选择函数

Through the use of a coordinate axis and function tools, it tries to create a mathematical model and integration of the choice funnel and the counter-fact inference, and to make a functional analysis of the funnel model and find the mathematical relationship between the choice funnel and the counter-fact inference, and finally to definite the demarcation of the range of its usage and the limit of its effectiveness.

通过使用坐标轴和函数工具，对"选择的漏斗"和"反事实推理"进行数学建模与整合，对漏斗模型进行函数分析，从而推导出"选择的漏斗"与"反事实推理"之间的数学关系，界定两者的使用范围和效力限度。

And the influence of the choice of neuron activation function and nonlinear cost function to learning process is also analyzed.

同时分析了神经元的激活函数的选择和非线性误差函数的选择对学习过程的影响。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

Second, a framework of finding invariant kernel space for any single parameter group is developed based on the fixed point theory of contractive mapping.

最后，对尺度不变核函数的初始函数及参数选择进行了深入研究，提出了基于微分方程组的初始函数求解方法及类似Fisher准则的参数选择依据。

In the program, user can choose multiple hidden layers and ten transfer functions for neuron including Linear transfer function, Sigmoid transfer function, Hyperbolic Tangent transfer function, Gaussian transfer function, etc. The capability of the program is better than that of program developed by our laboratory before.

本研究所开发之前馈式类神经网路视窗程式，在结构上可以选择多层的隐藏层，且转换函数有线性函数、S形函数、双曲正切函数、高斯函数等十种可做选择，比实验室开发的前一个版本，在功能上又提升了不少。

They are as following: to establish the selection method of the slaving designed quality functions according to the interrelationship among designed quality functions; to construct the measurement functions of the optimality robustness with the hypersurface characteristics around the current iterative point of designed quality functions.

具体地，根据设计性能函数之间相互关系给出了处于支配地位设计性能函数的选择方法；利用设计性能目标函数在当前迭代点附近的超曲面特征，构造设计性能目标函数的最优性健壮度量函数；按照系统有序化设计模型的最优解应同时具有可行性健壮与最优性健壮的要求，通过计算设计性能目标函数与约束函数对设计变量的波动与非设计参数的波动的一阶敏度来确定系统有序化设计模型中的健壮参数；并以此为基础建立了进一步考虑非设计参数波动对设计变量波动有影响的后健壮分析方法。

After certifying the irreality of ideal filtering function, we can get a better filter selecting a proper window function. Comparing two actual filters, we designate a good"Panama hat"filtering function. Meanwhile, an effectively linear interpolating function is introduced to raise the image reconstruction quality. Describing its realizing steps on the micro-computer briefly, we reconstructed some images from the anlogue projections of some models. The number of projection views is 180, 100 same interval parallel lines per view; the size of reconstructed images is 64×64 pixels with 64 gray levels; the reconstructing speeds are 40" on PC-386 and 12"on PC-486, respectively; each pixel is 0.31mm.

在证明了理想滤波器的不可实现性之后，得知通过选择适当的窗函数可获得很好的滤波函数，经过两个实际滤波器的效果对比，我们选取了较好的"巴拿马帽"形滤波函数，同时也介绍了一个有效的提高重建质量的线性内插函数，概要地叙述了平行射束图象重建的计算机具体实现步骤后，对几个物体的模拟投影数据进行了重建：投影角为180°，每视角下有100个平行投影数据点，在386微机上重建尺寸为64×64，时间约为40秒；在486/33MHz微机上只用了12秒，图象的象点精度是0.31mm。

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现，分数维的维数D＝1.25对应最小的临界的电-声耦合常数(αo＝1.9)，D＝1.73对应最大的临界的介电常数比(ηc＝0.163)，当分数维的维数D≤1.145时，双极化子无论如何也不可能存在，在第四章中，我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能，不同于以前所有的方法，我们取声子的波函数与相对运动波函数有关的形式，而不是假定一个固定的关于相对运动坐标r的函数形式，得到相对运动波函数所满足的非线性的微分积分方程，我们数值求解这个微分积分方程得到系统基态能，而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

The utility function of the integrated model was divided into two stages, choice set and alternative choice. The specification of factor structure was used to capture the individual heterogeneity and marketing positioning of the alternatives in the second stage, and the effects of new modes on choice behavior and market structure were studied by hypothesizing coefficients' specifications in the joint estimation process.

整合性模式的效用函数区分为选择集合及方案选择两阶段，而於方案选择效用函数中以因素结构的指定方式，考量个体偏好的异质性与方案的市场定位，并藉由联合估计过程中的系数假设，分析新运具对於旅运选择行为及市场结构的影响。

In her eyes, because that is the doorway toher heart * the place where love resides.

女人的漂亮必須從她的眼睛中去看，因為那是她心靈的窗戶和愛居住的地方

I will send some postcards to you.

我会向你发送一些明信片。