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基于对偶变数法求解二重积分的新方法
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作者 王永涓 敖东 《佳木斯大学学报(自然科学版)》 CAS 2011年第2期292-293,295,共3页
依据对偶变数法求定积分的理论,提出以减小用蒙特卡罗方法求定积分的方差为目的的求解二重积分的新方法,并通过一系列证明,证明该方法的正确性.最后通过数值模拟验证该方法对求解二重积分的精度明显高于其他的蒙特卡罗模拟方法.同时该... 依据对偶变数法求定积分的理论,提出以减小用蒙特卡罗方法求定积分的方差为目的的求解二重积分的新方法,并通过一系列证明,证明该方法的正确性.最后通过数值模拟验证该方法对求解二重积分的精度明显高于其他的蒙特卡罗模拟方法.同时该法的提出也对用数值计算求积分的精确性做出一定的贡献. 展开更多
关键词 蒙特卡罗方 对偶变数法 单调性 负相关
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变数筮法原理 被引量:1
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作者 王在华 《时代经贸》 2013年第6期240-242,245,共4页
筮法研究是现代易学发展的重要学术选题之一。变数筮法由甘肃学人王氏在提出变数论并完成创立变数易的基础上发现、规制而成,该法是现代易学研究在筮法理论方面的重大突破,其不同于任何一种已知或流行的传统筮法,而是开创了一个全新... 筮法研究是现代易学发展的重要学术选题之一。变数筮法由甘肃学人王氏在提出变数论并完成创立变数易的基础上发现、规制而成,该法是现代易学研究在筮法理论方面的重大突破,其不同于任何一种已知或流行的传统筮法,而是开创了一个全新的现代筮法流派,这必将推动传统文化咨询产业更加理性、规范、科学的发展。该文主要从概念、装卦、解卦、筮例等方面对变数筮法的原理、方法及应用进行了概要论述。 展开更多
关键词 易经 变数 变数 变数原理 现代易学
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基于拉丁超立方抽样的导弹快速精度分析与误差补偿方法 被引量:6
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作者 郝中军 扈晓翔 《兵工自动化》 2009年第6期23-25,共3页
针对导弹精度分析耗时长,补偿量计算与实际发射脱节的问题,提出一种快速计算导弹射击精度和误差补偿量的新方法。其将拉丁超立方抽样与对偶变数法相结合的抽样方法引入导弹精度分析,保证仿真精度的同时减少抽样次数。设计了拉丁超立方试... 针对导弹精度分析耗时长,补偿量计算与实际发射脱节的问题,提出一种快速计算导弹射击精度和误差补偿量的新方法。其将拉丁超立方抽样与对偶变数法相结合的抽样方法引入导弹精度分析,保证仿真精度的同时减少抽样次数。设计了拉丁超立方试验,并对导弹精度进行确定性仿真分析,得到导弹落点偏差与各制导工具误差系数的简化函数关系式,建立了导弹射前补偿量的快速计算公式。仿真实例表明该方法可以有效的缩减计算时间。 展开更多
关键词 拉丁超立方抽样 对偶变数法 试验设计 快速补偿
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本征函数法应用于矩形区域上稳定场问题
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作者 陆立柱 《太原师范学院学报(自然科学版)》 2003年第2期44-49,共6页
文章结合叠加原理 ,应用本征函数法研究矩形区域上稳定场问题 .这种方法综合了传统方法的优点 ,扩大了应用范围 ,改善了特解法的不足 .
