查询词典 equivalent functions

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。

It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.

具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。

Using the concept of Boolean functions and combinatorics theory comprehensively, we investigate the construction on annihilators of Boolean functions and the algebraic immunity of symmetric Boolean functions in cryptography:Firstly, we introduce two methods of constructing the annihilators of Boolean functions, Construction I makes annihilators based on the minor term expression of Boolean function, meanwhile we get a way to judge whether a Boolean function has low degree annihilators by feature matrix. In Construction II, we use the subfunctions to construct annihilators, we also apply Construction II to LILI-128 and Toyocrypt, and the attacking complexity is reduced greatly. We study the algebraic immunitiy of (5,1,3,12) rotation symmetric staturated best functions and a type of constructed functions, then we prove that a new class of functions are invariants of algebraic attacks, and this property is generalized in the end.Secondly, we present a construction on symmetric annihilators of symmetric Boolean functions.

本文主要利用布尔函数的相关概念并结合组合论的相关知识，对密码学中布尔函数的零化子构造问题以及对称布尔函数代数免疫性进行了研究，主要包括以下两方面的内容：首先，给出两种布尔函数零化子的构造方法，构造Ⅰ利用布尔函数的小项表示构造零化子，得到求布尔函数f代数次数≤d的零化子的算法，同时得到通过布尔函数的特征矩阵判断零化子的存在性：构造Ⅱ利用布尔函数退化后的子函数构造零化子，将此构造方法应用于LILI-128，Toyocrypt等流密码体制中，使得攻击的复杂度大大降低；通过研究(5，1，3，12)旋转对称饱和最优函数的代数免疫和一类构造函数的代数免疫，证明了一类函数为代数攻击不变量，并对此性质作了进一步推广。

The actinic radiation-curable and cationically polymerizable organic substance is at least one glycidylether of a polyhydric aliphatic, alicyclic or aromatic alcohol having at least three epoxy groups with epoxy equivalent weight between 90 and 800 grams per equivalent, at least one solid or liquid alicyclic epoxide with an epoxy equivalent weight between 90 and 330 grams per equivalent having at least two epoxy groups and monomer purity greater than about 90 % by weight, or at least a solid or liquid epoxycresol novolac or epoxyphenol novolac having epoxy equivalent weight between 130 and 350, or mixtures thereof.

可光化辐射固化并可阳离子聚合的有机物质为至少一种带有至少3个环氧基团环氧当量为90―800克每当量的脂族、脂环族或芳族多元醇的缩水甘油醚，至少一种环氧当量为80―330克每当量带有至少两个环氧基团且单体纯度大于约90wt％的固态或液态脂环环氧化物，或至少一种环氧当量为130―350的固态或液态环氧甲酚线性酚醛清漆或环氧苯酚线性酚醛清漆，或其混合物。

Three classes of equivalent system methods which are used in finding high order flight control systems low order equivalent are studied. The first class methods are the classical frequency domain-based equivalent system methods which recommended by MIL-F-8785C and MIL-STD-1797A. Five longitudinal low order equivalent systems and fourteen lateral ones are discussed in detail and some pieces of advice are given. Also conduct an investigation in the time domain-based equivalent system methods .

研究了求取高增稳飞机的低阶等效系统的几种方法：研究了经典的频域等效系统方法，针对纵向5种、横向14种构型的低阶等效系统进行了拟配实践，并提出一些有益的看法；以频域等效系统方法为基础，提出了时域等效系统新方法；以最小二乘辨识为基础，提出了两种纵向短周期低阶等效系统时域辨识方法(等效延迟时间τ_q参与或不参与)。

The examples show: It is not only scientific and rational approximately, but also as referenced calculational methods of threshold quanlity of increased or emendatory chemical substance in the "Identifecation of major hazard installations "(GB18218-2000) in the future, that appliance respective of TNT equivalent method, gasoline equivalent method, methane equivalent method, methl ethyl ketone peroxide equivalent method and hydrogen sulfide equivalent method for the rhrehold quanlity in the work site and store area of volatile substance, combustible liquid substance, combustible gaseous substance, active chemical substance and poisonous substance. At the same time, Comparing with the death radius method and evaluative method of combustible, volatile, poisonous mojor hazardinstalltions, hazard grading method of hazard degree grading in the chemical factory for the major hazard installations is simplerof operation and more practical of calcutating result, and have some significance on generalizer.

