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 角变量
 angle variable
 Using such method as the angle variable of quantum function, the author of this thesis proves that the models of quantum antiferromagnets and O(3) non linear σ are equal and from this equality, draws several important inferences about the model of quantum antiferromagnets. 应用量子作用角变量等方法证明了量子反铁磁体模型与O（3）非线性σ模型有相等性，并由此相等性，得出有关量子反铁磁体模型的几个重要推论 短句来源 A CAD system for a high class of machanism is developed based on the analysis of the kinematics high class mechanisms by angle variable's approxmation. 根据角变量逼近法对高级机构进行了运动分析,研制了高级机构运动分析CAD系统,介绍了开发平台和主界面,讨论了程序开发的一些技术处理. 短句来源
 angle variables
 An approximate method, which seperates the attitude angle variables from the variables of elastic deformation of dynamic equations, is proposed in order to simplify the calculation and to consider the damping effect of the elastic structures conveniently. 提出一种能使方程组中姿态角变量与弹性形变量相分离的近似方法,以简化计算并有利于考虑弹性结构的阻尼效应。 短句来源 One of the hermitian expressions of the momentum operator in curvilinear coordinates is adopted, and the general uncertainty relation is derived for the generalized conjugate quantity Pair (q1, P1 ). Then the result is analysed and discussed, and the problem raised while applying the commonly uncertainty expression to angle variables is solved. 本文取用曲线坐标下动量算符的一种厄密形式,导出了对于广义共轭量对(p_1)普遍适用的测不准关系式并对其结果进行分析与讨论,解决了常见形式用于角变量时出现的困难。 短句来源 By using the generalized Melnikov functions,transversal theory and singular perturbation theory,the conditions of persistence and transversality of homoclinic and heteroclinic orbits for singular perturbation system which has saddle\|center type equilibrium with a reaonance about action\|angle variables are discussed. 利用推广的Melnikov函数、横截性理论及奇摄动理论 ,对具有鞍 -中心型奇点的带有角变量的奇摄动系统 ,在角变量频率产生共振的情况下 ,讨论其同宿、异缩轨道的扰动下保存和横截的条件 . 短句来源
 angular variable
 THE UNCERTAINTY RELATION OF ANGULAR VARIABLE AND ANGULAR MOMENTUM 角变量ψ和角动量L_z的不确定关系 短句来源 The Henmtian condition of angular momentum operator Lz, the commutationrelation and the uncertainty relation of angular variable and angular momentum are discussed. 本文阐述角动量算符Lz的厄米性条件，讨论角变量ψ和角动量Lz的对易关系和不确定关系等。 短句来源
 “角变量”译为未确定词的双语例句
 A Modularized Method for Determining Kinematic Analysis of Complex Mechanisms 用角变量逼近法对高级机构进行运动分析 短句来源 While for time-like geodesics of the NT-like spacetime, by using Killing vectors, we obtain the equation for the surface of a cone which restricts the motion of the test particle, and ones for the angular variables describing its behavior in the special case. 关于NT-like时空的类时测地线，利用Killing矢量，得到了限制粒子运动的锥面方程和角变量满足的方程，并证明了角变量满足的方程在一般情况也成立； 计算了有效势的极值点，即圆形轨道的准确位置，讨论了引力磁单极对圆形轨道位置的影响； 短句来源 Here we introduced the following concepts: Hamiltonian system, conservative Hamiltonian system, first integral, Poisson bracket, symplectic matrix, symplectic map, integrable system and action-angle variable. These concepts are all very useful in this article, so it is necessary to explain them in advance. 文中简要叙述了以下概念：哈密顿系统，保守哈密顿系统，首次积分，泊松括号，辛矩阵，辛映射，可积系统和作用角变量，这些都是论文中涉及到的有用概念，因此有必要首先解释清楚。 短句来源 A computer program system has been developed to manipulate the operations (addition,multiplication,differentiation,integration and so on) of Poisson series of the (1,10) type, S_(1,10)=A_i,(j_1l_1+J_2l_2+……+j_(10)l_(10)) where numerical coefficients A_(i,j) are floating-point numbers. 本文介绍在电子计算机上处理(1,10)型泊松级数(含1个多项式变量,10个角变量)的一种方法,并在 TQ—6机上用 BCY 语言建立了一个级数运算和管理的程序系统。 短句来源 In this paper, a lower-order singular BEM based on original BEM is presented by introduccing a new variable of angle. In the new method, kernel of force is the same as kernel of displacement which is only singularity of InR ( R is the distance between a source and a field point ) . 本文所提出的低阶奇异性边界单元法,是以传统的边界单元法为基础,通过引入一个新的角变量,致使力的核函数由原来l/r的阶奇异性,降低为与位移核函数一样,仅具有Inr阶奇异性(r是场点与源点之间的距离)。 短句来源 更多

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 angle variable
 An extension of the recent work of Judge on establishing a correct uncertainty relation between orbital angular momentum and the corresponding angle variable is presented. In this paper, the authors develop new global perturbation techniques for detecting the persistence of transversal homoclinic orbits in a more general nondegenerated system with action-angle variable. We show that the third (distant) vortex induces a geometric phase in the relative angle variable between the two nearby vortices. For the geometric interpretation, we introduce a 1-form γ defined on the plane and show that the phase θg in the appropriate angle variable can be constructed by taking the contour integral of this 1-form over the closed vortex path. Nonlinear biological oscillators: Action-angle variable approach with an application to Cowan's model of neuroelectric activity 更多
 angle variables