关键词 本征函数 矩形区域 稳定场 特解 分离变数法 POISSON方程 边值问题 傅里叶系数
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变数易文献检索 被引量:3
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作者 王在华 《中外企业家》 2015年第2Z期266-269,共4页
变数易是现代易学研究的标志性成果之一,目前已形成独具特色、自成一体的系统文献资料。为便于查阅下载、传播交流、研究鉴评,本文从概述、论文、专著等方面综述了变数易的文献检索问题。
关键词 变数法 变数 甘肃王氏易学 金川易传
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Cross-section distortion and springback characteristics of double-cavity aluminum profile in force controlled stretch-bending
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作者 Zhi-wen LIU Zi-xuan DONG +2 位作者 Cong-chang XU Jie YI Luo-xing LI 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2024年第8期2476-2490,共15页
3D elastic-plastic FE model for simulating the force controlled stretch-bending process of double-cavity aluminum profile was established using hybrid explicit−implicit solvent method.Considering the computational acc... 3D elastic-plastic FE model for simulating the force controlled stretch-bending process of double-cavity aluminum profile was established using hybrid explicit−implicit solvent method.Considering the computational accuracy and efficiency,the optimal choices of numerical parameters and algorithms in FE modelling were determined.The formation mechanisms of cross-section distortion and springback were revealed.The effects of pre-stretching,post-stretching,friction,and the addition of internal fillers on forming quality were investigated.The results show that the stress state of profile in stretch-bending is uniaxial with only a circumferential stress.The stress distribution along the length direction of profile is non-uniform and the maximum tensile stress is located at a certain distance away from the center of profile.As aluminum profile is gradually attached to bending die,the distribution characteristic of cross-section distortion along the length direction of profile changes from V-shape to W-shape.After unloading the forming tools,cross-section distortion decreases obviously due to the stress relaxation,with a maximum distortion difference of 13%before and after unloading.As pre-stretching and post-stretching forces increase,cross-section distortion increases gradually,while springback first decreases and then remains unchanged.With increasing friction between bending die and profile,cross-section distortion slightly decreases,while springback increases.Cross-section distortion decreases by 83%with adding PVC fillers into the cavities of profile,while springback increases by 192.2%. 展开更多
关键词 hollow aluminum profile force controlled stretch-bending numerical parameters springback analysis approach cross-section distortion SPRINGBACK process parameters
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关于常数变易法求一阶线性非齐次微分方程通解的两点思考 被引量:2
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作者 汪维刚 《安庆师范学院学报(自然科学版)》 2012年第2期105-107,共3页
利用常数变易法求出的一阶线性非齐次微分方程的通解公式不严谨,产生的原因在于不恰当地使用不定积分取代定积分。审视常数变易法的"变易"过程,发现除此之外,"变数变易法"也是一种求一阶线性非齐次微分方程通解的... 利用常数变易法求出的一阶线性非齐次微分方程的通解公式不严谨,产生的原因在于不恰当地使用不定积分取代定积分。审视常数变易法的"变易"过程,发现除此之外,"变数变易法"也是一种求一阶线性非齐次微分方程通解的方法。 展开更多
关键词 一阶线性非齐次微分方程 通解 常数变易 增根 变数变易
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基于加权最小二乘拟蒙特卡罗的美式期权定价 被引量:11
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作者 杨海军 雷杨 《系统工程学报》 CSCD 北大核心 2008年第5期532-538,共7页
美式期权定价具有后向迭代搜索特征,在最小二乘拟蒙特卡罗模拟(least-squares quasi-Monte Carlo,LSM)方法的基础上,本文通过随机 Faure 序列以及对偶变数法增加抽样数目,达到减小模拟方差的目的,用其计算标的资产价格,然后用加权最小... 美式期权定价具有后向迭代搜索特征,在最小二乘拟蒙特卡罗模拟(least-squares quasi-Monte Carlo,LSM)方法的基础上,本文通过随机 Faure 序列以及对偶变数法增加抽样数目,达到减小模拟方差的目的,用其计算标的资产价格,然后用加权最小二乘法进行回归,得到了加权最小二乘拟蒙特卡罗(weighted least-squares quasi-Monte Carlo,WLSQM)方法.从期权价值、标准差、运行时间几个方面比较方法的优劣,得出WLSQM 方法比 LSM 方法估计效果更优的结果,验证了 WLSQM 方法在美式期权定价上的有效性. 展开更多
关键词 美式期权 加权最小二乘拟蒙特卡罗模拟 对偶变数法
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定解条件下均匀材料热传导的研究
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作者 樊东红 吴松平 杨雄珍 《贺州学院学报》 2008年第3期109-112,共4页
文章以一密度均匀的细杆为例,阐述了利用分离变数法求解均匀材料热传导的方法,利用数学软件Mathematica完成定解条件下热传导方程的微积分计算,并用绘图函数作图,分析稳态条件下的热传导的规律。
关键词 分离变数法 热传导 定解条件 温度.
