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In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中,我们首先给出了两个关于新椭球的极值性质;然后研究了L_p仿射表面积,将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积;建立了L_p质心体和其极体的Brunn-Minkowski型不等式;研究了凸体的最小L_p平均宽度,给(来源:3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件,最后给出了凸体L_p平均宽度位置的稳定性。

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中,首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示,揭示了这两类布尔函数的平衡性,随后研究了它们的Walsh循环谱和自相关函数等,得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率,分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力;其次,我们合理地给出了布尔向量函数最佳仿射逼近的新定义,利用布尔随机变量联合分布的分解式考察了相应的谱特征,并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界;最后,我们还考察了布尔向量函数第二类非线性度的谱特征,给出了布尔向量函数第二类非线性度的一个上界,并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

At last,we give the definition of FGT rings which is the extension of cogenerator rings.

在第二章中,我们由FGT -内射模的启发引入了CT -内射模的概念,在这一章我们知道ann -自内射环其实就是CT -内射环,只是ann -自内射环是从零化子的角度来讨论,而CT -内射是从循环无挠模的角度来进行讨论的,同时也给出了一些等价条件。

Under the oblique incidence cases, the optical path difference of light beam distributed on the edge of steps can be calculated by using the geometric method. Then, according to the multi-slit Fraunhofer diffraction, the expression of diffraction intensity of reflection step grating is deduced.

针对反射性阶梯光栅,利用几何方法计算出斜入射情况下光束在台阶边缘的光程差的分布情况,根据多缝夫琅和费衍射推导出反射型阶梯光栅的衍射光强表达式。

Based on Matlab, simulation program of grating diffraction is complied. By changing adjustable parameters, computer simulations of white light interference and diffraction experiments (i. e., grating diffraction, single slit and double-slit diffraction, double-beam and multi-beam interference experiments) can be achieved.

基于Matlab软件编写出白光光栅衍射仿真程序,通过改变可调参数实现白光干涉、衍射实验(包括:光栅衍射、单缝及双缝衍射、双光束及多光束干涉等)的计算机仿真。

In addition, molecular orientation behaviors induced by shearing, electric field and magnetic field were investigated. The space group of the monomers A3EO7 and A9EO7 were determined as P2〓2〓2 and P112/m by means of electron diffraction and X-ray diffraction. Liquid crystalline properties of the monomer and the polymer were studied using DSC, variable X-ray diffraction, TEM and polarized optical microscope. Both monomers exhibit monotropic liquid crystalline behavior, and they also give a metastable phase on the cooling process. The polymer PA9EO7 shows enantiotropic liquid crystalline properties. Thus the rigid polymer backbone is not a fatal defect that completely distorts the packing arrangement of the mesogenic moiety in the side chain liquid crystalline polyacetylene.

结合电子衍射倾转方法和粉末X射线衍射技术,确定了两个液晶小分子A3EO7和A9EO7的晶胞参数和空间群,采用Cerius〓模拟软件,运用分子模拟的方法给出了小分子在晶胞中的排列方式;利用DSC、变温X射线衍射技术和透射电子显微镜研究了小分子和聚合物的液晶态,单体A3EO7和A9EO7表现出单向液晶性质,并且在降温过程中都表现出一个亚稳液晶相或亚稳结晶相,聚合物PA9EO7具有双向液晶性;采用偏光显微镜和X射线平板照相技术,研究了剪切和电场对聚合物分子取向的影响,在不同的液晶态,剪切作用对聚合物PA9EO7具有不同的诱导取向结果,直流电场可以诱导聚合物联苯液晶基元沿施加电场方向取向。

Firstly, we propose solid-state continue-wave laser to crystallized poly-Si films, the distinction of excimer laser, CW-laser possessed high stability, reliability, durable and low-cost. In this way, we used laser scanning speed and energy to analysis a status of grain lateral growth and crystallizes mechanism for various condition, furthermore, we succeed to crystallize great grain size more than 10 μm. To compare excimer laser crystallization and Sequential lateral solidification, CW-laser don't needed extra procedure to carrier out large grain size.

首先,吾人提出有别於传统准分子雷射结晶技术的固态连续波雷射横向再结晶技术,固态连续波雷射具有高稳定的特性且相较於准分子雷射具有可靠、耐用、价廉且维护成本低的优点,在此我们利用不同的扫描速度与雷射能量,分析出在不同条件下的横向结晶状态与其成长机制,并且成功的成长出大於10 μm的晶粒大小,相较於准分子雷射结晶与循序性侧向结晶,固态连续波雷射不需额外的步骤即可达成大晶粒成长。

Firstly, affine covariant neighborhoods of visual words are used to verify the spatial consistency. Secondly, a set of affine transformation matrices between the corresponding covariant regions is calculated, and the matrix with the most inliers is chosen as the best matching affine transformation matrix. In this step, only a single pair of corresponding affine covariant regions is used to calculate the 6 degree of freedom affine transformation for acceleration. In the last step, the spatial consistency is verified by the BMATM.

首先通过视觉关键词仿射协变的空间邻近特征集进行初步空间关系一致性匹配;然后计算对应仿射协变区块的多组可能的仿射变换矩阵,并选择满足区块匹配最多的变换矩阵作为对象与图像之间最终仿射变换矩阵,其中,仅利用一对协变区块来计算自由度为6的仿射变换的算法有效地提高了计算速度和鲁棒性;最后通过计算出的仿射变换矩阵来精确验证对象与图像之间的空间位置关系是否一致。

Zen and Shin jump to catch them then one shoots an arrow while the other sends out the thunder toward the devil king.

天行还没说完,木土二人就痛哼了一声,向后飞摔而出,战心两人纵身接住了他们,然后一人射出圣箭,一人使出雷光,向天魔打去,可是圣箭一碰到天魔就消失了,雷光也像帮天魔搔痒般,天行著急的回身望去,只见一道白光从童博眉心激射而出,之后童博整个人都被白光包围,这团光瞬间变成光柱冲向天空,连已成形的天魔都被其强烈正气逼退了一步

Special morphisms such as monomorphisms, epimorphisms, sections, retractions, extremal monomorphisms, extremal epimorphisms, constant morphisms, coconstant morphisms, zero morphisms and special objects such as initial objects, terminal objects and zero objects are studied and their characterization is obtained.

较为系统地讨论了范畴Quant的性质,考察了范畴Quant中单态射、满态射、截节、收缩、极端单态射、极端满态射、常值态射、余常值态射、零态射等特殊态射和始对象、终对象等特殊对象,给出了它们的具体刻划,得到了范畴Quant是良幂的,余良幂点化范畴。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?