查询词典 algebraic closure operator

It obtains that the transport operator A has no complex eigenvalue s,and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas.

本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱，得出了该算子A在带域Pas中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

It proves the singular transport operator generates a strongly continuous C_0 semigroup V(t0)and the weak compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup V(t0)in L1 space,and to obtain the spectrum of the singular transport operator only consist of,at most,finitely many isolate eigenvalues which have a finite algebraic multiplicity in trip Γ.

证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是弱紧的，从而得到了该迁移算子的谱在区域Γ中仅由至多有限个具有限代数重数的离散本征值组成等结果。上饶师院数学与计算机系江西上饶334001；南昌大学数学系江西南昌330047袁邓彬

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

We give another form of the infinitesimal time translation operator in algebraic dynamical algorithm so that it is more easy to use new operator to solve evolution equations.

我们给出了求解偏微分演化方程的代数动力学解法中关于时间平移的无穷小算子的构造的另一个形式，使得在应用代数动力学方法求解偏微分方程时更简洁更方便。

In this paper, a new technique (so-called large-step wavefield depth extrapolation method), that is based on the Lie algebraic integral of operator's phase to compute depth extrapolation operator efficiently, is proposed.

本文提出一种基于"算子相位"李代数积分的快速计算延拓算子的方法，称为大步长波场延拓方法。

In this paper, a new technique (socalled largestep wavefield depth extrapolation method), that is based on the Lie algebraic integral of operator's phase to compute depth extrapolation operator efficiently, is proposed.

本文提出一种基于"算子相位"李代数积分的快速计算延拓算子的方法，称为大步长波场延拓方法。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

One of the important classes is Pritchard-Salamon system with unbounded admissible input operator and output operator. Keulen[4]and Curtain[5] has finished excellent work, but they added smooth condition when they transform the solution of H∞-Control into solving two algebraic Riccati equations.

其中重要的一类是具容许无界输入和输出的Pritchard-Salamon系统，这方面已有Keulen[4]，Curtain[5]等人的工作，不过他们在将次最优H_∞-控制器存在问题转化为相应Riccati方程解的存在问题时附加了"光滑性条件"。

The concept of Galois connections for partially ordered objects in a topos is introduced and the kernel operator and closure operator are investigated.

在任意 topos 中引入了偏序对象之间的 Galois 联络的定义，刻画了偏序集对象上的核算子和闭包算子。

Lid done with stainless steel plate floor, built-silicate insulation, Furnace Door size 350 mm wide, 580 mm high, the overall lateral wall elevate electric holding furnace door, Furnace Door closure of the Furnace Door as a whole round , Furnace Door sealing performance enhancements, dial made of stainless steel by 1600 m / m turntable, used to load the workpiece, the entire wheel of the plane is not division, the operator can be stacked workpiece, as dial-rotation every 40 minutes a week , when the operator can not see dial in almost rotation, and Furnace Door open the larger operators can be arbitrary and out of the workpiece, and without time limits can dial in 20-60 minutes a week to arbitrary rotation speed, regardless of Furnace Door hoist, from the start of work on the dial continuous rotation, and there was no need for chain hoist Furnace Door, the need to stop rotating, just press the control cabinet, stop button, the gate Furnace Door, operators to seize its own, activated installed in the furnace door open and close button.

炉盖采用不锈钢板做底板，内置硅酸铝保温，炉门尺寸宽350mm，高580mm，侧墙体中整体向上提升式电动保温炉门，炉门关闭时整个炉门为一个圆形整体，炉门密封性能增强，转盘采用不绣钢制成1600m/m转盘，用以承载工件之用，整个转盘为平面不分工位，操作人员可以任意堆放工件，由于转盘每40分钟旋传一周，工作时操作人员几乎看不到转盘在转动，加上炉门开的较大，操作人员可以任意进出工件，而不受时间限转盘可以在20--60分钟旋转一周的时间任意调速，不论炉门启闭、转盘从启动工作就不间断的旋转，没有任何必要与炉门启闭进行联锁，需要停止旋转时，只需按下控制电柜上的停止按钮即可，炉门的启闭，由操作人员自行掌握，按动安装在炉门边的启闭钮即可。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。