恒等式

The vactrix method is further developed, a vectrix Skew-symmetric crossproduct identity is presented and the dyadic form of the derivative of a vector with respect to another vector in terms of vectrix is also offered.

进一步发展了矢阵方法，提出了矢阵叉积算子恒等式及矢量相对于矢量的导数以矢阵表示的并矢形式，并给出了若干应用实例。

Smarandache LCM function and the divisor function,a mean value of composite function which involving the pseudo-Smarandache functions is given,and obtain some interesting identities and asymptotic formulae for them.

Smarandache无平方因子函数Zw和新的伪Smarandache函数K的复合函数的均值问题，并给出一些有趣的恒等式及渐近公式。

Compared with the compress algorithm based on trigonometry invariant equation, the new algorithm can double the compress ratio with the same performance, which means reduction the power and higher operating speed of the digital modulator.

在得到相同性能的前提下，与现有的基于三角恒等式的压缩方法相比，基于Talor级数的压缩算法提高了1倍的压缩比，从而使更快速更低功耗的数字调制器的实现成为可能。

By means of the dual of Said-Ball basis, the Marsden identity is got in terms of Said-Ball basis, and a degree reduction algorithm for Said-Ball curves is presented through the transform from Bezier curves to Said-Ball curves.

利用Said-Ball基函数的对偶基，得到幂基函数在Said-Ball基下的Marsden恒等式，及从Bézier曲线到Said-Ball曲线的转换。并给出Said-Ball曲线的降阶赋值算法。

For fourth order p-biharmonic elliptic equation with Dirichiet boundary conditions, a new Pohozaev type identity is established.

对于具有Dirichlet边界条件的四阶p-双调和椭圆方程，建立了一个新的Pohozaev恒等式。

This dissertation studies the applications of the inversion techniques and its equivalent form in finding and proving the hypergeo...

本文探讨了反演技术及其等价的形式在寻求和证明超几何级数恒等式方面的应用。

This dissertation studies the applications of the inversion techniques and its equivalent form in finding and proving the hypergeometric series identities.

本文探讨了反演技术及其等价的形式在寻求和证明超几何级数恒等式方面的应用。

We use different method to study the counting problem of primitive elements in the extension of finite field and obtain a new identity on Euler function.

用不同的方法研究了有限域扩张的本原元的计数问题，并得到一个关于Euler函数的新的恒等式。

The paper analyses fraction sum of Fibonacci and Lucas number, and obtains a number of interesting constant equations.

本文研究了Fibonacci数和Lucas数分式变换之和，得到若干有趣的恒等式。

The chapter 3 investigates the constructive method which means that many combinatorial numbers, such as Stirling number, Bell number, harmonic number, Fibonacci number and the number of derangement, are represented to moments of some random variables. This method is used in the computation of combinatorial sums, discovery and proof of combinatorial identities.

第三章研究了构造性概率方法，即一些常见组合变量(以后统称组合数为组合变量)的概率表示，诸如Stirling数、Bell数、调和数、Fibonacci数、错排数都可以表示为一些随机变量的矩，这些概率表示可以用来研究组合和式的计算与恒等式的证明。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。