阶

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

The methods of the first-and second-order cyclic statistics-based hybrid and the first-and third-order cyclic statistics-based hybrid have been proposed. Using the first order cyclic statistics, the frequencies of harmonics corresponding to nonzero mean multiplicative noise were obtained. Then the mean of multiplicative noise can be estimated. With this, harmonics can be retrieved by second or third order cyclic statistics.

提出了基于一阶、二阶循环统计量的混合方法和基于一阶、三阶循环统计量的混合方法，即先利用一阶循环统计量得到对应非零均值乘性噪声的谐波频率，再求出与谐波频率对应的乘性噪声均值，去均值后用二阶或三阶循环统计量来恢复谐波。

In Chapter 2, starting from the basic fractional ordinary differential equations,weapply a high order approximation of fractional derivative advanced by Lubich to frac-tional differential equation, construct a high numerical difference scheme to solve thefractional differential equation, present error analysis of the algorithms theoretically,and prove the consistency ,convergency and stability.

接下来的第二章中，首先从基本的分数阶常微分方程出发，对Lubich提出的一个关于分数阶导数的高阶近似，将其应用于分数阶微分方程，构造高阶数值差分格式来进行分数阶微分方程的数值求解，并在理论上给出这一算法的误差分析，证明了它的相容性，收敛性和稳定性。

this paper proposes a design method which can improve the performance of fractional order differential filter obviously under the premise of not increasing the structure complexity of the filter.this scheme which bases on mutually compensatory characters of typical differentiator and uses interpolated method to improve performance of iir digital fractional differential filter.the improved frequency response of fractional differential filter is more close to ideal fractional differential filter,it indicates the validity of proposed method.

摘 要：提出一种在不增加分数阶微分滤波器复杂度的前提下，能有效提高分数阶微分滤波器性能的方法。该方法利用几种基于典型微分算子的分数阶微分滤波器之间的互补性，通过相互内插结合的方式，用于提高iir分数阶数字滤波器的性能。改进后的分数阶微分滤波器频率响应更接近理想分数阶微分滤波器，表明所提方法的有效性。

Therefore the dispersion curves obtained in the field are primarily consisted of the first mode. For a heterogeneous elastic solid consisting of three homogeneous layers whose interlayer has low velocity, the phase velocity V〓 of the first mode will also close up to the Rayleigh wave velocity of the bottom layer when frequency f→OHz, but V〓 of the first mode will close up to the shear wave velocity of the interlayer when f→∞, and there is a cut-off frequency at high frequency region for the first mode and V〓 close up to the compressional velocity of interlayer when interlayer is liquid.

当三层固体介质中存在软夹层时，若f→OHz，则其基阶模式的相速度V〓→V〓（V〓为最底层介质的瑞利波速度）；若f→∞，其基阶模式V〓→V〓（V〓为中间层介质的横波速度）；若三层介质中存在液体夹层，当f→OHz时，基阶模式V〓→V〓，而基阶模式在高频段存在一个截止频率，截止频率处的瑞利波速度V〓→V〓；由此可判定，野外实测的相速度频散曲线不仅有基阶导波模式，同时还应有高阶导波模式波的存在，接收信号中存在模式间的跳跃，因此频散曲线会产生"之"字形现象。

In recent years, systems which based on fractional differential and integral fractional, have been researched extensively, involving fractional circuit, fractional digital signal processing, fractional dynamics control systems and fractional-Chaos and super-chaos, Chaos Control and fractional chaos synchronization, and security communications. And a lot of theoretical and practical results are obtained.

故而近年来基于分数阶微分和积分的分数阶系统已在动力学系统中得以较为广泛的研究，其中涉及分数阶电路、分数阶数字信号处理、分数阶动力学控制系统以及分数阶混沌和超混沌、分数阶混沌控制与混沌同步、保密通信等多个领域，取得了不少的理论和实际结果。

The Lower/Upper Cretaceous boundary in Songliao Basin is,therefore,between the Quantou and Denglouku formations,instead of between the Quantou and Qingshankou formations.2.The dark mudstones and shales in the Member 1 of Qingshankou Formation are of high organic carbon and low diasteranes contents.Organic geochemical characters are illustrated by biomarkers of 28,30-bisnorhopane and gammacerane,and positive excursion of kerogen isotopes.It is suggested that the dark mudstones and shales in the Member 1 of Qingshankou Formation are the products of lake anoxic period.It corresponds to the oceanic anoxic event at Cenomanian-Turonian boundary in Cretaceous.3.Based on the study of biostratigraphy,chronostratigraphy,magnetostratigraphy and event stratigraphy,a correlation of the lacustrine sequence to marine standard has been proposed,i.e.,the Quantou Formation corresponds to Cenomanian stage,Qingshankou Formation correlates to Later Cenomanian-Early Turonian,Yaojia Formation to Later Turonian-Coniacian,Nenjiang Formation to Santonian-Campanian.Sifangtai and Minshui Formations to Maastrichtian. 4.Analysis of lithology,lithofacies and microfossils of Cretaceous in Songliao Basin, shows that shore and shallow lake facies yield the most abundant microfossil groups,and the predelta and deltaic distributary plain facies rich in fossils as well.In the shore and shallow lake areas during the high level periods(such as Qingshankou and Nenjiang sedimentary periods),the lacustrine biota are of high diversity and high abundance.

