数学图形表象教学缺乏实证研究支持；
There is no sufficient practical research to support math graphic representation teaching;
在教科书中，图形作为学科语言的一部分使用，如数学或经济学中，或作为学习辅助工具使用。
Graphics are used in textbooks as part of the language of the discipline, as in math or economics, or as study aids.
而这种语言使用数学语言写就的，它的字母就是三角，圆和其他几何图形，没有了这一切，意味着不可能读懂一个简单的词汇。
It is written in mathematical language and the letters are triangles, circles and other geometrical figures, without which means.
按照数学家们的分类，三叶形是最简单的纽结。 所谓纽结，它是三维空间中不与自己相交的封闭曲线，或者说是三维空间中与圆周同胚的图形。
The trefoil is the simplest knot in mathematicians' classification.
数学家们需要列出三位空间中所有可能的图形方案。
It challenges mathematicians to list the possible shapes into which three-dimensional space can be wrapped up.
上课时，他能深入洞察各种数学概念和图形。
While teaching he could penetrate deep into the concepts and patterns of math.
数学家和科学家称它们为图形曲线，尽管是直线。
正弦波，或正弦曲线，是数学函数的图形。
Sine waves, or sinusoids, are graphs of mathematical functions.
在计算数学关于函数结构理论的基础上，本文讨论了软件进程计算结构图形表示算法。
On the basis of computational mathematics on function structure theory, this article discusses the algorithm of software process computing structure graphical representation.
数学的美可以转换成图形的美，换言之，美的图形也可以通过数学规律来构建。
Mathematics aesthetics can be converted into graphic aesthetics, in other words, the aesthetic graphics can be construct by mathematical laws.
讨论了飞机的飞行轨迹和速度特征及其雷达测量，给出了飞行航迹的数学表示和图形编辑方法。
Plane's track and velocity feature together with their radar measure are discussed. Track mathematic description and graphic edit method are also given.
一天，古希腊著名的数学家、力学家阿基米德正蹲着专心致志地研究画在地上的几何图形。
One day, the famous ancient Greek mathematician Archimedes are being squatting dedicated mechanics to study the paintings on the ground geometry.
相对纯粹的图形图像处理和数学计算则开发相应算法和模型。
Developing arithmetic and model for graphic and image processing and mathematical computation.
该文通过一个图形着色问题作为教学主题，提出一种比较容易实现的高职数学建模的教学设计理念。
Taking an issue in graph coloring as a teaching subject, the paper puts forward a feasible concept in the design of HVE mathematical modeling teaching.
本论文主要研究了挤压型腔的数学建模、几何建模、图形交互数控自动编程以及数控加工仿真等方面内容。
In this article, I do some work of mathematic model, geometric model, automatic NC programmed by figures interactive processing and NC process simulation.
数学模型系以对图解法几何图形的解算为依据，并以逐步逼近计算法求解。
The mathematical model is based on the calculation of geometrical figures by graphic method and the solution is obtained by successive approximation.
非可视化软件的应运而生，使图形、图像制作具有了很好的数学建模平台。
A non-visualization of software appearing at this moment enabled the graphics and image design to have a very good mathematics modeling platform.
它的模型已经由数学模型扩展到包括数据处理模型、图形模型、知识模型等的广义模型。
Its models have developed from mathematical models to generalized ones that include data processing model, graphic models, knowledge model etc.
提出了灌水率图形调整的数学模型。
A mathematical model for irrigation rate graph adjustment is proposed in this paper.
利用方向边缘检测、方向数学形态学方法和拟态流水侵蚀法得到了较好的完整图形闭合外边界。
By using this method consisting of directional edge detection, directional mathematical morphological method and mimesis watering corrosion method, a better close outside boundary was obtained.
从数学的角度论证了与效用最大化相对应的消费方案的存在唯一性以及求解方法，并通过图形对其进行了解释。
This paper discusses the existence and uniqueness of consumption plan to attain the utility maximization and solution of them by mathematic viewpoint.
本文将从图形设计与数学美的角度进行一些初步的探索，力图得出一些新的图形设计观点。
This article will do some preliminary exploration from the view of graphic design and mathematics Aesthetics, in a bid to draw some new graphic design perspective.
建立了基于特征的元件图形库，编制了液压系统原理图编辑器，提出了自动生成液压系统污染控制数学模型的方法。
Establish feature-based components graphics library, developed hydraulic system chart editor. Explain the automatic establishment method of hydraulic system contamination control mathematical model.
利用数学方法和图形学理论对数控编程中的图形变换进行了分析。
The graphics transformation for numerical control is annelid by using mathematics and graphics in the paper.
为此，简单介绍了一套较完整的仿真系统，其中主要介绍了发电机组三相短路后电压、电流数学建模过程及图形化显示方法。
The paper mainly introduces a kind of stimulatior, It emphasizes on the mathematical mode! of three phase short circuit breakdown and its showing methods.
图论是研究图的组合关系及结构的一个数学分支，可以方便地实现图形同计算机算法的结合。
As a mathematic branch studying the graphical composite relation and fabric, the graph theory can be expediently used in solving graphical problems with computer algorithm.
擅长数学，对几何图形反应敏捷。
印度理工大学的一开始是无晶圆厂的半导体产品供应商的数学协处理器和图形芯片组市场。
IIT began as a fabless vendor of semiconductor products for the math coprocessor and graphics chipset markets.
在建立激光变长线快速成型系统加工过程的数学模型的基础上，提出了一种可对任意平面图形进行分区处理的分区算法。
Based on building the mathematical model of scanning process of Length alterable Line scanning Laser rapid prototyping system, a zoning algorithm for planar polygon is put forward.
在建立激光变长线快速成型系统加工过程的数学模型的基础上，提出了一种可对任意平面图形进行分区处理的分区算法。
Based on building the mathematical model of scanning process of Length alterable Line scanning Laser rapid prototyping system, a zoning algorithm for planar polygon is put forward.
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