Instruction Design Studies of "Euler's Formula and the Classification of Closed Surfaces" for High School Mathematics

The Paper discusses slip-limit of wire-rope along the lining for friction hoisting including shaft resistance, influence of shaft resistance and principles for selection by using Euler's formula.

本文用欧拉公式探讨了包括井简阻力的摩擦提升钢丝绳沿衬垫的滑动极限、井筒阻力的影响和取舍原则。

In this paper, Euler's formula and Handshaking lemma is used to obtain the face chromatic number of a planar graph by solving equations.

本文在前人研究的面着色问题基础上，运用欧拉公式和握手定理通过解方程组得到连通平面图的面色数。

The Revision of Euler's Formula and It's Application to the Determination of the Coeffcient of Friction in Friction Winders

欧拉公式的修正及其在摩擦提升摩擦系数测定上的应用

Study on Phenomenon of Belt Creep and Extensive Euler Formulae

广义欧拉公式及带的滑动现象研究

Secondly, a strict definition is given to polyhedra, and the conditions are given for applying Euler ′ s formula and Gauss Bonnet Theorem to polyhedra.

对多面体进行严格的定义，给出欧拉公式及Gauss-Bonnet定理对多面体的应用条件。

The classic Euler formula describes the relationships between the curvature of the intersection curve of two surfaces and the normal curvatures of surfaces and the angle between surfaces.

经典的欧拉公式描述了两曲面交线的曲率和曲面的法曲率以及曲面夹角之间的关系。

Application of Euler formula in design of reinforcement in structure constitution

欧拉公式在结构构造配筋设计中的应用

For any 2-connected G, these results can be proved just by using Euler's formula.

对于2-连通图，只用欧拉公式就能证明他们的结果。

With Eulerian formulation the partial differential equations ( PDEs) of curve evolution are given and the two curves will stop on the desired boundary.

利用欧拉公式，得到曲线演化的偏微分方程。那两条曲线将在想得到的边界停止。

On the dynamics part, attention has been given on inverse dynamics problem using Euler formulation.

动力学部分，在逆动力学分析上使用欧拉公式。

On Pcr's Precision in Ora Formula The Content of Graph Theory and Its Development

论欧拉公式中P（cr）的精确度图论的发展

On Nonexistence of Euler's Formula for Stabilization of Compressive Bar

关于压杆稳定欧拉公式实际上不存在的论证

Particular Extension of Euler Formula and Bertrand Formula

欧拉公式和贝特朗公式的特定推广

The acquired 3D object satisfied the restrictive conditions of Euler formula.

求解的三维实体满足欧拉公式点、线、面约束条件。

In this paper, we give simplified proofs of the Euler formula for normal curvatures of surfaces of R3. We derive an analogue of Euler formula for geodesic curvatures of surfaces.

本文给出了R3中曲面的法曲率的欧拉公式的简单证明。并得到一个关于曲面交线曲率及曲面测地曲率的类似的欧拉公式。

Since the grid is used as an updated Lagrangian frame, the nonlinear convection term associated with Eulerian formulations does not appear.

因为基于网格的计算是一种动态的拉格朗E算法，因此与欧拉公式相应的非线性对流项将不再出现。

By means of the revised Euler's formula, a more feasible and reliable method for the determination of coefficient of friction in friction winders is presented.

利用欧拉公式修正式，本文对用于矿井摩擦提升机的摩擦系数提供了一种快速、经济而又可靠的测定法。

On the generalization of Euler's formula of convex polyhedron

凸多面体欧拉公式的推广

Some theories and key algorithms of solid modeling such as the theory of r-sets, representation model based on generalized Euler formulas, set membership classification are explained and summarized.

本文阐述并总结了实体造型的一些理论和关键算法，如正则集理论，基于推广的欧拉公式的表示模型，集合成员分类。

On this account, the classical Euler's formula based on constant coefficient of friction is thus revised.

考虑到这个因素，对按照摩擦系数为常数而推导出来的欧拉公式进行了修正。