A standard accessorial reflecting mirror was incorporated into the beam path of an interferometer to build up a autocollimating system for measuring the aspheric wavefront aberration of paraboloidal, ellipsoidal and hyperbolic mirrors with the method of aberrationless point.

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Compilation of the plane trigonometry and spherical trigonometry book, spherical trigonometry to solve some problems in, and first proposed the introduction of auxiliary ...

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The model for calculating the stability of the resonator containing a laser rod with curvature ends was developed,which was based on the transfer matrix theory of Gauss beam. The results from the numerical simulations on some typical resonators indicate that the laser rod with curvature ends can expand the stable region of plano-plano,plano-concave and plano-convex cavity notability;despite the laser rod with curvature ends can improve the stability of above mentioned cavities,it costs the effective mode volume.

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The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）證明了帶有反射不變測度的球面調(diào)和展開蔡沙羅平均算子的L1有界性国产黄大片手机在线观看，給出了收斂指標的特征刻劃，對不在奇性平面上的點原创av，還證明了點態(tài)收斂性97人人操人人摸人人搞，這些成果同時推廣了經(jīng)典球面調(diào)和展開和雅可比展開的結果；（2）利用Dunkl型的微分-反射算子建立了一類斯特姆-劉威爾算子的測不準原理国产又大硬又爽免费视频，并由此得到一些著名的經(jīng)典正交展開如雅克比展開久久精品99久久久久久、赫米特展開和拉蓋爾展開的測不準原理；（3）利用由兩個變量的微分-反射算子定義的柯西-黎曼方程組來研究擴展雅克比展開的調(diào)和分析中文字幕,大黄片，證明了共軛擴展雅克比展開的Lp有界性和弱L1有界性超碰在线视屏观看，特別是對小于1的一些指標p，建立了相應的哈代空間的基本理論欧美一级激情操逼aaa黄。

The experiment result shows that the system can realize high precision measurement for big curvature radii of optical spheres.

實驗結果表明：設計的光學球面自動測量系統(tǒng)可以對大曲率半徑光學球面實現(xiàn)高精度測量求一个毛片网站。

The paper analyzes theoretically the influence law of length distortion after the reductions from measured side length to reference ellipsoid surface and then from side length on the reference ellipsoid surface to gauss perspective plane. It also discusses theoretical methods to restrict and the projection distortion influence.

從理論上分析了將實測邊長歸算到參考橢球面上和將參考橢球面上的邊長歸算到高斯投影面上的長度變形影響規(guī)律，討論限制和減小這種投影變形影響的理論方法全色色网2021。

Let x be an immersion of a compact Willmore surface M into the n-dimensional unit sphere Sn. In this thesis we first consider the Willmore surfaces in the unit 3-sphere, and establish an integral inequality for the square of the length of the trace free part of the second fundamental form and the mean curvature.

令x是一個從緊致威爾摩曲面M到n 維單位球面Sn的浸入免费三级电影网，在本論文中我們首先考慮3維單位球面中的威爾摩曲面并建立一個包含第二基本型式跡為零部份的張量長度平方與平均曲率之積分不等式。

Based on the aspheric off-axis reflection projection system, the Zernike free form surface was adopted to replace the aspheric surface in order to further optimize the system structure. The relationship between Zernike polynomial and Seidel aberration was utilized to improve the system performance.

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The traditional separation of variables method is used to get the solution of SEW electric-fields when the parameter of the media changes abruptly.On the basis of these,WKB method is used to get the solution of SEW electric-fields when the parameter of the media changes gradually.

運用傳統(tǒng)的分離變量法得到了媒質(zhì)參數(shù)突變情況下球面電磁波場強的分布日女av网，在此基礎上欧美性爱黄色片在线精品观看，模仿WKB方法推導出了媒質(zhì)參數(shù)漸變情況下球面電磁波的場強分布。

Poincaré, almost a hundred years ago, knew that a two dimensional sphere is essentially characterized by this property of simple connectivity, and asked the corresponding question for the three dimensional sphere (the set of points in four dimensional space at unit distance from the origin).

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