本文给出了U -标算子经连续算子演算后有界的充分条件。
The sufficient conditions are given for the continuous calculus of U-scalar operators to be bounded.
本文得到了拟弱连续算子的几个不动点定理，并用迭代法求出不动点。
In this paper, we obtained some fixed point theorems of the quasi-weakly continuous operators and found out these fixed points by iterative technique.
本文讨论可数模空间上全连续算子的有限维逼近定理及该空间的一些性质。
In this paper the properties and fixed point theorems of completely continuous maps on denumerable norm Spaces are studied.
本文得到全连续算子和锥映象的新的歧点和渐近歧点定理，并指出它们的固有值的某种全局特征。
We get a new theorem of the ambiguous points and a new theorem of the asgmptotic ambiguous point on the condensing mapping, and we point out some global characteristics of their eigenvalues.
良有界算子是这样一类算子，它对于在某个紧区间上绝对连续的函数具有有界的函数演算。
Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.
证明了连续信号传输算子的存在定理。
An existence theorem of continuous signal transfer operator is given.
然后从故障检测的角度引入算子，定量考察连续时间未知输入信号和故障信号对离散时间残差信号的影响。
Then an operator is introduced from the viewpoint of fault detection to describe quantitatively the influence of the continuous-time unknown inputs and faults on the discrete-time residuals.
对半正定线性算子方程考虑了一类连续正则化牛顿方法，给出了收敛证明，得到了收敛率。
A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.
全面系统地论证了线性时不变连续系统传输算子的基本性质。
The basic properties of a transfer operator of a linear time-invariant continuous system are proved comprehensively and systematically.
本文应用遗传算法，采用基于“链码”的编码方式和数学形态学的变异算子，设计了一种连续体结构拓扑优化的新方法。
A novel algorithm for topology optimization of continuum structures has been designed on the basis of "chain-code" encoding and mathematical morphologic operators.
定理3X是囿空间的充要条件为：每个从X到Y的一致有界的线性算子族都是等度连续的。
Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.
利用锥理论和单调迭代技巧讨论了一类逐点次连续的混合单调算子不动点的存在性问题。
Cone theory and monotone iterative technique are used to discuss the existence for a kind of mixed monotone operators with pointwise sub-continuity.
保留锥P为正规锥，将增算子A减弱为弱连续。空间E减弱为弱完备，在条件减弱的情况下，仍然得到了增算子不动点的存在性。
In this paper, we retains the cone P normal cone, increasing operator A weaken the weakly continuous operator, space E weaken the weak complete space.
给出了一类连续模糊算子。
线性算子为紧线性算子必须且仅须它可由一列有限秩连续齐性算子一致逼近。
It follows that a linear operator is a compact linear operator iff it an be approximated uniformly by a sequence of finite rank continuous homogeneous operators.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。
In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.
仿真结果表明：该方法去噪效果好，能提取图像中较弱的边缘，且边缘具有很强的连续性，明显优于传统的边缘检测算子。
The result of simulation shows that the method can detect weak edges which possess strong continuity and anti-noise property, also is superior to the traditional edge detection operators.
利用锥理论和非对称迭代方法，讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性。
By using the cone theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions.
本文从连续图像出发，将二阶偏微分算子应用于影像函数，利用多重网格算子能得到近似影像的性质，得出一种多分辨影像分解的方法，经过图像重建过程得到融合影像。
Using the so-called approximation of image property by a multi-grid operator, we can derive a method of multi-resolution decomposition of the image, thus the fusion image is formed by reconstructing.
得到了分[数]指数空间一算子的强连续性和最优控制的存在性定理。
We give strong continuity of an operator connected with fractional power space and obtain existence of optimal controls.
结论推广了线性算子半群的范数连续性质保持，丰富和完善了非线性算子半群的理论。
The result derived extends persistence of norm continuity of linear strongly continuous semigroups and enriches theory of semigroups of nonlinear operators.
将离散系统振动分析中的通用的矩阵摄动法推广到连续系统。 采用弹性结构理论算子，对连续系统的振动特征值摄动问题进行统一描述。
A united solution procedure for eigenvalue perturbation problem in structural vibration analysis of continuous systems is proposed with the aid of operator operation.
文中的算子不具有任何连续性和紧性，也不要求算子是某序区间上的自映象。
In this paper the operators do not possess any continuity and compactness, and that the operator is a self mapping on ordering interval is not required.
目前有很多关于算子的正则性的研究成果，但是没有准确的方法来说明连续线性算子的正则性。
There are number of results concerning the regularity of operators, but it is known that there is no exact way in the literature to conclude the regularity of continuous linear operators.
该算法基于连续线性规划技术，将安全校正问题分解为非线性潮流和线性控制灵敏度计算子问题以及基于灵敏度的线性规划控制子问题。
The corrective control problem was decomposed into a nonlinear power flow and linear sensitivity computation sub-problem and a sensitivity-based linear programming optimization control sub-problem.
该算法利用拉普拉斯微分算子对像素灰度值的不连续性进行量化，根据微分算子对灰度突变的响应强度进行自动调整掩模内的各像素权值。
The algorithm can measure discontinuity of gray values by using Laplacian and adjust automatically gray values according to intensity of response to gray mutation in Laplacian.
然后根据基本单位区间单调函数的性质拓展连续区间有序加权平均算子形成梯形连续区间有序加权平均算子；
On the other hand, according to the characteristics of the Basic Unitinterval Monotonic (BUM) function, the C-OWA operator was extended to the TC-OWA operator.
讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解，给出这个解的一个显式表达式。
A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained, which makes the perturbation of the semigroups more abundant.
讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解，给出这个解的一个显式表达式。
A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained, which makes the perturbation of the semigroups more abundant.
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