因此，松辽盆地上、下白垩统的界线应在泉头组的底界，即泉头组与登娄库组之间，而不是泉头组的顶界。2、青山口组一段黑色泥岩、页岩具有有机碳含量高、重排甾烷含量低，生物标志物出现28，30—双降藿烷和伽马蜡烷，干酷根碳同位素具有正向偏移等有机地球化学特征，表征为青山口组一段黑色页岩、油页岩是古湖泊缺氧事件的产物，它对应于白垩纪古海洋Cenomanian—Turonian期界线附近缺氧事件，二者具同步性。3、通过生物地层学、年代地层学、磁性地层学和事件地层学研究，认为泉头阶大体相当于Cenomanian阶，青山口阶相当于晚Cenomanian—早Turonian阶，姚家阶对应于晚Turonian—Coniacian阶，嫩江阶对应于Santonian—Campanian阶，四方台阶和明水阶相当于Maastrichtian阶。4、通过对松辽盆地上白垩统的岩性、岩相及微体化石分析，认为滨浅湖相是微体生物群最为发育的相带，其次为三角洲前缘相和三角洲分流平原相。

Aiming at this problem,the concept of the second order power spectrum was proposed based on the characteristic of the amplitude tune with pe- riodical notch spectrum in thin layer and theoretically researched.

为此，从薄层振幅调谐具有周期性陷频谱特征出发，提出了二阶功率谱的概念，从理论上对薄层的二阶功率谱特征进行了研究，建立了薄层厚度与二阶功率谱极大值之间的对应关系，给出了利用二阶功率谱进行薄层厚度预测的理论依据和方法，即根据薄层厚度和二阶功率谱的能量关系制作二阶功率谱图，图上强能量团对应的时间即为薄层时间厚度。

Two above methods are generalized to tensor product Bézier surfaces and triangular Bézier surfaces, we give two approaches of degree reduction for tensor product Bézier surfaces, each of which reduces a given degree n×m tensor product Bézier surface to a n〓×m〓 one, and two methods of degree reduction for triangular Bézier surfaces, which reduce a given degree n triangular Bézier surface to a degree m one. The explicit formulas of control points for reduced tensor product and triangular Bézier surfaces are obtained respectively.

张量积Bézier曲面的两种降阶方法均可把n×m阶张量积Bézier曲面一次降阶为n〓×m〓阶张量积Bézier曲面；三角Bézier曲面的两种降阶方法均可把n阶三角Bézier曲面一次降阶为m阶三角Bézier曲面，并给出降阶张量积Bézier曲面和降阶三角Bézier曲面控制顶点的显示表示式。

Generally speaking, if the RGB version, Black Edition version the subtractive primary colors halftoning relatively long, black plate halftoning relatively short, the two gradient natural interface to give the feeling of continuous full; if the black-and-white and color reproduction Halftoning is longer (4 editions of total-order increases more than 360%), the business card printing and membership card of the effect of making products more likely to occur in the mirror, laodelphax, and is not conducive to the polychromatic, high-speed business card printing and membership card; if the black version and the version on the tricolors of halftoning shorter (yellow, magenta, black pteroceltis 30, 80, four editions of halftoning cannot is shorter than the 240%), the business card printing and membership card making products more likely to occur on the effect of, thin, image density contrast, hue, uncontinuously, spacious icing on the cake is not enough.

一般讲，如果以三原色版为主，黑版为辅，三原色版阶调相对要长，黑版阶调相对要短，两者阶调自然衔接，给人以连续完整的感觉；如果黑版和三原色阶调都长（四个版总阶调长超过360％），制卡和会员卡制作品的效果容易产生灰、平、闷，而且不利于多色高速制卡和会员卡制作；如果黑版和三原色版阶调都短（黄50、品红50、青30、黑80，四个版阶调总长不能短于240％），制卡和会员卡制作品的效果容易产生浅、平、薄、图像密度反差不均，色调不连续的感觉，立体感、空间感不够。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。