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Necessary and sufficient conditions for the existence and the expressions of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, and skewbisymmetric solution to 4 kinds of systems of linear matrix equations over a regular ring with an involutorial antiautomorphism are given.
利用矩阵技巧和所建立的矩阵理论,给出了正则环上五类矩阵方程组有解的若干充要条件和一般解的表达公式。这些矩阵方程组除了它们在理论上有重要的意义外,还有重要的应用价值。在具有对合反自同构的正则环上,给出了四类矩阵方程组有双对称解,中心对称解,斜中心对称解,广自共轭解,斜广自共轭解,自共轭解以及斜自共轭解的充要条件及其这些解的具体表达式。
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Chapter 3, we study the stability of approximate solutions of nonlinear equation problems(the continuous function is defined in the linear normed space).We prove that most of approximate solutions of nonlinear equation problems are stable; all accurate solutions are the essential points of the set of approximate solution; the connected component which contains the accurate solution is the essential component of the set of approximate solution; especially the number of essential components is finite.
第三章,研究定义在线性赋范空间上的非线性方程问题近似解及其解集的稳定性,得到线性赋范空间上在Baire分类下大多数非线性方程问题的近似解都是稳定的;精确解是近似解集的本质解;包含精确解的近似解集的连通区是本质连通区;包含精确解的近似解集的连通区为有限个。
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The temperature effect on the oil yield was discussed at first. Then, analytical work was carried out as follows: the ultimate analysis and physi-chemical analysis of the pyrolytic oil comprised a sketch of the fuel properties of the oil; Then, through the distillation analysis of the oil, the fraction composition of the "unrefined"oil was known. After that, a general knowledge of the aromaticity and saturation of the hydrocarbons in the oil was provided by the outcome of the FT-IR functional group analysis. Also, from the analysis, the form of the polar functional groups and their distribution in different fractions of the oil were learned.
文中首先对不同热解温度下热解油产率进行分析讨论,然后,针对热解油品质进行了一系列分析:通过元素组成和理化特性的分析,对热解油作为燃料特性有了一个大致了解;通过实沸点蒸馏分析,得到热解油作为一种未提炼油的馏分分布,并为后续热解油馏分的细入分析提供了前提;通过对热解全油和各窄馏分的FT-IR官能团分析,对热解油的芳香性、不饱和性有了整体的了解,并且清楚了热解油中的极性官能团存在型式及其在热解油不同馏分中的分布。
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Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.
第二章中研究了非线性发展方程的精确解:用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能,它不但使我们能找到已知解而且也能找出新的根式孤立波解;用齐次平衡法给出一个曲面波方程的精确孤立波解,并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法,作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等;用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解;提出sine-Gordon型方程的直接求解方法,并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。
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By using constructive methods and complicated techniques of matrices, necessary and sufficient conditions for the existence of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, skewbisymmetric solution and various interlaced solutions over a finite central algebra Ω to systems of generalized Sylvester matrix equations overΩ are presented.
利用构造方法和复杂的矩阵技巧,研究了有限维中心代数上的多项式环Ω上的广义Sylvester矩阵方程组在Ω上有自共轭解,斜自共轭解,广自共轭解,斜广自共轭解,中心对称解,斜中心对称解,双对称解,斜双对称解及其各种交错解的充要条件。
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The solutions of ProblemⅠ,ⅡandⅢare discussed by using the generalized conjugate gradient method. When the equation is consistent, the solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found; When the equation is inconsistent, the least-squares solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are also found successfully. The generalized conjugate gradient method has the following traits:(1) It can judge automatically the information of solutions.
利用广义共轭梯度法,讨论了问题Ⅰ、Ⅱ和Ⅲ解的情况:当方程相容时,研究了方程的一般解、对称解、中心对称解、自反矩阵解、双对称解、对称次反对称解及其最佳逼近等问题;当方程不相容时,研究了方程的最小二乘一般解、最小二乘对称解、最小二乘中心对称解、最小二乘自反矩阵解、最小二乘双对称解、最小二乘对称次反对称解及其最佳逼近等问题。
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Specially here hand rips 包菜, did not look its where all can eat, but you can think, it is a here oral traditions most resounding vegetable, the flavor foot, because it suffices spicily, suffices the fragrance, suffices crisply, an eldest child bowl puts on the front, eats the people all can 百思不得其解, how is small small 包菜 also can do?
特别是这里的手撕包菜,别看它哪里都能吃到,可是你能想到,它是这里口碑最为响亮的一道菜,味道足,因为它够辣,够香,够脆,老大一碗放在面前,吃的人都能百思不得其解,一个小小包菜还能怎么做?
