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非完整系统Appell方程的保辛算法研究
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作者 张可心 解加芳 《动力学与控制学报》 2024年第6期11-15,共5页
本文利用待定张量法对非完整系统Appell方程进行Birkhoff化,并根据生成函数的构造原理确定生成函数,给出Birkhoff辛格式,最后通过具体的Appell方程算例进行理论验证和仿真模拟,从一定程度上说明了保辛算法随着时间演变更具有效性和优越性.
关键词 非完整系统 APPELL方程 保辛算法
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On the Changes of Chinese Appellation Since 1949
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作者 盛玉同 《海外英语》 2015年第17期205-206,共2页
As a component of language,Chinese address terms plays equally important roles with other parts of language in dailylife.The following analyses try to focus on the changes of Chinese Appellation since"the foundin... As a component of language,Chinese address terms plays equally important roles with other parts of language in dailylife.The following analyses try to focus on the changes of Chinese Appellation since"the founding of PRC"and discuss the factorsbehind them. 展开更多
关键词 CHANGES CHINESE appellation FACTORS
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Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion 被引量:4
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作者 解银丽 贾利群 罗绍凯 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第1期57-60,共4页
Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations i... Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented. The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity, deduced directly from the special Lie symmetry in a dynamical system of relative motion, are obtained. An example is given to illustrate the application of the results. 展开更多
关键词 dynamics of relative motion Appell equations special Lie symmetry Hojman conservedquantity
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Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations in Holonomic Systems with Unilateral Constraints 被引量:4
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作者 JIA Li-Qun ZHANG Yao-Yu +1 位作者 CUI Jin-Chao LUO Shao-Kai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第10期572-576,共5页
Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints are investigated. Appell equations and differential equations of motion for holonomi... Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints are investigated. Appell equations and differential equations of motion for holonomie mechanic systems with unilateral constraints axe established. The definition and the criterion of Mei symmetry for Appell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups axe also given. The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results. 展开更多
关键词 holonomic system with unilateral constraints Appell equation structural equation of Mei symmetry Mei conserved quantity
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A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints 被引量:3
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作者 贾利群 解银丽 +1 位作者 张耀宇 杨新芳 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第11期48-52,共5页
A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity ... A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results. 展开更多
关键词 unilateral constraint Appell equation Mei symmetry conserved quantity
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Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system of relative motion 被引量:3
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作者 张美玲 王肖肖 +1 位作者 韩月林 贾利群 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期17-21,共5页
Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system of relative motion are studied.The definition and criterion of the Mei symmetry of Appell equations for a variable mass ... Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system of relative motion are studied.The definition and criterion of the Mei symmetry of Appell equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups are given.The structural equation of Mei symmetry of Appell equations and the expression of Mei conserved quantity deduced directly from Mei symmetry for a variable mass holonomic system of relative motion are gained.Finally,an example is given to illustrate the application of the results. 展开更多
关键词 variable mass relative motion Appell equations Mei conserved quantity
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Conformal invariance and conserved quantities of Appell systems under second-class Mei symmetry 被引量:2
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作者 罗一平 傅景礼 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期100-105,共6页
In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinite... In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system's conformal invariance and Mei symmetry are discussed. And Appell system's conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result. 展开更多
关键词 second-class Mei symmetry conformal invariance conserved quantity Appell system
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Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system 被引量:2
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作者 崔金超 张耀宇 +1 位作者 杨新芳 贾利群 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第3期31-35,共5页
Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investi- gated. Appell equations and differential equations of motion for a variable mass holonomic system are estab... Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investi- gated. Appell equations and differential equations of motion for a variable mass holonomic system are established. A new expression of the total first derivative of the function with respect of time t along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are given. The expressions of the structural equation and Mei conserved quantity for Mei symmetry in Appell are obtained. An example is given to illustrate the application of the results. 展开更多
