查询词典 manifold

Today, the main means of the study of the 3-manifold are the algebraic method, geometrical method,and combinatorial method.

目前，关于三维流形理论的研究主要有代数方法，几何方法和组合方法。

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论，包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学，文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

The Laplace matrix is an active and important subject in Algebra Graph Theory. It is a discrete form of the Laplace operator on the compact Rimannian manifold acting on the graphs. It has been widely used in many fields such as Physics, Chemistry, Biology, Computer net science and Information theory ,etc. Some results on the Laplace matrix are given in this thesis.

本文主要研究了代数图论中的一个课题：单圈图的Laplace谱，它是黎曼流形上的拉普拉斯算子在图上的离散形式，Laplace矩阵在物理、化学、生物和计算机通信网络研究等学科中有着广泛的应用。

Formwork is a kind of temporary structure of multilevel force transfer, the force transfer route is usually as follow: load→form→inner ridge→outer ridge→post, after fixing the material of formwork, there are manifold possible compages of formation of formworks.

模板是一种多级传力的临时结构，传力路线一般是：荷载→模板面板→内楞→外楞→立柱，当模板的用料确定后，模板的构造有多种可能的组合。

Taking the plate tectonics as leading theories, combining outcrop, seismic techniques, drilling and logging datum, inter-verifing manifold researching methods, The paper has amply researched the region. discussed the coupling relation of basin-mountain and the geodynamics system; analyzed geologic tectonic characteristics of the basin; confirmed superposed alteration in Mesozoic of the basin; recompartmentalized tectonic units of the researching region and the basin; studied the tectonic evolution of the basin since Mesozoic; ascertained four large tectonic layers and five tectonic evolution process stages in different ways of formation and tectonic alteration; established different tectonic stages、compages、models and sedimentary filled processes, based on the organic geochemistry and oil-gas geologic characteristics in middle Cenozoic of the basin, the conclusions have been summarized in the paper, such as:The primary source rock in lower Permian and subordinate source rock in upper Triassic are developed in the region with better quality, and secondary hydrocarbon is possible; The bearing system which is comparted by three large tectonic layers and two unconformity surfaces formed in Palaeozoic、upper Palaeozoic to Triassic and Cenozoic developing in the region, compounded with reservoirs of different lithology is developed in the region, while the property of tectonic fracture reservoir is better; Based on the analyzing petroleum accumulation elements and preserving conditions, the deep depressing belt in the north of Luoyang depression、Shiling-Yiyang folded fault belt in Yiyang depression and wide anticline belt in Yichuan depression are advantageous petroliferous region, Zhaizhen anticline in Luoyang depression and Shimen wide anticline on footwall of overthrust in Yichuan depression are optimum tectonic traps.

本文以板块构造理论为指导思想，采用露头区野外地质与盆地地震、钻井、测井资料密切结合，多种测试方法互检的研究方法，探讨了盆山耦合关系及其所控制的地球动力学系统；分析了研究区域和盆地地质结构构造特征，确定了中生代盆地的叠合改造性质，并重新划分区域构造单元和盆地构造单元，深入研究了洛阳—伊川盆地自中生代以来的构造演化；确定了成盆作用和构造改造作用的四大构造层和五期不同方式、方向的构造演化过程；建立了不同构造阶段的构造组合和样式及与构造相关的沉积充填过程；在此基础上通过多种有机地球化学指标，研究盆地中新生代油气地质特征，认为本区发育下二叠统区域主力烃源岩、上三叠统区域非主力烃源岩，两套烃源岩质量均较好，并具备二次生烃条件；认为本区发育古生界、上古生界—三叠系和新生界三大构造层、两个不整合界面分隔、不同岩性储集层叠置组合和构造裂隙型储集层的复式储集体系，其中构造裂隙型储集层储集性能较好；依据油气成藏条件和保存条件分析，认为洛阳凹陷北部深凹带、宜阳凹陷内石陵—宜阳褶断带以及伊川凹陷伊川宽阔背斜带为较有利含油气区，有利的构造圈闭是洛阳凹陷翟镇背斜和伊川凹陷的石门逆冲断层下盘的宽缓背斜

Looking over the manifold jurisdiction of ICC, under the provision of ICC Statute, the ICC jurisdiction is hesitating among the nature of complementariness, universality and compulsion and shows different points and levels of jurisdiction when it is operated.

透视国际刑事法院管辖权内容上的多维性特征可见，《罗马规约》规定的国际刑事法院管辖权游弋于补充性和普遍性与强制性之间，体现了适用上的多角度、多层次和多维空间。

With the help of nonlinearization approach, the Lenard spectral problem related to the DNLS hierarchy is turned into a completely integrable Hamiltonian system with a Lie-Poisson structure on the Poisson manifold

通过非线性化方法，证明了与DNLS孤子族相联系的Lenard特征值问题在具有Lie-Poisson结构的Poisson流形C~N×R~N上是完全可积的Hamilton系统。

By mean of the method of upper and lower solutions, we will obtain a existence theorem like Kazdan-Warners. Using this theorem, we will study the vortex equation in holomorphic line bundle over complex manifold and prove a theorem of existence of Hermitian metric with a prescribed holomorphic section.

在本论文的最后部分，我们在紧复流形上讨论一类Kazdan-Warner型方程，用上下解方法得到了光滑解存在的Kazdan-Warner型定理，并将其用于研究全纯线丛的涡旋方程，得到了一个具有预定全纯截面的厄米度量的存在定理。

The effects of this phenomenon can really be manifold and complex.

这一现象的后果可能是多种的、复杂的。

The reasons for lack of honesty and credit in the modern society are complex and manifold.

现代社会诚信缺失现象的原因是复杂的，多方面的。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。