查询词典 dimensional

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

The influence of the structure and material parameters on static and dynamic characteristics is studied. The three dimensional static analysis is obtained by the power series expansion method for a piezoelectric composite laminates. Three dimensional distribution of bonding stress, displacement and electric potential are presented. The distributions of electric potential across thickness of two kinds piezoelectric materials are discussed.

对于静态问题，采用三维精确解方法，给出了压电层与基体之间剪应力、位移、电势的三维分布图；讨论了工程中常用的两类压电材料在感知和作动情况下沿压电材料厚度方向电势的分布情况，分析了电势可看作线性分布的条件；讨论了压电层和粘结层的厚度及材料特性变化对压电感知和作动效果的影响，并对压电层的厚度作了优化分析。

It includes high-level commands for two-dimensional and three-dimensional data visualization, image processing, animation, and presentation graphics.

它包括高级的二维，三维数据可视化，图像处理，模拟，图形表示等图形命令。

According to the theory of beam phase space, the projective density distributions in four dimensional and two dimensional trace space are derived for some space charge distributions often used in accelerator physics.

理论和实验研究都已发现，它们与束流空间电荷的非均匀分布有密切关系。

According to the theory of beam phase space , the projective density distributions in four dimensional and two dimensional trace space are derived for some space charge distributions often used in accelerator physics. And, the relation between beam emittance and brightness with density distributions is developed too.

针对加速器中几种常用的束流密度相空间分布形式，根据束流相空间理论，推得了它们在四维和二维径迹空间中的投影密度，并给出了束流发射度和亮度与束流密度分布的关系式，为加速器束流测量和束流诊断提供理论依据。

Though vector algebra, the theory of Pythagorean Theorem in Three-dimensional Euclidean Space was generalized with n-dimensional Eudidean space.

以向量代数为工具，将三维欧氏空间上的勾股定理在n维欧氏空间上进行了推广，得到了广义勾股定理。

The core idea of the method is to reduce the Hough cumulative dimension of the circle detection based on classical Hough transform, and convert the threedimensional statistical parameter based on the traditional circle Hough transform to two-dimensional parametric statistics about the center of a circle and one-dimensional statistical parameter about the radius of a circle.

给出了一种基于Hough变换的同心圆检测方法，其核心思想是降低经典Hough变换圆检测中的Hough累积维数，将经典Hough变换圆检测时的三维参量统计，转变成基于弦中点的圆心和半径的参量统计。

First, in order to verify the correct of this retrieval month, by using the data of three-dimensional wind field, raininess field and temperature field that are output by MM5 numerical simulation, we climate the radial velocity field and echo intention field in the in-phase observation area of Dual-Doppler radar, then, on the base of the upwards retrieval theory and using the radial velocity field and echo intention field in the in-phase observation area of Dual-Doppler radar, we retrieve the atmospheric three-dimensional wind field.

首先，为检验此种反演方法的可靠性，我们使用MM5数值模式输出的三维风场、雨强场、温度场等数据，分别模拟生成两部雷达同步观测区的径向速度场和回波强度场，然后根据以上的反演理论利用模拟的双多普勒天气雷达观测到的径向速度场和回波强度场反演出大气三维风场。

Some methods to arise the calculating efficiency for multi-dimensional random earthquake vector processes were proposed. To one dimensional process, the influences of all models to simulated target PSD and mean response spectrum were studied. The importance of frequency properties to models was demonstrated.

还对一维随机过程的平稳与非平稳情形，研究了频率特性对拟合目标功率谱的影响和对单自由度振子反应谱的影响，由此证明了频率特性在拟合模型中的重要性。

This series of works mostly uses woven objects are 3-dimensional or 2-dimensional, they all use a single, fragmented element, utilizing regular or irregular methods to construct an image or a space; for example, paintings, installations, multi-media, or sculptures.

而这一系列作品，主要是使用三度或二度空间的编织物，它们都是使用单一且不完整的元素，运用不规则与规则的方式来建立影像或进行空间的装置；例如，平面绘画、装置艺术、复合媒材或雕塑作品等。

He got into race cars, while my father liked go-karts more, so I didn't really pay attention to what Diego was doing, as I was just racing karts.

叔叔开的是跑车，而我父亲更喜欢越野卡丁车，所以我并不太关注Diego在做什么，我仅仅在跑我的卡丁车而已。

She is at present gone to look for the best nectar and ambrosia to regale me this evening.

她今晚为款待我，现在又去准备美酒佳肴去了。