查询词典 elliptic geometry

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

Their application of convex body and geometry probability is the important theory in integral geometry and convex geometry, One can study the geometric invariants and geometric probability and other issues.

它们在凸体和几何概率中的应用是积分几何和凸几何的重要理论，通过它们可以研究几何不变量和几何概率等相关问题。

The Green's function in Cartesian geometry can be used to replace the complex Green's function in cylindrical geometry when solving the neutron diffusion equation in cylindrical geometry.

用格林函数节块法求解圆柱几何中子扩散方程时，可用平板几何格林函数代替复杂的圆柱几何格林函数。

On a stage of discussing the virtual teaching reform, a new graphics education system among the Institutions of Technology has been being built up and perfected. The author demonstrated how to evaluate the position where descriptive geometry is and what function descriptive geometry plays when it comes to the changing graphics education system. The author also discussed how to use descriptive geometry to cultivate students' thinking and design capacity.

摘 要：在探讨实质性教学改革阶段，工科院校新的图学教学体系正在不断改进和完善，怎样看待画法几何课程在这个体系中的位置、价值和功能，如何利用画法几何来培养学生的思维能力和设计能力，是否认为CAD技术与画法几何没有必然联系。

For example, teaching outline about research on elementary geometry must be redesigned, teaching plan and courses system should also be revised. Particularly, the course 揜esearch on elementary geometry and Higher geometry?

初等几何研究"课程的教学大纲需要重新制订，其课程体系和教学内容也需要大幅度调整，特别是将原来的"初等几何研究"课程和"高等几何"课程合并成为一门课程，并将该课程的教学目的从初等几何"研究转到初等几何教学素质的培养上来。

More specifically, Gauss studied the geometry of surfaces based on the first fundamental form (also called "line element") of surfaces and generalized Euclidean geometry to "curved geometry" on surfaces.

局部微分几何的一个里程碑是 Gauss关于曲面的理论，他建立了基于曲面第一基本形式的几何，并把欧几里得几何推广到曲面上"弯曲"的几何。

In the fourth chapter, I analyze and contrast many architectural cases in history and modern times which ellipse were applied to, and explore the ellipse"s development in historic sense. The fifth chapter investigates the dynamic relationship between geometry and architecture based on ellipse"s geometric character, and analyzes ellipse architecture"s characters in symbolism, dualism, diversity and unity these four facets. In the sixthchapter, taking ellipse architecture as examples, I try to explore the relationship between the more general geometry"s purity and architecture"s complexity, and build the foundation for future exploration of geometry"s purity.

第四章从历史和现代两个方面展开了大量对椭圆形式在建筑中应用的个案和实例的研究与对比，探讨了椭圆形式在历史上意义的变迁；第五章以椭圆的几何特性为立足点，研究了椭圆几何--建筑之间的动态关系，从标志性，二元对立，多样和统一四个方面分析了椭圆建筑的特点；第六章以椭圆建筑为例，尝试探讨了更一般的几何的纯粹性与建筑的复杂性的关系，对几何纯粹性意义的挖掘为进一步的研究提供基础；第七章采用了类型对比的研究方法，分析了安藤忠雄和库哈斯两位设计哲学截然不同的建筑师对椭圆形式的使用；另外，以位置关系为线索，将椭圆和其他的几何形式结合起来，总结了一般情况下几何的纯粹性对建筑复杂性的作用。

The vector has the rich actual background and the widespread application function, it has the algebra and the geometry dual statuses, causes the algebra geometrization, the geometry algebra, has communicated the algebra, the geometry and the trigonometric function, has the good analysis method and the complete structure.

向量具有丰富的实际背景和广泛的应用功能，它具有代数和几何双重身份，使代数几何化、几何代数化，沟通了代数、几何与三角函数，具有良好的分析方法和完整的结构。

The theorems of Ibn al-Haytham, Omar Khayyam and Nasir al-Din al-Tusi on quadrilaterals , including the Lambert quadrilateral and Saccheri quadrilateral , were the first theorems on elliptical geometry and hyperbolic geometry , and along with their alternative postulates, such as Playfair's axiom , these works had a considerable influence on the development of non-Euclidean geometry among later European geometers, including Witelo , Levi ben Gerson , Alfonso , John Wallis , and Giovanni Girolamo Saccheri .

定理伊本Haytham，欧玛尔海亚姆和纳西尔基地丁铝土司上quadrilaterals ，包括德兰伯特四边形和萨凯里四边形，是第一个椭圆形的几何定理和双曲几何，并连同其替代假设，如普莱费尔的公理，这些作品有相当发展的影响非欧几里德几何之间稍后欧洲geometers ，包括Witelo ，列维本格森，阿方索，约翰瓦利斯和乔瓦吉罗拉莫萨凯里。

Results A view of better understanding origins of Gaussian intrinsic differential geometry is presented,and the intrinsic relation between Gauss′s thought of intrinsic differential geometry and of his non-Euclidean geometry is brought to light and discussed.

结果 总结分析了高斯建立的内蕴微分几何的思想和渊源，揭示了其与非欧几何学的内在联系。

The United Kingdom has pledged to provide technical assistance to the peacekeeping effort in Darfur, including airlifting supplies and equipment to assist the African peacekeepers.

英国承诺为达佛的維和努力提供技术帮助，包括提供非洲的維和部队空运补給和裝备。

Results: The level of ET-1mRNA in placental villus was significantly higher in pre-eclamptic women than that in control group.

结果：妊高征组患者胎盘绒毛组织ET-1 mRNA的表达较正常妊娠组明显增高。