查询词典 circle geometry

In fact, the construction of the geometry structure would be ill-use of a series of qualified formula in tensor analysis and where there is perplexity about coordinate system, reference system and geometry space.

事实上，相关几何结构的构建不仅混淆了坐标系、参照系、几何空间等彼此不同的基本概念，而且，只是对张量分析中若干"条件成立"公式的滥用。

Integral geometry, web geometry, complex analysis, and characteristic classes.

愚蠢，像一个因为知之甚少，所以才会相信报酬递增率的雏鸡。

The idea of Gauss initiated the study of "intrinsic geometry" and made differential geometry an independent subject of mathematics.

由此开创了曲面的内蕴几何学的研究，使微分几何成为一门真正独立的学科。

Contemporary differential geometry is intrinsic , meaning that space is a manifold and structure is given by a Riemannian metric , or analogue, locally determining a geometry that is variable from point to point.

微分几何，这是简单的几何的曲率，已越来越重要，因为对数学物理的建议空间不是平坦的空间。

Gauss（1777—1855）; intrinsic differential geometry ; non-Euclidean geometry ; Gaussian curvature ; Gauss-Bonnet Theorem

高斯（C.F.Gauss ； 1777—1855）；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

In this method, a feature vector with desirable characteristics including spatial locality, frequency and orientation selectivity is obtained by DT-CWT. Then, the dimension of the vector is linearly reduced by ONPP, thus effectively preserving the intrinsic neighborhood geometry of the vector and the global geometry.

先通过DT－CWT得到具有空间、频率以及方向特征的人脸特征表示，然后使用ONPP对特征向量进行线性降维，有效地保持了数据的局部与全局的几何特征，最后进行识别测试。

Gauss （ 1777-1855 ）; intrinsic differential geometry; non-Euclidean geometry ; Gaussian curvature ;Gauss-Bonnet Theorem

高斯（C.F.Gauss，1777—1855）内蕴微分几何学非欧几何高斯曲率高斯-博内定理

Gauss(1777—1855);intrinsic differential geometry;non-Euclidean geometry;Gaussian curvature;Gauss-Bonnet Theorem

Gauss，1777-1855；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

Based on the summarizing of the exiting algorithms of the texture mapping and antialiasing, this paper goes deeply into the basic theory and processing of texture mapping. The texture compress algorithm which can satisfy the need of the memory and time is given for the stochastic sampling in the inverse texture mapping; the geometry transformation in the texture mapping are discussed and the concepts of the unitary parametrization and the patch parametrization is proposed, some kinds of the unitary parametrization methods of parametric surfaces and the geometry transformation in the patch parametrization are also presented; in order to solve the aliasing in the parametrization of intermediate surface-sphere in two-part texture mapping, an area-preserving transformation is presented also; to improve the quality of the graph the aliasing in the texture mapping is analyzed from the aspect of signal process, and the modified summed-area tables algorithms is proposed; the distortion of the scanline conversion algorithms under perspective transformation is analyzed and the proper interpolation algorithm is presented so the aliasing problem of the polyhedral object after the unitary parametrization is efficiently solved.

本文在总结现有的纹理映射和反走样算法的基础上，深入研究了纹理映射的基本原理与过程，根据反向纹理映射对纹理随机采样的特殊要求，提出了一种可满足存储空间和寻址时间的纹理压缩存储算法；通过对纹理映射中几何变换理论的进一步深入探讨，提出了整体参数化和面片参数化的概念，并给出了参数化曲面的各种整体参数化方法和面片参数化的几何变换形式；针对现有的两步映射算法所存在的中间曲面—球面的参数化问题，提出一种等积映射方法，较好地实现了由非参数化面片拼接而成的多面体表面的纹理映射；从信号采样的角度深入分析了纹理映射中走样产生的原因，提出了改进的区域求和表算法，使图形生成的效果有所提高；还分析了一般的扫描线算法在透视变换中所存在的问题，提出了一种正确的插值算法，从而解决了整体参数化后多面体表面纹理映射的几何变形问题。

Because of mechanism parameters unknown and complicated mathematical calculations,it is very difficult for us to identify screw system independence. However,Klein projective geometry theory is used to discuss screw system dependence in this paper. As a result,it is very easy for us to identify screw system dependence by Klein projective geometry theory,so the problem of discriminating input selecting reasonability is solved.

将Klein映射理论应用到多自由度输入选取的判别中，讨论了3力3偶螺旋系的相关性，给出了相关性的判据，使相关性判别变得非常简单，避免了输入选取判别中复杂的数学运算和机构参数未知的问题，从而解决了输入选取的判别难题。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？