- 更多网络例句与非退化集相关的网络例句 [注：此内容来源于网络，仅供参考]
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A nondegenerate simplex is one for which the set of edges adjacent to any vertex in the simplex forms a basis for the space.
一个非退化的单纯形是与任意顶点相连的边集组成空间的基。
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Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.
本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。
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Libermann.The early researcheson this kind of manifolds were closely related to Physics and Mechanics.But since1991,S.Kaneyuki published his result on the algebraic condition for the existence ofinvariant〓structures on a coset space,Lie theory has played the most impor-tant role in the study of this kind of manifolds.In particular,dipolarizations in a Liealgebra are closely related to the homogeneous〓manifolds.Dipolarizationsin semisimple Lie algebras and the homogeneous〓manifolds associated withthese dipolarizations have been studied by S.Kaneyuki,Z.X.Hou and S.Q.Deng.Inthe partⅡ of this thesis we study the dipolarizations in some quadratic Lie algebrasand the homogeneous parakahler manifolds associated with these dipolarizations.
Libermann给出的，早期的有关类流形的研究与物理和力学密切相关，自从1991年金行壮二发表了陪集空间上存在不变仿凯勒结构的代数化结果后，李群及李代数理论在这类流形的研究中起着主要作用，特别地，李代数的双极化与这类流形密切相关，半单李代数的双极化的相关几何，金行壮二，候自新和邓少强等人已作了研究，二次李代数是比半单李代数更广且带有非退化不变双线性型的李代数，本文主要研究了二次代数的双极化及相关几何。
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First image and inverse image of refinement of semi-topogenous order on L been defined by GOH.
并由此得到一维非退化扩散过程样本轨道的象集和逆象集的Hausdorff维数。
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In [2], we also consider nondegenerate homoclinic tangency and shows that the homoclinic point is accumulated by a sequence of uniformly hyperbolic invariant sets.
在[2]中，我们研究非退化性的同临相切，证明同临相切点会被一序列的一致双曲不变集所聚集。
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In [2], we also consider nondegenerate homoclinic tangency and shows that the homoclinic point is accumulated by a sequence of uniformly hyperbolic invariant sets.
在[2]中，我们研究非退化性的同临相切，证明了同临相切点会被一串一致双曲不变集所聚集。
- 更多网络解释与非退化集相关的网络解释 [注：此内容来源于网络，仅供参考]
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nondegenerate distribution：非退化分布
nondegenerate critical point 非退化临界点 | nondegenerate distribution 非退化分布 | nondegenerate set 非退化集
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nondegenerate set：非退化集
nondegenerate distribution 非退化分布 | nondegenerate set 非退化集 | nondense set 疏集
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nondense set：疏集
nondegenerate set 非退化集 | nondense set 疏集 | nondenumerability 不可数性
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nondense set：非稠密集
non-degenerate conic section 非退化二次曲线 | nondense set 非稠密集 | nondense subset 非稠密子集
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polarity：配极
这是虚卵形面、实卵形面或直纹二次曲面.一个 非退化二次曲面确定一个对射变换(correlation)(或 配极(polarity)),即从射影空间的点集到平面集上的 一一映射.一个直纹非退化二次曲面有两个不同的生 成元族,