数学

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。

Mathematics mechanization; Symbolic computation; Exact solution; Auxiliary equation method; Soliton

基础科学，数学，数学分析数学机械化；符号计算；精确解；辅助方程法；孤立子

Mathematics;;; Axiomatic Method;;; Legal Culture

数学方法、数学观念、数学精神都对法律文化产生过重要影响。

Constructionalism Study Theory offers theoretical fundaments for the math education revolution, because that the modern math building itself is built on the basis of modern math fundaments of which the convergence axiomatic system is the representative.

建构主义学习理论为数学教育改革提供了理论基础，因为现代数学的大厦，本身就是在以集合论公理体系为代表的现代数学基础上建构起来的。

Considering complicated conditions of the coastal dynamic environment, sediment dynamics, and together with the immature sediment itself, the predicted results will be somewhat limited if only with numerical model. So, in order to obtain microcosmic quantitative assessment and macroscopically understanding, numerical model is combined with field observations in the thesis. Firstly, the tidal current, SSC distribution, benthal deposited materials were basically analyzed by field observations. Then, the tidal current, SSC distribution, and the erosion and accumulation of the seabed were simulated with the numerical model of ECOMSED.

但由于海岸动力环境多变，泥沙运动复杂，加之泥沙问题本身的复杂性，如仅用数学模型，其预测结果将受到一定的限制，故本文采用实测调查与数学模型计算相结合的方法，宏观把握，微观量化，在掌握岚山港西突堤工程所在海域潮流、悬沙量分布、表层底质沉积物类型及特点基本态势的基础上，紧扣开发工程可能引起潮流场变化，分析工程后悬沙量、海底冲淤变化及其空间分布，进而建立潮流作用下的泥沙输运数学模型，首先比较好地模拟目前岚山港西突堤工程附近海域的潮流场和悬沙场，然后预测海湾沿岸可能引起的冲淤强度变化和冲淤区域的空间分布。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。

After achieving the solution of the mathematical model,a binomial productivity equation of gas-water well with two-phase flow in formation was derived in consideration of the influence of formation damage and non-Darcy effect,thus establishing the theory of transient inflow performance relationship curve of gas-water well.

文章基于质量守恒原理，建立了气水两相地层瞬态渗流的数学模型，通过定义气水两相拟压力函数，将渗流数学模型线性化，在获得数学模型解后，考虑地层损害和非达西效应的影响，推导出在地层中为水气两相渗流的气水同产井的二项式产能方程，从而建立了气水同产井瞬态流入动态关系曲线的理论。

At Wisconsin's Marquette University, a biomathematics group has existed within the math department for more than 30 years, making it one of the oldest such groups in the country.

威斯康辛州马奎特大学一个生物数学研究团队在数学系里从事研究已超过三十年，是美国历史最悠久的生物数学研究团队之一。

Composite function is one of the important objects of mathematical analysis research,and some of it's analysis natures such as monotony, boundedness, limit,continuity, derivability,integrability are important content in the mathematical analysis,they are also important tool to study other objects in mathematics.

复合函数是数学分析研究的重要对象之一，它的一些分析性质（如单调性，有界性，极限，连续性，可导，可积性）是数学分析中的重要内容，也是研究数学中其它对象的重要工具。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。