查询词典 sequence of complex numbers

In this thesis, a series of complexes based on aromatic multicarboxylic acids have been successfully synthesized in solutions or under hydrothermal conditions. Their structure and properties are investigated.(1) Eight complex compounds have been synthesized and characterized by X-ray single crystal diffractive technology: The eight complexes are listed as following: [Cu242] complex 1 [Cd22(H2O)4]·4H2O complex 2 [Co(H2btc)(H2O)3] complex 3 [Co2(H2O)2]·H2O complex 4 [Ni22(H2O)4] complex 5 [Cu22(H2O)4] complex 6 [Co(H2biim)2(H2O)2](H2btc) complex 7 [Zn(H2biim)2(H2O)2](H2btc) complex 8 The structure of complex 1 is dinuclear complex resulted from weak interactions（0-D chain）; complex 2 is 1-D chain stucture result from interactions of water molecules; complex 3、4、5、6 are coordination polymers using hydrothermal synthses, where the first kind ligand is H4btc, the second kind ligand is phen and Co2+、Ni2+、Cu2+ as center ions, respectively. While the coordination enviroment of Co2+ is the same in complex 3, the coordination geometries around the Co atoms in complex 4 are obviously different because of the different reaction conditions. In complex 4, the 1-D chains are connected into 2-D layer through carboxy groups of ligand H4btc. The structures of complex 5、6 are 1-D chain stucture result from interactions of carboxy groups in ligand H4btc. Complex 7、8 are homeomorphy compounds. Either of them are linked to the 3-D chains through intermolecular hydrogen bonds. Each H4btc lose two protons and H2btc2- acts as negative electron balance.

合成了8个结构新颖的配合物，并用X-射线单晶结构分析方法确定了晶体结构，分别为： [Cu242] 配合物1 [Cd22(H2O)4]·4H2O 配合物2 [Co(H2btc)(H2O)3] 配合物3 [Co2(H2O)2]·H2O 配合物4 [Ni22(H2O)4] 配合物5 [Cu22(H2O)4] 配合物6 [Co(H2biim)2(H2O)2](H2btc)配合物7 [Zn(H2biim)2(H2O)2](H2btc)配合物8 配合物1是一个依靠弱作用连接的双核铜结构；配合物2借助水分子形成一维链状结构；配合物3、4、5、6是以H4btc为第一配体、phen为第二配体，通过水热法合成的配合物，其中，Co2+、Ni2+、Cu2+为中心离子；配合物3中的二价钴离子具有相同的配位环境，不同反应条件下得到的配合物4中的二价钴离子存在不同的配位环境，在配合物4中，一维链通过H4btc上的羧基形成一个二维层结构；配合物5、6是借助H4btc上的羧基形成的一维链状结构；配合物7、8属于异质同晶结构，它们的分子通过分子间氢键形成三维网状结构，H4btc上的羧基失去2个质子，作为一个二价负离子起到电荷平衡作用。

In this paper,fuzzy complex numbers,limits of the sequence of fuzzy complex numbers,the metrical convergence and levelwise convergence,the continuity offuzzy complex functions,the calculus of fuzzy complex functions,theseries whose terms are fuzzy complex numbers,the series whose terms arefuzzy complex functions,the fuzzy complex measure and fuzzy differentialequation are investigated in details.All this may be a foundation forfurther researching fuzzy complex analysis.

本文对模糊复数、模糊复数列的极限、度量收敛与水平收敛、模糊复函数的连续性、模糊复函数的微积分、模糊复数项级数、模糊复函数项级数、模糊复测度及模糊微分方程理论进行了详细的研究，为模糊复分析的进一步研究打下一定基础。

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何，主要考虑如下的问题：平面上的点集的复数表示；平面曲线的复数表示；复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用，在说明这些应用的同时介绍一些数学上常用的思考方法。

On the basis of Ritter real morphological associative memory, complex lattices and complex rings are defined respectively through introducing two ordinal relationships between complex numbers, consequently the same recall rules are obtained as RMAM in complex domain and construct a class of complex MAM, called extended RMAM. The CMAM can directly process complex signals such as FFT-ed complex data.

