反射关系

Based on raw materials, this thesis begins with Escher's exploration of mathematical methods, analyzes his regular division of the plane with preliminary symmetric principles-concepts about symmetry and isometry transformation, rotation, ref...

本文基于原文资料的整理，以埃舍尔对数学方法的探索为切入点，运用数学中初步的几何原理——对称概念及等距变换概念(旋转、平移、反射、滑移反射)对埃舍尔的周期性空间分割图案进行了详实的分析，进而对艺术设计的形式中感性与理性、艺术设计与科学等关系进行探讨。

Based on Fermat's theorem, the law of reflection and refraction is obtained, and the geometrical ray tracing method of reflected light is introduced. In response to geometric optics rainbow theory and Airy rainbow theory, the relationship formula of the N-order rainbow angle with the refraction index and the Airy peak value position formula are derived, and the physics causation of the first order rainbow are discussed and analyzed in detail. The distribution properties of the first and second order Airy structures of spherical particles are calculated.

利用费马原理推导了反射和折射定律，以反射射线的跟踪为例介绍了几何光学射线跟踪方法的推导过程；根据几何光学彩虹理论和Airy理论，推导了N阶几何光学彩虹角与入射角和折射率的关系及Airy峰的位置表达式，详细阐述了一阶彩虹形成的物理原因，计算了球形粒子的一、二阶Airy分布。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

First, The relation between one dimension plane detonation wave configuration and mesh size was investigated, then, regular reflection and Mach reflection was studied too.

首先研究了一维平面爆轰波结构与网格尺寸的关系，然后研究了柱面散心爆轰波结构及其正规反射、Mach反射问题。

In this paper the technique of Thermo Time Domain Reflectometry is introduced to make measurements of a wide range of soil physical properties.We outline the theories of TDR technique for water content and electrical conductivity measurement, and heat pulse technique for determination of volumetric heat capacity, thermal conductivity, and thermal diffusivi...

本文以热脉冲技术和时域反射技术的理论为基础，介绍了利用热脉冲技术时域反射技术连续定位测定土壤含水量、电导率、温度和热特性的原理，并利用土壤热特性与容重和含水量的关系，导出了土壤容重、饱和度和通气孔度的计算公式。

As the orientation of optical axis is arbitrary, the polarization states and the amplitudes of the o ray and e ray and the refracted ray were given, and the theoretical expressions of the reflectivity and the transmissivity representing energy relations between the rays were obtained, which provide a theoretical basis for developing and applying crystal devices.

在晶体光轴取向任意的条件下，给出了反射的o光、e光以及折射光的偏振状态和振幅以及表明各光束间能量关系的折射率和反射率的理论表达式，为晶体器件特性的研究提供了有力的理论工具。

The rat obtained by said invention can be used for further researching relationship of arterial pressure susceptivity reflection and cardiovascular disease and can be used for improving development of reflection function medicine.

用本发明所得的大鼠可用于动脉压力感受性反射与心血管疾病关系的进一步研究和用于改善反射功能药物的研制。

The following results are made from this research: Assessing data quality and band combination of different bands in line with geo-target features in desertification areas, and determining basic bands for desertification monitoring. And understanding and studying the spectral features and variation rules of geo-targets in the experimental area, raising that it is the basis of geo-targets information collection with imaging spectrometer data to understand spectral features and variation rules of geo-targets, realizing that in a great extent spectral-integrated-form-based classification method can remove the phenomenon of "different spectrum with same objects" resulted from reflection ratio curve translation because of the angle change among sensor, targets and observation direction, and the average and variance images can be introduced to solve the problem of two kinds of geo-target with similar spectral forms and much different values of whole reflectionratio. It is suggested that "red edge" range bands of vegetation, which has close relationship with vegetation cover and biomass, is the main characteristic bands and important basis for careful vegetation classification and quantitative retrieval, and pixel-based derivative spectral analysis is very useful for removing the effects of soil background values and quantitatively retrieving vegetation biomass and cover. The remote sense quantitative retrieval model is developed for main appraisable factors of desertification monitoring assessment with imaging spectrometer data and then the applicability of model is analyzed.

