Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

第二章介紹一系列的預(yù)備知識中文在线天堂网www官网，主要是關(guān)于古典微分幾何中第一欧美日韩在在线视频，第二基本形式的定義，法曲率加勒比在线精品观看，主曲率天天插天天碰，平均曲率，Gauss曲率日批视频网站免费看，單位法向量有99个黄色视频的黄色网站，主方向等的定義在线观看AA。

The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;2. In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.

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Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于這一點，當(dāng)螺旋面的平均曲率或Gauss曲率為給定光滑函數(shù)時国产精品日韩精品免费观看，本文選取偽正交標(biāo)架天天综合亚洲色在线麻豆精品，使得兩類螺旋面的平均曲率和Gauss曲率的表達(dá)式相對簡化，通過求解一系列的非線性常微分方程图片区偷拍区综合区小说区，即可確定一族生成曲線在线免费观看毛片网站，從而最終確定平均血率或Gauss曲率為給定光滑函數(shù)的雙參數(shù)族螺旋面，并在這一過程中解決了Beneki等人留下的一個公開問題国产三级精品三级在线区。

In this paper, we mainly discuss a kind of surfaces in4- dimensional Pseudo-Euclidean Space and give the classification of such surfaces with constant mean curvature and Gauss curvature.

文章研究四維偽歐氏空間中的一類曲面全面黄片，給出了具有常平均曲率、高斯曲率及相關(guān)平均曲率和高斯曲率的這類曲面的分類性欧美日韩一区二区。

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

在n-1維超曲面的反圖變換中又硬又粗又黄的视频，示明反圖變換為保角表示法，曲率線系的反影仍為反超曲面的曲率線系精品一区在线播放，反超曲面的主曲率中国老女人老妇女刺激视频，全曲率與平均曲率為原超曲面的主曲率的函數(shù)等。 3性感带AV电影在线免费观看。最后導(dǎo)出公式(1)在四維空間與通尘镁镁枚痘粕空間之特殊形式

Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

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Then, based on the mean curvature, Gaussian curvature and the function of principal curvature, the minimal loci of the principal normal surfaces of curves, the curves with constant Gaussian curvature and the two curves of which the ratio of their functions is constant can all be obtained, as well as the properties of geodesic curve and lumbar curve.

再根據(jù)平均曲率、高斯曲率及主曲率函數(shù)日韩.中亚.欧美，能得到曲線的主法線曲面的極小軌跡免费国产福利小视频在线、常高斯曲率曲線及兩個主曲率函數(shù)之比為常數(shù)的曲線。還給出曲面上測地線和腰曲線的性質(zhì)美女被操网站在线播放。

The approach of solving mean curvature,Gaussian curvature and principal curvatures of general triangular mesh model was derived.Considering coarse triangular mesh model is often seen,in order to increase the precision of curvatures,combined with Loop subdivision algorithm,the curvature algorithm was further extended.

推導(dǎo)了一般三角形網(wǎng)格模型頂點的平均曲率亚洲精品福利在线、高斯曲率和主曲率的計算方法，考慮到經(jīng)常遇到粗糙三角形網(wǎng)格模型色人人国产，為提高其曲率計算方法的精度另类在线精品视频，結(jié)合Loop細(xì)分曲面算法，進(jìn)一步拓展了該曲率計算方法丝袜黄色录像。

Considering coarse triangularmesh model is often seen, in order to increase the p recision of curvatures,combined with Loop subdivision algorithm, the curvature algorithm was further extended.

推導(dǎo)了一般三角形網(wǎng)格模型頂點的平均曲率在线看羞羞漫画、高斯曲率和主曲率的計算方法，考慮到經(jīng)常遇到粗糙三角形網(wǎng)格模型自拍偷拍12，為提高其曲率計算方法的精度欧美极品一区，結(jié)合Loop 細(xì)分曲面算法，進(jìn)一步拓展了該曲率計算方法4438黄色网。

Its implementation processes include:①to perform wavelet transform and frequency decomposition and reconstruction to gain the seismic data with high quality;②to adopt least square method to approach and fit the local secondary curved face, and compute the fit coefficients of the secondary curved face, then use these coefficients to gridding mapping bed plane to compute the average curvature and Gauss curvature, then, obtain other curvatures through the various linear combinations of the two curvatures above;③to generalize the curvature of the bed layer to compute and reconstruct the curvature volume.

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mean curvature of surface：曲面的平均曲率

mean curvature 平均曲率 | mean curvature of surface 曲面的平均曲率 | mean density 平均密度

mean curvature：平均曲率

連續(xù)性評估方法主要通過位置連續(xù)(Position),切平面(Tangent Plan).高斯曲率(Gaussian Curvature),截面曲率(Section Curvature)欧美国产极品免费区、平均曲率(Mean Curvature)和絕對曲率(Absolute Curvature)等;而曲面光滑性評估多采用反射線法、高光線法和等照度法等.

mean curvature：平均曲率,中曲率

axial curvature 軸線曲率 | mean curvature 平均曲率,中曲率 | tangential curvature 切面曲率

mean curvature：平均曲率運動

柔度差值曲率:Flexibility Difference Curvature | 平均曲率運動:mean curvature | 恢復(fù)力模型:Moment-curvature relationship model

parallel mean curvature：平行平均曲率

流線曲率法:the stream-curvature method | 平行平均曲率:parallel mean curvature | 曲率模態(tài)差:differences of curvature modal

parallel mean curvature metric：平行平均曲率

曲率延性系數(shù):curvature ductility factor | 平行平均曲率:parallel mean curvature metric | 流線曲率法:the stream-curvature method

the mean curvature flow：平均曲率流

恢復(fù)力模型:Moment-curvature relationship model | 平均曲率流:the mean curvature flow | 曲率半徑影響:influence of curvature radius

mean radius of curvature：平均曲率半徑

平均海面歸算 seasonal correction of mean sea level | 平均曲率半徑 mean radius of curvature | 平均誤差 average error

surface of constant mean curvature：定值平均曲率的曲面

定值;曲率的曲面 surface of constant curvature | 定值平均曲率的曲面 surface of constant mean curvature | 定值全曲率的曲面 surface of constant total curvature

surface of constant mean curvature：定值平均曲率曲面

11812,"surface of constant curvature","定值曲率曲面" | 11813,"surface of constant mean curvature","定值平均曲率曲面" | 11814,"surface of constant total curvature","定值全曲率曲面"