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Bernstein type theorem; Quaternion Euclidean space; minimal Lagrangian graphs; Twisted special Lagrangian submanifold; twisted normal bundle; Austere submanifolds; Real space form; Complex space form; Hamiltonian minimal submanifold; A Lagrangian submanifold with conformal Maslov form

基础科学,数学,几何、拓扑伯恩斯坦型定理;四元数欧氏空间;极小拉格朗日图;扭曲特殊拉格朗日子流形;扭曲法丛; Austere子流形;实空间形式;复空间形式;哈密尔顿极小子流形;具有共形Maslov形式的拉格朗日子流形

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中,我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型,同时给出了该模型L算子的具体矩阵表示形式,并定义了R矩阵,monodromy矩阵以及转移矩阵;接着利用L算子的矩阵形式,给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值,并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值;然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式,并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程;最后给出了模型的嵌套的边界K矩阵的具体形式,从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

By applying the law of energy transformation and conservation in electromagnetism to a sinusoidal steady state linear exchange network,the aauthors obtain a new expression of the law in which the merits of such energy forms as resistance,capacitance,self induction and mutual induction of four kinds of elements are embodied.

利用式中统一体现的电阻、电容、自感和互感4种元件能量形式的优点,以及网络现代场论关于元件复阻抗率和积分形式的复阻抗等概念,分别给出4种元件具体的积分形式复阻抗。

The range of evolutionary theories during "the eclipse of Darwinism" included forms of "saltationism" in which new species were thought to arise through "jumps" rather than gradual adaptation, forms of orthogenesis claiming that species had an inherent tendency to change in a particular direction, and forms of neo-Lamarckism in which inheritance of acquired characteristics led to progress.

在"达尔文主义衰落时期",进化理论包括各种形式的"骤变说",认为新种是通过"跳跃"而不是通过逐渐适应产生的;也包括各种形式的直生论,声称物种有着内在的、向某一特定方向变化的趋势;还包括各种形式的新拉马克主义,认为获得性状遗传导致进步。

The Nietzschean conception of body seems then to make a place for new kinds of bodies with new kinds of inner lives, a place in fact that it is in our power to construct.

尼采关于身体的概念似乎让位于对于伴随新的内在生命形式的新的形式的身体,这一新的空间形式实际上是在我们的权力中加以建构的。

Secondly, the thesis tries to find out aspects on the works of art that are on the surface of impersonal existence, associated with art and people, and most likely to draw people's attention other than their reality. These aspects are images and forms, especially the using of lines, which is the most living form in my study of Chinese painting. The topic extends from the using and exhibition of lines in the sketching and art creation, further to the intuition, which is the way and measure of obtaining the form of the works of art. Intuition is a nonfigurative emotional activity that melting the sensibility and logos of human being. The thesis discloses that emotion is the momentum of art intuition.

然后试图找到艺术作品这一客观实物上最为表层的、与艺术、与人相关的,除了它的实在以外最容易被关注的部分---形式,尤其是我所学习的中国画中,线这一最具生命感的形式,在花鸟写生和创作中的运用和体现,进而深入到艺术作品的形式获得的途径和方法---直觉,这种人类感性和理性相融合的情感的复杂抽象活动,并揭示出艺术直觉的动因是情感,人们为了满足某种心灵的需要而进行艺术的直觉和积累。

Aristotle's idea of form could be divided into two parts, the aesthetic form and the ontological form.

亚里士多德的形式观分为审美意义上的形式和本体论意义上的形式

The result shows that Co and Cu are associated with exchangeable fractions, which represents stonger mobility;Pb in iron-manganese fraction represents stonger potential mobility;Zn and Cr existed in oxidizable and residual fraction and Ni in residues represents weak mobility or immobility.

研究结果表明:Co、Cu、Mn存在可交换态,表现有相对较强的迁移性和生物可利用性;Pb主要以还原态的形式存在,表明具有较强的潜在危害性;Zn、Cr主要以氧化态和残渣态形式存在,Ni主要以残渣态的形式存在,这些元素的迁移性较弱。

Based on the above work, a method is presented for translating LFC function definitions into the intermediate representation, which includes analyses of recursive parameters and definition forms of functions, parameter substitution, representation translation of patterns and expressions, transformation of function definitions from incomplete construction forms to complete construction forms, and pattern-matching translation.

在此基础上,设计了LFC函数定义到中间表示形式的翻译和变换方法,包括对函数递归参数和定义形式的分析,参数一致化,模式和表达式表示形式的翻译,部分构造式到完全构造式的变换,和模式匹配翻译等。

The parametric representation of segment can be gained from quadratic patch and constrained equations with cubic patches.

利用二次曲面的参数形式,由三次曲面片可得到曲线的隐参数约束形式,从而得到曲线的参数形式

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