关键词 variable mass holonomic system Appell equation Mei symmetry Mei conserved quan-tity
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Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints 被引量:2
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作者 王肖肖 韩月林 +1 位作者 张美 贾利群 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第2期45-49,共5页
Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of... Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of the Appell equation for the system,the definition and criterion of Lie symmetry,the condition and the expression of generalized Hojman conserved quantity deduced from Lie symmetry for the system are obtained.The condition and the expression of Hojman conserved quantity deduced from special Lie symmetry for the system under invariable time are further obtained.An example is given to illustrate the application of the results. 展开更多
关键词 Chetaev-type nonholonomic constraints dynamics of relative motion Appell equation Lie symmetry
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Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system 被引量:1
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作者 贾利群 张美玲 +1 位作者 王肖肖 韩月林 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第7期32-36,共5页
A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic ... A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structural equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results. 展开更多
关键词 weakly nonholonomic system Appell equations form invariance approximate conservedquantity
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Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints 被引量:1
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作者 王肖肖 孙现亭 +2 位作者 张美玲 韩月林 贾利群 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第5期6-10,共5页
The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied.The differential equations of motion of the Appell equ... The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied.The differential equations of motion of the Appell equation for the system,the definition and the criterion of the Mei symmetry,and the expression of the Mei conserved quantity deduced directly from the Mei symmetry for the system are obtained.An example is given to illustrate the application of the results. 展开更多
关键词 non-Chetaev nonholonomic constrained system dynamics of relative motion Appell equation Mei conserved quantity
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A Comparative Analysis of the Chinese and English Appellation 被引量:1
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作者 WANG Lin 《海外英语》 2014年第5X期47-49,共3页
Appellation not only reflects the social relationship between human beings,but also shows the social structure and culture in different countries,regions and societies.This paper focuses on the comparison of appellati... Appellation not only reflects the social relationship between human beings,but also shows the social structure and culture in different countries,regions and societies.This paper focuses on the comparison of appellation in these two languages and analyses the reasons for this difference from cultural and psychological aspects. 展开更多
关键词 appellation KINSHIP TERMS TITLE short NAME
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Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism
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作者 F. Talamucci 《Journal of Applied Mathematics and Physics》 2015年第3期295-309,共15页
The main purpose of the paper consists in illustrating a procedure for expressing the equations of motion for a general time-dependent constrained system. Constraints are both of geometrical and differential type. The... The main purpose of the paper consists in illustrating a procedure for expressing the equations of motion for a general time-dependent constrained system. Constraints are both of geometrical and differential type. The use of quasi-velocities as variables of the mathematical problem opens the possibility of incorporating some remarkable and classic cases of equations of motion. Afterwards, the scheme of equations is implemented for a pair of substantial examples, which are presented in a double version, acting either as a scleronomic system and as a rheonomic system. 展开更多
关键词 Nonholonomous systemS Rheonomic Constraints Quasi-Velocites Appell and Boltzmann-Hamel EQUATIONS
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On Etymology of the Appellation“Da man-er”(大嫚儿)in Qingdao Dialect
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作者 Yanjun Wang 《Sociology Study》 2018年第5期207-212,共6页
The appellation to call a girl in Qingdao dialect is“da man‐er”(大嫚儿),which is supposed to derive from German word“Damen”phonetically,according to:(1)remarkable similarities in meaning,pronunciation,and consist... The appellation to call a girl in Qingdao dialect is“da man‐er”(大嫚儿),which is supposed to derive from German word“Damen”phonetically,according to:(1)remarkable similarities in meaning,pronunciation,and consistencies in commendatory or derogatory senses;(2)different preferences for people in different ages;and(3)the insertability of modifiers(adjectives or nouns)for“xiao man‐er”(小嫚儿)and the non‐insertability for“da man‐er”(大嫚儿).Therefore,nearly 100 years during the changing processes,“da man‐er”(大嫚儿)has a series of derivations commonly referring to the appellations of“girl”,such as“man‐er”(嫚儿),“man gu zi”(嫚姑子),“xiao man‐er”(小嫚儿)and even the formation of“xiao(小)+adj/n+man‐er”(嫚儿). 展开更多
