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- In this dissertation a new recursive formula for computing normal forms based on the adjoint operator method of dynamical systems is first introduced. 本文在共轭算子法的基础上,推导出一个新的计算多维动力系统规范形的迭代公式。
- the adjoint operator 对偶算子
- Some examples are given to explain orthonormality, adjoint operator, orthonormal projection operator, converges in norm and weak sense which used onwavelet theory. 重点说明希尔伯特空间的正交性、伴随算子、投影算子以及依范数收敛、弱收敛在小波理论中的体现。
- This led, as we shall see, to the concept of the adjoint equation. 这就引出了,如我们将要看到的,伴随方程的概念。
- We use Dirac notation [1] to represent the basis vector and introduces the definition of the adjoint basis vector, and establish two representations of the unit operator. 本文采用Dirac符号表示基矢量,并引入伴基矢的定义,从而建立了单位算符的两种表示形式。
- First an improved adjoint operator method is briefly introduced. Then, a general six dimensional nonlinear system is analyzed to drive the formula of computing the third order normal form. 首先简要介绍了这种改进的共轭算子法,然后通过一般形式的六维非线性系统推导出了计算三阶规范形的公式。
- First the improved adjoint operator method was briefly introduced. Then, a general six dimensional nonlinear system was analyzed to derive the formula of computing the third order normal form. 首先简要介绍了这种改进的共轭算子法;然后通过一般形式的六维非线性系统推导出计算三阶规范形的公式.
- 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。
- An improved adjoint operator method was proposed to compute the third order normal form of six dimensional nonlinear dynamical systems and the associated nonlinear transformation for the first time. 首次用一种改进的共轭算子法研究了六维非线性系统的三阶规范形以及所用的非线性变换.
- The Dirac notation is used to represent the basis vector and the definition of the adjoint basis vector is introduced, therefore two representations of unit operator are established. 本文采用Dirac符号表示基矢量，并引入伴基矢量的定义，从而建立了单位算符的两种表示形式。
- An improved adjoint operator method is employed to compute the third order normal form of six dimensional nonlinear dynamical systems and the associated nonlinear transformation for the first time. 本文首次用一种改进的共轭算子法研究了六维非线性系统的三阶规范形以及所用的非线性变换。
- Associated with the notion of the transposed matrix is its complex conjugatx known to physicists as the adjoint matric. 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。
- A Study of ENSO Prediction Using a Hybrid Coupled Model and the Adjoint Method for Data Assimilation. 用混合耦合模式和数据同化伴随方法进行ENSO预报研究。
- 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。
- The adjoint equation of the water vapour equation is derived in the spherical coordinate system. 在下边界为第三类边界条件下，推导了适合于数值天气预报的水汽方程的伴随方程；
- The wind whirled the dead leaves about. 风吹得枯叶在四处回旋。
- On the other hand, the optimal control is a reverse problem and is to be solved with the adjoint equation. 控制问题是反问题 ,用伴随方程求解是很自然的途径
- The wind was whispering in the trees. 一阵风穿过树林沙沙作响。
- There are 26 letters in the English alphabet. 英语字母表中有26个字母。
- An implicit factorized LU-SGS method is applied to solve the Euler and the adjoint equations. 流动方程与伴随方程均用隐式LU-SGS方法求解。
