查询词典 imaginary

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。

From time to time, when the old man was too much bored, we would read him a letter from his son—an imaginary letter, of course, for nothing was allowed to enter Paris, and since Sedan, MacMahon's aide-de-camp had been sent to a German fortress.

过了一些时候，只要这老人等得不耐烦了，我们就读一封他儿子的来信给他听，当然，信是假造的，因为巴黎已经被围得水泄不通，而且，早在色当大败以后，麦克—马洪元帅的参谋部就已经被俘，押送到德国某一个要塞去了。

He held his hand out in the air, plotting an imaginary line that dropped precipitously to his knees.

他伸出一只手，在空中划出的假想曲线最低处快触及了他的膝盖。

According to algebraic number theory,all solutions of Pocklington equation in a ring of integers of a quadratic imaginary field are determined,which implies that the equation has only several solutions in the ring.

利用代数数论的理论与方法，决定了一个重要的不定方程在一个特殊的虚二次域整数环中的解，从而指出这个方程在比整数环更大的环中也仅有有限个解。

Cardano's Ars Magna is a landmark in the history of mathematics. It started the theoretical research on algebraic equations, solved the polynomial equations of third-degree and forth-degree in a general and systematical way, and studied the imaginary number as well as its operations for the first time.

卡尔达诺的《大术》在数学史上具有重要的地位，它开创了代数方程的理论研究，首次系统地给出了三、四次多项式方程的一般解法，并且最早讨论了虚数及其运算。

Basing on the nonatationary linear mild-slope equation developed by Hong Guangwen in 1995, a complete wave model is built considering the bottom friction, nonlinear dispersion relation, and allied reflection and diffraction of several islands. Integrating with corresponding physical and imaginary boundaries, it is solved through Alternating Direction Implicit difference method.

本文以洪广文(1995)推导的非定常线性波缓坡方程为基础，建立考虑底摩阻项，非线性弥散关系，及多岛屿绕射反射作用的缓坡方程求解模式，采用经典的ADI法差分格式，结合物理和虚拟边界条件进行求解。

An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

Amm Estelle,is the imaginary representative of Mary's outlook.

安·埃丝特尔实际上是玛丽人生观的体现。

We used herethe path integral Monte Carlo method to calculate the imaginary time correlationfunction, then did the numerical analytic continuation to get the rotational energy levels.

在这一章里，我们介绍了所采用的方法，并且将其运用于一个简单的模型。

However,in at early work of Dolan and Jackiw, after the analytic continuation ofthe imaginary time thermal propagator, the result was not the 2 × 2 matrix thermalpropagator in the real time formalisms, but only the 1-1 component of the matrix,which caused singularities like higher order δ function's.

然而在Dolan和Jackiw的工作中，由虚时热传播子解析延拓得到的结果不是实时方法中的二阶矩阵形式的热传播子，而只是其中的1-1矩阵元，从而会导致象高阶δ函数这样的奇异性，本文指出，这个结果是来源于一个隐含的假设，即认为实时方法的背景时空是一个明氏时空。

But in the course of internationalization, they meet with misunderstanding and puzzlement.

许多企业已经意识到了这一点，但在国际化的进程中，仍存在一些误区与困惑。

Inorder toaccomplish this goal as quickly as possible, we'll beteamingup with anexperienced group of modelers, skinners, and animatorswhosenames willbe announced in the coming weeks.

为了尽快实现这个目标，我们在未来数周内将公布与一些有经验的模型、皮肤、动画制作小组合作。