This research work investigates the use of Artificial Neural Network (ANN) based on models for solving first and second order linear constant coefficient ordinary differential equations with initial conditions. In par...This research work investigates the use of Artificial Neural Network (ANN) based on models for solving first and second order linear constant coefficient ordinary differential equations with initial conditions. In particular, we employ a feed-forward Multilayer Perceptron Neural Network (MLPNN), but bypass the standard back-propagation algorithm for updating the intrinsic weights. A trial solution of the differential equation is written as a sum of two parts. The first part satisfies the initial or boundary conditions and contains no adjustable parameters. The second part involves a feed-forward neural network to be trained to satisfy the differential equation. Numerous works have appeared in recent times regarding the solution of differential equations using ANN, however majority of these employed a single hidden layer perceptron model, incorporating a back-propagation algorithm for weight updation. For the homogeneous case, we assume a solution in exponential form and compute a polynomial approximation using statistical regression. From here we pick the unknown coefficients as the weights from input layer to hidden layer of the associated neural network trial solution. To get the weights from hidden layer to the output layer, we form algebraic equations incorporating the default sign of the differential equations. We then apply the Gaussian Radial Basis function (GRBF) approximation model to achieve our objective. The weights obtained in this manner need not be adjusted. We proceed to develop a Neural Network algorithm using MathCAD software, which enables us to slightly adjust the intrinsic biases. We compare the convergence and the accuracy of our results with analytic solutions, as well as well-known numerical methods and obtain satisfactory results for our example ODE problems.展开更多
With the reform of rural network enterprise system,the speed of transfer property rights in rural power enterprises is accelerated.The evaluation of the operation and development status of rural power enterprises is d...With the reform of rural network enterprise system,the speed of transfer property rights in rural power enterprises is accelerated.The evaluation of the operation and development status of rural power enterprises is directly related to the future development and investment direction of rural power enterprises.At present,the evaluation of the production and operation of rural network enterprises and the development status of power network only relies on the experience of the evaluation personnel,sets the reference index,and forms the evaluation results through artificial scoring.Due to the strong subjective consciousness of the evaluation results,the practical guiding significance is weak.Therefore,distributed data mining method in rural power enterprises status evaluation was proposed which had been applied in many fields,such as food science,economy or chemical industry.The distributed mathematical model was established by using principal component analysis(PCA)and regression analysis.By screening various technical indicators and determining their relevance,the reference value of evaluation results was improved.Combined with statistical program for social sciences(SPSS)data analysis software,the operation status of rural network enterprises was evaluated,and the rationality,effectiveness and economy of the evaluation was verified through comparison with current evaluation results and calculation examples of actual grid operation data.展开更多
Based on some language testing theories, an analysis of an English Mid-term Examination of grade eight students of Jingzhi Middle School is made in this paper. By means of SPSS （Statistical Package for the Social Sci...Based on some language testing theories, an analysis of an English Mid-term Examination of grade eight students of Jingzhi Middle School is made in this paper. By means of SPSS （Statistical Package for the Social Sciences） statistical software, the paper makes a whole analysis of the test paper, which covers descriptive statistics, reliability, and validity. The study aims to find some problems of the test paper, teachers＇ teaching, and students＇ learning. Thus, based on the results of analysis, this paper aims to improve the quality of test papers and give some advice to language teaching展开更多
