对偶基

词组短语

dual base · dual basis

与对偶基相关的网络例句 [注：此内容来源于网络，仅供参考]

We give the dual basis for U_ and U_.

我们给出U_和U_的一组对偶基。

Using these dual basis we construct the R-matrix.

利用这组对偶基我们构造了这个Hopf代数的R矩阵。

After that, by making use of dual basis, the general reconstruction formula about frame is discussed, and the computation formula for the dual frame is presented, in which no operators are contained.

然后，利用对偶基概念讨论了一般框架下信号的重构公式，并给出了对偶框架的具体计算公式，该公式不包含任何算符，可以明显看出基矢的相关性与框架类型之间的关系。

The design methods and implement means of bit-parallel multiplier in finite field under nature or dual basis were studied separately.

摘 要：分别研究了有限域GF(2m)中自然基和对偶基下比特并行乘法器的设计方法与实现手段。

By means of the dual of Said-Ball basis, the Marsden identity is got in terms of Said-Ball basis, and a degree reduction algorithm for Said-Ball curves is presented through the transform from Bezier curves to Said-Ball curves.

利用Said-Ball基函数的对偶基，得到幂基函数在Said-Ball基下的Marsden恒等式，及从Bézier曲线到Said-Ball曲线的转换。并给出Said-Ball曲线的降阶赋值算法。

Based on the analyzing of finite field multiply operation, Matlab was used to simplify the sections which were complex and resource-consumed. As a result, a simple form of combinational logic was obtained. And bit-parallel multipliers under nature or dual basis were designed separately in finite-field with VHDL language.

在分析有限域乘法运算法则的基础上，用Matlab简化其复杂而消耗资源的部分，得到形式简单的组合逻辑，并用VHDL语言分别设计了有限域GF(2m)中自然基和对偶基下比特并行乘法器。

By making a thorough study of WSGB curves, the author acquires two main results, i.e., the transformation formula from Bernstein basis to WSGB basis and the construction of the dual functionals for WSGB basis functions.

利用特殊多项式的分解与展开，推导出从Bernstein基函数到WSGB基函数的转换公式。 2。构造出WSGB基函数的对偶泛函，并应用WSGB基函数的对偶泛函，得到另一种方法实现WSGB曲线与Bézier曲线的互相转化。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

Because the hardware and software may be implemented quickly if wechoose proper normal bases to represent finite fields. In this paper, we first introducesome basic definitions and facts on normal bases over finite fields, then extend theseresults to any Galois extension fields.

在这篇文章中，我们先介绍了有限域上的一些基本定义及关于正规基的相关结论，进而将域扩张到一般的伽罗瓦扩域中，得到了伽罗瓦扩域中正规基与其对偶基等价的充分必要条件，从而将有限域上正规基的等价条件推广到任意伽罗瓦扩域上。

In this paper,we discussed the existence,uniqueness,and approximation order of interpolation by bivariate quartic splines with B-Net in three direction meshes .

文[1]、[2]曾讨论了用S41（△mn（1））、S41（△mn（2））作为插值空间的插值问题，[3]讨论了三向剖分域上S31空间的B样条对偶基与拟插值。

与对偶基相关的网络解释 [注：此内容来源于网络，仅供参考]

dual automorphism：逆自同构

dual abelian variety 对偶阿贝耳簇 | dual automorphism 逆自同构 | dual base 对偶基

reciprocal bilinear form：互逆双线性形式

对偶基 reciprocal basis | 互逆双线性形式 reciprocal bilinear form | 配极锥面 reciprocal cone

dual base：对偶基

dual automorphism 逆自同构 | dual base 对偶基 | dual basis 对偶基

dual basis：对偶基

双签名:dual signature | 对偶基:dual basis | 对偶码:dual codes

dual basis：对偶基(接触)

dual TR tube | 双联式开关管 | dual basis | 对偶基(接触) | dual beam head lamp | 双光束前照灯

duale Basis dual basis：对偶基

Dreisatz rule of three 三分律 | duale Basis dual basis 对偶基 | dualer Modul dual module 对偶模

dual category：对偶范畴

dual basis 对偶基 | dual category 对偶范畴 | dual cell 对偶胞腔

dualer Modul dual module：对偶模

duale Basis dual basis 对偶基 | dualer Modul dual module 对偶模 | dualer Vektorraum dual vector space 对偶向量空间

matroid：拟阵

证明图G可嵌入平面的充分必要条件是G具有对偶图G',从而给著名的K.库拉托夫斯基(Ku-ratowski)不可嵌入平面图的定理一个直接的组合证明.惠特尼在组合论方面的最大成就是他引进拟阵(matroid)理论,这是一种抽象的线性相关性理论,

Dreisatz rule of three：三分律

dreifach triple 三元组 | Dreisatz rule of three 三分律 | duale Basis dual basis 对偶基