查询词典 mathematic

The process of shock mechanical energy flowing into the molecule of the en-ergetic material is expounded.According to the hyperbolic type thermal conduc-tion equation,the author modifies the mathematic model describing intramolecu-lar vibrational state pumping,which was presented by D.D.

论述了冲击机械能向含能材料分子内部流动的过程，结合双曲型的热传导方程修正了国外一些学者提出的分子内部振动态泵浦的数学模型，提出了一组与他们的方程不同的非线性偏微分方程，根据方程的试探解，用迭代方法，得到了数值解。

Mathematic proof of the hypertonicity for this model is given using two different cases. Furthermore, the Riemann invariants for the multi-class traffic flow LWR model are studied by using characteristic line method, and the physical interpret of the Riemann invariants are also pointed out. The information in transfer is obtained, that is, the total density and the relative density hold the same.

用两种方法给出了该模型在不同情形下双曲性的数学证明，运用特征线方法研究并计算了任意等级MCLWR交通流模型的Riemann不变量，得到了其传递的交通信息，给出了Riemann不变量物理意义的解释，即总密度保持不变和相对密度保持不变，最后又从形式上指出了在多等级车流并行时，MCLWR与LWR两种交通流模型实际上是等价的。

In order to improve these problems,a simple frequency-independent mathematic modeling method by using polar coordinate is developed in this paper,and then the developed model is compared with widely used PI hysterics model.

针对当期望输出与频率无关时的压电陶瓷的迟滞非线性问题，提出了一种基于极坐标的数学建模方法，同时给出了通用的PI迟滞模型，并对两种模型进行了比较。

So,the traditional review method is inapplicability for the review of the entrance examination of current mathematic course.

一、传统的数学复习方法在传统的初三数学复习课中，一般都是由教师对所复习的内容进行归纳，更多的是让学生做题，所采取的方式无非有以下两种：1。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

The mathematic model of optimization allocation of tolerance values is established. In the model, the objective function of the optimization is production cost-tolerance function, and the constraints of the optimization are equation and inequation in the fifth chapter.

以加工成本—公差函数为目标函数，以第五章的等式和不等式约束为约束条件，建立了公差大小最优分配的数学模型；基于遗传算法研究了形位公差大小的最优分配方法。

Current tuning is introduced, and the speed open-loop transfer function is established based on current closed-loop. A mathematical inequation about the speed open-loop transfer function is deduced, then the measured amplitude-frequency data is introduced in the inequation, thus the mathematic expressions about moment of inertia and mechanism time constant are obtained.

引入了电流校正环节，建立了基于电流闭环的速度开环传递函数，推导了关于该速度开环传递函数的数学不等式，再将实际测得的幅频特性代入此不等式中，得到了关于转动惯量和机械时间常数的数学表达式。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

This program uses the transformation from infix notation to postfix notation to evaluate most mathematic expressions.

这个项目演示了将中序表达式转换为后序表达式，以计算大多数数学表达式的值。

Function Evaluator - This program uses the transformation from infix notation to postfix notation to evaluate most mathematic expressions.

这个项目演示了将中序表达式转换为后序表达式，以计算大多数数学表达式的值。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。