对偶的

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。

In the second part of this paper, using of linear compact and injective cogenerator so on, we discuss the relations between Morita duality and weak Morita duality.

本文的第二部分我们将Morita对偶与弱Morita对偶相比较，并结合线性紧、内射上生成子等概念对弱Morita对偶的性质进行了一些讨论。

Using homogeneous projective coordinate,this paper presents a researches of the dual of projective space and reveals the essence of dual fundamentals of projective space the same coordinate represents both point and plane,and there is a dual relation in the point and plane.

射影空间是对偶结构，用齐次射影坐标研究了射影空间的对偶原理，从而揭示出射影空间里互相对偶的点与平面的坐标之间的内在联系

Finally, we verified that the doublet four dimensional potential electromagnetic theory has obvious SO (2) duality symmetry.

最后验证了电磁对偶的双四维势电磁场理论具有SO(2)电磁对偶性。

On the basis of a unified definition of the dual operation and theself dual operation, the connection s of the su(2,2｜1) main cluster was used as the fundamental field variables to construct the self dual Lagrangian of conformal supergravity.

利用内外指标的对偶运算及自对偶运算的统一定义，将su(2 ，2 |1)主丛联络作为基本场变量来构建自对偶的共形超引力拉氏函数。

Of or regulated by one gene or one of a pair of allelic genes.

对偶的对偶的，有关对偶的，有对照标志的

Weak Hopf modules can be viewed as comodules over a coring and this implies that the gen...

最后，我们来看一下对偶的情形，弱Hopf代数是有限广群代数的对偶。

Applying the concept of star dual, which is introduced by Moszynska, we establish some inequalities for star duals of intersection bodies. Hence, we present a new kind of duality between intersection bodies and projection bodies.

采用Moszynska引入的星对偶的概念，我们在第五章中研究相交体的星对偶体，从而更进一步地揭示了投影体和相交体两者之间的对偶关系；引入了对偶混合体的概念。

We prove the Hansen-Mullen Conjecture for i=2, n≥7. In the second part, we suggest the Hypothesis under which the generalized Hamming weights of the duals of primitive t-error correcting BCH code can be given explicitly.

在第二部分，我们讨论了本原t—纠错BCH码对偶的广义Hamming重量，给出了一个涉及到该方程的假设，在这个假设下，本原t—纠错BCH码对偶的广义Hamming重量可以精确给出。

It is well known that Wolfe type and Mond-Weir type duals are important duals in mathematical programming. Professor Xu(Ref.35) firstly introduced a mixed type dual in multiobjective programming, which is more general and flexible than the above two duals.

我们知道，在所有的对偶规划中，Wolf型和Mond-Weir型对偶是两类重要的对偶，而徐教授在文献[35]中，又针对多目标规划首次提出了混合型对偶的概念，它比以上提及的两类重要对偶，更具一般性和灵活性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。