抛物线方程

基于SSP抛物线方程方法计算电磁散射问题

Electromagnetic scattering calculation with the SSP parabolic equation

抛物线方程（PE）是波动方程的一种近似形式，它假设电磁波能量在沿着抛物线轴向的锥形区域内传播。

The Parabolic Equation method ( PE ) is an approximation of the wave equation , which models energy propagating in a cone centred on a preferred direction , the paraxial direction .

该算法将抛物线方程的坐标变换与随机Hough变换三点检测法结合起来检测任意方向的抛物线轨迹，并利用所检测到的点迹的速度信息来消除虚假目标。

This algorithm combines coordinate transformation of the parabolic equation and three-point detection algorithm based on randomized hough transform to detect parabolic tracks in any orientation , and employs the velocity information of detected tracks to delete false alarms .

模拟的数学模型大都为典型的抛物线方程。

Most of the simulated mathematic model is typical parabola .

一种易用于抛物线方程的非局部边界条件

An easily used nonlocal boundary condition for parabolic equation

这就是一个抛物线方程。

That is a parabola .

在试验范围内的种群增长指数可以用二次抛物线方程表示。

The trend indexes of population calculated from the life table may be expressed by the parabolic equation .

并提出了旋转抛物线方程算法，实现了目标任意角度雷达散射截面的快速计算。

The rotated parabolic equation method was presented to compute the bistatic radar cross section ( RCS ) .

试验结果表明：无论何种加载方式，煤体变形与瓦斯排放量服从抛物线方程；

This research shows that whatever mode loading , the relation of coal deformation and drainage is parabolic equation .

应用抛物线方程，即可得到板内任意点的剪应力。

Using the equation of parabola , we obtain for the sheer stresses at any point in the plate .

五种温度与种群增长指数也可用二次抛物线方程表示；

The five different temperature and the increasing exponent in population can be shown with quadratic parabolic equation as well .

指出汽车正面碰撞的变形与速度的关系为抛物线方程和轿车的分类方法，并给出其实用方程。

The relation between vehicle distortion and velocity is parabola equation . The Classification of car and the practicable equation is also present .

开敞水域波浪的传播&抛物线方程法

Parabolic Equation Approximate Method for Calculation of Wave Propagation in Open Sea Area An Approximate Method for Calculating Unsteady Density Current Transmitting in a Reservoir

一元线性方程、抛物线方程及非线性阻尼振动方程对描述土壤缓冲速率及缓冲量动力学具有适应性；

Linear equation with one unknown , parabolic equation and nonlinear damped vibration equation well fit to describe the dynamics of Lou soil buffering rate or value .

正态分布与抛物线方程在制定体育课考核标准中的应用非线性抛物型方程的线性化差分方法

To Set up Examination Standards of the PE Courses by the Methods of Normal Distribution & Parabola Equation ; The Linearization Difference Method for Solving Nonlinear Parabolic Differential Equations

剪切破坏理论子模式应用条件为筒盖关键层厚度较大，突水判据为二次抛物线方程；

The shear failure sub-mode is applicable to the circumstance where the key layer of cylinder cover has big thickness , and its criterion of water inrush is a quadratic parabola equation .

抛物线方程方法是散射目标分析和雷达设计的重要理论依据，对于目标雷达探测和目标识别都有重要意义。

The PE method is the important theory of the electromagnetic scattering and the design of the radar , which have the magnitude sense in the radar explore and the object identify .

抛物线方程算法是建立在波动方程轴向近似基础上的一种数值方法，该方法假设电磁波能量沿抛物线轴向的锥形区域传播。

The parabolic equation method , which is an efficient and fast numerical approach based on paraxial approximation of the wave equation , models energy propagation in a cone centered on the paraxial direction .

计算了空气间层内空气温度和重质墙体外表面温度随高度方向的变化，并得到拟和曲线方程（分别为指数增长方程和抛物线方程）；

The air temperature in the air gap and the outside surface temperature of massive wall in the vertical direction are simulated and the curve equations are got through fitting which are separately exponential growth and parabola equation .

本文通过指数变换把偏微分方程转变成一个半线性的抛物线方程，证明了其值函数连续解的存在性，并在此基础上给出了企业的最优投资组合策略。

In this paper , the partial differential equation is transferred to a semi-linear parabolic equation by using the exponential transformation , the existence of the continuous solution of the value function is proven . Furthermore , the optimal investment policy is obtained .

用抛物线方程方法计算一些简单目标的电磁散射，利用计算结果与其它数值方法及高频近似法比较验证该方法在电磁计算方面的快速、准确性，并从中发现该方法存在的缺陷和不足。

By comparing the results of electromagnetic scattering from simple objects computed by the parabolic equation method with those computed by other methods ( such as numberical methods and the method of high frequency approximation ), we can find accuracy and quickness of this method and its limitations .

运用时间序列分析，采用半E次抛物线曲线方程与分段等级累进计分方法，使评分标准的制定更符合科学性、可控制的实效性。

Using analysis of time sequence , parabola equation and progressive marking , the study developed a rational and practical marking standard .

养殖42d后，以相对增重率作衡量指标，用直线回归及抛物线回归方程拟合，结果表明：幼乌龟配合饲料蛋白质最适含量为35.75%～40.38%。

Feeding experiments were continued for 42 days . Based on the relative weight gain rate , results indicated that the optimum protein content in formulated Diets for Chinemys reevesii juveniles was 35.75 % ~ 40.38 % .

准线性抛物线型方程的广义解的性质

Properties of Generalized Solution of the Quasi-Linear Equation with Parabolic Form

化简抛物线一般方程的矩阵法

On the matrix method to reduce the general equation of a parabola

高温氧化性能测试得出激光重熔试样氧化动力学近似地遵守抛物线速率方程。

High temperature oxidation test reveals oxidation kinetics approximately follow a parabolic rate equation .

因此我们看到，通过消去时间，就可以得到抛物线的方程。

T So you so see now , by eliminating the time that we have here a parabola .

本文研究了一类准线性抛物线型方程的广义解的存在性以及它所体现的有限扩散性质。

In this paper we have treated the existence of generalized solution to the quasi-Linear equation with parabolic form and its properties of finite diffuse .

抛物线扩散方程能较好地反映土壤锰的转化过程，即土壤锰的转化速率可能受扩散控制。

Parabolic diffusion equation could better reflect the transformation process of soil Mn , This suggests that diffusion processes control the rate of Mn transformations . 3 .

坡度对坡面径流深的影响可用抛物线相关方程进行描述，25°左右是径流深随坡度变化的转折点；

Slope gradient influenced runoff depth and could be described with parabola equations . The critical slope degree was about 25 °, above which runoff rate changed its trend ;