证明了任何一个内算子值函数都具有正合的无限时间可控和正合的可观测的适定的系统实现。
We show that any inner operator valued function has an exact infinite time controllable and exact observable well posed realization.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
我们研究含非稠定闭线性算子的积-微分方程。
Integro-differential equations with nondensely defined linear operators in Banach space was considered.
传统的边缘检测算子一般都只能得到比较宽的边缘，这为以后的图像处理带来了一定的困难。
The traditional image edge detection operators can only get very wide edges usually, which makes it difficult for the later image processing.
在一定条件下，异常划分算子就是向上延拓算子。
Under certain conditions, the operator of anomaly separation is simply an upward continuation operator.
在一定的条件下证明了，除至多有限个外，人口算子复本征值的代数重数均为1。
Under certain condition it is proved that all the complex eigenvalues of this operator, except at most finitely many ones, are of algebraic multiplicity 1.
传统的图像边缘检测算子一般都只能得到多像素宽边缘，这为后续的图像处理带来了一定困难。
The traditional image edge detectors can only get multiple-pixel-wide edges usually, thus it is difficult to operate by post-processing methods.
修正后的边缘检测算子在一定程度上克服了边缘的模糊性，提取出更多的细节边缘，又能有效地消除噪声的影响。
The modified edge detection operators can not only overcome the fuzzy of edge to some extent and extract more details of edge, but also effectively eliminate the impact of noise.
本文介绍了用时间倾斜算子来处理非定常计算中非等栅距的方法。
A numerical method for the calculation of unsteady stator/rotor interaction in turbomachinery stage of arbitrary pitch ratio using time-inclined operator is presented.
另一方面提出了在一定错分率存在的条件下的模糊集合间的相对错分率，之后结合这两个理论给出了基于模糊邻域算子的模糊变精度粗糙集模型。
Then, the mistake classification rate between two fuzzy sets is defined. Later, fuzzy variable precision rough set model is proposed based on the two definitions.
同时在一定条件下引入免疫算子，进行接种疫苗和免疫选择，有效缓解了SGALB的退化现象。
Meanwhile, the degradation of SGALB was effectively alleviated by introducing immune operator and carrying out the vaccination and immune selection under certain conditions.
本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。
In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space.
本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。
In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space.
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