Chinese traditional shadow play has been selected into the List of Intangible Cultural Heritage in 2011.Yet,reflecting abundant national cultural values,such traditional art form is degenerating and fading out from pe...Chinese traditional shadow play has been selected into the List of Intangible Cultural Heritage in 2011.Yet,reflecting abundant national cultural values,such traditional art form is degenerating and fading out from people’s sight.As the earliest statistical analysis software,Statistical Package for the Social Science(SPSS)is comprehensive in analyzing and managing statistical data.This study explores the application of SPSS in minimizing the workload of researchers while raising the validity of data in supporting the analysis of the survey data which reflected the inheritance and development of Chinese traditional shadow play in schools.展开更多
全面集成化的制造企业信息系统需要多样化、敏捷化的统计过程控制(Statistical Process Control,SPC)系统,以实现基于数据的产品质量管理决策。基于领域分析构造了SPC领域模型,设计了基于通用统计分析软件平台的可重构SPC系统框架,以具...全面集成化的制造企业信息系统需要多样化、敏捷化的统计过程控制(Statistical Process Control,SPC)系统,以实现基于数据的产品质量管理决策。基于领域分析构造了SPC领域模型,设计了基于通用统计分析软件平台的可重构SPC系统框架,以具有扩展点的组件化可重构架构满足制造企业应用模式和配置模式的可重构需求。然后采用SPSS(Statistical Package for the Social Science,社会科学统计软件包)实现了可重构SPC系统,通过引入SPSS组件,执行SPSS Syntax命令,实现对SPC的可视化统计分析。最后以加工误差分析实例说明系统的有效性,为全面质量控制提供了一种数字化应用。展开更多
Spss,是statistic program for science的简称,即社会科学统计程序的意思。spss的数据管理是(file)、数据(data)、转换(transform)借助于数据管理窗口和主窗口的文件等菜单完成的。本文使用spss软件包对我校广州生源班和外地生源班的学...Spss,是statistic program for science的简称,即社会科学统计程序的意思。spss的数据管理是(file)、数据(data)、转换(transform)借助于数据管理窗口和主窗口的文件等菜单完成的。本文使用spss软件包对我校广州生源班和外地生源班的学生的测试成绩统计分析所生成的各种统计量和图表。spss统计软件可以说是体育测试统计分析和体育教师得力的帮手。展开更多
为弥补定性分析建立的基础评价指标体系的不足，首次将因子分析法引用到指标体系的优化中。在确立基础指标体系的基础上，设计调查表，获得50家承制单位的基础指标项数据，利用系统分析软件SPSS（statistical program for social scien...为弥补定性分析建立的基础评价指标体系的不足，首次将因子分析法引用到指标体系的优化中。在确立基础指标体系的基础上，设计调查表，获得50家承制单位的基础指标项数据，利用系统分析软件SPSS（statistical program for social sciences）对数据进行因子分析。若数据相关性高，那么提炼出的主因子就是评估模型中的第二层指标；若数据相关性不高，则通过咨询专家确定评估指标。由此利用因子分析法优化指标体系，最终确立装备承制单位综合能力评估指标体系。展开更多
文摘This research work investigates the use of Artificial Neural Network (ANN) based on models for solving first and second order linear constant coefficient ordinary differential equations with initial conditions. In particular, we employ a feed-forward Multilayer Perceptron Neural Network (MLPNN), but bypass the standard back-propagation algorithm for updating the intrinsic weights. A trial solution of the differential equation is written as a sum of two parts. The first part satisfies the initial or boundary conditions and contains no adjustable parameters. The second part involves a feed-forward neural network to be trained to satisfy the differential equation. Numerous works have appeared in recent times regarding the solution of differential equations using ANN, however majority of these employed a single hidden layer perceptron model, incorporating a back-propagation algorithm for weight updation. For the homogeneous case, we assume a solution in exponential form and compute a polynomial approximation using statistical regression. From here we pick the unknown coefficients as the weights from input layer to hidden layer of the associated neural network trial solution. To get the weights from hidden layer to the output layer, we form algebraic equations incorporating the default sign of the differential equations. We then apply the Gaussian Radial Basis function (GRBF) approximation model to achieve our objective. The weights obtained in this manner need not be adjusted. We proceed to develop a Neural Network algorithm using MathCAD software, which enables us to slightly adjust the intrinsic biases. We compare the convergence and the accuracy of our results with analytic solutions, as well as well-known numerical methods and obtain satisfactory results for our example ODE problems.
