查询词典 birational invariant

For a positive recurrent Markov chain, there exists a unique invariant distribution. It is interesting to study that under what conditions a Markov process has an invariant measure. This question has been studied by many authors.

对于正常返的Markov链而言，它存在唯一的不变测度，在什么条件下一个Markov过程存在不变测度是非常有趣的问题，这个问题已经被一些学者研究过。

Then,we discuss the question that when there is a q-process P,such thatπwhich is theμ-invariant measure orμ-subinvariant measure of a given q-pair,is theμ-invariant measure of P...

第三章分别分了三种情形，对给了保守或π-非保守q-对的μ-不变测度或μ-次不变测度π，何时存在q-过程P，使得π是P的μ-不变测度的问题进行了讨论研究。

Even weassume that such an invariant measure exists,there are still problems related to the nonex-istence of the corresponding functional integral when we apply this technique to concreteproblems,such as constructing gauge invariant operatorsout of gauge variantones.

即使我们假设这样一个不变测度存在，当我们将这一技术应用到具体问题时，比如由规范非不变的算符构造规范不变的算符，仍然存在由于相应的泛函积分不存在而带来的问题。

The relationship between the invariant test and the CFAR property is studied. A theorem is founded about the proof of CFAR property using the concept of invariant test.

研究了不变检验与恒虚警率性质之间的关系，得到了利用不变检验概念证明恒虚警率性质的定理。

We prove that every isolated invariant set of averaged autonomous equation can continuous to an isolated invariant set of skew-product flow associated to the non-autonomous equations.

证明了平均自治方程的每个孤立紧不变集可以连续到非自治方程的斜积半流的孤立紧不变集上。

This algorithm was realized by minimizing the invariant ellipsoid of the closed loop system. Some sufficient conditions dependent on the invariant set for the satisfaction of the time domain hard constraints were also derived.

在系统初始状态小于某个界的情况下，将性能输出的能量作为优化的性能指标，通过最小化系统的不变椭圆域来实现系统优化控制，同时得到依赖于该不变域的满足时域硬约束的充分条件。

In Chapter 1, we state some notions and results on the limit set and the attractor of Conley invariant set theory, and give some sufficent condtions for an invariant set to be a quasi-attractor.

总共分四章。第一章，简要介绍了C.Conley不变集理论中有关极限集，吸引子的概念和结果，并给出了判定不变集为拟吸引子的一些充分条件。

The well-known invariant subspace problem is A long-standing problem in operator theory,which has been to determine whether every operator $T$ on a Banach space $X$ must have a nontrivial invariant subspace.

不变子空间问题是一个尚未解决的问题， Enflo反例所给出的没有不变子空间的算子不为任何算子的共轭。

Secondly, the concept of column space, cyclic invariant subspace and generalized cyclic invariant subspace were introduced.And some basic properties, such as separation lemma, were presented.

其次，引入列空间、循环不变子空间和广义循环不变子空间等基本几何概念，给出一些有关概念的基本性质，特别是分离引理。

Thin film equations; nonlinear cross-diffusion systems; two-dimensional nonlinear reaction-diffusion equations; invariant subspace method; invariant sets

基础科学，数学，数学分析薄膜方程；非线性交错扩散方程组；二维非线性反应扩散方程；不变子空间方法；不变集

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。