education Department of Heilongjiang Province of China under Grant No. 11511008
文摘The compound KdV-type equation with nonlinear terms of any order is reduced to the integral form. Using the complete discrimination system for polynomial, its all possible exact traveling wave solutions are obtained. Among those, a lot of solutions are new.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11075055,61021004,10735030Shanghai Leading Academic Discipline Project under Grant No.B412Program for Changjiang Scholars and Innovative Research Team in University(IRT0734)
文摘In the present letter, we get the appropriate bilinear forms of (2 + 1)-dimensional KdV equation, extended (2 + 1)-dimensional shallow water wave equation and (2 + 1)-dimensional Sawada -Kotera equation in a quick and natural manner, namely by appling the binary Bell polynomials. Then the Hirota direct method and Riemann theta function are combined to construct the periodic wave solutions of the three types nonlinear evolution equations. And the corresponding figures of the periodic wave solutions are given. Furthermore, the asymptotic properties of the periodic wave solutions indicate that the soliton solutions can be derived from the periodic wave solutions.
基金Supported by the High Technology Research and Development Program of China (No. 2006AA01Z282 2007CB310608)
文摘In bi-directional three-node cooperation, one regenerative strategy with network coding and power optimization is proposed for system sum-rate under a total energy constraint. In this paper, the network coding and power optimization are applied to improve system sum-rate. But max-rain optimization problem in power allocation is a NP-hard problem. In high Signal-to-Noise Ratio regime, this NP-hard problem is transformed into constrained polynomial optimization problem, which can be computed in polynomial time. Although it is a suboptimal solution, numerical simulations show that this strategy enhances the system sum-rate up to 45% as compared to a traditional four-phase strategy, and up to 13% as compared to the three-phase strategy without power optimization.
文摘Using a polynomial expansion method, the general exact solitary wave solution and singular one areconstructed for the non-linear KS equation. This approach is obviously applicable to a large variety of nonlinear evolution equation.
文摘Malaysia is a multicultural, multireligious, and multiethnic country that is located in Southeast Asia. The social background of Malaysia as a multicultural state calls for the adoption of an alternative method to resolve community dispute which would offer solution and simultaneously promote harmonization in the society. Community mediation may be one of such alternative, if not the best method for interethnic relations. The government of Malaysia has introduced community mediation in Malaysia by providing training for community mediators through a pilot program, known as Rukun Tetangga (Peaceful Neighbor). The purpose of this program is to promote unity among the multi-races and multiethnic citizens. This paper will refer to the current practice of community mediation in Malaysia as provided by the National Unity Department in Peninsula Malaysia and the practice of community mediation in Singapore. It is hoped that by comparing the practices in both countries, suggestions and recommendations could be made to improve the practice of community mediation in Malaysia.
基金Supported by National Natural Science Foundation of China(No.70671072)
文摘The central composite design in the modeling and optimization of catalytic dehydration of ethanol to ethylene was performed to improve the ethylene yield.A total of 20 experiments at random were conducted to investigate the effect of reaction temperature,Si/Al ratios of H-ZSM-5 catalyst and liquid hourly space velocity(LHSV) on the ethylene yield.The results show that the relationship between ethylene yield and the three significant independent variables can be approximated by a nonlinear polynomial model,with R-squared of 99.9%and adjusted R-squared of 99.8%.The maximal response for ethylene yield is 93.4%under the optimal condition of 328 ℃,Si/Al ratio 85,and LHSV 3.8 h-1.
文摘In freeform surface modelling, developable surfaces have much application value. But, in 3D space, there is not always a regular developable surface which interpolates the given boundary of an arbitrary piecewise smooth closed curve. In this paper, tensor product Bézier surfaces interpolating the closed curves are determined and the resulting surface is a minimum of the functional defined by the L2-integral norm of the Gaussian curvature. The Gaussian curvature of the surfaces is minimized by the method of solving nonlinear optimization problems. An improved approach trust-region form method is proposed. A simple application example is also given.
文摘L-(+)-lactic acid production was studied by immobilized Lactobacillus rhamnosus TISTR108 on crude pectin from Krung Kha Mao (Cissampelospareira L.) leaves. Central composite design was employed to determine the maximum lactic acid production of 45.40 g/L in predicted model (Y = 43.98 - 2.43X1 + 1.02X2 + 2.96X3 - 8.72X1^2 - 3.99X2^2 - 1.74X3^2) with the factors at 5.9 of cultural medium pH, 37.6 ℃ of process temperature and 202 rpm of liquid agitation. Statistical analyses demonstrated very high significance for the regression model fitted the data adequately and explained the lactic acid production, since the F-value computed 54.89 was much higher than the tabulated F-value 2.08 for the lactic acid production at 5% level for linear and quadratic polynomial regression models. The highest experimental lactic acid production was 46.91 g/L at 72 h of fermentation.
文摘We sttidy the problem of scheduling n jobs on m parallel bounded batch machines to minimize the sum of squared machine loads. Each batch contains at most B jobs, and the processing time of a batch is equal to the longest processing time of the jobs in this batch. We prove this problem to be NP-hard. Furthermore, we present a polynomial time approximation scheme (PTAS) and a fully polynomial time approximation scheme (FPTAS) for this problem.
文摘In case of restrictive defense budget financing, efficient and effective use of funds is now more than ever becoming a crucial question in functioning of the Ministry of Defense and Serbian Armed Forces (MoD and SAF). Any investment in acquisition of arms and military equipment (AME) due to financial significance does not allow mistakes in decision making. Qualitative analysis of cost of assets through the entire programmed lifecycle is a complex multi-disciplinary and multi-criteria problem whose solving requires application of the model multi-criteria optimization. In our operational practice thus far, solving the said problems there wasn't enough the model multi-criteria optimization so the optimal results were lacking. In this paper investment process of AME in the MoD and SAF was analyzed, from the point of cost treatment in the process, its flaws have been pointed out and a more comprehensive - integrated approach has been suggested.
文摘In this paper, we propose a new variation of the Adomian polynomials, which we call the degenerate Adomian polynomials, for the power series solutions of nonlinear ordinary differential equations with nonseparable nonlinearities. We establish efficient algorithms for the degenerate Adomian polynomials. Next we compare the results by the Adomian decomposition method using the classic Adomian polynomials with the results by the Rach-Adomian-Meyers modified decomposition method incorporating the degenerate Adomian polynomials, which itself has been shown to be a confluence of the Adomian decomposition method and the power series method. Convergence acceleration techniques including the diagonal Pade approximants are considered, and new numeric algorithms for the multistage decomposition are deduced using the degenerate Adomian polynomials. Our new technique provides a significant advantage for automated calculations when computing the power series form of the solution for nonlinear ordinary differential equations. Several expository examples are investigated to demonstrate its reliability and efficiency.