 In the undisturbed formulation of the problem, i.e., at ε = 0 and μ = 0, these variables are the action-angle variables. In the vicinity of the main resonance, the action-angle variables are introduced and an equation of the variation of action is composed. The ray dynamics is investigated using the Hamiltonian formalism expressed in terms of the canonical action-angle variables. These characteristic equations are derived through a number of successive simplifications from a general linearized system of equations, including the collisionless Boltzmann kinetic equation and the Poisson equation (in action-angle variables). Then, the canonical change of variables is done with the help of the generating function; in the case of a homogeneous field, this results in the action-angle variables. 更多
 angular variable
 Results are given in the form of a universal function of the mean number of scatterings and of a suitable reduced angular variable. Our approach is based on a reduction to invariant closed subspaces of $$L^2_{\sigma}(\Omega)$$ and on a Fourier series expansion with respect to an angular variable in a cylindrical coordinate system attached to the axis of rotation. Energy, charge and strangeness flow inK+p interactions at 32 and 70 GeV/c, and π+p interactions at 32 GeV/c are studied in terms of the angular variable λ=|x|/pT. Model., 9 (2003) 135) are reduced to the complete orthonormal sets of hyperspherical harmonics (HSH) by means of a Fock transformation of the radial momentum to an angular variable. However, a fundamental decomposition formula is obtained which shows thatam is expressible algebraically in terms of functions of a single angular variable. 更多
 A computer program system has been developed to manipulate the operations (addition,multiplication,differentiation,integration and so on) of Poisson series of the (1,10) type, S_(1,10)=A_i,(j_1l_1+J_2l_2+……+j_(10)l_(10)) where numerical coefficients A_(i,j) are floating-point numbers.For the series including both sine and cosine terms,this system can save the storage space and reduce the computing time greatly. 本文介绍在电子计算机上处理(1,10)型泊松级数(含1个多项式变量,10个角变量)的一种方法,并在 TQ—6机上用 BCY 语言建立了一个级数运算和管理的程序系统。本系统适用于一般的半数值半分析方法展开,对于同时含有正、余弦项的级数运算,特别节省贮存空间和运算时间。 The elasticity of structures is considered and the influence of the eccentricity of control wheels on the attitude motion of a three-axis stabilized earth synchronized satellite with a solar array is discussed in this paper. The dynamic equations of the system are formulated by use of the new method developed by Kane. An approximate method, which seperates the attitude angle variables from the variables of elastic deformation of dynamic equations, is proposed in order to simplify the calculation and to consider... The elasticity of structures is considered and the influence of the eccentricity of control wheels on the attitude motion of a three-axis stabilized earth synchronized satellite with a solar array is discussed in this paper. The dynamic equations of the system are formulated by use of the new method developed by Kane. An approximate method, which seperates the attitude angle variables from the variables of elastic deformation of dynamic equations, is proposed in order to simplify the calculation and to consider the damping effect of the elastic structures conveniently. The analytical expressions of the forced oscillation of the attitude angles caused by the eccentricity of wheels are derived, and the amplitude-frequency response curves of the attitude angles are obtained by the numerical calculation. 本文考虑结构弹性,讨论控制飞轮的偏心对带太阳翼的三轴稳定地球同步卫星姿态运动的影响。使用Kane提出的新方法,建立系统的动力学方程组。提出一种能使方程组中姿态角变量与弹性形变量相分离的近似方法,以简化计算并有利于考虑弹性结构的阻尼效应。导出飞轮偏心引起的姿态角强迫振动的解析表达式,并进行数值计算给出各姿态角的幅频响应曲线。 On the basis of the method of action-angle variables the conditions of closed orbits under the action of general power—type gravitation potential are discussed on this paper. By method it is unnecessary to assume that the initial orbit is near to a circular orbit. Form of gravitation potential can be extented to the inverse proportional force field and other power force field. The discrimination formula of the closed orbits is given. Finally, if the central force contains an r~(-2) term and an r~(-3) term, as... On the basis of the method of action-angle variables the conditions of closed orbits under the action of general power—type gravitation potential are discussed on this paper. By method it is unnecessary to assume that the initial orbit is near to a circular orbit. Form of gravitation potential can be extented to the inverse proportional force field and other power force field. The discrimination formula of the closed orbits is given. Finally, if the central force contains an r~(-2) term and an r~(-3) term, as provided by relativistic corrections, then the orbit is closed and is in the form of a precessing ellipse. Finally the precessing angular velocity of the ellipse is calculated. 本文采用作用角变量的方法,讨论了闭合轨道在一般幂次型引力势作用下的情况。采用这种方法时,初始轨道接近于圃轨道的假设是不必要的,而且引力势的形式可以推广到平方反比力场和其它幂次力场。文中给出了轨道闭合的判别公式。若中心力包括r~(-2)项和r~(-3)项时,即相对论校正情况,则轨道闭合成为旋进椭圆;它的旋进角速度可以计算出来。 << 更多相关文摘
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