研究几何学

The idea of Gauss initiated the study of "intrinsic geometry" and made differential geometry an independent subject of mathematics.

由此开创了曲面的内蕴几何学的研究，使微分几何成为一门真正独立的学科。

Whereas plato's academy led in the development of mathematics and geometry, the lyceum focuses on applied scientific research, especially in the natural sciences.

当柏拉图的"学院"着重于数学和几何学的发展时，"学苑"专注于应用方面的科学研究，特别是自然科学。

In the school devoted to form and design,instruction was given in the study and representation of natural form,in geometry and principles of building construction,in composisition and the theories of volume,colour,and design.

在学校里主要是专攻于形式和设计，在研究和再现自然形态的过程中，在几何学，建筑构造原理，构成，容积，色彩和设计理论的学习过程中老师会给出一些指导。

Always imagine based on the traditional Euclid geometry various natural sciences the research object a each one rule the physique, but we live the world unexpectedly so irregular and is torn to pieces, compares with the Euclid geometric figure, has the completely different level the complexity.

基于传统欧几里得几何学的各门自然科学总是把研究对象想象成一个个规则的形体，而我们生活的世界竟如此不规则和支离破碎，与欧几里得几何图形相比，拥有完全不同层次的复杂性。

In this research we analyze the role of symmetry, neoclassical canons, and golden ratio in the determination of attractiveness of a face.

这项研究提出了评价面容吸引力的模型，表明了几何学在面容吸引力评价上的重要作用。

Finally, we present an arithmetic of multiplehypocentral, heterogenous dislocation, and a multirupture segment superposition model for simulating the earthquake deformation field. The simulated LOS interferometry map presents the distribution characteristics of the earthquake deformation field better than that of previous studied. Meanwhile, a suit of fault geometric parameters of the earthquake is also obtained by the study. Having a better effect upon simulating asymmetry, great dislocation, macro rupture field, and nonhomogeneity of dislocation than the traditional model, the multisegment method is a progress of this work. It provides a better explanation for the study on hypocentral parameters.

基于上述原因，本文对Okada线弹性位错模型的算法进行了改进，提出了"多震源、非均一位错分量、多破裂段叠加"的线弹性模型，该模型模拟出的形变场干涉纹图较好地体现了地震形变场的分布特征，并由此获得了一套较为完整的地震发震断层的几何学特征参数，为破裂带长度、破裂面方向、破裂面大小等震源破裂特征参数研究提供了较好的解释。

Rheology is the liaison between geometry and kinematics as well as dynamics of continental orogen.

流变学研究是大陆造山带几何学、运动学和动力学的桥梁。

With differential geometry knowledge, the local characters of the blade surface are analyzed. Based on researching the cylindrical cutters osculating location, the methods to calculate the osculating location of the conic cutter and the torus cutter are discussed. A method of tool path planning based on the second order osculating method is preferred.

利用微分几何学知识，分析了螺旋桨桨叶曲面的局部特征，在研究圆柱刀二阶密切法规划刀位的基础上，探讨了圆锥刀和圆环刀的二阶密切刀位计算方法，采用二阶密切法规划刀位可以显著地提高加工精度。

American mathematician noted for his work on projective geometry and topology.

维布伦，奥斯瓦尔德1880－1960美国数学家，以其在射影几何学以及拓扑学上的研究而闻名

American mathematician noted for his work on projective geometry and ''.

维布伦，奥斯瓦尔德1880－1960美国数学家，以其在射影几何学以及拓扑学上的研究而闻名

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。