实例验证表明：TNT当量法、汽油当量法、甲烷当量法和过氧化甲乙酮当量法分别对爆炸性物质、易燃液体物质、易燃气体物质和活性化学物质的临界量确定，具有一定的科学性和合理性，可作为《重大危险源辨识》(GB18218-2000)中临界量数值修订和危险物质扩充时进行临界量确定的参考计算方法，同时，化工厂危险程度的重大危险源分级法与易燃、易爆和有毒重大危险源评价法和死亡半径法相比，评估过程简单易行，分级结果符合实际，具有较强的可操作性和一定的推广意义。

In the 2A1 distorted trigonal bipyramid structure ,the single non equivalent Ga atom has the population of 4s 4p ,while the two equivalent Ga atoms have the population of 4s 4p .this compares with a Ga population of 4s 4p in the undistorted D3h structure ,hence the jahn-teller distortion causes depletion of the charge density on the 4s orbital of the non-equivalent Ga atom, and enhancement of charge density on the 4s orbital for the two equivalent atoms .an opposite trend is observed for the 4p orbitals of these Ga atoms .the P population for the two equivalent atoms is 3s 3p .the populations of the other 2B1 state with the edge-capped tetrahedral structure are similar with the exception that all three Ga atoms have similar but not identical populations .

在2A1被变形的三角bipyramid结构，唯一非等效Ga原子有4s 4p的人口，而二个等效Ga原子在未变形的D3h结构有4s 4p 。this的人口和4s相比4p的Ga人口，因此jahn出纳畸变在non-equivalent Ga原子的4s轨道导致电荷密度的取尽，并且电荷密度的改进在4s轨道为二个等效原子。an在趋向对面对这些Ga原子4p轨道被观察。the人口为二个等效原子是另一个2B1状态3s 3p 。the人口与边缘加盖的四面体结构是相似的P 除之外全部三个Ga原子有相似，但不相同人口。

The propose of the research is to insist on the view of applying to solve the various confusion in applying at present when present The Doctrine of Equivalents in China by analyzing dispute in applying of DOE; apply the research method of history analysis and compare synthetically, integrate with the case analysis and draw the conclusion: It is necessary to induct The Doctrine of Equivalents to prevent the tortious people filching the benefit of the inventor and confirm whether the infringed people imitated and copied patent on purpose, it is international tidal current to apply DOE in the processing of patent infringement cognizance, and firstly it must ensure the protecting confine by explaining the claim with compromise explain method, the difference of different extent in patent creation also effect the demarcation of equivalent extension; it should apply the rule of comparing factor one by one rather than comparing the whole equivalent in comparison of equivalents, and needs to be confirmed by increasing the assistant means in the processing of patent infringement cognizance by using Triple Identity Test of Graver; contrast and analyze whether they are equivalent depend on the level of the common technicians in relative domain and it is scientific and reasonable to confirm equivalent time standard by infringement date; in judicial practice of equivalent cognizance, it may use the experiences in Japan for reference to solve the cognizance misunderstanding area of reality in the law and the technology; The superabundance designation that may be understood as a display unfair contract because of neglect and materially misunderstanding should be conditionally applied in current time.

