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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。

Proves by matrix technique and ways that affine Unitary groups have double transition on the affine maximal and deseribes the total isotropic subspaces over affine Unitary geometry and their orbits and the use of affine maximal and total isotropic subspaces to construct several classes association scheme and PBIB designs, and the calculation of all parameters as well.

利用矩阵的技巧和方法,证明了仿射酉群双可迁地作用在仿射酉几何中的仿射极大全迷向子空间上,并且给出了轨道的明确表示。作为该理论的一个应用,利用仿射酉几何中的极大全迷向子空间的全体作为处理集构作了一个多个结合类的结合方案和PBIB设计,并计算了所有的参数。

The notion of affine quadratic stability is proposed for uncertain delayed systems. Based on such a notion, methods of robust stability and robust H〓 performance analysis for uncertain linear delayed systems with affine parameter uncertainty are developed by using linear matrix inequalities.

本章提出了不确定时滞系统仿射二次稳定的概念,对于具有仿射参数不确定性的线性时滞系统,基于仿射二次稳定概念,利用线性矩阵不等式给出了鲁棒稳定性和鲁棒H〓性能分析方法。

In order to study the grating diffractive field's characteristics of the partially polarized and coherent beams, an analytic expression of polarization degree and angular correlation of partially ploarized and coherent beams through polarized gratings is derived based on the beam coherentce-polarization matrix approach of partially coherent beams.

为了研究部分偏振部分相干光光栅衍射场的衍射特性,利用部分偏振部分相干光的光束相干-偏振矩阵,推导出了部分偏振部分相干光通过任意偏振光栅后,衍射场的偏振度及场中衍射级次角相关的一般解析表达式。

In order to testify our whether correction to Rossi's exchange term andthe potential of electron and nucleus is reasonable, we calculate 〓 moleculeelastic differential scattering cross section by electron impact on 100eV, ourresult is obviously better than Rossi's. Then we calculate elastic differentialscattering cross section at 150eV. In order to check the program thatcalculates molecule excitation cross section by electron impact, we calculatehydrogen excitation cross section from ground state to 〓 state at 20eVand 30eV, oxygen excitation cross section from ground state to 〓 state at15eV and 20eV. These calculations are in agreement with other theoreticresults, and experiment measure. Finally, we calculate sulfur moleculeexcitation〓 cross section by electron impact at5eV,7eV,9eV, 11eV, 13eV,15eV, and draw curve of excitation total crosssection corresponding to incident electron energy.

为了核对我们修改的计算激发态的程序是否正确,计算了电子与氢分子碰撞从基态激发到〓态入射能量分别为20eV和30eV时的微分截面以及电子与氧分子碰撞从基态激发到〓态入射能量分别为15eV和20eV时的微分截面,与别人的理论计算结果、实验的测量值基本一致,最后计算了电子与硫分子在5eV、7eV、9eV、11eV、13eV、15eV时的碰撞激发〓截面,作出了电子的入射能量与激发总截面的关系曲线,找出了总截面最大时对应的电子入射能量大约是11电子伏。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型:1 根据造波板做椭圆余弦运动或正弦运动速度,推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件,数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确;2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解,讨论了该解析解的适用范围;3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用;4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

In this dissertation, InGaAs/InGaAsP/InP MQW microdisk laser and its characterization were presented. Some conclusions are as following: the characteristics of lasing threshold was discussed by using rate equation. The dependent relations between threshold and cavity volume, spontaneous emission coupling efficiency β were investigated. The whispering gallery mode and spontaneous emission in a microdisk geometry were then studied. Almost all spontaneous emission was coupled into the lowest order TE mode when the normalized thickness of photonics well was between 0.15 and 0.5. The design principle and device process of InGaAs/InGaAsP/InP MQW microdisk laser were presented. The microdisk lasers with the diameter of 8μm, 4. 5μm and 2μm were succesfully fabricated by using etching techniques. The pulse lasing thresholds for the microdisk with the diameter of 8μm and 4. 5μm were 170μW and 15μW, a record results compared with the published in the literature. The cw lasing threshold for a 2-μm-diameter microdisk was only a few μW. We haven't found similar report up to now. To solve the problem of directional output in a microdisk laser, the power coupling efficiency in a double disk geometry was investigated with the theory of waveguide mode couple. A new structure of electrically pumped microdisk laser with output waveguide was designed, making a foundation for the practical use of microdisk laser.

本文主要研究InGaAs/InGaAsP/InP多量子阱半导体碟型激光器的研制和特性表征,并取得如下结果:利用速率方程理论讨论了激光器激射阈值的特性,分析了阈值与腔体积和自发发射耦合系数β之间的关系;讨论了微碟光子阱结构中的自发发射特性和微碟中WGM模式特性;光子阱结构在其归一化厚度在0.15-0.5之间时,几乎全部自发发射进入到最低阶TE模式中;研究了InGaAs/InGaAsP/InP多量子阱微碟激光器的结构设计原理和器件的制备工艺;利用刻蚀方法成功制备出直径分别为8μm、4.5μm、2μm的碟型微腔激光器;直径8μm和4.5μm的微碟脉冲光泵浦激射阈值分别为170μW、15μW,是目前所见文献报导中比较低的;直径2μm的微碟连续光泵浦激射阈值仅几μW,目前尚未见到达到类似结果的研究报导;为解决微碟激光器激射光定向引出的问题,通过波导耦合模理论分析了双层碟之间功率耦合效率;据此设计了新型带耦合输出波导的电泵浦微腔激光器,为进一步研制可实用的电泵浦微腔激光器打下基础。

According to mixture of colors theory,the white diffraction can be regarded as noncoherent superposition of the three primary colors diffraction.

根据配色原理,将白光衍射分解为三基色衍射场的非相干叠加,用Matlab模拟白光圆孔和单缝衍射场的分布图,给出程序代码,结果形象直观。

To improve the stability and the depth of the pseudo-potential well of the ion trap, two sets of RF sources and the corresponding detection circuits were designed and implemented in a Paul trap. With the implementation, absorbed signals of 199Hg(superscript +) and N(superscript + subscript 2) were detected from trapped ions.

为了满足离子囚禁稳定性以及提高离子囚禁势阱深度,设计和制作出两套囚禁离子的射频源和射频共振吸收检测电路,利用不同频率的射频源及相应检测电路在双曲线型离子阱实验装置中成功地囚禁了199Hg和N(上标+下标 2)离子得到了它们的射频共振吸收信号。

After deriving the equations of reflectance spectrum of compressional and shear waves for thin beds at an arbitrary incidence angle , the equations of reflectance spectrum of compressional wave for a thin bed are reduced at zero incidence angle .

该文在推导出任意入射角入射条件下的多个薄层纵、横波反射系数谱理论基础上,进一步简化出了单个薄层垂直入射时的纵波反射系数谱计算公式,从而获得了在薄层条件下不同频率成分的纵波反射系数谱数学关系式。

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推荐网络例句

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?