查询词典 mathematical models

The discrete mathematical models of the roundness and cylindricity EST are established; the mathematical models of the generating line straightness, axis straightness, coaxality, circular run—out and total run—out error of the revolution workpiece are put forward and established first based on the EST; the method about how to sample and to process sampling data are given when these models are applied to measure workpleces.

其主要内容是：针对长期以来国内对回转误差运动的有关定义的争论，对回转误差运动的本质进行了讨论，进一步明确了静心与静轴，动心与动轴的概念，并对此进行了数学推导，给出了相应的数学模型；统一了&平动说&和&瞬心说&关于回转轴线的定义，指出了两种学说各自的力学基础和它们的一致性。

The mathematical models of the delay of the GPS signal in the circumstance are put forward respectively. The computation of orbital arc of the two satellite constellations is based on two body problem and perturbations models. An algorithm based on the IRI model and thin layer model is used to simulate the ionospheric delay of the GPS signal. The error models of observation, multipath, relativity and antenna phase center bias are also researched. Under the consideration of the autocorrelation of the electronical measurements, the autoregressive model of time series is introduced into the noise models.

在信号仿真中，研究了利用二体运动和摄动法计算LEO卫星至GPS卫星星座的几何距离的问题；在信号的误差模型中，研究了电离层时延的IRI2001模型和单层投影模型；讨论了观测误差、多径效应、相对论效应和天线相位中心偏移的误差模型；结合电子测量噪声的具有自相关特性的经验，研究了观测误差的AR模型；结合实测数据分析，讨论了接收机钟差和卫星钟差的误差建模问题。

Modeling is one of the main methods used to research our world. Different kinds of models can be settled to solve different problems, such as physical models, mathematical models, figural models etc.

建模是人类认识世界和改造世界的主要方法之一，常用的数学模型有物理模型，数学模型，图示模型等等。

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。

Because the mathematical linguistics are one kind by the mathematical symbol, mathematics terminology and the scientific language which is composed after the improvement natural language, therefore in mathematics teaching, the teacher not suitable direct use mathematical linguistics achievement teaches the language generally, but must act according to student's knowledge foundation and the psychological feature, transforms the mathematical linguistics as easily the language which is accepted by the student.

由于数学语言是一种由数学符号、数学术语和经过改进的自然语言组成的科学语言，因此在数学教学中，教师一般不宜直接使用数学语言作为讲授语言，而必须根据学生的知识基础和心理特征，将数学语言转化为容易被学生所接受的语言。

Psychology}, the paper defines intuition as a cognitive ability to make immediate judgement without analyzing or reasoning and further analyzes the relation and difference between intuition, inspiration, insight, imagination and perceptual intuition, pointing out that mathematical intuitive thinking is a swift judgement on and imagination to the objects of mathematics and their relationship in structure which is featured by illogicality, directness, probability, randomness and unity and aids students in predicting conclusion or direction to solution as well as making definite choice between several options, Furthermore, the paper probes into the foundation of mathematical intuitive thinking in terms of psychological mechanism, and thereupon holds it necessary to develop students mathematical intuition in that it does good to the excitement of creativity, improvement of overall qualities, all- brain development and optimization of mathematical thinking among students.

而数学直觉思维就是人脑对数学对象及其结构关系的一种迅速的判断与敏锐的想象，并探讨了数学直觉思维的生理机理基础，总结其特征有非逻辑性、直接性、或然性、随机性、整体性和综合性。在解题时直觉能帮助学生对结论或解题方向做出预见，也可以在推理面临多种可能性时，帮助学生做出果断的选择。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

The major findings were as follows:(1) There were significant interactions between Feedback and Goal-setting in both students' mathematical performance and test anxiety;(2) No significant differences were found in mathematical performance and test anxiety between the student self-set goal condition and the teacher-assigned goal condition when feedback was presented;(3) There were significant differences in students' mathematical performace between correct-predicting students' and incorrect-predicting students, but no difference was found in students' test anxiety between the two groups of students;(4) High-estimating students and low estimating students showed significant differences in mathematical performance, but no difference in test anxiety.

在有回馈的情形下，学生自订目标与敎师指定目标间，其学生在数学作业表现或是在数学测试焦虑分数上均无显著差异存在。3。学生自订目标中，预测正确组与预测不正确组学生在数学作业表现上有差异存在，在数学测试焦虑分数上无差异存在。4。学生自订目标中，高估组与低估组学生在数学作业表现上有差异存在，在数学测试焦虑分数上无差异存在。

Going at the teaching of mathematical thought and method during high school is an important means by which the school in the 21th century cultivate the person with innovative spirit and practical bility.Moreover going in for the teaching study of the mathematical thought and method in high school can make ours absorb well the international and national mathematical thought and methodology knowledge,and improve the cognition to the importance of the teaching about mathematical thought and method,so that they are able to practise consciously and selfconsciously the teaching .

中学阶段进行数学思想方法的教学是21世纪学校培养具有创新精神与实践能力的人才的重要手段，而进行中学数学思想方法的教学研究更能使我们中学数学教师充分吸收国内外数学思想方法论知识，提高对数学思想方法教学重要性的认识，从而能够有意识、自觉地实践数学思想方法教学。

Results:(1) Progesterone-treated models showed intact nasal mucosa, regular ciliary lining and inactive glands;(2) Untreated or normal saline treated models showed disrupted mucosa, inverted cilia and massive mucosal infiltration of neutrophils;(3) Smearing of nasal discharge revealed limited vs abundant number of neutrophils in SD models treated with progesterone vs untreated or treated with normal saline.(4) Hoechst stain: significantly fewer apoptotic cells per field were found in progesterone-treated models (1.583 ± 0.28) compared with untreated or normal saline treated models (2.85 ± 0.285 and 4.8 ± 0.715, respectively).

结果：(1)用黄体酮滴鼻液治疗的SD大鼠鼻腔黏膜上皮完整，纤毛整齐，腺体开放不多；(2)用或不用生理盐水滴鼻液治疗的SD大鼠鼻腔黏膜上皮纤毛倒伏，上皮结构散乱，上皮层大量中性粒细胞浸润；(3)鼻腔分泌物涂片示黄体酮滴鼻液治疗的SD大鼠有少许中性粒细胞，而用或不用生理盐水滴鼻液治疗的SD大鼠鼻腔分泌物含有大量中性粒细胞；(4)Hoechst染色：用黄体酮滴鼻液治疗的SD大鼠鼻腔黏膜上皮凋亡细胞数［(1.583±0.28)/视野］明显少于用或不用生理盐水滴鼻液治疗的SD大鼠［分别是(2.85±0.285)/视野和(4.8±0.715)/视野］。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。