因子模型

Based on considering the energy of nodes, the paper gives three attribute chatacteristics: flow factor、bridging factor 、convergence factor,and two ways to find articulation nodes:using energy model to find and finding key nodes in the connected gragh. At the same time,we use network simulator NS2 to simulate and verify our analysis results.

本文从考虑节点能量的角度出发，给出了关键节点的三个属性特征：流量因子、桥接因子、汇聚因子和两种判断关键节点的方式：利用能量模型判断和在连通图中判定关节点，同时用网络模拟器NS2加以模拟验证。

Based on the comparison of fixing discount factor method with the parameter e-valuation method, the heterogeneity function method is presented to determine the discount factor .

在比较固定贴现因子法及参数评估法的基础上，提出了用异质偏好函数法来确定贴现因子，并用实际的数据库验证了异质偏好函数法确定贴现因子在消费者行为模型的适应性方面比前两种方法优越，还讨论了三种方法的使用原则。

To make occurrence degree prediction, single factor regression algorithms, stepwise regression algorithms, discriminatory analysis, Markovian model, fuzzy mathematics theory and Back propagation neural network algorithms are studied and models are builded.

将筛选出的主要气象因子作为预测因子，分别用单因子回归预测法、逐步回归预测法、判别分析预测法、马尔柯夫链预测法、模糊数学预测法与神经网络预测法建立了关中地区小麦吸浆虫的发生程度的预测模型。

Based on the analysis of wheat production resources in China by using factor loading matrix theory, this paper builds the factor analysis models and ascertains the factors that influence the general output of wheat and their effect weight.

摘要在分析我国小麦生产资源的基础上，采用因子载荷矩阵理论，通过构建因子分析模型，确定了影响小麦总产量的各因子及其影响权重。

The integrating factor and the modifying factor were applied in controller, and interpolation method was used in the modifying factor fuzzy number model. A fuzzy switching mode was employed to avoid the undesirable disturbances caused by the switchover between the two control methods, and execution area of the fuzzy switchover can be set by membership function.

控制器中引入积分因子和自调整修正因子，对修正因子模糊数模型采用在线插值运算；采用模糊切换来保证2种控制的平稳过渡，模糊切换的执行区域可通过设定其隶属函数的形状参数加以确定。

We use Hodges-Lehmann statistic to do significance test for those factors. The multiplication model is applied in the quantitative analysis and weighted least squares method is introduced to solve the multiplication model. Although the matrix of coefficients is not of full rank and the solutions of the multiplication model are not unique, we prove that all those solutions are equivalent in some sense.

本文用Hodges-Lehmann统计量对风险因子作显著性检验，将乘法模型用于数据修匀和风险因子的定量分析中，并提出了用加权最小二乘法求解风险因子的风险度量，在系数矩阵不满秩、解不唯一的情况下证明了所有解在某种意义下的等价性。

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

Besides, the effects of light and temperature on stomata have not been modelled in any mechanistic model.

在第一章中，通过综述气孔对环境因子响应的数学模型的文献，发现目前对描述和模拟气孔行为的经验模型和机理模型是脱节的，可供选择的气孔模型还不能满足理论分析和实际应用的需要；经验模型没有机理的支持，不能用于理论分析，没有普适性；机理模型都过于复杂，而且其中的一些参数难以确定，所以它们还只能作定性模拟，不能作定量预测，另外，对于光强和温度的影响还未见有人模拟。

Four thin-layer drying models were investigated for the description of FIR-assisted freeze-drying characteristics. The models were exponential model, Page model, diffusion model, and approximation of the diffusion model. Tests were conducted using a three-level, three-factor (drying temperature, distance between sample and FIR heater, and sample thickness) design, and quadratic polynomial analyses were performed to relate the drying parameters of thin-layer drying model. The performance of these thin-layer drying models was evaluated by comparing the coefficient of correlation (R2), the sum of squares, and the RMSE amongst four models. Drying parameter K of the Page model gave the best results in describing freeze-drying with FIR of Tylose and sweet potato.

运用四种薄层乾燥模型（指数、Page、渗透模型及近似渗透模型）研究远红外线冷冻乾燥之乾燥特性，实验采用三阶层、三因子（远红外线加热器设定温度、远红外线加热器至样品表面之距离及样品之厚度）的实验设计，对於薄层乾燥模型的乾燥参数以二次多项式函数表示之，乾燥参数之二次多项式函数的最适性判断主要是藉由决定系数、模式缺乏适合性及均方根误差等值的比较而加以评估，以Tylose及甘薯样品而言，其中四种薄层乾燥模型的乾燥参数以Page模型之K值的结果为最佳。

At last, the research test the logistic regression model with sample dada. The results are as the following:(1)Based on the time series dada, the financial early-warning model contains more crucial information reflecting the dada characters, so it can avoid the obvious logic problem in the other analysis such as single section dada and multi-section dada analysis. The test result indicate that the new model have a more accuracy than others.(2) the research adopt the global principal component analysis to settle the problem of multiple collinearity, so the model would be more normative and precise.(3)the early-warning model uses the backward method to regress, so it gets a terser model of only five variables, but it still has a precise forecasting ability.

通过本文研究说明：（1）建立以时序数据为基础的财务危机预警模型，提高了样本中重要财务趋势特征的信息含量，从而克服了国内外单截面及多重截面分析中普遍存在的明显逻辑问题，检验结果表明，利用时序数据建立的logistic财务危机判别模型较截面数据基础模型的判别准确率要高；（2）采用全局主成份分析方法解决了模型中因子间的多重共线性问题，这一处理使logistic回归方法应用的规范度和严谨度得到明显改善；（3）我们采用向后逐步回归的办法进行回归，使模型大大得到了简化，其中只包含五个自变量，但是它的整体预测准确性却仍然比较高，使模型更具有实用性。

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。