查询词典 zeroth

Analytical expressions for electromagnetic fields of a vertical or horizontal electric dipole over the finitely conducting plane are derived subject to the boundary conditions; Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

在此边界条件下，推导出有限导电平面上垂直和水平电偶极子电磁场的解析表达式；赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

A new method based on the Fourier-Bessel series is proposed to calculate the higher-order harmonic components of a nonlinear ultrasound field in absorbing medium and an analytical solution of a series form is obtained. A closed analytical solution of the higher-order harmonics in the zeroth-order Bessel ultrasound field and the focused Gaussian ultrasound field is deduced to study the field property, especially the near-field property.

提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。

The fundamental and higher-order harmonic ultrasound fields of a zeroth-order Bessel ultrasound field and focused Gaussian field in absorbing medium are computed and simulated by solving the KZK equation using a frequency domain finite difference method.

通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。

Applying atomic many-body theory to analyse the Goldston diagrams of effective Hamiltonian and wave operator about electron-electron correlation for open shell atoms, we use a simple method to evaluate the effective Hamiltonian and calculate the correlation effectes of Corbon with HFS model as a zeroth order approximation. Making contrasts with the experiment and the calculation based on HF model we get pleased results.

应用原子多体理论对开壳层原子中电子关联效应的有效哈密顿量及波算符的Goldston图进行了分析，在此基础上得到了计算有效哈密顿量的简单方法；以HFS模型为零级近似对中性碳原子基态的关联效应进行了计算并通过与实验结果及其他文献基于HF模型进行的计算相比较，得到了令人满意的结论。

Temperature and the Zeroth Law of Thermodynamics, Simple Thermodynamic System, Work, Heat and First Law of Thermodynamics, Kinetic Theory of the Ideal Gases, The Second Law of Thermodynamics, The Carnot Cycle and the Thermodynamic Temperature, Entropy, Phase Diagram of a Pure Substances, First-Order and Second-Order Phase Transitions, Introduction to Statistical Mechanics (including Partition for Canonical Ensemble, M-B 、 F-D 、 B-E distributions), Thermal Properties of Solids.

热物理 ( S0437)(3，0)/热力学( S0434)(3，0)温度及热力学第零定律，简单热力学系统，功，热及热力学第一定律，理想气体动力论，热力学第二定律，卡诺循环与热力学温标，熵，纯物质的相图，一阶与二阶相变，统计力学简介(包括：正则系综的配分函数，马克斯威尔-玻兹曼分布，费米-狄拉克分布，玻色-爱因斯坦分布等)，固体的热性质。

The binary coding of cosine eliminates zeroth order diffraction theoretically, and can generate high pixel hologram.

余弦二值编码方法从理论上消除了零级衍射，可以制作像素较多的全息图。

Based on the phase space model of the zeroth and first order approximation, a regression-autoregression model and a regression-local linear regression model are proposed, which provided new method for dam safety monitoring.

在此基础上，提出了逐步回归—自回归、逐步回归—局域线性回归等大坝观测序列相空间模型，为大坝安全监控模型的建立与预测提供了新的思路与方法。

The zeroth order circulations (surface and depth-averaged) approximatively reflect basic characteristics of the circulation in the East Sea .

零阶环流近似地反映了东海环流的基本特征

It is found that for a properly chosen zeroth order Hamiltonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision.

本论文主要进行了如下工作：运用绝热定理的方法研究耦合系统混沌态的半经典量子化，发现对于合适选择的零级哈密顿量，经典混沌态和规则态的量子化结果，在绝热近似下有相同的精度。

Under the optimum conditions, the linear range of the method was 0-80 μg/L. The detection limit was 4.58×10^(-7) g /L.The catalytic reaction was the zeroth order one. The apparent activation energy and the reaction rate constant was found to be 96.04 kJ/mol and 3.61×10^(-3)/s, respectively. The sensitivity was increased by 3 times in the presence of surfactant.

在最佳实验条件下，方法线性范围为0~80μg/L，检出限为4.58×10^(-7)g/L；催化反应为动力学零级反应，表观活化能为96.04kJ/mol，反应速率常数为3.61×10^(-3)/s；反应在表面活性剂存在下，灵敏度提高3倍。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。