抽象数学

The aptitude and career interest were considered as the two dimension of the entrance guide system, and was proof-tested by the structural equation model, which results supported this two-dimension hypothesis. Accordingly, there were two parts in the guide system. One part was about the aptitude test, consisted of seven subtests: verbal reasoning, spatial imagining, mathematic reasoning, computer capacity, abstract reasoning, physical knowledge, and sentence recomposing. The other part was about the career interest test, including eight aspects: career longing, curriculum desire, entertainment after school, activity preference, job preference, work environment preference, self-estimate of one\'s abilities, and discuss future with someone else. After three times modification and testing, the psychometric indices of the guide system were become well and stable. Furthermore, the guide system was primarily launched into applying, with four typical case studies, the practicability and serviceability of the guide system was showed swiftly.The entrance guide system for junior high school students that was developed in this research was one-upping in the entrance guide field in China.

第二阶段是初中生升学指导系统的研制阶段，以能力倾向与生涯兴趣这二元因素作为初中生升学指导系统的基本架构，经验证性因素分析表明该二元架构是合理并可接受的；其中能力倾向部分共包含语言推理、空间想象、数学推理、电脑能力、抽象推理、物理知识、语句重组等七个分测验，生涯兴趣部分则包含生涯梦想、课程兴趣、课余爱好、活动偏好、工作内容喜好、工作场所喜好、能力自评、与他人讨论未来等八个方面；通过三次修改与测试，结果显示所研制的初中生升学指导系统有着良好的测量学指标；此外，通过对初中生升学指导系统的初步应用研究，并结合典型个案的深入剖析，进一步表明所研制的初中生升学指导系统具有实用性、操作性强的特点，所得结果也可靠可信。

Calculate limits, derivatives, integrals of functions. Solve differential equations. Master the fundamental concepts of spatial analytic geometry such as line, plane, quadratic surfaces.

培养学生的数学素质，具体地讲，要使学生具有抽象思维能力、逻辑推理能力、空间想象能力、运算能力和综合运用所学知识分析问题和解决问题的能力。

Teachers are problem posers who orient their children toward constructing effective activity patterns that are computable with those traditional methods through phenomenological, psychological, sociological and anthropological problems. Teaching/learning environment are spontaneous constructions of children.

教学者是布题者，透过现象学的、心理学、塺会学的以及人类学的数学问题的提出，教师期望能促使儿童建构不仅有效，而且能与传统典范竞争效率的抽象解题运思。

These well-tended cells, located in a region associated with mathematical and language skills, might help explain the physicist's 'unusual conceptual powers,' she speculates.

那些提供养份的脑细胞位于管理数学和语言机能的区域，福尔克博士猜测说，这也许有助于解释为什么爱因斯坦具有&非同寻常的抽象思维能力&。

These things are mere abstractions.''That is all right,' said the Psychologist.

数学上所说的平面也是没有的，这些纯粹是抽象的东西。

This paper summarizes briefly the solving methods of some math- ematical problems of astronautical technics.①The singular equations of pressu...

这些由航天技术中抽象出来的理论性问题的研究、探索，往往对提出新型的设计思想或方案是有促进作用的；反过来又能丰富数学的内涵。

Op Art is a mathematically oriented form, usually abstract, which uses repetition of simple forms and colors to create vibrating effects, moiré patterns, an exaggerated sense of depth, foreground-background confusion, and other visual phenomena.

视幻艺术面向数学形式，通常很抽象，利用简单线条及颜色的重复来产生振动效果，纹理错位，夸大的深度感，前景-背景的交错，以及其它的视觉现象。

On the other hand, he did not accept as wellfounded the charge made by some of his critics that, while he was agood observer, he had no power of reasoning.

参考译文：达尔文同时声称，对于冗长而且纯抽象的思想，自己的理解能力并不强。因为这个原因，他相信自己在数学方面根本不会成功。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。