数学基础

Moreover, multivariate splines are closely related with some topics in pure mathematics, such as, abstract algebraic, algebraic geometry and combinatorics.

另一方面，多元样条与基础数学的一些领域，如：抽象代数、代数几何、微分方程及组合数学等，亦有着密切关联。

A new accurate exterior trajectory model was studied based on the formertrajectory model considering eccentricity of acceleration of gravity etc.

本文在已有弹道数学模型的基础上，研究了地球为椭球体时重力偏心，全面考虑了重力偏心及以往在射程和弹道高不大时忽略的"小量"，建立了高空远程弹箭的较精确弹道数学模型。

It is a kind of algebraic structure which is associative and incommutable . Clifford analysis is a branch of mathematics arising in .

在实分析中积分理论是非常重要的，它不但是现代数学的理论基础，而且是数学应用的主要工具之一。

It is a kind of algebraic structure which is associative and incommutable . Clifford analysis is a branch of mathematics arising in 1970s .

在实分析中积分理论是非常重要的，它不但是现代数学的理论基础，而且是数学应用的主要工具之一。

The construction of the models is based on such theories as Theoretical Mechanic,Advanced Mathematics,Space Analytic Geometry,the Theory of Ship and Sea-keeping Theory.

在比较、分析国内外有关船舶波浪稳性的研究成果的基础上，运用理论力学、流体力学、高等数学、空间解析几何的基本原理和船舶原理、船舶耐波性、船舶抗沉性、势流理论的专业理论知识，提出了计算船舶波浪稳性的数学模型，并针对客滚船在波浪中的稳性变化进行了定量的计算和分析。

With the publication of the Dai Wei Ji Shi Ji, a translation of Loomis' textbook Elements of Analytical Geometry and of the Differential and Integral Calculus (1851), in 1859, the differential and integral calculus was introduced into China.

19世纪后期是中国数学由传统向近现代转化的一个重要时期，微积分是近代数学乃至大部分自然科学的最基础的理论，这个理论是从1859年出版的译著《代微积拾级》中介绍到中国来的。

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。

Caculation of principle error of involute profile processed by Archimedean hobbing cutter ;2. The equation of single hobbing cutter 's locomotion locus and the mathematical model of its instantaneous cutting area are established.

建立了单把滚刀旋切运动的轨迹方程和瞬时切削面积的数学模型，在此基础上对旋切面积的数学模型进行分析及简化，为旋切技术的实际应用提供了有力的依据。

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。

This paper first stated the hydrolysis law of organochlorosilane and the effect of various R/Si and ph/R on the properties of propolymer,there showed the mathematical calcu- lation method and computer progrom of the every monomer amount to synthetize propolymer, and provided the necessary theortical basis and quantitive calculation equation for the syn- thetise,In addition,the co-existing structure model of linear and trapezoid was put forward on the analysis of prepolymer micro-structure,which laid a found...

本文阐述了有机氯硅烷单体的水解规律及不同R/Si和ph/R值对预聚体性能的影响，在此基础上，提出了合成预聚体所需各单体用量的数学计算方法和计算机计算的程序，为合成提供了必要的理论依据和定量的计算公式。此外，文章在剖析预聚体微观结构的基础上，提出了线型与梯型结构并存的结构模型，为进一步更深入地认识预聚体的性能奠定了理论基础。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。