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New Formulation for Arbitrary Cracks Problem and Its Stress Intensity Factor of Plane Elasticity 被引量:4
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作者 杨晓春 范天佑 刘士强 《Journal of Beijing Institute of Technology》 EI CAS 1999年第4期364-369,共6页
Aim The general arbitrary cracked problem in an elastic plane was discussed. Methods For the purpose of acquiring the solution of the problem, a new formulation on the problem was proposed. Compared with the classic... Aim The general arbitrary cracked problem in an elastic plane was discussed. Methods For the purpose of acquiring the solution of the problem, a new formulation on the problem was proposed. Compared with the classical plane elastic crack model, only the known conditions were revised in the new formulation, which are greatly convenient to solve the problem, and no other new condition was given. Results and Conclusion The general exact analytic solution is given here based on the formulation though the problem is very complicated. Furthermore, the stress intensity factors K Ⅰ, K Ⅱ of the problem are also given. 展开更多
关键词 complex variable function method general curve cracks Riemann Hilbert boundary value problem closed form solution stress intensity factors
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极板有缺陷的平行板电容器内的电场分布
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作者 王科 郑春龙 《丽水师范专科学校学报》 2004年第2期35-38,45,共5页
利用分离变数(傅里叶级数)法和势的拉普拉斯方程分别讨论带有半圆柱形凸出疤和半球形凸出疤两种缺陷的平行板电容器内电场分布;通过对疤上电量的计算,从电荷分布的微观解释出发,得出一些有益的结论。
关键词 极板 平行板电容器 电场分布 拉普拉斯方程 分离变数法
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Method of variation of parameters for solving a constrained Birkhoffian system
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作者 张毅 《Journal of Southeast University(English Edition)》 EI CAS 2013年第3期342-345,共4页
For an in-depth study on the integration problem of the constrained mechanical systems the method of integration for the Birkhoffian system with constraints is discussed and the method of variation of parameters for s... For an in-depth study on the integration problem of the constrained mechanical systems the method of integration for the Birkhoffian system with constraints is discussed and the method of variation of parameters for solving the dynamical equations of the constrained Birkhoffian system is provided.First the differential equations of motion for the constrained Birkhoffian system as well as for the corresponding free Birkhoffian system are established.Secondly a system of auxiliary equations is constructed and the general solution of the equations is found.Finally by varying the parameters and utilizing the properties of the generalized canonical transformation of the Birkhoffian system the solution of the problem can be obtained.The proposed method reveals the inherent relationship between the solution of a free Birkhoffian system and that of a constrained Birkhoffian system. The research results are of universal significance which can be further used in a variety of constrained mechanical systems such as non-conservative systems and nonholonomic systems etc. 展开更多
关键词 Birkhoffian mechanics method of integration method of variation of parameter constrained Birkhoffian system
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一端外力激励下弦振动定解问题的适定性研究
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作者 肖世发 杨惠敏 张道清 《高等数学研究》 2022年第4期63-65,88,共4页
论文给出了一端外力激励下弦振动的适定性定解问题描述及其解,讨论定解条件的匹配性问题.
