查询词典 mathematical models

Therefore, alogical generalization of limit cycle in stochastic models needs to be developed, andinterestingly, the concept of circulation in the mathematical theory of nonequilibriumsteady states [91] actually plays the role.

因此，需要研究随机模型中对应于确定性模型极限环概念的合理推广；而在关于开系统非平衡定态的数学理论[91]中，环流恰好可以扮演这样一个角色。

To resolve thismodel,one approximate liner first derivative equation is used.An simple caculatemodel is setted up for caculating the motive adjust,and a mathematical equation incaculating the range of pressure motion in the system.Experiment data showe thatthese models have high accurecy.

在此基础上，对分析模型采用一阶微分近似线性化处理，建立了计算动态调节过程的简化计算模型，并以此建立了计算系统压力动态变幅的计算式，试验表明简化模型具有较高的精度。

Asymptotic behavior of mathematical ecological models is an important conception with rich connotation,which mainly includes attractability of the solutions,stability,periodicity and oscillation and so on.

数学生态模型解的渐近行为是一个具有丰富内涵的重要概念，其主要包括解的吸引性、稳定性、振动性与周期性等内容。

The author points out: if lots of the conflicts of philosophical foundation the 20th century's quantum mechanics faced with, well-known to everybody, should be logically attributed to the confusions of the some fundamental concepts in the classical electromagnetic field theory, the series of logic inconsistencies implied in the classical electromagnetic theory and the forms of difficulties the modern computational electromagnetism encounters while solving time-varying electromagnetic field should be also logically attributed to an anomalous fact that series of fundamental mathematical propositions relating with bispinor differential operator, which naturally appears in the formal expression about dynamic electromagnetic field, have not be solved really while the related complete mathematic physical models or well posed boundary value problems have not been built.

著者指出：如果说20世纪的量子力学之所以面对哲学基础众所周知的矛盾，在逻辑上最终不能不归咎于经典电磁场理论体系的一些基本概念并没有真正得到澄清的话，那么，经典电磁场理论体系隐含的众多逻辑不自洽问题与目前计算动态电磁场所面对的困境，则必须逻辑地归咎于与双旋度微分算子相关的一系列基本数学命题并没有解决，而相关的恰当数学物理模型至今没有真正建立起来的缘故。

Tire turn slip models in non steady state NSS conditions were given according to mathematical relations of transfer functions with different lateral inputs and the NSS tire cornering models based on the carcass string theory .

根据基于"弦"胎体理论的轮胎非稳态侧偏模型和不同侧向输入时传递函数间的相互关系，得出轮胎非稳态转偏模型。

By simulating the flows over a series of submarine models, which are created by our mathematical method through changing the parameters of hull form, the viscous resistances of these submarine models can be predicted, so"submarine viscous resistance numerical test tank"can be founded.

运用我们提出的实用艇型自动生成程序，变化相关的艇型参数，建立系列艇型，通过数值计算，得到这些艇型的水下阻力系数，初步建立了"潜艇水下阻力数值试验水池"。

During the study, in order to decrease the complexity, the article simplifies the geomorphic process, defines the ideal state, and, according to the geomorphic principle, reasons out some of the 4-Dimensional Geomorphic Mathematical Sub-Models that include the 4-Dimensional Tectonic Geomorphic Mathematical Model, the 4-Dimensional Depositional Geomorphic Mathematical Model, and the 4-Dimensional Denudate Geomorphic Mathematical Model.

在研究过程中，为了减低复杂程度，简化了地貌过程，规定了理想条件，并根据地貌学原理推导了部分理想条件下的四维地貌数学模型，分别是四维构造地貌数学模型、四维沉积地貌数学模型和四维剥蚀地貌数学模型。

A integrated mathematical model was established in accordance with the process of metallurgical production and it was composed of the process models and the raw materials distribution models. The process models include the sintering process model, the pelleting process model and the iron making process model.

