查询词典 finite continued fraction

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。

The results indicated that the chemical fraction composition characteristics of heavy metals are different. Cu mainly existed in organic/sulphidic fraction and residual fraction; Pb mainly existed in carbonates, Fe-Mn oxides and residual fraction; Cd mainly existed in carbonates and Fe-Mn oxides fraction; Cr mainly existed in residual fraction.

结果表明，不同重金属在消落区沉积物中形态分布各异，Cu主要以有机物及硫化物结合态和残渣态形式存在，Pb主要以碳酸盐结合态、Fe-Mn氧化物结合态及残渣态存在，Cd主要以碳酸盐结合态、Fe-Mn氧化物结合态存在，Cr主要以残渣态存在。

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

与之相关的理论成果不断地推陈出新，本文就是在连分式理论的基础上做了相应的工作，将多项式和连分式相结合，构造了一种新的切触有理插值——类Hermite切触有理插值，新的插值方法在表示形式上比传统的切触有理插值更直观，并且通过引入Viscovatov算法，切触插值连分式的系数求解得以简化。

The results showed that the fiber had the function of absorbing toluene and trichloroethylene after introducing HEMA into macromolecules, and the absorptive process obeyed Hill equation of sigmoidal model.Toluene and trichloroethylene absorbency increased with the increase of mass fraction of HEMA,and their maximum absorbency was 10 g/g and 21 g/g,respectively.The ratio of remaining fiber also increased with the increase of mass fraction of HEMA to make organic liquid retention ratio strengthen.Furthermore,dynamic mechanical performance of the fiber was affected by mass fraction of HEMA obviously, and the segments movement was influenced more obviously.At the same time,mass fraction of HEMA had a great impact on the surface and cross section morphologies,especially,many cavities existed in surface, and cross section had a lot of holes with asymmetric size when mass fraction of HEMA was equal to 15 wt%.

结果表明，HEMA引入大分子后，所得纤维对有机液体甲苯、三氯乙烯具有吸附功能，且吸附过程符合sigmoidal模型中的Hill方程；随HEMA质量分数的增加，纤维对甲苯和三氯乙烯的饱和吸附量增大，对甲苯和三氯乙烯的最大吸附量分别可达10 g/g和21 g/g；随HEMA质量分数的增加，纤维剩余率增加的同时，使纤维对甲苯和三氯乙烯的握持能力增强；HEMA质量分数对纤维动态力学性能有突出影响，特别是链段运动受其影响更为明显；HEMA质量分数对纤维表面和断面形貌均有显著影响，特别是当HEMA质量分数为15 wt%时，所得纤维表面出现了许多空洞，其断面存在许多尺寸不均的空洞。

The hypha growth-inhibiting method and the virulence determination method were used to investigate the inhibition effects of the petroleum ether fraction, chloroform fraction, ethyl acetate fraction, n-butanol fraction and water fraction in the alcoholic extracts from the aboveground of Peganum harmala L.

采用抑制菌丝生长法和毒力测定法，研究了骆驼蓬地上部醇提物的石油醚、氯仿、乙酸乙酯、正丁醇和水5个极性部位对南瓜枯萎病菌、西瓜枯萎病菌Fusarium oxysporum f。

Thiele type continued fraction interpolation is used to interpolate pixels around damaged part of the regular texture aiming at repairing the texture based on the regular inpainting method. Bisection is used when whole information and details are needed in sampling. Thiele type continued fraction interpolation is not an ideal method in the case of irregular damaged region Newton-Thiele type contined fraction is put forword to solve this problem. Point window is also used in the process of sampling.

在通常的图像修复技术上，对于一些规则的破损纹理图案采用一元Thiele型连分式模型来进行修复，在采样选取上，考虑到图像的整体信息和细节特征采用了二分的方法来进行处理，对于具有不规则破损区域的纹理图案，采用一元的方法不能达到令人满意的效果，采用二元Newton-Thiele型混合有理插值连分式的有理插值的方法来对具有不规则破损部分周围的像素点进行插值并采用采样点窗的方法进行采样可以达到修补破损部分的目的。

Confusa were higher than those of C. japonica. Among the organic components of wood vinegar, the acetic acid of acidic fraction, 2-methoxy-phenol of phenolic fraction for C. japonica and 2,6-dimethoxy-phenol for A. confusa, and 1,2-benzenediol and its derivatives of natural fraction were the main compound of each fraction.

