查询词典 algebraic fraction

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 sums may be from any one or combination of the following topics: pre-algebra, algebraic expressions, algebraic expansion (multiplication of binomials and trinomials), algebraic factors, simple equations,simultaneous equations and quadratic equations.

数学试题可能来自于下列主题之一或者其组合：学龄前数学，数学表达式，代数表达式，代数因数，简单等式，联立方程式和二次方程式。

Secondly, in a more generalized framestructrue--lattice-ordered monoids,the notion of lattice-valued Mealy-type automata is introduced,we traverse some algebraic properties of this automata and investigate the congruences and homomorphisms of this type automata.Our main results indicate that the algebraic properties of lattice-valued Mealy-type automata have Close links to the algebraic properties of lattice-ordered monoids which automata take values in.Futhermore we study the minimization of lattice-valued Mealy-type automata and provide an algorithm to achieve the minimal lattice-valued Mealy-type automata within finite steps.

其次，在更一般的框架—格半群意义下，提出具有输入和输出字符的自动机——格值Mealy自动机的概念，从代数角度出发较详细地研究了此类自动机具有的性质，同时研究了此类自动机的同余和同态，揭示了此类自动机的代数性质和格半群的紧密联系，最终研究了格值Mealy自动机的极小化问题，并给出了在有限步可实现此极小化的算法。

Formulae for the structural volume fraction of phases and the quantitative relationship between the phase amount s obtained respectively by calculations in atomic fraction and in mass fraction of elements are derived for multi-phase alloys.

导出了多相合金组成相结构体积分数以及用成分的原子分数与质量分数求得的相含量之间的关系。

"In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator."

简分数的分子和分母都是整数；如果分子或分母本身也是分数，则称为繁分数

"In a simple fraction, both are integer s. A complex fraction has a fraction in the numerator or denominator."

简分数的分子和分母都是整数；如果分子或分母本身也是分数，则称为繁分数

In common glass fiber reinforced polyolefine pipe, when the volume faraction is less than the critical value, the glass fiber can not act as reinforcement, on the contray, it would reduce the whole intensity of the compound material. However, when extruded in combined stress field, the extend intensity of the compound system increases when the volume fraction of glass fibers is less than the critical value. When the glass fiber volume fraction is higher than the critical value, the required glass fiber volume fraction of compound fibers extruded in the combined stress field is less than theory value.

一般玻璃纤维增强管材在常规挤出时当添加的玻璃纤维体积含量小于临界体积分数(当添加的玻纤的复合体系拉伸强度等于基体聚合物材料的拉伸强度时的玻纤体积分数)时，玻纤起不到增强的作用，反而会使复合材料的整体强度降低；但在复合应力场下挤出时，当添加的玻纤含量小于临界体积分数时，复合体系的拉伸强度不但没有降低反而升高了；当添加的玻纤含量大于临界体积分数时，复合体系要达到同样强度，经过复合应力场的玻纤增强管材需要的体积分数小于理论值。

Linear solvation energy relation was firstly introduced in the paper, and the method and step of gaining the special parameters of solvent and solute were introduced in detail, and these special parameters were used to selection and optimization of extractive agent in extractive distillation. The model of predicting activity coefficient at infinite dilution was established by linear solvation energy relation. By the above theory, several candidate solvents were selected to separate C5 fraction, and by experiment of vapor-liquid phase equilibrium at atmosphere pressure, the mixture of N-methyl-pyrrolidone including 4% water was used extractive agent of separating C5 fraction. Then binary vapor-liquid phase equilibrium of the some compound in C5 fraction and N-methyl-pyrolidone were determined at atmosphere pressure and correlated by NRTL equation. Isoprene being objective compound, experiments were operated in the laboratory-scale column; the processes were simulated by RadFrac model in ASPEN PLUS. And by the combination of experiment and simulation, the new process of separation of C5 was established.

本文首先对线性溶剂化能关系进行了分析介绍，也介绍了采用溶剂化能关系得到溶质溶剂特性参数的方法步骤，并将这些参数用于萃取精馏萃取剂的选择与优化；也通过线性溶剂化能关系式建立无限稀释活度系数预测模型，取得了一定的预测精度；将通过上述方法初选的溶剂进行了常压汽液平衡的测定研究，通过实验研究选定含水4%的N-甲基吡咯烷酮溶液做为C5分离的萃取剂，测定了大量N-甲基吡咯烷酮与C5组分的二元平衡数据，并进行关联计算；以异戊二烯为目标产物在实验室规模的精馏塔内进行了C5分离的实验研究，取得大量塔内数据；通过选用合适的热力学模型，采用ASPEN中RadFrac模块对分离过程进行模拟研究，通过实验与模拟相结合，建立了C5分离的新工艺，为将来的工业化打下了坚实的基础。

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。

Hydrocarbon structural-group components in the hydrotreating of residual oils The residual oils were preseparated into 4 fractions by alumina/silica serial column A method for measuring the hydrocarbon structural-group components in saturated fraction, aromatic fraction, and resin fraction of residual oils was established using low resolution, high ionization voltage mass spectroscopy.

渣油加氢处理过程烃类结构族组成变化研究采用氧化铝/硅胶串联柱对渣油样品进行四组分预分离，建立了低分辨、高离子化电压质谱测定渣油饱和烃、芳烃和胶质组分烃类结构族组成的方法。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。