公式的

The formulas calculating higher derivatives of parametric functions and composite functions are given by the chain rule and the product formula for derivatives.

用函数的链式法则和乘积公式给出了参数函数和复合函数的高阶导数的计算公式。

Then the formula of the impact force and contact time was induced,which the elastic coefficient of restitution was considered in contact time calculation.

根据赫兹接触模型和经典碰撞理论，并考虑返向器与螺母的固连关系，建立了滚珠与返向器碰撞接触的力学模型，导出了碰撞力公式，并在考虑弹性恢复系数的基础上推导出了碰撞接触时间公式。

Color quantization experiment of highly complex color images demonstrates that this new color difference formula's performance is better than those widely used color difference formulas in RGB color space.

通过高复杂度图像的颜色量化实验证明该色差公式在颜色量化中的性能优于目前使用较为广泛的几种RGB色差度量公式。

Furthermore, according to the relationship between natural frequency and span, the computational formula reflecting the above effects is erected based on the 2 design speed.

并且根据桥梁自振频率与跨度的关系，将此公式简化，形成基本的以跨度表示的动力系数计算公式。

A new concept of convex set and its some characteristic properties This paper give a new definition, the support direction of a boundary point of convex set.

2复杂网格的Buffon概率在积分几何中，运动公式是一些定义在定区域与动区域交集上的几何函数的积分公式。

The modification of the Gladman's model may then be proposed by the comparison of different models of grain coarsening with assumption of uneven in convexo-concave interface along grains. The modified Gladman's expression is given as: R_o =πr/3f_v(3/-2/Z) that may fairly predict the actual grain size observed.

比较了已有的晶粒粗化模型，在晶界面为凸凹不平的曲面前提下，对Gladman模型做了修正，提出了如下的修正Gladman公式： R_0=πr/3f_v(3/2-2/Z)该公式能较好地预测晶粒的实际尺寸。

In order to study the effect of Coriolis acceleration on the natural frequency and dynamic stress of high spinning steam turbine blades, a computational model of Coriolis force and dynamic stress induced by Coriolis acceleration in blades is presented using analytic method.

该模型克服了以往在叶片动态特性分析时难以考虑科氏力影响的问题，导出了科氏动应力和非稳态气流动应力比值的计算公式以及科氏力和离心力比值的计算公式，并进行了实例分析。

According to the Poisson equation of gravity-magnetic potential, we derive the relation of cosine transform spectrum between magnetic potential and magnetic field constituent and deduce the cosine transform spectrum formula of n degree derivatives using the cosine transform.

根据重磁位场的泊松公式，利用余弦变换给出磁位与磁场分量间的余弦变换谱关系，推导出磁异常n阶导数的余弦变换谱公式。

In the thesis, the author firstly clears up some basic theories of wavelet analysis, revises some formulae and proves and deduces some theorems and formulae in detail and gives a counter example and paradox.

本文首先对小波分析的理论部分进行整理，对部分公式进行修正，同时给出了部分定理和公式详细的推导和证明，并且给出无穷区间积分的一个反例和悖论。

Under the higher-dimensional situation, it introduces mainly the multiple integrals formulas on some standard areas, the multiple integrals formula by the methods of sampling, the reduction of dimensions and the boundary type cubature with a certain algebraic precision, and calculate multiple integrals with the methods of number theoretical net and so on.

在高维情形下，主要介绍了一些标准区域上的多重积分公式，用抽样法来求多重积分，具有代数精度的降维展开式和边界型求积公式，以及用数论网格的方法来计算高维积分等。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！