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Utilizing the theories of BK spaces and multiplier spaces, this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don t contain copy of is unconditional basis.

利用BK空间的理论讨论了具有给定的完全双正交系的Banach空间X的乘子空间M的性质，给出了Banach空间X上基本完全的双正交系成为Cesaro基的充要条件。

Utilizing the theories of BK spaces and multiplier spaces, this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don t contain copy of is unconditional basis .

本文利用BK空间和乘子空间的性质，讨论了在不含C0 的C0py的Banach空间上基本完全的双正交系成为无条件基的充要条件。

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

Biotin is a water-soluble vitamin necessary for normal growth and body function.

生物素是一种水溶性维生素必要的正常生长和身体功能。

The sculptural expressiveness of the green roof is necessary for the completion a sustainable biotope.

要想建造一个可持续性的生态单元，花园中雕塑表现就显得必不可少了。

In this paper, we study a necessary and sufficient condition that complete bipartite graph exists factors.

讨论了完全偶图存在 [1，2 ]因子的充分必要条件，并给出了 [1，2 ]因子的计数

A theoretical breakthrough is necessary to improve the bipartition methodology.

因此 ，必须对以交易费用分析为标准的市场与企业的简单两分法加以理论突破。

Applyingthe sufficient and necessary condition of biquadratic Bézier patch being non-negative,a method is presented to see whether two points are the closest points between twobiquadratic NURBS surfaces when the two points are respectively on the two surfaces. Based on the method, the surface split algorithm is improved while the surfaces arebiquadratic NURBS surfaces.

本文利用双二次 Bézier 曲面为非负的充要条件，提出了分别位于两张双二次 NURBS 曲面上的点是否为这两张曲面间距离最近的点的判别方法，并由此在双二次 NURBS 曲面的场合对计算最短距离的曲面分割法作了改进。

For light, the necessary phase shift can be introduced by use of a birefringent material. In Fig.

对于光波来说，位相转换可以采取晶体的双折射得到。

But if the female's birth canal grew too wide, her pelvis would be so wide that she would lose the ability to run: still a necessary skill in the dangerous world of 2 million years ago.

但是，如果女性的产道长得太宽，她的骨盆会宽得让她失去奔跑能力；在200万年前的危险世界里，奔跑仍然是一个必要的技能。

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。