基金Supported by Funding(2017RAXXJ075)from Harbin Applied Technology Research and Development Project
文摘With the reform of rural network enterprise system,the speed of transfer property rights in rural power enterprises is accelerated.The evaluation of the operation and development status of rural power enterprises is directly related to the future development and investment direction of rural power enterprises.At present,the evaluation of the production and operation of rural network enterprises and the development status of power network only relies on the experience of the evaluation personnel,sets the reference index,and forms the evaluation results through artificial scoring.Due to the strong subjective consciousness of the evaluation results,the practical guiding significance is weak.Therefore,distributed data mining method in rural power enterprises status evaluation was proposed which had been applied in many fields,such as food science,economy or chemical industry.The distributed mathematical model was established by using principal component analysis(PCA)and regression analysis.By screening various technical indicators and determining their relevance,the reference value of evaluation results was improved.Combined with statistical program for social sciences(SPSS)data analysis software,the operation status of rural network enterprises was evaluated,and the rationality,effectiveness and economy of the evaluation was verified through comparison with current evaluation results and calculation examples of actual grid operation data.
文摘Based on some language testing theories, an analysis of an English Mid-term Examination of grade eight students of Jingzhi Middle School is made in this paper. By means of SPSS （Statistical Package for the Social Sciences） statistical software, the paper makes a whole analysis of the test paper, which covers descriptive statistics, reliability, and validity. The study aims to find some problems of the test paper, teachers＇ teaching, and students＇ learning. Thus, based on the results of analysis, this paper aims to improve the quality of test papers and give some advice to language teaching
文摘Chinese traditional shadow play has been selected into the List of Intangible Cultural Heritage in 2011.Yet,reflecting abundant national cultural values,such traditional art form is degenerating and fading out from people’s sight.As the earliest statistical analysis software,Statistical Package for the Social Science(SPSS)is comprehensive in analyzing and managing statistical data.This study explores the application of SPSS in minimizing the workload of researchers while raising the validity of data in supporting the analysis of the survey data which reflected the inheritance and development of Chinese traditional shadow play in schools.
基金国家高技术研究发展计划(863)(the National High-Tech Research and Development Plan of China under Grant No.2007AA040503) 西安邮电学院中青年基金项目(No.105-0433)
文摘全面集成化的制造企业信息系统需要多样化、敏捷化的统计过程控制(Statistical Process Control,SPC)系统,以实现基于数据的产品质量管理决策。基于领域分析构造了SPC领域模型,设计了基于通用统计分析软件平台的可重构SPC系统框架,以具有扩展点的组件化可重构架构满足制造企业应用模式和配置模式的可重构需求。然后采用SPSS(Statistical Package for the Social Science,社会科学统计软件包)实现了可重构SPC系统,通过引入SPSS组件,执行SPSS Syntax命令,实现对SPC的可视化统计分析。最后以加工误差分析实例说明系统的有效性,为全面质量控制提供了一种数字化应用。
文摘Spss,是statistic program for science的简称,即社会科学统计程序的意思。spss的数据管理是(file)、数据(data)、转换(transform)借助于数据管理窗口和主窗口的文件等菜单完成的。本文使用spss软件包对我校广州生源班和外地生源班的学生的测试成绩统计分析所生成的各种统计量和图表。spss统计软件可以说是体育测试统计分析和体育教师得力的帮手。
文摘为弥补定性分析建立的基础评价指标体系的不足，首次将因子分析法引用到指标体系的优化中。在确立基础指标体系的基础上，设计调查表，获得50家承制单位的基础指标项数据，利用系统分析软件SPSS（statistical program for social sciences）对数据进行因子分析。若数据相关性高，那么提炼出的主因子就是评估模型中的第二层指标；若数据相关性不高，则通过咨询专家确定评估指标。由此利用因子分析法优化指标体系，最终确立装备承制单位综合能力评估指标体系。
