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The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

论文的创新点及主要结果如下:首先研究有界区域上具有奇异位势的非线性方程的非平凡解的存在性,运用变分方法与临界点理论,构造这一类奇异椭圆方程的环绕型临界值,并由特征值的性质给出临界值的估计,同时证明局部条件成立,最终证明方程非平凡解的存在性。

Based on the simplified model, through modification and interpolation to the normal of surface, and making use of Phong shading to build lighting-model, it makes model more real in the status which has little detail and less facets.

在简化模型的基础上,通过对其表面法向量的修正与插值,并利用Phong着色处理构造的光照模型,使模型在极低的细节与面片数的状况下仍具有较高的真实感。

As a result, it comes to two kinds of intention structure: one is intention structure in phenomenology, with its language logic ""S" is "P""; the other is intention structure in Speech Act Theory of Austin and Searle, which is made up of psychological model and description of content in form of "noun + intentionality + clause".

在此基础上形成了两种意向结构:一是现象学范畴活动的意向结构,其语言的逻辑形式是"S是P";二是奥斯汀和塞尔的言语行为的意向结构,它是由某种心理模式和对内容的描述所构成,其语言结构是"名词性的词+意向词+从句"。正是从"S是P"这一语言的基本逻辑结构出发,语言的意向构造的基底才真正被找到。

Based on this, a new WENO difference scheme which based on Dispersion-Relation-Preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics problems has been implemented and compared in order to test capability of wave capturing; In addition, WENO schemes generally do not converge at high order in the presence of contact discontinuity of Euler equations, so a conservative front tracking technique coupling WENO schemes and Level Set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy.

本文研究了高阶精度加权基本无振荡格式及其在双曲守恒律方程中的应用,在此基础上作了两个方面的工作:一是针对高频声波问题构造出一种基于保色散关系的WENO有限差分格式,并对计算气动声学问题的代表性算例进行了大量数值实验,比较了该格式捕捉波数的能力;另外,针对高阶WENO格式在处理Euler方程的接触间断时精度有所降低的问题,研究了利用界面追踪技术Level Set方法和高阶激波捕捉WENO格式相结合的一种守恒追踪方法,并且给出有代表性的密度滑移面问题的算例,得到一致高阶精度的数值模拟结果。

In this dissertation, the genetic algorithm is discussed in detail. In order to improve the convergence of GA, considering that it is important to choose the probability of crossover and mutation , new p〓 and p〓 were varied depending on the fitness values.

该方法在遗传模式得到保证的基础上,加快新个体的产生速度,所构造的交叉算子和变异算子随适应值自动变化,对远离最优值的个体采用较大遗传算子值,对接近最优值的个体采用较小遗传算子值,提高得至撮优解的概率。

On the basis of a study and elaboration of data, some important conclusions are presented:(1) ruby deposits in marbles occur in the plutonic metamorphic zones of orogens where deep fault structure is developed;(2) ruby-bearing rocks are calcic crystalline marbles, rather than magnesian marbles;(3) amphiboles in ruby-bearing rocks are not tremolites, but silica-poor, alumina-rich and chrome-bearing calcic amphiboles, such as chrome-bearing magnesio-sadanagaites; and (4) the deposits are genetically of thermodynamical metamorphism type, rather than of pneumatolito-hydrothermal type or skarn type.

目前,对于与此类型矿床找矿相关的若干成因问题的认识,还相当模糊,主要表现在以下几方面:①对此类型矿床的产出构造背景认识不清;②认为含矿岩石为镁质大理岩或镁质夕卡岩;③认为含矿岩石中与红宝石共生的角闪石为透闪石;④认为此类矿床的成因类型为"气成一热液型"或"夕卡岩型"。本文在实际研究(王礼胜,1996)和文献资料整理的基础上,分别对这些问题给予了澄

Based on the analysis on primary wave frequency characteristics, some conclusions can be obtained: there were variations obviously for the characteristics of primary wave frequency spectrum in fracture zones, such as the dominant frequency shifted towards the low frequency, at this location the amplitude increased rapidly, and there were significant differences from the surrounding unbroken rocks.

通过对纵波频谱特征的分析得到这样的认识:对于断裂构造,纵波的频谱特征有着明显的变化,如纵波的主频位置向低频偏移,在低频位置上其幅度急剧地增大,与上下未破碎的岩层有着非常明显的差别。

A novel multisensor images fusion algorithm is presented based on lifting quincunx wavelt. First, the lifting quincunx wavelet transform is used to perform a multiscale decomposition of each image. Then, the wavelet coefficients of fused image are constructed using multiple operators according to different fusion rules. Finally, the reconstructed image is obtained through the inverse transform.

提出了一种基於提升方案的五株形小波的多传感器图像融合方法,即在提升五株形小波多尺度分解的基础上,对每一幅图像进行多尺度分解,按照不同的融合规则和融合运算子去构造融合图像对应的各小波系数,再通过逆变换重构融合后的图像。

A new method of controlling moving path in real-time for engineering animation is presented based on de Boer algorithm for B-spline construction.

本文引入一种新的实时控制工程动画运动路径的方法,以构造B样条的德波尔算法为基础,在初始驱动样条路径上进行节点插入的局部升阶,生成新的插入节点u,并实时响应控制参数的输入v,将输入参数节点与节点插入生成的节点形成一组控制节点用来控制样条的偏移度,然后引入关于时间t的线性函数的质量权重Wk来控制路径曲线的偏移量。

Based on cognition psychology and information entropy the author has proposed a simplifying algorithm that reduced the construction complexity degree.

2在粗糙集理论与挖掘算法的基础之上,研究了概念格的理论与知识表达方法,提出了具有完备性的分类知识的挖掘算法,构建了基于概念格的分类知识表达结构模型,并在认知心理学与信息熵的理论基础上,研究了降低概念格构造复杂度的简化算法。

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