关键词 弦振动问题 边界条件齐次化 分离变数法 适定性
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GLOBAL CONVERGENCE OF A CLASS OF OPTIMALLY CONDITIONED SSVM METHODS
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作者 杨正方 夏爱生 +1 位作者 韩立兴 刘光辉 《Transactions of Tianjin University》 EI CAS 1997年第1期73-76,共4页
This paper explores the convergence of a class of optimally conditioned self scaling variable metric (OCSSVM) methods for unconstrained optimization. We show that this class of methods with Wolfe line search are glob... This paper explores the convergence of a class of optimally conditioned self scaling variable metric (OCSSVM) methods for unconstrained optimization. We show that this class of methods with Wolfe line search are globally convergent for general convex functions. 展开更多
关键词 optimally conditioned self scaling variable metric methods global convergence unconstrained optimization
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ESPRIT-Based Feature Extraction of Helicopter Acoustic Signal
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作者 周忠来 栗苹 +1 位作者 郑链 施聚生 《Journal of Beijing Institute of Technology》 EI CAS 1999年第1期8-14,共7页
Aim To extract harmonic frequencies of helicopter acoustic signal as features for hel icopter identification. Methods Estimation of signal parameters via rotational invariance techniques(ESPRIT) was selected to ext... Aim To extract harmonic frequencies of helicopter acoustic signal as features for hel icopter identification. Methods Estimation of signal parameters via rotational invariance techniques(ESPRIT) was selected to extract harmonic frequencies from really measured helicopter acoustic signal and an algorithm based on the SVD TLS was used. Results ESPRIT correctly extracted harmonic frequencies of helicopter using the data of limited length under the variousflight conditions. Conclusion ESPRIT is an effective method of extracting harmonic frequencies and using harmonic frequencies of helicopter acoustic signal to recognize helicopter is feasible. 展开更多
关键词 HELICOPTER acoustic signal harmonic frequencies ESPRIT feature extraction
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APPLICATION OF 2-D MOIRE INTERFEROMETRYOF STICKING FILM IN HUMAN TIBIA MEASUREMENT
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作者 张桂琴 羡若凯 《Transactions of Tianjin University》 EI CAS 1999年第1期68-71,共4页
This paper makes use of the method of testing and measuring the human body tibia by using2-D moire interferometry of sticking film. hased on the J'--y direction moire patterns recorded synchronously by 2-D optical... This paper makes use of the method of testing and measuring the human body tibia by using2-D moire interferometry of sticking film. hased on the J'--y direction moire patterns recorded synchronously by 2-D optical path,the elastic constant,strain and displacement of the tibia are measured.Compared with the electric measuring method the error is samll and the sensitivity is high. 展开更多
关键词 2-D moire interferometry of sticking film elastic constant strain and displacement
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A new approach for selecting best development face ventilation mode based on G1-coefficient of variation method 被引量:13
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作者 ZHOU Zhi-yong Mehmet KIZIL +1 位作者 CHEN Zhong-wei CHEN Jian-hong 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第10期2462-2471,共10页
The current popular methods for decision making and project optimisation in mine ventilation contain a number of deficiencies as they are solely based on either subjective knowledge or objective information.This paper... The current popular methods for decision making and project optimisation in mine ventilation contain a number of deficiencies as they are solely based on either subjective knowledge or objective information.This paper presents a new approach to rank the alternatives by G1-coefficient of variation method.The focus of this approach is the use of the combination weighing,which is able to compensate for the deficiencies in the method of evaluation index single weighing.In the case study,an appropriate evaluation index system was established to determine the evaluation value of each ventilation mode.Then the proposed approach was used to select the best development face ventilation mode.The result shows that the proposed approach is able to rank the alternative development face ventilation mode reasonably,the combination weighing method had the advantages of both subjective and objective weighing methods in that it took into consideration of both the experience and wisdom of experts,and the new changes in objective conditions.This approach provides a more reasonable and reliable procedure to analyse and evaluate different ventilation modes. 展开更多
关键词 development face ventilation G1 method coefficient of variation method comprehensive evaluation OPTIMIZATION
