轭

Adjoint function algorithms and direct collocation and nonlinear programming methods are applied to resolve the non-coplanar optimal orbit transfers problem.

分别利用了共轭函数法与直接配置和非线性规划方法对异面最优变轨问题进行了求解。

Associated with the notion of the transposed matrix is its complex conjugatx known to physicists as the adjoint matrix.

跟转置矩阵记号相联系的是它的复共轭矩阵，物理学家称之为伴矩阵。

We give the computing results of Maple programs by using the adjoint operator method.

利用共轭算子法和逐项消去法等规范形理论研究了含有三次非线性项的四维系统的规范形，给出了利用Maple符号推导程序所得到的计算结果。

In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.

对于 n阶一般的非线性动力系统，根据线性算子的不变子空间理论和共轭算子概念，提出一种计算其规范形的新的矩阵表示方法。

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先证明0是对应于该排队模型的主算子的几何重数为1的特征值，其次证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，然后证明0是该主算子共轭算子的特征值。

The adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities. We give two methods to compute the normal form for the four dimensional nonlinear systems. The corresponding Maple programs are also given in the appendix. The results obtained in this dissertation have a completely agreement with the results obtained in other papers.

利用共轭算子法和规范形理论研究了含有三次非线性项的四维系统的规范形，给出了计算四维非线性规范形的两种算法，给出了相应的Maple符号推导程序，所得到的结果与其它文献所得结果完全一致。

Thenwe use adjoint operator method to compute normal form of order 7 for averaged systemswith Z2—symmetry and obtain relations between the coefficients of normal forms andthe coefficients of averaged systems.

然后利用共轭算子法计算了具有Z2—对称性的平均系统的7阶规范形，得到了规范形的系数与平均系统的系数之间的关系式。

In the first part,two methods calculating the coefficients of nilpotentclass normal forms are proposed.one is the iteration search method based onrepresentation theory of Li-algebra,and another is a new matrixrepresentation method based on the adjoint operator concepts,both are ableto be used to analyse the normal form problems with high orders and largedimensions efficiently.

在第一部分工作中，对于幂零类规范形的系数计算，分别提出了基于李代数表示论的迭代搜索的理论和方法以及基于共轭算子概念的新的矩阵表示的理论和方法，从而有效地解决了维数和阶数较高时的计算问题。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Base on the actual condition, we analyze the Doppler-radar detection data of a hail in Pingliang city on July 24,2007 during the field observation in Pingliang city, and then analyze the structure of three-dimension wind field , that retrieved from the Simple Adjoint method, of this system.

中文摘要根据实际情况，本文利用2007年6月-9月期间的平凉野外观测实验中观测到的一次冰雹过程（7月24日）探测资料，对个例的雷达观测结果进行分析，并用简单共轭方法对两次过程进行了三维风场的反演，分析了系统的风场结构。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失