各种木醋液有机成分之酸性物质均以醋酸为主，酚类物质在柳杉木醋液以2-甲氧基酚(2-methoxy-phenol)为主，相思树则以2，6-二甲氧基酚(2，6-dimethoxy-phenol)为主，各种木醋液中性物质均以1，2-benzenediol及其衍生物含量最多。

The results under the oil lubricate friction conditions were similar with those under the dry friction conditions. The wear mechanism of 3Cr13 matrix alloy was micro-cutting and distorting wear. For the composites with a low fraction of TiC particle, distorting wear dominated and cutting was partly operating. For the composites with a high fraction of TiC particle, stress fatigue wear and wear of hard phase decohesion has occurred, but the main wear mechanism was still distorting wear. When the wear experiments were performed under the oil lubricate friction conditions, the main wear mechanism has became to abrasive wear and fatigue wear for the composites with the low TiC fraction, and fatigue wear would be to dominate for the composites with the high TiC fraction. There were similar wear mechanisms in H13 and 1Cr18Ni9 matrix composites.

在干摩擦条件下，3Cr13基体合金的磨损机理为显微切削和变形磨损；低体积分数的复合材料磨损机制以变形磨损为主，兼有少量的切削磨损机制；高体积分数的复合材料磨损机制以变形磨损为主，兼有应力疲劳磨损和脆性相剥落磨损；在油润滑摩擦条件下，3Cr13基体合金的磨损以磨粒磨损为主；低体积分数的复合材料磨损为磨粒磨损和疲劳磨损；高体积分数的复合材料磨损以疲劳磨损为主。H13、1Cr18Ni9基体及其复合材料的磨损机制类似于3Cr13基体及其相同体积分数的复合材料。

When the molar fraction of SnO2 is 83%, the main component of the coating isO2 solid solution with rutile structure. When the molar fraction of SnO2 is 44%, the main components of coating are theO2 solid solution with rutile structure andO2 solid solution with fluorite structure. When the molar fraction of SnO2 is 17%, the main component of the coating isO2 solid solution with fluorite structure. Annealed at higher temperature than 450 ℃, CeO2 is found in the coating containing 83%Sn, and there is not SnO2 in the coating containing 83%Ce, which suggests that fluoriteO2 has higher thermal stability than rutileO2. When the molar fraction of SnO2 increases, the dispensability of the coatings is improved greatly.

结果表明：通过控制制备条件可获得具有纳米结构的钛阳极涂层；当Sn的摩尔分数为83%时，涂层主要为金红石相的O2固溶体；当Sn的摩尔分数为44%时，涂层中金红石相O2固溶体和萤石结构的O2固溶体共存；当Sn的摩尔分数为17%时，涂层由萤石结构的O2固溶体组成；高于450 ℃退火时，含83%Sn的涂层中出现CeO2相，而在含83%Ce的涂层中没有出现SnO2相，表明在相同的溶质浓度下，萤石结构的O2固溶体比锡基金红石相O2固溶体具有更好的热稳定性；而涂层中的SnO2具有明显改善涂层分散性的作用。

To ensure an optimal separation, three fractions should be collected: the limonene fraction, an intermediate fraction that forms during the rapid increase in temperature after collection of the limonene fraction, and the carvone fraction.

应该收集三个馏份以确保理想的分离效果：柠檬烯馏份，收集柠檬烯馏份后快速升温所产生的中间馏份以及香芹酮馏份。

That snake Alaric named Archbishop...

庇护。。。那个毒如蛇蝎的Alaric被命名为大教主。。。

You have done lots of magical things to be amazed at.

你做了很多神奇的事物感到惊讶。