An entirely new framework is established for developing various single- and multi-step formulations for the numerical integration of ordinary differential equations. Besides polynomials, unconventional base-functions ...An entirely new framework is established for developing various single- and multi-step formulations for the numerical integration of ordinary differential equations. Besides polynomials, unconventional base-functions with trigonometric and exponential terms satisfying different conditions are employed to generate a number of formulations. Performances of the new schemes are tested against well-known numerical integrators for selected test cases with quite satisfactory results. Convergence and stability issues of the new formulations are not addressed as the treatment of these aspects requires a separate work. The general approach introduced herein opens a wide vista for producing virtually unlimited number of formulations.展开更多
目的:检验三维坚毅量表(Triarchic Model of Grit Scale,TMGS)在军校学员中的信度和效度。方法:采用三维坚毅量表、大五人格量表、学习倦怠量表、积极消极情绪体验量表和生活满意度量表对1213名军校学员施测。结果:三维坚毅量表项目区...目的:检验三维坚毅量表(Triarchic Model of Grit Scale,TMGS)在军校学员中的信度和效度。方法:采用三维坚毅量表、大五人格量表、学习倦怠量表、积极消极情绪体验量表和生活满意度量表对1213名军校学员施测。结果:三维坚毅量表项目区分度良好。探索性因素分析得到3个公因子,累计方差贡献率为69.622%。探索性图分析检测出3个维度,检测频率为0.99,支持三维坚毅量表的3维结构。验证性因素分析显示三维度模型拟合良好(χ^(2)/df=2.858,SRMR=0.045,RMSEA=0.062,CFI=0.971,AIC=110.000,ECVI=0.231)。三维坚毅量表中文版的Cronbach'sα系数为0.845,兴趣的一致性、坚持不懈的努力和适应性3个维度的Cronbach'sα系数分别为0.762,0.895和0.798。重测信度为0.752。三维坚毅量表与生活满意度、积极情绪体验、外倾性、宜人性、开放性和尽责性呈显著正相关,与消极情绪体验、学习倦怠和神经质呈显著负相关。结论:三维坚毅量表具有良好的信度和效度,可以作为军校学员坚毅的有效测量工具。展开更多
文摘An entirely new framework is established for developing various single- and multi-step formulations for the numerical integration of ordinary differential equations. Besides polynomials, unconventional base-functions with trigonometric and exponential terms satisfying different conditions are employed to generate a number of formulations. Performances of the new schemes are tested against well-known numerical integrators for selected test cases with quite satisfactory results. Convergence and stability issues of the new formulations are not addressed as the treatment of these aspects requires a separate work. The general approach introduced herein opens a wide vista for producing virtually unlimited number of formulations.
文摘目的:检验三维坚毅量表(Triarchic Model of Grit Scale,TMGS)在军校学员中的信度和效度。方法:采用三维坚毅量表、大五人格量表、学习倦怠量表、积极消极情绪体验量表和生活满意度量表对1213名军校学员施测。结果:三维坚毅量表项目区分度良好。探索性因素分析得到3个公因子,累计方差贡献率为69.622%。探索性图分析检测出3个维度,检测频率为0.99,支持三维坚毅量表的3维结构。验证性因素分析显示三维度模型拟合良好(χ^(2)/df=2.858,SRMR=0.045,RMSEA=0.062,CFI=0.971,AIC=110.000,ECVI=0.231)。三维坚毅量表中文版的Cronbach'sα系数为0.845,兴趣的一致性、坚持不懈的努力和适应性3个维度的Cronbach'sα系数分别为0.762,0.895和0.798。重测信度为0.752。三维坚毅量表与生活满意度、积极情绪体验、外倾性、宜人性、开放性和尽责性呈显著正相关,与消极情绪体验、学习倦怠和神经质呈显著负相关。结论:三维坚毅量表具有良好的信度和效度,可以作为军校学员坚毅的有效测量工具。