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The stability of numerical methods for the linear Volterra delay integro differential equation was studied. A sufficient condition such that the implicit block θ-methods preserved the delay-independent stability of its exact solutions was obtained.

研究了线性中立型Volterra延迟积分微分方程数值方法的稳定性，给出了块隐式θ-方法保持系统解析解不依赖于延迟的稳定性质的一个充分条件。

Microsoft Internet Server is designed such that the various services work in a similar manner.

微软公司的互联网服务器设计使各种信息服务以类似的方式工作。

It implements a sorted list of adjusted timeouts such that the interrupt handler is only decrementing the first element at all times.

它是一个排过序的链表且链表中的超时设定都是调整过的，这样中断处理过程就只需要递减链表中第一个元素的计数器即可。

Theorem 3 Let be a continuous function on the interval and let be a number between and , then there is at least one number , such that.

定理 3 设函数在闭区间上连续，且在这区间的端点取不同的函数值及，那么，对于与之间的任意一个数，在开区间内至少有一点使。

Equivalently, it can be raised as follows: for an A operator T, if M and N are two invariant subspaces of T satisfying N include M and dimN/M=∞, then does there exist another invariant subspace L such that N include L, and L include M ? It is rather difficult to study the invariant subspace problem of general diagonal operators.

研究表明它可以约化为对角算子的不变子空间的情形，具体地它有如下的等价提法：对于A算子算T，，如果M和N是T的两个不变子空间，满足且dimN/M=∞，那么是否存在T的另一个不变子空间L使得M包含于L，且L包含于N？

And human initiative and inventiveness are such that even this wouldn't succeed.

但人类的进取心与创造力如此强盛，即使这个政府也是不会成功的。

A weak inverse of S is an element x ∈ S such that x = xax, denoted by W the set of weak inverse s of a.

如果存在x∈S，使得x=xax，则称x为a的一个弱逆。

In operation, the outlet air preferably flows past the ionizer needle 34, charging particles remaining in the initially filtered air with an electrical charge such that the particles are attracted to a surface or to each other and generally do not remain suspended within the air.

在操作中，出口空气优选地流经电离子针34，利用电荷使保持在初始过滤空气中的微粒带电，以便使微粒被吸引到表面上或彼此吸引，从而通常不会再保持并悬浮在空气中。

However, the ionizer needle 34 is preferably mounted to the outlet channel 30a to charge particles as they flow out of the louvered vent 16a such that the particles are attracted to an oppositely charged object and generally do not remain suspended in the air or the room.

然而，电离子针34优选地安装于出口通道30a上，以便当气流流出百叶式通风口16a时向微粒提供电荷，从而微粒可以被反向电荷物体吸引而不会悬浮并残留在空气中或房间内。

For different polynomials g, if the characteristic polynomial of a n matrix A is irreducible, then we get some theorems to determine matrix equations g =A solvable; if it is reducible, then, to see n-dimension space vectors M over a field F as F-module, we use module theory to determine these equations solvable such that it is simpler and clearer to investigate these questions.

对于不同多项式g，当n阶矩阵A的特征多项式为不可约的，我们给出了矩阵方程g=A有解的判定定理；当A的特征多项式为可约的，把域F上的n维线性空间M作为由A导出的F -模，我们利用模论知识来决定矩阵方程g=A有解性，从而使这一问题变了简单，研究思路更加清晰。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。