查询词典 axioms of order

Based on Fermat's theorem, the law of reflection and refraction is obtained, and the geometrical ray tracing method of reflected light is introduced. In response to geometric optics rainbow theory and Airy rainbow theory, the relationship formula of the N-order rainbow angle with the refraction index and the Airy peak value position formula are derived, and the physics causation of the first order rainbow are discussed and analyzed in detail. The distribution properties of the first and second order Airy structures of spherical particles are calculated.

利用费马原理推导了反射和折射定律，以反射射线的跟踪为例介绍了几何光学射线跟踪方法的推导过程；根据几何光学彩虹理论和Airy理论，推导了N阶几何光学彩虹角与入射角和折射率的关系及Airy峰的位置表达式，详细阐述了一阶彩虹形成的物理原因，计算了球形粒子的一、二阶Airy分布。

For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

If the order confirmation, the system will be transfer the message to the data warehouse management systems. The warehouse system will automatically according to the order form to complete the order process.

如果订单确认，系统会把相应的信息传递到仓库的数据管理系统，仓库的电脑控制系统就会自动按订单完成取货。

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题，作为可分函数的推广，第五章引入了一致同阶集值函数类，在没有凸性条件的假设下，对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理；利用H-KKM映射，对一般向量均衡问题建立了(来源：A73BcbC论文网www.abclunwen.com)几个存在性定理；最后讨论了集值向量均衡问题系统，利用集值映射的拟凸性，在较弱的条件下证明了解的存在性。

In this dissertation we use adjointoperator method to compute normal forms of order 2,order 3 and order 4 for nonlineardynamical system with nilpotent linear part and Z2—asymmetry.

2当研究平均系统的非零解的高余维退化分岔时，需要利用不具有Z2—对称性的非线性动力系统的高阶规范形。

Under the heterogeneously exponential setup,we obtain the equivalent characterization in terms of parameters for the stochastic order between the sample range from nonidentical independent exponential observations and that from i.i.d,exponential ones;also,we derive the characterization for the likelihood ratio order between the second order statistics from heterogeneous exponential random variables.

在这种设置下，样本极差X_-X_(1，n)和Y_-Y_(1，n)之间的通常随机序可以用其参数的不等式来等价刻画。另外，我们也建立了第二顺序统计量X_(2，n)和Y_(2，n)之间的似然比序的等价刻画。

First, based on the mathematics model of comprehensive decision at present, the concept of evaluation function is introduced. Based on the thinking stability of decision-maker, the essential meaning of comprehensive decision model is discussed, therefore, and a new improved approach on the comprehensive decision model is put forward. Second, the mathematics model of interval number comprehensive decision is systematically discussed, and the ranking method of interval number based on the decision-maker's attitude is provided. Finally, the concept of valuation order relation is introduced, the valuation order relation of interval number and fuzzy number are systematically discussed in detail, it provides a new method to research the order relations of interval number and fuzzy number, therefore, these achievements can be applied in the intelligent system.

首先，针对常用的综合决策模型，给出了评判函数的概念，讨论了综合决策模型的本质意义，指出决策者的思维应具有稳定性，从而给出了综合决策模型的一种改进方法；第二，在此基础上，给出了区间数的综合决策模型，并详细讨论了基于决策者的决策心态的区间数的排序方法；第三，引入了赋值序关系的概念，详细讨论了区间数和模糊数的赋值序关系，为区间数和模糊数的序关系研究提供了新的思路与方法，这些均有望在智能系统中得到广泛的应用。

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要：在本项目中，重点研究了几种类型的微分方程解的增长性，及无穷级解的超级，零点收敛指数，不动点收敛指数，特别是解的一阶，二阶导数及微分多项式的不动点收敛指数。

By the Client, character of an Order or if such order of Order's execution is

X-Trade Brokers 按照接收客户订单的顺序执行订单，除非订单的属性和条件有

And QUANTITY to us by email, when we received your information and confirm your order after and we will statistic your order amount for order price and notify to you pay the money , we will ship the goods to you when we have received your payment.

和数量，给我们的电子邮件，当我们收到您的信息，并确认您的订单后，我们将统计您的订单金额，订单，价格，并通知给你付的钱，我们将船上货物运到你的时候，我们已经收到您的付款。

Analog output can display output results.

可以模拟输出显示输出效果。

It implied that RAPD technique pro vided a new alternative for checking irradiation induced effects.

对扩增产物进行数据分析，结果表明RAPD技术能够检测出辐射后唐菖蒲基因组变异情况，可用于对唐菖蒲辐射后基因变异的分析。