关键词 DA man‐er(大嫚儿) appellation Qingdao DIALECT LEXICAL expatiation
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Popular Female Appellation: the Compare Study of "meinv" and "Xiao jiejie"
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作者 魏依 《海外英语》 2019年第12期111-112,共2页
Female appellations are changing with time,which has attracted many attention from scholars.In the last century,"xiaojie"was very popular.The word"xiaojie"was then replaced by"meinv"becau... Female appellations are changing with time,which has attracted many attention from scholars.In the last century,"xiaojie"was very popular.The word"xiaojie"was then replaced by"meinv"because of its negative images.Nowadays,with the development of network buzzwords,the word"Xiao jiejie"gradually come into the public eye.In this paper,I will compare these two female appellations"meinv"and"Xiao jiejie"from four aspects:the introduction of origin and population,the characteristics of word structures,target users,and the pragmatics effects. 展开更多
关键词 FEMALE appellation "Xiao jiejie" "meinv" COMPARE STUDY
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AN ALGEBRAIC APPROACH TO DEGENERATE APPELL POLYNOMIALS AND THEIR HYBRID FORMS VIA DETERMINANTS
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作者 Mumtaz RIYASAT Tabinda NAHID Subuhi KHAN 《Acta Mathematica Scientia》 SCIE CSCD 2023年第2期719-735,共17页
It is remarkable that studying degenerate versions of polynomials from algebraic point of view is not limited to only special polynomials but can also be extended to their hybrid polynomials.Indeed for the first time,... It is remarkable that studying degenerate versions of polynomials from algebraic point of view is not limited to only special polynomials but can also be extended to their hybrid polynomials.Indeed for the first time,a closed determinant expression for the degenerate Appell polynomials is derived.The determinant forms for the degenerate Bernoulli and Euler polynomials are also investigated.A new class of the degenerate Hermite-Appell polynomials is investigated and some novel identities for these polynomials are established.The degenerate Hermite-Bernoulli and degenerate Hermite-Euler polynomials are considered as special cases of the degenerate Hermite-Appell polynomials.Further,by using Mathematica,we draw graphs of degenerate Hermite-Bernoulli polynomials for different values of indices.The zeros of these polynomials are also explored and their distribution is presented. 展开更多
关键词 degenerate Bernoulli polynomials degenerate Appell polynomials determinant expressions degenerate hybrid Appell polynomials
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Obtaining Simply Explicit Form and New Properties of Euler Polynomials by Differential Calculus
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作者 Do Tan Si 《Applied Mathematics》 2023年第7期460-480,共21页
Utilization of the shift operator to represent Euler polynomials as polynomials of Appell type leads directly to its algebraic properties, its relations with powers sums;may be all its relations with Bernoulli polynom... Utilization of the shift operator to represent Euler polynomials as polynomials of Appell type leads directly to its algebraic properties, its relations with powers sums;may be all its relations with Bernoulli polynomials, Bernoulli numbers;its recurrence formulae and a very simple formula for calculating simultaneously Euler numbers and Euler polynomials. The expansions of Euler polynomials into Fourier series are also obtained;the formulae for obtaining all π<sup>m</sup> as series on k<sup>-m</sup> and for expanding functions into series of Euler polynomials. 展开更多
关键词 Obtaining Appell Type Euler Numbers and Polynomials Relations Euler-Bernoulli Polynomials Sums over km Series on k-m Euler Series of Functions
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Chetaev型非完整系统Appell方程Mei对称性的结构方程和Mei守恒量 被引量:6
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作者 崔金超 贾利群 杨新芳 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第2期70-73,共4页
研究Chetaev型非完整系统Appell方程Mei对称性的结构方程和Mei守恒量.建立Chetaev型非完整系统的Appell方程和系统的运动微分方程;给出函数沿系统运动轨道曲线对时间全导数的表示式,并在群的无限小变换下,给出Appell方程Mei对称性的定... 研究Chetaev型非完整系统Appell方程Mei对称性的结构方程和Mei守恒量.建立Chetaev型非完整系统的Appell方程和系统的运动微分方程;给出函数沿系统运动轨道曲线对时间全导数的表示式,并在群的无限小变换下,给出Appell方程Mei对称性的定义和判据;得到用Appell函数表示的Mei对称性的结构方程和Mei守恒量的表达式.举例说明结果的应用. 展开更多
关键词 APPELL方程 结构方程 MEI守恒量 Chetaev型非完整系统
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有多余坐标的完整系统Appell方程Mei对称性导致的一种新型守恒量 被引量:2
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作者 贾利群 孙现亭 +2 位作者 张耀宇 杨新芳 解银丽 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第6期57-60,共4页
研究有多余坐标的完整系统Appell方程Mei对称性导致的一种新型守恒量,包括与有多余坐标系统相应的完整系统和有多余坐标的完整系统的运动微分方程、系统Mei对称性的定义和判据、系统Appell方程Mei对称性导致的一种新型守恒量的形式.
关键词 多余坐标 APPELL方程 MEI对称性 新型守恒量
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电磁猝变动力学的几个基本概念 被引量:3
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作者 黄沛天 徐学翔 +1 位作者 马善钧 贺梅英 《科技导报》 CAS CSCD 2007年第3期74-77,共4页
对RL电路的一种暂态过程引入了急动度函数,还引入了感应电动势的时间变率、位移电流的时间变率和Appell函数等概念,讨论了LC振荡电路和简谐振动中的Appell函数守恒问题。
关键词 猝变动力学 急动度函数 感应电动势的时间变率 位移电流的时间变率 Appell函数
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