查询词典 codimension

In recent years, remarkable progress has been made by [23], [24], [39], [41] and [43] in Bernstein type problems of minimal submanifolds with higher codimension and special Lagrangian submanifolds.

由于LawsonOsserman在[31]中所提出的反例，我们不能希望有关高余维的Bernstein型定理在最一般的情况下是正确的。

In the first chapter,we discuss the problem of (Z_2)~k-actions with fixed point set of constant codimension.

在第一章中，我们对具有常余维数不动点集的(Z_2)~k作用进行了研究。

Using the formulations given in this dissertation, one can easily obtain the normal forms for codimension two bifurcations of map.

利用文中所给公式。很容易获得映射余维二分叉的范式。

Additionally, it has also been proved that the bifurcation problem with respect to frequence possesses infinite codimension. Therefore the dynamical bifurcation behavior is very complex in this case.

另外还证明：关于频率的分岔问题具有无穷余维，因此该情形下的动力学分岔行为非常复杂。

It is found that a codimension 2 bifurcation can be produced by a constant treatment rate, and a backward bifurcation occurs due to a nonlinear treatment rate.

发现了常数治愈率引起余维2分枝，非线性治愈率导致后向分枝，比较了标准发生率和双线性发生率对传染病演变趋势的影响。

Local codimension two bifurcation of maps,associated with Hopf-pitchfork case,is analyzed using the center manifold theorem and normal form method of maps.

应用映射的中心流形和范式方法，研究了映射在Hopf-pitchfork余维二分岔点附近的参数开折，揭示了含间隙振动系统在余维二分岔点附近的动力学行为。

Moreover, in the parameter plane determined by some two parameters,we discuss codimension two bifurcations caused by the intersections of two bifurcating curves.

同时，在两个参数确定的半参数平面上，我们通过分岔(来源：46e646ABC论文网www.abclunwen.com)曲线的交点讨论了余维2分岔的存在性，即等变Pitchfork-Hopf分岔和Hopf-Hopf分岔。

According to normalforms that we obtained,we study universal unfolding for some degenerate bifurcationcases of codimension three and some simple global characterizations.

利用共轭算子法研究了具有幂零线性部分和不具有Z2—对称性的非线性动力系统的2阶规范形、3阶规范和4阶规范形，讨论了几种余维3退化分岔情况下的普适开折问题及其一些全局特性。

The results show that the universal unfolding with respect to the excitation amplitude possesses codimension 3. The transition sets in unfolding parameter plane and the bifurcation diagrams are plotted under some conditions.

结果表明：关于外部激励振幅的普适开折具有余维3，在某些条件下，得到了转迁集及分岔图。

The main advantages of the methodare that(1)this method is valid for all kinds of bifurcation pointswith the codimension ≤3;(2)it does not use any informations forsecond order derivatives and does not need the bifurcation point to beknown accurately in implementation;(3)it is sufficient to implementthe method that a standard continuation procedure is only used;and(4)derivation of the method is independent on the asymptotic expan-sions of the bifurcation solutions.

这种方法的主要优点是：(1)适应于一切余维数不超过3的分支点；(2)不需要任何二阶导数的信息，也不必精确地知道分支点的位置；(3)只需使用标准延拓软件就可以实现；(4)方法不依赖于分支解的渐近展式。

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。