欧拉类(Euler class)是实向量丛底空间的一个上同调类。定向实n维向量丛ξ的欧拉类是上同调类e(ξ)∈Hn(B;Z),在标准同构 π*:Hn(B;Z)→Hn(E;Z)下,它对应于u|E,其中u是Hn(E1E0)中惟一的上同调类,限制在Hn(F1F0)中是标准的定向类。这里的E为全空间,B为底空间。
第二类欧拉积分 the second kind Euler integral
Secondly, based on the decomposition of gauge potential and the φ-mapping theory, φ-topological field theory of vector and spinor field is established and the Euler class is quantized by nodal indices of vector field.
其次,基于规范势的向量和旋量分解以及φ-映射理论,论文建立了向量场和旋量场的φ-映射拓扑场论,并将欧拉类用这些场的缺陷指标表征。
参考来源 - 以广函数为基础的φ·2,447,543篇论文数据,部分数据来源于NoteExpress
在弹性力学问题的极坐标解答中,经常会遇到一类可转化为欧拉方程的常微分方程。
A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems.
主要考虑外平面图,系列平行图和平面欧拉图这三类特殊的平面图。
In this paper we prove that the problem is polynomial solvable on several special classes of graphs, such as outerplanar graphs, series-parallel graphs and Eulerian planar graphs.
采用降阶和特征根 (欧拉 )方法 ,给出了一类三维二阶常系数微分方程组的通解公式 ,并通过算例与拉氏变换法进行了比较。
With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients.
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