抽象数学

Abstraction degree; abstraction relation degree; semi-kernel; absolute geometry

基础科学，数学，数学概论抽象度；抽象关系度；半核；绝对几何

This comprehensive text links abstract mathematics to engineering applications in order to provide a clear and thorough exploration of fluid dynamics.

这一全面的文本链接抽象数学的工程应用，以提供一个明确和流体动力学，深入探索。

The modern physics development by to the concrete material embodiment inspection, moved towards to the abstract material abstract research, namely from specially moves towards general, its utilizes the mathematical instrument is also same, moves towards mathematics from physical mathematics physics, already developed the abstract algebra and the general analysis situs, from bad on the one hand said, the physicist because of lost the concrete material object to change confusedly, was at a loss how to proceed, from was good on the one hand says, the research technique from specially moved towards general, also caused its thinking mode to have the return, tended to the philosophy, this speaking of the physics, was one kind of significant crisis, but at the same time, Also is a brand-new development turning point.

现代物理学的发展已由对具体物质的具象考察，走向对抽象物质的抽象研究，即从特殊走向一般，其所运用的数学工具也一样，从物理的数学走向数学的物理，已经发展到抽象代数和一般拓扑学，从坏的一方面讲，物理学家因失去了具体的物质对象而变得迷茫，无所适从，从好的一方面讲，研究方法的从特殊走向一般，也使其思维方式发生了回归，趋向于哲学，这对物理学而言，是一种重大危机，但与此同时，也是一个全新的发展契机。

It is the aim of this book to present various basic and important results of vector optimization in an abstract mathematical setting and to demonstrate its usefulness in vector approximation and cooperative differential game theory.

本书的目的是在抽象数学柜架下给出向量优化的各种基本和重要结果并阐述它们在向量逼近和合作微分对策理论中的应用。

Bstract mathematical knowledge: Mathematics as a body of knowledge that may be experienced as experientially real.

： 抽象数学知识：一个可以作为经验性真实世界来体验的的数学知识体。

To reason with mathematical symbol language advances the innovative thinking.

通过数学符号语言展开联想，有利于数学形象思维的发展；正确运用数学符号语言，有利于数学抽象思维的发展；熟练运用数学符号语言推理，有利于数学创新思维的发展。

The number shape is hit by mentality in common use combining with being that the mathematics solves problems , shape is can make some abstract mathematics problems perception-rization , pictorialize , vivid-rization in the thought being tied in wedlock , is able to change an abstratc thinking into the thinking in images , is helpful to the nature grasping the mathematics problem.

数形结合是数学解题中常用的思想方法，数形结合的思想可以使某些抽象的数学问题直观化、形象化、生动化，能够变抽象思维为形象思维，有助于把握数学问题的本质。

They very have also suggested that the very concept of abstract numbers - the idea of a oneness, a twoness, a threeness that applies to any class of objects and is a prerequisite for doing anything more mathematically demanding than setting a table - is itself far from innate.

他们还表示抽象的数字概念，他们还表示抽象的数字概念，如可表示任何一类物品并且是在做比摆桌子有更高数学要求的任何事时都必备的一，更高数学要求的任何事时都必备的一，三意识，远远不是天生就具备的。

They very have also suggested that the very concept of abstract numbers - the idea of a oneness, a twoness, a threeness that applies to any class of objects and is a prerequisite for doing anything more mathematically demanding than setting a table - is itself far from innate.

他们还表示抽象的数字概念，如可表示任何一类物品并且是他们还表示抽象的数字概念，桌子有更高数学要求的任何事时都必备的一，在做比摆桌子有更高数学要求的任何事时都必备的一，二，三意识，远远不是天生就具备的。

The purpose of this study was to investigate the effects of PCDC instruction on an eighth-grade underachievement class.

传统教学之下，国中低学习成就学生的数学学习常常没有发生，因为数学概念抽象，抽象的概念愈讲愈抽象，这些学生常常听不懂，学不来而放弃学习。

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。