查询词典 mathematical model

Then, theoretically, mathematical morphology is stretched from complete lattices to complete semi-lattices and the adjunction of complete semi-lattices is studied. Some qualities of mathematical morphology on complete semi-lattices are discussed and supported. Two examples of difference semi-lattice and reference semi-lattices are also supplied.

然后在理论上，把数学形态学从完备格延伸到完备半格，研究了完备半格上的伴随，讨论并证明了完备半格上数学形态学的一些性质，列出了差分半格和参考半格两个例子。

Archimedean mathematical thought gives us the inspiration: the ingenious physical deduction is the important method of the scientific discovery; the strict mathematical deduction is the necessary step to confirm the result; the several basic principles to be selected act as foundation of deduction; devote oneself to the scientific truth and do not seek secular profit.

由Archimedes的数学思想得到的启示是：巧妙的物理论证是科学发现的重要方法；严格的数学论证是确立结论的必需步骤；要精选若干基本原理，作为论证的基础；要献身科学真理，不为俗世需求所动摇。

For the images of VSMCs cultured on the silicon membrane stretched by pulsatile flow, one method with eight steps based on difference arithmetic operators is proposed. Image enhancing, image graying, halation removing, Canny edge detection, mathematical morphology dilation, edge smoothing, mathematical morphological reconstruction are implemented according to the set sequence.

本文针对膜式张应力装置中体外培养血管平滑肌细胞图像，深入分析了该细胞力学实验中细胞图像的特点，提出了基于微分边缘检测算子的图像分割技术路线，依次为图像增强、灰度化、消除光晕、Canny边缘检测、数学形态学膨胀、区域填充、平滑边缘、形态学重建。

On putting forward a research method of the history of mathematical economics by synthesizing the intrinsic and extrinsic historical factors, the author examines some problems in the early development of mathematical economics in the light of arithmetization of analysis.

提出研究数理经济学史内、外史结合的一种方法，并用该方法以 1 9世纪分析算术化为背景，考察了数理经济学早期发展的若干问题，指出数学基础问题是 1 870年前在经济学中应用数学方法的主要障碍，以分析算术化为代表的数学基础重建则是此后数理经济学迅猛兴起的重要条件。

By putting forward a research method on the history of mathematical economics through the synthesis of the intrinsic and extrinsic historical factors , the author examines some issues in the early devel-opment of mathematical economics in the light of arithmetization of analysis.

提出研究数理经济学史的内、外史相结合的方法，并以十九世纪分析算术化为背景，用该方法探讨了数理经济学早期发展的若干问题，指出数学基础尚未完善的问题是1870年前在经济研究中应用数学方法的主要障碍，而以分析算术化为代表的数学基础重建则是此后数理经济学迅猛兴起的重要原因。

Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

His main contribution is the first in mathematical logic, his departure from mathematical logic, the logic of established Atomism and a new realism, he became the founder of modern philosophy of one.

他的主要贡献首先是在数理逻辑方面，他由数理逻辑出发，建立起来的逻辑原子论和新实在论，使他成为现代分析哲学的创始人之一。

The first elucidates the meaning and content of the research of mathematical culture, which can be depicted as a powerful dynamic system, the core of which is the mathematics science, and parts are composed of correlated cultural fields which are interfered by mathematical idea, spirit, method, technology and theory such as.

数学文化可以表述为以数学科学为核心，以数学的思想、精神、方法、技术、理论等所辐射的相关文化领域为有机组成部分的一个具有强大功能的动态系统。数学文化涉及的基本领域包括哲学、艺术、历史、经济、教育、思维科学、政治及各门自然科学。

To define that the mathematical methods and mathematical cerebration are permeated and confined with each other, and there's always no difference between them.

本文共分五章，每章主要内容如下：第一章介绍了数学方法、数学思想的含义及二者之间的关系，明确了数学方法与数学思想之间是互相渗透、互相制约的。

For this reason, I gathered, analyzed and summed the conduct of the students in solving mathematical problems in my teaching. At the same time I also studied the reflection of the mathematical cerebration in their teaching.

尤其在当今教育教学改革的大潮中，把数学思想方法的渗透作为改革重点之一，已是摆在我们面前及待解决的课题。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！