查询词典 odd dimensional space

However,there have been no papers which have investigated Minkowski and Minkowski slant helices and Minkowski conical geodesic curves so far as.In this paper,our major study is to give the definition of Minkowski general helix and Minkowski slant helices and Minkowski conical geodesic curves in indicators 1 in pseudo-Euclidean three-space (that is, three-dimensional Minkowski space), and study the definition of equivalence Minkowski general helix, By considering geometric invariants of these space curves, we can estimate the order of contact with those special curves for general space curves.

本篇文章主要研究在指标数为1的3维伪欧氏空间(即三维Minkowski空间)中，我们给出Minkowski一般螺线、Minkowski斜螺线和Minkowski锥面测地线的定义，研究Minkowski一般螺线的等价定义，给出Minkowski斜螺线和Minkowski锥面测地线作为三维Minkowski空间中的特殊曲线所特有的性质，并通过考虑三维Minkowski空间曲线的几何不变量，估计Minkowski斜螺线和Minkowski锥面测地线这两种特殊曲线和一般Minkowski空间曲线切触的阶数。

E. , the competition between the n - p interaction and the coriolis force in low K space is also appropriate for odd-odd nuclei in the A = 100 region.

迄今为止，对于奇奇核的旋称反转机制到底是什么和是否存在一种适用于各个不同质量区的普遍机制仍没形成共识。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

As face space is always believed to be a low-dimensional submanifold embedded in high-dimensional ambient space, many methods of subspace feature extraction adopt manifold learning to explore intrinsic structure of face patterns.

在人脸识别中，提取有效的鉴别特征是实现人脸准确识别的一个关键因素。

This design solved the Lasso location because of changes in the three-dimensional space brought about by the department of traction rod anchor the top basket in the three-dimensional space should also be able to move the question.

这种设计解决了由于拉索位置在三维空间变动而带来的牵引杆锚固端相对于挂篮也要能够在三维空间移动的问题。

Its Principal component analysis is used to establish a contact high-dimensional data space and movement style annihilator low-dimensional space mapping.

本方法基于子空间技术。主成分分析方法被用来建立一个联系高维运动数据空间和低维风格化子空间的映射。

The unsaturated and compacted soil triaxial test result under constant suction describes the unsaturated soil critical state surface in p-q-s three dimensional space: in p - q plane, the slope M of critical state line is independent of suction; the cross line of LC yield surface and critical state surface is a curve with extremum in three dimensional stress space, and its projection in p-s plane is located in quadrant 1 in triaxial compression state; its projection in q-s plane has asymptote, and there should also be asymptote in respect of the curve that stands for the function relationship between cohesive and suction.

基于局部变形测量的常吸力非饱和压实土三轴剪切试验结果，全面描述了非饱和土p—g—s三维应力空间中临界状态面的合理形态：在p—q平面，临界状态线斜率M是与吸力无关的物理量；临界状态面与LC屈服面交线在三维应力空间中是一条存在极值的曲线；该交线在p—s平面的投影曲线在三轴压缩应力状态下应位于第一象限；该交线在q—s平面的投影曲线应存在渐近线；反映凝聚力与吸力关系的函数曲线也应存在渐近线。

According to Professor Shi Changjie, the reason for production with both 2D and 3D software is to preserve the original illusory world of Jimmy and to create multiple yet realistic impressions of space."A Fish With a Smile " achieves this feat through production despite the incredibility of the outside world, and really constructed from the two-dimensional world as depicted on flat surface a three-dimensional world of strangeness and wonder. 3D director Duan Yilun has said that ordinarily, 3D hardware is used mainly to express special 3D spaces or different angles in film, but in accordance with the light colors of Jimmy's original works and in search of a realistic space that can arise from the pages of the story, the sculpting of the set, light direction and camerawork have all transformed into high difficulty, high skilled manipulations.

石昌杰老师表示，以2D加3D软件制作动画，为的就是能保留幾米绘本的梦幻又要创造出多元真实的立体空间，而这次《微笑的鱼》主要就是得成功克服外界存疑的制作方式，真正让幾米平面绘本世界变成立体绮幻场景。3D导演段奕伦说到平时3D硬件较多用于表现特殊立体空间转换与场景调度，但在兼顾幾米绘本本身的淡彩质感与为求达到从平面进入立体空间的真实感，场景的塑成、灯光与运境的掌握就都是高难度的技术操作。

And then, we prove the coincidence relation between one skyline point of high dimensional space and the most mild points of one subset, thus enabling it to transform skyline computing in high dimensional space to figuring out the most mild points in all subsets.

为此，本文首先提出了高维数据集上"平和点集"的概念，它由各属性值中的最小值比数据集中其他点对应最小值"好"的那些点组成；然后，论证了"平和点集"中最大平和点和skyline点的对应关系，从而转化高维数据集上skyline计算为其任意子空间上的最大平和点计算。

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n＜∞;n≥5, c=-1 and H＜1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明：若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一：n≥3，c=0且integral from n=M H~n＜∞；n≥5，c=-1且H＜1-2/n~(1/2；n≥3，c=1且H有界的，则M上L~2调和1-形式空间的维数是有限的，这里H为M的平均曲率。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。