显然，差分算子及其逆算子是阶乘幂多项式的方便工具。
Clearly, the difference operator or sum operator is the convenient tool for the polynomial of factorial powers.
与微分算子及其逆算子积分算子作比较，讨论了差分算子及其逆算子(和分)。
In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper.
由于求逆算子的敏感性，估计结果中小的误差也可能造成均衡器性能的显著损失。
Due to the sensitivity of inversion operator, minute errors in the estimation can incur considerable equalization performance degradation.
然后把伪逆算子应用在框架理论中，同时给出了预框架算子的伪逆算子的矩阵表示。
The matrix expression of the pseudo-inverse operator concerning the pre-frame operator was provided, and finally the theory of pseudo-inverse operators to some non-frame sequences was developed.
我们将这种算子推广到具有逆对合对应的完备格上。
In order-reversing involution, complete lattice is calculated and general Pawlak operator is deduced.
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。
And this definition is very important for us to study the topological inner inverse for a linear operator in a topological Spaces.
刻划了特征不为2及3的域上的上三角矩阵空间保逆矩阵的可逆加法算子的形式。
The authors characterize the forms of additive invertable operators preserving inverse matrix of the upper triangular matrix space over a field which characteristic is not 2 or 3 .
前者称为微分算子的谱分析，后者称为逆谱问题。
The former is called the spectra analysis of a differential operator and the latter is the inverse spectra problem.
算子的确界性质和广义逆是近年来算子理论中比较活跃的一些研究课题，在算子理论的研究中有着重要的理论价值和应用价值。
The infimum and supremum of operators, and generalized inverse of operators are heated topics in operator theory and also have important value in both theory and application.
最后，我们给出有界齐性算子空间在算子广义逆问题上的应用。
Finally, the application of bounded homogeneous operator space to generalized inverses of operator are given in this paper as well.
以弹性波为重点，评述了三锥散射算子关系及其在逆散射中的应用。为便于理解，在介绍过程中，还仔细描述一维球对称情况下散射矩阵和逆散射方程推导。
The three-dimensional scattering operator formulations with application in the three-dimensional inverse scattering are reviewed with emphasis on the elastic wave case.
以弹性波为重点，评述了三锥散射算子关系及其在逆散射中的应用。为便于理解，在介绍过程中，还仔细描述一维球对称情况下散射矩阵和逆散射方程推导。
The three-dimensional scattering operator formulations with application in the three-dimensional inverse scattering are reviewed with emphasis on the elastic wave case.
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