数学模型分为6个子模型，其中工艺模型有烧结机优化模型、竖炉优化模型、高炉优化模型，物料配置模型有铁精粉优化配置模型，烧结矿优化配置模型和球团矿优化配置模型，模型之间交互的数据流为原料或产品的物料流量、物料性能、价格及原料性能的影子价格。

The interference, which has much to do with shimmy and handling characteristic and directional stability of vehicle, between the suspended structure, the front axle and steering system is described accurately In the models, the concrete component parameters or the design parameters are adopted to make it easy that the models are directly used in optimization design of real products. In order to make mathematical simulation and optimum analysis accurately with a particular vehicle and to study the influence of tyre characteristics on the lateral dynamic performance of vehicle, not only are the whole structure parameters in the models measured, but also is the test of the tyre cornering characteristics done, the accurate parameters of the tyre cornering characteristics are obtained and the practical tyre models of both steady state and dynamic state are selected.

为了提高仿真计算与优化分析的精度，和进一步分析有关轮胎特性对汽车横向动力学特性的影响，除了测量了模型中的全部结构参数外，特别做了轮胎侧偏特性试验，获得了比较准确的轮胎特性参数，并选用了比较实用的轮胎动态和稳态侧偏特性模型。

Main points of the thesis are as follows:(1) The main function models and information relations between these models in the CAPP system in the integrated CAD/CAM project are explained, a new process plan design method is mentioned based on analyses of process plan design. This method is based on the process plan prototype, and develops the prototype little by little until the perfect process plan is completed, the prospect of this method is discussed;(2) The feature abstracting rules and methods are studied, a feature coding system is developed based on GT, all the defined feature models are described by the mathematical methods;(3) The integrated method of CAD/CAPP based on features is mentioned, this method defines a feature exchanging model, and develops an interface software to exchange design data into technology data base, this technology data base includes the design and technology information of the parts;(4) The process plan reasoning method based on features is created, this method uses Mycin algorithm to solve the reasoning of the feature process plan. A process plan making system is developed. In this system part process plan is made by the semi-intelligent method, this method uses the feature reasoning, feature process chain searching and man-computer talking together;(5) The main structure of the HOPE system is introduced, a shaft drawing and its process plan made by this system are shown, the data process problem in process drawing making is also discussed;(6) A new method of describing process rule is introduced, this method uses IfThen rules and neural nets weight values together to describe process rules, the BP algorithm is adopted in this method;(7) The optimal machining sequence problem of the process steps on the same fixturing is discussed, optimal algorithms SA is applied to solve this problem, the result shows that this method is more efficient than the traditional method;(8) All jobs in the thesis are summarized. In order to carry out the research in the future, some rational proposals are given.

全文论述的内容主要有下列几个方面：(1)较为系统地阐述了CAD／CAM一体化工程项目中CAPP系统的主要功能模块及其信息流程，在分析工艺设计过程的基础上，提出了基于特征原型的渐进式工艺设计方法，并探讨了该方法的应用前景；(2)研究了零件特征提取的原则和方法，在成组技术的基础上，开发了一套基于特征的分类编码系统，并在提取零件特征的基础上，定义了零件特征的数据模型，开发了基于轴类零件特征的参数化设计系统；(3)研究了基于特征的CAD／CAPP集成的方法，通过定义零件特征数据模型的存储结构，开发了将设计数据转换到工艺数据库中的接口程序，为后续的CAPP系统提供必要的零件形状和工艺信息；(4)研究了基于特征的工艺推理方法，将Mycin算法应用到工艺决策中，开发了基于特征的工艺推理及工艺方案生成系统，在系统中综合运用特征推理、特征加工工艺链查询及人机对话相结合的半智能化方法确定零件加工工艺；(5)介绍了整个HOPE系统的总体结构，通过运行HOPE系统绘出了一轴类零件的零件图，并生成了该零件的加工工艺方案，初步探讨了基于特征的工序图生成技术中数据处理问题；(6)研究了工艺设计过程中知识如何有效表示的问题，提出了将显式的IF-THEN规则表示与隐式神经网络权值表示相结合的工艺知识表示方法，并利用BP算法进行了工艺知识表示的初步研究；(7)研究了工艺设计过程中同一安装下工步优化排序问题，利用神经网络中基于模拟退火的理论来解决该工步优化排序问题，实践证明该方法较传统的算法具有更高的效率；(8)总结了本文所进行的研究工作，为今后进一步开展工作提出了较为合理的建议。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。