在Ritter的实域形态联想记忆(real morphological associative memory，简称RMAM)模型的基础上，通过在复数域中序关系的引入构成复数格和环，导出了在复数域上与RMAM相一致的联想规则，构建了一类复域MAM(complex MAM，简称CMAM)，从而将RMAM从实域推广至复域，使其可直接处理复信号如经FFT(fast Fourier Transformation变换所得数据。

In 2000, F. LUCA proved that Fermat number are anti-sociable numbers, and in 2005, M. H. LE proved all powers of 2 are anti-sociable numbers. We have used the method of M. H. LE to obtain some new results of the anti-sociable numbers. For every integer n containing prime divisors that are 1 mod 4, let p mod 4 be an arbitrary prime divisor of n. There is at least one anti-sociable number in n^2, p^2n^2, p^4n^2, and p^6n^2. Therefore we can prove that anti-sociable numbers have positive density in perfect square numbers. We also give a method to find the exact anti-sociable numbers.

LUCA证明了Fermat数都是孤立数；2005年，乐茂华教授证明了2的方幂都是孤立数，用乐茂华教授的方法给出孤立数的一些新的结果：对于任意含有4w+1型素因子的正整数n，设p为n的任意一个4w+1型素因子，则在n^2，p^2n^2，p^4n^2，p^6n^2里至少有一个是孤立数，因此可以证明孤立数在完全平方数里有正密度，另外也给出求解确定孤立数的方法。

To the moduli with special forms (such as Mersenne numbers, pseudo-Mersenne numbers, generalized Mersenne numbers), we analysis and study modular arithmetic laws, and obtain the conclusions as follows: for Mersenne numbers and pseudo-Mersenne numbers, we get modular arithmetic formulas, and determine exact expressions of the number of modular addition to generalized Mersenne numbers generated by irreducible monic trinomials and pentanomials.

针对具有特殊形式的模数(如Mersenne数，伪Mersenne数，广义Mersenne数等)，深入分析了其取模运算规律，得到如下结果：对Mersenne数和伪Mersenne数，给出了取模运算转换为模加或模减运算的公式；对模数为任意首一三项式和五项式产生的广义Mersenne数，推导了相应取模运算的复杂度计算解析表达式。

If we rechange these two numbers: one number to two times as many as its original value, and the other to four times as many as its original value, the average of the five numbers will become 13. Which two numbers have been changed?I only know that the total sum of the original numbers is 45(5×9), the total sum of the 5 numbers after the first change is 40(5×8), and the total sum of the 5 numbers after the second change is 65(13×5). What can I do next? Please help me with the problem.Thank you!

这就要求琬婷一方面要用英语准确地把她想要问的问题清晰地表达出来，只有这样网上"数学博士"才能明白你要问的问题；另一方面琬婷还必须能够正确理解网上"数学博士"对她所提问题的英语答复，这两者是相互依赖的，否则就不能正确地帮助你理解和解决问题，这就要求琬婷必须用英语进行正确地表述和理解。

MIRV missile separation rule was built. Preliminary optimum design and optimize separation sequence were carried out. According to target attacking sequence and separation sequence which are preliminarily certain, the optimum separation sequence was determined by building compatibility rule of target attacking sequence and MIRV missile separation sequence.

结合多弹头导弹弹头特性建立了子弹头的分导原则，对子弹头的分导顺序进行了初步设计与优化根据确定的目标打击顺序和优化的子弹头分导顺序，建立目标打去顺序与子弹头分导顺序的一致性原则来确定子弹头的最佳分导顺序。

According to the interpreted approaches of sequence stratigraphy,the lower Cretaceous strata in the northern Wuerxun sag can be divided into four types of sequence,namely simply faulted sequence,quickly faulted-depressed sequence,syngenetic faulted-depressed sequence and simply depressed sequence.

应用层序地层学解释方法对乌尔逊凹陷北部下白垩统地层进行了层序地层分析，将其划分为4个层序和4种层序类型，即简单断陷层序、快速断坳层序、同生断坳层序和简单坳陷层序。

The method for determining a phase-noise spectrum comprises generating real complex samples, by digitally sampling a phase component and phase quadrature component of the input signal in baseband, determining ideal complex samples from generated real samples, establishing complex quotients from the real and ideal complex samples, generating modified complex quotients by assigning the value 1 to the complex quotients, and subjecting the modified complex quotients to a Fourier transform.

所述方法包括以下步骤：通过对基带中的所述输入信号的相位分量和相位正交分量进行数字采样，产生实际复数采样Areal(n(S100)；根据产生的实际采样Areal(n确定理想复数采样Aideal(n(S101)；根据实际复数采样Areal(n和理想复数采样Aideal(n形成复数商ΔA1(n＝Areal/Aideal；通过对所述复数商指定值1，产生经修正复数商B(n(S106)；以及对经修正复数商B(n进行傅立叶变换(S107)。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。