Naught space properties of compact linear operator in normed space;
证明了模糊赋范空间上有界线性算子的一个保范延拓定理。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
And this definition is very important for us to study the topological inner inverse for a linear operator in a topological Spaces.
该定义对研究拓扑空间中线性算子的拓扑内逆具有重要意义。
By using linear operator theory in L2 space, we get the distributed parameters on real line and the existence of positive solutions.
藉助L_2空间上的线性算子理论，我们得到了这类方程的控制参数在实轴上的分布情况以及存在符合物理意义的正解的条件。
By using linear operator theory in L2 space, we proved that the operators of this kind has not more than denumerable positive eigenvalues.
运用L2空间上的线性算子理论，我们证明了这类算子存在至多可数个正的本征值。
We build a set of complete bases through resolving the eigenvalue problem of this linear operator and prove its completeness and orthogonality.
通过解这一线性算符的本征值问题，构造一组完备基，并给出完备性和正交性的证明；
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
利用C -半群的概念，引入一新的局部凸向量拓扑，并对其基本性质以及在新的局部凸线性拓扑意义下c -半群的性质进行初步研究。
Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
Since the coefficient of the new polynomial is too complicate to calculate directly, we introduce a linear operator and study the algebraic properties of it.
该多项式的系数较为复杂，难以直接计算。我们引进了一个线性算子并研究了其性质。
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.
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。
In this paper the properties of the strictly convex space are studied further. In the time this paper further gives a sufficient condition that isometric operator is linear operator.
本文进一步研究了严格凸空间的性质，并给出了等距算子为线性算子的一个充分条件。
A novel neural network model, named delayed standard neural network model (DSNNM), is proposed, which is the interconnection of a linear dynamic system and a bounded static delayed nonlinear operator.
提出一种新的神经网络模型—时滞标准神经网络模型(DSNNM)，它由线性动力学系统和有界静态时滞非线性算子连接而成。
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.
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。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
The vibration frequency and effective mass of strong - and weak-coupling bound polaron was derived by using improved linear combination operator and unitary transformation methods.
采用改进的线性组合符和么正变换方法导出强、弱耦合束缚极化子的振动频率和有效质量。
The problem of minimum_energy optimal control for multivariable linear systems determined by a class of differential operator matrixes is investigated.
考察由一类微分算子阵描述的多变量线性系统的极小能最优控制问题。
The properties of bound magnetopolaron with strong electron-LO phonon coupling were studied using a linear combination operator and a unitary transformation method in an asymmetry quantum dot.
采用线性组合算符和幺正变换方法，研究了非对称量子点中电子和体纵光学声子强耦合下束缚磁极化子的性质。
The influence of electric field on the properties of strong-coupling polaron in parabolic quantum wires are studied by using linear combination operator and variational methods.
采用线性组合算符法和变分法研究了电场对抛物量子线中强耦合极化子性质的影响。
The basic properties of a transfer operator of a linear time-invariant continuous system are proved comprehensively and systematically.
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。
Basing on traditional operator theory, operator madel for a circuit is established, and a new method for the solution of response of linear time invariance system is introduced.
在传统的算子理论基础上，建立了电路的算子模型，提出了求解线性非时变系统全响应的一种新方法。
An effective Hamiltonian of surface polaron interacting with the deformation potential in polar crystals was derived by using improved linear combination operator method.
本文采用改进了的线性组合算符法导出了极性半导体中与形变势相互作用的表面极化子的有效哈密顿量。
In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.
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, a new hybrid filter algorithm based on triangle modulus fusion operator was proposed to overcome the shortcomings of the hybrid linear and nonlinear filter techniques.
本文针对线性和非线性混合滤波技术的不足，提出了一种基于三角模融合算子的混合滤波算法。
The variational relations of the internal excited states of polaron with coupling strength and magnetic field were derived by using the linear combination operator and unitary transformation methods.
应用线性组合算符和幺正变换方法，得出了极化子内部激发态与耦合强度和磁场的关系。
The variational relations of the internal excited states of polaron with coupling strength and magnetic field were derived by using the linear combination operator and unitary transformation methods.
应用线性组合算符和幺正变换方法，得出了极化子内部激发态与耦合强度和磁场的关系。
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