算出

The method is convenient to be used, especially to nonhomogeneous equations and nonhomogeneous boundary value problem.

用微分算子法给出了线性扩散方程和波动方程的通解及初值以及边值相关问题的算子解，特别是对非齐次方程和非齐次边界问题处理尤其简捷适用。

This paper is concerned with the problem of a nonlinear semigroup of Lipschitz-αoperator, based on the nonlinear semigroup of Lipschitz operator.

本文给出了一种新的非线性算子半群，非线性Lipschitz-α算子半群。

In this paper constructed the projection operator s of all the inequivalent and irreducible presentation which attributes to C_(2v) group,according to these projection operator s composed the twenty-four normal modes of vibration and their normal coordinates,and analyzed the spectral properties of these vibration modes.

利用群论方法构造出属于C2v群的各不等价不可约表示的投影算符，应用求得的投影算符合成丙酮分子的24个简正振动模式及简正坐标，并分析其振动模式的光谱特性

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论，讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性，并给出了迭代序列收敛于公共不动点的误差枯计，所得结果是某些已知结果本质改进和推广。

In chapter 4, in the frame of partially ordered F-type topological space, we research the existence of the solution of a nonlinear operator equation Lx = Nx, and the convergence of the iterative sequence {u_n} which satisfies Lu_(n+1)= Nu_n for a solution of the equation. Then, we give the conditions for multiplicity of the solutions of this operator equation.

第四章，在半序F-型拓扑空间框架下研究一类非线性算子方程Lx=Nx解的存在性，以及满足Lu_(n+1)=Nu_n的迭代序列{u_n}对于方程解的收敛性，并给出这类算子方程具有多解性的条件。

we use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by using these transforming formula we realize the change from Pauli matrices to Hubbard operators.

方法我们利用Hubbard算符的归一性和正交性给出了Hubbard算符和Pauli矩阵之间转化的运算公式，从而实现了哈密顿量表示方式的转化。

The results show that, when taking into account the contributions of negative energy projector operators, the BS formalism can yield form factors which are suitable for the measured semileptonic branching ratios, and the lighter the final state pseudoscalar is the more important role the negative energy would.

结果表明：当考虑负能投影算子的贡献时，BS框架能够给出合适的形状因子及与实验值符合的半轻子衰变分支比；赝标介子越轻，负能投影算子的贡献越重要。

A novel finite-difference time-domainmethod,called shift operator FDTDmethod is developed for anisotropic magnetized dispersive media.The recursive relation between operators is used.In this paper,some expressions containing the dielectric constants of magnetized dispersive media are written as rational polynomial function.

给出了一种新的计算各向异性磁化色散介质的有限差分算法，称为移位算子FDTD算法，它利用算子之间的移位递推关系，将一类色散介质的包含介电常数的表达式写成有理分式函数形式，进而导出FDTD中一系列相关量之间的关系。

By using the resolvent operator technique associated with relaxed-monotone operators, we construct a new iterative algorithm for solving the system of generalized mixed quasi-variational-like inclusions. We also prove the existence of solutions and the convergence of iterative sequences generated the iterative algorithm.

利用松弛－-单调算子的豫解算子技巧，给出了求解这类广义混合拟似变分包含组的迭代算法，并证明了由迭代算法生成的迭代序列强收敛于该变分包含组的精确解。

This paper gives two equivalent conditions of similar and quasi-similar operators on the sequence space and the relation between them.

在给出序列空间上相似算子与近相似算子的等价条件后，探讨两者之间的关系，并得到新结论。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。