查询词典 transformation equation

In this paper,the area ratio of plane figure affine transformation in space is investigated,and the transformation equation of λ multiple of area is got , the area change of plane figure under affine transformation in space is studied, a important property of three axis ellipsoid is given and proved.

探讨了空间场的仿射变换下平面图形的面积比，推导出λ倍积变换方程式，进而探讨了空间场的仿射变换下平面图形面积的变化规律，给出并证明了三轴椭球体的一个重要性质。

We present the fundamental theories of Noether symmetries and conserved quantities of mechanco-electrical dynamical systems, including variation principle of the system, Noether symmetry transformation, Noether quasi-symmetry transformation, generalized Noether quasi-symmetry transformation, Killing equations, Noether theorem, the form of conserved quantity. And then the basic theory of Lie symmetry is advanced, including the determining equation, structure equation and the form of conserved quantity.

给出机电动力系统的Noether对称性和守恒量基本理论，包括系统的变分原理、Noether对称性变换、Noether准对称性变换、广义Noether准对称性变换、Killing方程、Noether定理和守恒量的形式；给出机电动力系统Lie对称性的基本理论，包括确定方程、结构方程以及守恒量的形式。

On the basis of regular wave transformation equation in a reference[1] incorporating comprehensively environmental current,nonlinear dispersion effect,rapidly varying topography effect,energy loss due to bottom friction,refraction and diffraction, the governing equations are derived for irregular multi-directional wave transformation incorporating multi factors according to the principle of superposition of linear wave and the wave directional spectrum theory.

1引言波浪在由外海向近岸的传播过程中，由于受到复杂地形、障碍物和水流等因素的影响，波浪传播将发生变形。文献[2]对描述波浪在近岸传播变形的各种数学模型方法做了较为全面的、系统的回顾和总结。

The transformation equation of pattern system and model of evolvement are constructed.

建立了新模式演化发展阶段状态模型和模式系统状态转移方程。

An effective algebraic method with point control is proposed and the corresponding transformation equation is derived.

并首次推导了三维空间代数法网格生成中点控制方法的变换表达式。

Last,the authors figures out the parameters of linear transformation equation by the Least-squares method.

用最小二乘法统计方法求出连续视频帧之间运动参数的线性变换方程。

Based on the equivalence between transformation equation and constrained equation consisting of times explicitly,the unified description of criteria for scleronomic constraint and scleronomic system is proposed.

根据变换方程与约束方程显含时间的等价性，提出了定常约束与定常系统判据的等同表述。

The feedback effect of viscous heating on fluid damping force is considered based on a three-parameter model and a dynamic model including a heat transfer and energy transformation equation is developed,and the state of heat balance of the damper is discussed.

主要针对长阻尼孔形式下的流体阻尼器进行分析，在三参数模型的基础上研究了流体粘性发热对流体阻尼力的反馈作用，从而建立了含热能转换与热交换的阻尼器的动力学模型，同时对系统的热平衡状态进行了分析。

Based on the research, this dissertation has studied the M/G/1 and GI/GI/1 queueing systems, and drew the following conclusions: Firstly, we present the equation which satisfies the transient distribution of the lengthof L(T,θ1,θ2 for GI/G/1 queueing systems, and proves that the lengthL(t,θ1,θ2 for GI/G/1 queueing systems satisfy two types of equation, and aretheir minimal nonnegative solutions. Furthermore, we give out not only the expression of Laplace transformation, but also the expression of Laplace transformation of busy-idle period, as well as the equation that satisfies the waitingtime of W

第一，首先给出了GI／GI／1排队系统队长L(t，θ_1，θ_2的瞬时分布所满足的方程，证明了GI／GI／1排队系统队长L(t，θ_1，θ_2的概率分布满足二种不同方程，并且是这些方程的最小非负解，进一步给出了其拉氏变换的表达式，还给出了闲忙周期的拉氏变换的表达式，同时对等待时间W(t，θ也作了同样的处理。

In order to overcome the difficulties faced on analytically deriving the equation for describing the samll angle light scattering patterns from anisotropic objects with arbitrarily director configurations, a Fast Fourior Transformation algorithm for the calculation of SALS patterns from the anisotropic objects immersed in an isotropic matrix has been developed.

用快速傅里叶变换计算方法( Fast Fourier Transformation，FFT)直接获得高分子材料中介观有序结构小角激光光散射图案，从而对实验获得的球晶和液晶液滴的 SALS图案进行结构预测。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。