查询词典 invariant subspace

Quasi-invariant subspaces similar to the quasi-invariant subspace generated by z+w are completely depicted.

给出了和z+w生成的拟不变子空间相似的拟不变子空间的完全刻画。

In particular, the paper gives a new description of the largest simultaneous invariant subspace contained in a given subspace H.

特别对 包含在给定子空间H中的最大同时不变子空间给出了新的描述。

Every reducible subspace of $T$ is invariant subspace of $T$ too.

人们自然相信，有不变子空间的算子可能有共轭。

At first, some properties in the sampling subspace are classified. Then, that the subspace spanned by the translation of a function is also a subspace is proved in the shift invariant subspace.

首先通过Zak变换刻画了抽样空间的一些性质，然后证明了在一个平移不变的抽样空间中，由其中任一个函数的整平移所张成的子空间也是抽样空间。

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。

The whole state space is divided into invariant subspace, safe subspace, dangerous subspace and dead subspace according to the constraints and the safe margin of the system, and the state reference trajectory is chosen with respect to the subspace in which the state prediction lies in, in this way GPC is applied under the prerequisite for the viability of the system.

研究了系统在线性不等式约束条件下的预测控制问题，将广义预测控制算法化为对控制量的一步优化，根据约束条件和输出预测在线修改控制量的加权系数，提出了一种变加权系数的改进算法，使系统始终满足给定的约束条件。

In chapter 2, first of all,we characterize subspace V_0 of multiresultion analysis {V_j}_~ based on invariant subspace. Subsequently, we consider the equivalent conditions among orthogonal multiwavelet Ψ=(Ψ_1,Ψ_2,...Ψ_r)~T, subspace, basis and dimension of subspace, properties of filter function matrix P are dealt with.

第二章讨论了多尺度分析{V_j}_~中子空间V_0的性质，进而讨论了多尺度分析生成的多重正交小波Ψ=(ψ_1，ψ_2，…，ψ_r)~T和子空间V_0以及基和维数之间的等价关系，分析了滤子函数矩阵P的性质，最后给出了r阶矩阵函数P生成尺度函数Φ的充分条件。

Equivalently, it can be raised as follows: for an A operator T, if M and N are two invariant subspaces of T satisfying N include M and dimN/M=∞, then does there exist another invariant subspace L such that N include L, and L include M ? It is rather difficult to study the invariant subspace problem of general diagonal operators.

研究表明它可以约化为对角算子的不变子空间的情形，具体地它有如下的等价提法：对于A算子算T，，如果M和N是T的两个不变子空间，满足且dimN/M=∞，那么是否存在T的另一个不变子空间L使得M包含于L，且L包含于N？

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

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。