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Then quality upgrading scheme was explored in order to solve the high content of sulphur and nitrogen in pyrolytic oil, low flash point as well. Yields of pyrolysis of scrap tires in a pilot-scale rotary kiln under 550℃were firstly summarized. Then elemental composition and physiochemical properties were analyzed on both pyrolytic crude oil and its fractions. Based on these researches, the feasibility that pyrolytic oil is used as fuel was discussed. From FT-IR spectra the functional group compounds were generally acquainted, and by column chromatography analysis chemical compositions were clearly known. Then through GC analysis the absolute content of BTX in pyrolytic crude oil was defined.
本文首先考察了中试回转窑550℃下的废轮胎热解产率及热解原油的元素组成和理化特性,对其作为燃料使用的可行性进行了分析;通过实沸点蒸馏研究了轻质、中质馏分热解油的基本特性:红外分析得出了有代表性馏分热解油的大致官能团组成形式,对热解油的强芳香性和部分不饱和性有了整体了解;化学族组成分析进一步了解了热解油内在化学族组成和含量,对热解油的内在性质有了更为深入理解;气相色谱分析对热解油中富含的苯、甲苯和二甲苯进行绝对定量,为热解油提取BTX化工原料的经济性提供了参考。
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For problem II, many references have studied it and obtained its common solutions, symmetric solutions, skew-symmetric solutions and its optimal approximation constrained solution, but the representation of its solutions are complicated.
本文首次采用迭代法系统的研究了它求一般解、对称解、反求解约束矩阵方程及其最佳逼近的迭代法的研究对称解、中心对称解、中心反对称解、自反矩阵解、反自反矩阵解、双对称解、对称次反对称解及其最佳逼近问题,并首次成功地解决了它求中心对称解、中心反对称解、自反矩阵解、反自反矩阵解、双对称解与对称次反对称解及其最佳逼近的问题,拓广和改进了已有的研究成果。
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The separation purities by new method were determined and compared with those of some traditional methods by SDS-PAGE gradient electrophoresis.
其次,采用中性蛋白酶、碱性蛋白酶等几种常用的蛋白酶对分离的7S和11S球蛋白进行酶解比较实验,发现在相同条件下,7S比11S酶解后的酸溶多肽得率高,7S比11S相对更容易被酶解;通过扫描电镜和SDS-PAGE电泳分析7S和11S的酶解产物,表明7S和11S分子酶解前后的变化明显,但两种大豆蛋白经酶解作用后,均有相当部分未被酶解的蛋白分子残留在酶解残渣中,而酶解离心后的上清液中则已基本不存在原来的蛋白质大分子。
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deliquescence; deliquium:潮解,潮解状,潮解物,融化
[五爪]甜苹果 Delicious | 潮解,潮解状,潮解物,融化 deliquescence, deliquium | 分娩,生产,送达 delivery
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deportation order:递解离境令;递解令
deportation of an alien 递解外国人离境;递解外籍人士离境 | deportation order 递解离境令;递解令 | deportee 递解离境者
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exact solution:准确解;精确解;真确解
exact 真确 | exact solution 准确解;精确解;真确解 | exact value 法确解;精确解;真确解
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exact value:法确解;精确解;真确解
exact solution 准确解;精确解;真确解 | exact value 法确解;精确解;真确解 | example 例
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exact value:法确解;精确解;真确解Btu中国学习动力网
exact solution 准确解;精确解;真确解Btu中国学习动力网 | exact value 法确解;精确解;真确解Btu中国学习动力网 | example 例Btu中国学习动力网
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dissociative recombination:解離性復合 = 離解復合[過程]
dissociative laser 離解雷射 = 離解激光器 | dissociative recombination 解離性復合 = 離解復合[過程] | dissociative state 離解態
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strong solution:强解
得到的结果是:如果事先假设纳维尔 史托克方程的解是强解(strong solution),则解是唯一. 所以此问题变成:弱解与强解之间的差距有多大,有没有可能弱解会等於强解?换句话说,是不是能得到纳维尔 史托克方程的全时间平滑解?
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dissociative disorder:解离症 解离性疾患 解离疾患 解离性疾患 解离症
Factitious disorder 伪病症 人为疾患 伪病障碍 伪病 诈病症 | Dissociative disorder 解离症 解离性疾患 解离疾患 解离性疾患 解离症 | Autistic disorder 自闭症 自闭性疾患 自闭症 自闭障碍 自闭症
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dissociative reaction:解离反应解离反应
dissociative pattern 解离模式解离模式 | dissociative reaction 解离反应解离反应 | dissociative type 解离型
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dissociative pattern:解离模式解离模式
dissociative neurosis 解离型神经官能症 | dissociative pattern 解离模式解离模式 | dissociative reaction 解离反应解离反应