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Chemical Property Variation Trend Analysis and Quality Evaluation of Water in Wei River
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作者 邱小香 卢爱刚 《Agricultural Science & Technology》 CAS 2015年第11期2555-2559,共5页
[Objective] Water quality variation trend of Wei River was analyzed and the water quality evaluation was performed in this study. [Method] Stationing and water sampling were conducted along Wei River at three differen... [Objective] Water quality variation trend of Wei River was analyzed and the water quality evaluation was performed in this study. [Method] Stationing and water sampling were conducted along Wei River at three different sites during the 12 months from January to December of 2014, the water samples were pre-treated and analyzed on chemical pollution indexes with the national standard, water quality data of Wei River in the 12 months was processed with periodic time series method, Spearman rank correlation coefficient was adopted to test pollution changing trend, and water quality status of Wei water was evaluated with integrated index of organic pollution. [Result] NH3-N and TN of Wei River exceeded the standard's lim- its; [ Y~ [ 〉Wp=0.506, [ Yss~ [ 〉Wp=0.506 and [ Y&=0~,, Diecqieo 〉Wp=0.506 indicated that the integrated index of organic pollution of Shawangdu section, S.huyuan section and Tongguan Diaoqiao section showed a significant downtrend, respetively; and the water quality of the three sections became better, and it was worth noting that it was necessary to strengthen the water quality control of Wei River from January to June, so as to ensure that the water quality of Wei River reached the standard all the time. [Cendasien] This research was of significance in improving water ecological environment in Weinan as well as rationally utilizing water resources and finally realizing permanent development. Key words Wei River; Water quality variation trend; Integrated index of organic pollution; Evaluation 展开更多
关键词 Wei River Water-quality variation trend Integrated index of organicpollution EVALUATION
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Fractal Dromion,Fractal Lump,and Multiple peakon Excitations in a New (2+1)—Dimensional Long Dispersive Wave SYstem 被引量:2
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作者 ZHENGChun-Long ZHANGJie-Fang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第3期261-266,共6页
By means of variable separation approach, quite a general excitation of the new (2 + 1)-dimensional long dispersive wave system: is derived. Some types of the usual localized excitations such as dromions, lumps, ring... By means of variable separation approach, quite a general excitation of the new (2 + 1)-dimensional long dispersive wave system: is derived. Some types of the usual localized excitations such as dromions, lumps, rings, and oscillating soliton excitations can be easily constructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localized excitations like fractal-dromion, fractal-lump, and multi-peakon excitations of this new system are found by selecting appropriate functions. 展开更多
关键词 variable separation approach new (2+1)-dimensional long dispersive wave system fractal localized structure peakon excitation
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Numerical simulation of the effect of coupling support of bolt-mesh-anchor in deep tunnel 被引量:18
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作者 SUN Xiao-ming CAI Feng +1 位作者 YANG Jun CAO Wu-fu 《Mining Science and Technology》 EI CAS 2009年第3期352-357,共6页
The mechanical effects of bolt-mesh-anchor coupling support in deep tunnels were studied by using a numerical method, based on deep tunnel coupling supporting techniques and non-linear deformation mechanical theory of... The mechanical effects of bolt-mesh-anchor coupling support in deep tunnels were studied by using a numerical method, based on deep tunnel coupling supporting techniques and non-linear deformation mechanical theory of rock mass at great depths.It is shown that the potential of a rigid bolt support can be efficiently activated through the coupling effect between a bolt-net support and the surrounding rock.It is found that the accumulated plastic energy in the surrounding rock can be sufficiently transformed by the coupling effect of a bolt-mesh-tray support.The strength of the surrounding rock mass can be mobilized to control the deforma-tion of the surrounding rock by a pre-stress and time-space effect of the anchor support.The high stress transformation effect can be realized by the mechanical coupling effect of the bolt-mesh-anchor support, whereby the force of the support and deformation of the surrounding rock tends to become uniform, leading to a sustained stability of the tunnel. 展开更多
关键词 mining engineering deep tunnel non-linear large deformation mechanics bolt-mesh-anchor support coupling support effect
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