应用数学

This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology.

代数几何学是数学中的重要分支之一，编码理论则是起源于工程技术的应用数学分支，本书是研究这两个分支的完美结合――代数几何码的一本专著。

Wavelet analysis is the applied mathematics theory which is developed in the middle of 1980's.

小波分析是八十年代中期发展起来的应用数学理论，具有理论上的完美性和应用上的广泛性，在众多学科领域取得了重要的应用。

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。

Students who major in mathematics and applied mathematics should be provided with the knowledge and capacity in this respect.

主要内容：随着计算机的迅速发展和广泛应，在众多的领域内，人们越来越来认识到科学计算是科学研究的重要方法，数学与应用数学专业的学生，应具备这方面的知识和能力。

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics.

在互补性理论，这是一个相对较新的应用数学领域，数学模型和有关问题的平衡研究几种被认为从物理学的角度和经济的。

Then it quotes a sufficient condition, the necessary conditions and necessary and sufficient conditions for integration, including the application of mathematical analysis, Real Variable Function-related content which is useful to sum up the necessary and sufficient conditions of the integrability.

然后引述了积分的充分条件、必要条件及充分必要条件，包括应用数学分析、实变函数相关内容总结的可积的充要条件，并作了翔实扼要的论述和证明，且给出针对性极强的应用例题，以便加深对可积条件的理解及加强应用能力。

Laplace transform has broad application of space, Laplace transform the complex function addressed in practical applications are very important, LaPlace integral transformation in pure mathematics and applied mathematics are in a powerful tool.

拉普拉斯变换有着广阔的应用空间，拉普拉斯变换在复变函数论及实际应用中都很重要，拉普拉斯积分变换在纯数学以及应用数学中都是一个有力的工具。

Based on optimal control theory, an optimal trajectory method is proposed for analyzing the evolutionary algorithm in this paper.

20世纪90年代以来，演化计算在算法设计、理论基础和应用研究等方面均取得了许多进展，已成为信息科学、计算机科学、运筹学和应用数学等诸多学科所共同关注的热点研究领域[1-3]，其应用已在科学研究、工程优化设计、社会与经济系统的分析预测等众多领域广泛展开·因而演化计算的

However, the mathematical study of the geology of this area is still lacking. On the basis of geological field survey, we have made systematic sampling and geochemical analyses of the rocks, and systematically studied the relationship between the Cu-Ni variable and the rock-forming element variables by the method of multi-variate...

文中在系统的野外地质调查基础上，进行了系统采样和岩石地球化学分析，应用多元线性回归和逐步回归分析相结合的方法，借助SPSS数学统计软件系统的研究Cu-Ni变量与造岩元素变量的关系，建立Cu-Ni变量与其他变量的回归方程，验证与解释白石泉Cu-Ni硫化物矿床的成因、岩浆来源等问题，对指导找矿勘探有重要作用，对应用数学地质方法有指引作用。

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。