研究目的在于通过分析等同原则在适用上的争议，提出我国适用等同原则时应坚持适用的观点，解决目前在适用中的各种混乱局面；运用历史分析和综合比较的研究方法，结合案例分析；专利侵权认定中引入等同原则是必要的，其实质是防止侵权人窃取发明人的利益，被侵权人是否故意模仿或抄袭专利，不影响等同侵权的判定，运用等同原则判定专利侵权已成为世界性的潮流；适用等同原则首先要对权利要求进行解释以确定保护范围，在解释权利要求时应采取折衷的解释方法，不同专利创造性程度的差异也影响着等同范围的划定；在等同物的比较上，应当适用&逐个要素比较&，而不能适用&整体比较&，在适用&三一致&标准进行侵权认定时，还需要增加辅助手段予以确定；是否构成等同，应当以所属领域普通技术人员的水平来对比分析，以侵权日为等同的时间标准是科学合理的；在等同认定的司法实践中，解决法律事实和技术事实认定上的误区，可以借鉴日本的经验；多余指定可以理解为一个因疏忽大意或重大误解而订立的显失公平的合同，应当在现阶段有条件限制地予以适用。

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先给出了剩余类环上的多输出广义Bent函数的定义，得到了多输出广义Bent函数的广义一阶Chrestenson谱特征，然后计算了多输出广义Bent函数与多输出m值仿射函数的符合率；接着定义了多输出m值完全非线性函数，讨论了多输出m值完全非线性函数与多输出广义Bent函数之间的关系；最后给出了两种构造多输出广义Bent函数的方法。

The method involves exposing the cells to a compound having the formula I in which: w is a nucleic acid x is a non-amino acid or non-peptide nucleic acid binding group y is a spacer having a chain length equivalent to 1-30 carbon-carbon single covalent bonds or is absent R4 is H or halogen or CH2O-R3; and R1, R2 and R3 are the same or different and are either hydrogen, methyl, ethyl, alkyl, alkenyl, hydroxylated alkyl, hydroxylated alkenyl groups or ether containing alkyl, alkenyl, hydroxylated alkyl or hydroxylated alkenyl groups optionally being an acyl group having a carbon chain length equivalent to 3-24 carbon atoms saturated or unsaturated, with the proviso that at least one of R1, R2 or R3 includes a group having a carbon chain of 3-24 carbon atoms saturated or unsaturated, or to a compound having the formula II in which: w is a nucleic acid x is a non-amino acid or non-peptide nucleic acid binding group y is a space having a chain length equivalent to 1-30 carbon-carbon single covalent bonds or is absent, R5 is alkyl, alkenyl, hydroxylated alkyl, hydroxylated alkenyl group or ether containing alkyl, alkenyl, hydroxylated alkyl or hydroxylated alkenyl group optionally being an acyl group having a carbon chain length equivalent to 3-24 carbon atoms saturated or unsaturated, with the proviso that R5 includes a group having a carbon chain of 3-24 carbon atoms saturated or unsaturated.

该方法包括使细胞暴露于具有式的化合物，在式中：w是核酸，x是非氨基酸或者非肽核酸结合基团，y是具有等于1―30个碳―碳单共价键的链长的间隔基或者不存在，R4是H或者卤素或者CH2O－R3；R1、R2和R3是相同的或者不同的并且是氢、甲基、乙基、烷基、链烯基、羟基化烷基、羟基化链烯基或者包含烷基、链烯基、羟基化烷基或羟基化链烯基的醚，任选地是来源于具有等于3―24个碳原子的碳链长的饱和或不饱和脂肪酸的酰基，其条件是R1、R2或者R3的至少一个包括具有3―24个碳原子的饱和或不饱和碳链的基团，或者使细胞暴露于具有式的化合物，在式中：w是核酸，x是非氨基酸或者非肽核酸结合基团，y是具有等于1―30个碳―碳单共价键的链长的间隔基或者不存在，R5是烷基、链烯基、羟基化烷基、羟基化链烯基或者包含烷基、链烯基、羟基化烷基或羟基化链烯基的醚，任选地是具有等于3―24个碳原子的饱和或不饱和碳链的链长的酰基，其条件是R5包括具有3―24个碳原子的饱和或不饱和碳链的基团。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？