研究结果如下：首先针对荒漠化地区的地物特征，对高光谱数据不同波段的数据质量、波段组合进行了评价，提出了适用于荒漠化监测的基本波段选择集；初步了解和掌握了研究地区的地物光谱特性及变异规律，进一步明确了掌握地物光谱特征和变异规律是用成像光谱仪数据提取地物信息的基础；发现了基于光谱整体形状的分类方法在很大程度上能够消除由于传感器、地物目标观测方向之间的角度变化引起的反射率曲线整体平移的"同物异谱"现象，对于谱形相似而整体反射率的值相差较大的两类地物，通过引入均值和方差图像参与分类得到解决；研究还表明在植被"红边"范围内的波段是进行荒漠化监测的主要特征波段，这些波段与植被生物量和盖度都有密切的关系，是开展精细植被分类研究和植被定量反演的重要基础；像元的导数光谱分析可以消除土壤背景的影响，是进行植被生物量和盖度定量反演的有力工具；建立了荒漠化监测主要评价因子的定量反演模型，并分析了模型的适用性。

Chlorophyll contents and xanthophyll cycle pool calculated from reflectance were closely related with cucumber tolerance to salt stress, and reflectance characteristics could be used as index to evaluate cucumber cultivar tolerance to salt stress.

利用光谱反射指标得出的叶绿素含量、叶黄素循环库的大小与黄瓜的盐害程度及不同品种的耐盐程度有密切关系，反射光谱特性可以用来作为筛选黄瓜耐盐的生理指标。

The following results are made from this research: Assessing data quality and band combination of different bands in line with geo-target features in desertification areas, and determining basic bands for desertification monitoring. And understanding and studying the spectral features and variation rules of geo-targets in the experimental area, raising that it is the basis of geo-targets information collection with imaging spectrometer data to understand spectral features and variation rules of geo-targets, realizing that in a great extent spectral-integrated-form-based classification method can remove the phenomenon of "different spectrum with same objects" resulted from reflection ratio curve translation because of the angle change among sensor, targets and observation direction, and the average and variance images can be introduced to solve the problem of two kinds of geo-target with similar spectral forms and much different values of whole reflectionratio. It is suggested that "red edge" range bands of vegetation, which has close relationship with vegetation cover and biomass, is the main characteristic bands and important basis for careful vegetation classification and quantitative retrieval, and pixel-based derivative spectral analysis is very useful for removing the effects of soil background values and quantitatively retrieving vegetation biomass and cover. The remote sense quantitative retrieval model is developed for main appraisable factors of desertification monitoring assessment with imaging spectrometer data and then the applicability of model is analyzed.

研究结果如下：首先针对荒漠化地区的地物特征，对高光谱数据不同波段的数据质量、波段组合进行了评价，提出了适用于荒漠化监测的基本波段选择集；初步了解和掌握了研究地区的地物光谱特性及变异规律，进一步明确了掌握地物光谱特征和变异规律是用成像光谱仪数据提取地物信息的基础；发现了基于光谱整体形状的分类方法在很大程度上能够消除由于传感器、地物目标观测方向之间的角度变化引起的反射率曲线整体平移的&同物异谱&现象，对于谱形相似而整体反射率的值相差较大的两类地物，通过引入均值和方差图像参与分类得到解决；研究还表明在植被&红边&范围内的波段是进行荒漠化监测的主要特征波段，这些波段与植被生物量和盖度都有密切的关系，是开展精细植被分类研究和植被定量反演的重要基础；像元的导数光谱分析可以消除土壤背景的影响，是进行植被生物量和盖度定量反演的有力工具；建立了荒漠化监测主要评价因子的定量反演模型，并分析了模型的适用性。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。