多维几何

The domain decomposition parallel iterative algorithm for the 3-D time-dependent neutron transport difference equation is presented in Chapter 5. This algorithm is highly parallelizable and scalable.

第五章研究了基于几何空间区域分解的三维非定态中子输运差分方程的并行迭代算法，该算法达到了多处理机并行的高并行度和可扩展性。

Aiming at the problem of coarse footmark surface with severe noises, based on the in-depth analyzing geometrical relationship and differential characteristics of the three-dimensional footmark impressing surface, we propose a principal curvature and principal direction based impressing surface segmentation algorithm and a multi-scale fusion algorithm to segment the stereo footmark.

针对立体赤足迹表面粗糙、噪声严重的特点，深入分析立体足迹三维表面的几何关系和微分特性，提出了基于曲面主曲率和主方向的立体足迹压力面分割算法和多尺度融合算法，分割结果理想并与领域知识吻合。4。

Let me now reinsert the space you deliberately subtracted for your question, so you can feel the torque

这样就使诗歌页面上形成一种曲线空间，一种多维度的空间，而不是一种二维的欧几里得几何空间。

An algorithm base on Pro-ESPRIT and MR-ESPRIT of simultaneous estimation of frequency and 2D AOA with spatial-temporal sub-Nyquist sampling is proposed. The frequency estimation algorithm is suit for arbitrary geometry of antenna array.

提出了基于时空欠采样条件、Pro-ESPRIT方法和多分辨意义下的宽频段入射信号频率和二维到达角估计方法，并指出，其中的频率估计算法适用于任意几何结构阵列。

Firstly, all candidate 3 D vertices are generated from 2 D points in each of three orthographic views.

现有的利用三视图重建三维形体的方法中应用最多的是几何元素分层重建法[1 ，2 ] 。

For m-modal maps with m turning points C1,C2,…,Cm, by defining equivalent scaling factors α_e as the geometric average of all scaling factors α_Ci (i=1,2,…,m),|α_e|=|α_C1α_C2…α_Cm|1/m, global superuniversal relationship between equivalent scaling factors α_e and fractal dimensions d of Feigenbaum-type attractors on all the infinitely many critical points of transitions to chaos is obtained: dlog_|α_e|=β~, where|W| is the basic period of the m-tuply superstable sequences W, and β~ is not only independent of the concrete sequences W, but also independent of the concrete maps.

对于具有m个转变点C_1，C_2，…，C_m的m峰映射，通过定义等效标度因子α_e为所有标度因子α_(i=1，2，…，m)的几何平均，|α_e|=|α_(C_1)α_(C_2)…α_|~(1/m)，得到了等效标度因子α_e与所有无穷多个转变至混沌的临界点上Feigenbaum型吸引子的分维d之间的一个整体性的超普适关系：dlog_|α_e|=β~(e，其中|W|是m超稳序列W的基本周期，超普适常数β~(e不仅不依赖于具体的序列W，而且也不依赖于具体的映射。

For m-modal maps with m turning points C1,C2,…,Cm, by defining equivalent scalingfactors α_e as the geometric average of all scaling factors α_Ci (i=1,2,…,m),|α_e|=|α_C1α_C2…α_Cm|1/m, global superuniversal relationship between equivalent scaling factors α_e and fractal dimensions d of Feigenbaum-type attractors on all the infinitely many critical points of transitions to chaos is obtained: dlog_|α_e|=β~, where|W| is the basic period of the m-tuply superstablesequences W, and β~ is not only independent of the concrete sequences W, but also independent of the concrete maps.

对于具有m个转变点C_1，C_2，…，C_m的m峰映射，通过定义等效标度因子α_e为所有标度因子α_(i=1，2，…，m)的几何平均，|α_e|=|α_(C_1)α_(C_2)…α_|~(1/m)，得到了等效标度因子α_e与所有无穷多个转变至混沌的临界点上Feigenbaum型吸引子的分维d之间的一个整体性的超普适关系：dlog_|α_e|=β~(e，其中|W|是m超稳序列W的基本周期，超普适常数β~(e不仅不依赖于具体的序列W，而且也不依赖于具体的映射。

As a method, scholasticism involves (1) the close, detailed reading of a particular book recognized as a great or authoritative work of human or divine origin - for example, Aristotle in logic, Euclid in geometry, Cicero in rhetoric, Avicenna and Galen in medicine, the Bible in theology - and (2) the open discussion in strict logical form of a relevant question arising from the text.

作为一种方法，士林涉及（ 1 ）关闭，详细阅读一书，特别是公认的作为一个伟大的或权威性的工作人或神的原产地-例如，亚里士多德在逻辑上，在欧几里得几何，西塞罗在修辞，阿维森纳和盖伦在医学上，圣经在神学-和（ 2 ）公开讨论在严格的逻辑形式有关问题所产生的案文。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。