Euler's formula

In this paper, we show that the Euler's formula of convex polyhedron also holds in the following two cases: Case 1.Trees generating from some vertices of the polyhedron;

将欧拉的凸多面体公式，推广至由多面体的顶点生长出树的情形，证明了在此情形下，欧拉公式仍成立。

A use of Euler's formula

欧拉公式的一个应用

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

高中数学欧拉公式与闭曲面分类教学设计研究

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。

Corresponding of Euler's Formula and Application

对应的Euler公式与应用

The Euler's formula describes the relationships among the curvature of the intersection curve and the normal curvatures and the angle between surfaces in the Euclidean space R~ 3.It has been applied to many cases in integral geometry.

欧拉公式描述了两个相交曲面的交线曲率、两曲面的法曲率、两曲面夹角之间的关系。它在积分几何中应用广泛。

To the column or beam-column type collapse, adopt the classical Euler's stress formula and Hughes formula to calculate out the value of ultimate strength.

对于梁柱屈曲，则采用经典欧拉应力公式和Hughes公式计算出加筋板的极限强度值；

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。

On the generalization of Euler's formula of convex polyhedron

凸多面体欧拉公式的推广

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

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。

In the literature, the Poincare-Hopf's formula for the indeces of singular points is based on the Euler's formula for the characteristic numbers of surfaces.

在一般的文献中，Poincare-Hopf的曲面奇点指数公式的证明需要利用Euler的曲面示性数公式。

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。

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。

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。

A trial talk on the dialectical thought of euler's formula

试谈EULER公式的辩证思想

Remove the cotter pin and nut from the drag link at the pitman arm. On Nonexistence of Euler's Formula for Stabilization of Compressive Bar

从转向拉杆上拆下转向摇臂处的开口销和螺母。关于压杆稳定欧拉公式实际上不存在的论证

In the form of Backword Euler's Formula of Integration, it derives the 0_+ model of dynamic elements, thus making up 0_+ model circuit. Finding the solution in this circuit and taking its limit, we get the result.

此法是按后向欧拉积分公式的形式导出动态元件的0+模型，从而构成0+模型电路，在此电路中进行求解，取其极限而得所求结果。

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

Euler's Formula in Twisting Processes

加拈过程中欧拉公式的应用与修正

The functions are expanded in power series and the Euler's Formula is obtained, from which the complex is used to study several problems in the advanced mathematics, so it expands the train of calculating the real variable functions.

利用函数展开成幂级数的形式得到欧拉公式，并由此推广用复数方法研究了几个高等数学中的问题，拓宽了实变函数解题的思路。

The article points out some questions subject to scrutiny in applying the conventional "Euler's Formula" to problems conceming transmission.

本文阐述了运用平带传动的“尤拉公式”时应注意的问题；