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Each observable is represented by a densely defined Hermitian( or self-adjoint) linear operator acting on the state space. 每个可见由详细定义的厄密共轭(者同一伴随矩阵)用于状态矢量空间线性操作者来表现。
Each observable is represented by a densely defined Hermitian (or self-adjoint) linear operator acting on the state space. 每个可见由详细定义的厄密共轭(或者同一伴随矩阵)作用于状态矢量空间线性操作者来表现。
Obviously, sin() is not a linear operator, so even though wavenumber is a vector, sin(vector) is not a vector. 显然这样做的结果是不正确的，那么问题出在哪里。
The property of the probabilistic norm of the linear operator in PN space with unit circle N (0, 1) is discussed. 摘要利用单位圆N(0,1)讨论PN空间中线性算子的概率范数的几个性质。
The iterative construction of interpolating space is discussed by K-method and it is characterized by linear operator. 摘要用K方法讨论内插空间的迭代构造，并用线性算子对其特征进行研究。
By using linear operator semigroup theory, it is shown that the solution obtained by the model is well-posedness. 对模型进行了分析，运用线性算子半群理论研究了模型的解的适定性。
asymptotically nonexpansive type semi group 渐近非扩张型半群
These facts suggest a simple way of charaterizing linear operation. 这些事实提示我们，可以用一个简单方法来描述线性运行。
strongly categorical inverse semi group 强范畴逆半群
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.
The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric Analysis on manifolds. Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。
By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given. 摘要利用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。
Fuzzy normed space theories are important parts in fuzzy analysis,while powerset linear operator is a reasonable form of classic linear operator in fuzzy normed space. 模糊赋范空间理论是模糊分析学的重要组成部分，幂集线性算子则是经典线性算子在模糊赋范空间中的极为合理的表现形式。
These facts suggest a simple way of characterizing linear operation. 这些事实提示我们,可以用一个简单方法来描述线性运行。
Convex space,Cauchy sequence Bahach space and linear operator are expanded to extensive set. Their definitions are given,and some theorems are obtained. 给出了可拓赋范空间 ,可拓 Cauchy列 ,可拓 Bahach空间 ,可拓线性算子的定义 ,并得到若干性质
By using the C-semigroup of bounded linear operator and continuous linear functional, a new locally convex vector topological is introduced, some propositions of it are given. 摘要利用C-半群及连续线性泛函的概念，引入了一新的局部凸向量拓扑，并对其基本性质以及C-半群在新的局部凸线性拓扑意义下的性质进行了初步研究。
In this paper, some multiple positive solu tions theorems of a class of operator equation are established by using fixed po int index and the spectral radius of the relative linear operator. 利用不动点指数理论对一类算子方程建立了多重正解的存在性定理，通过相应的线性算子的谱半径，给出其正解存在与具有多解的条件。
In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems. 对于 n阶一般的非线性动力系统 ,根据线性算子的不变子空间理论和共轭算子概念 ,提出一种计算其规范形的新的矩阵表示方法。
By linear operation is meant the ability of an amplifier to amplify signals with little or no distortion. “（所谓）线性工作指的是放大器以很小的失真或无失真地放大信号的能力。”
Copying a container of N elements is a linear operation that involves N copy constructor calls + N destructor calls. 赢取的性能是可观的，拷贝N个元素的容器是线性操作，需要调用N次拷贝构造函数和N次析构函数。