提出了一种利用多项式展开的组密钥分配方案，其特点是不使用传统加密和解密。
A group key distribution scheme utilizing a polynomial expansion is proposed, which features in no traditional encryption and decryption.
介绍了重正化群方程的一种有效的数值解法，并与多项式展开的传统解法作了比较。
An effective numerical solution of renormalization group equations is introduced, and compared with the traditional solution of polynomial expansion.
基于齐次平衡法的思想，利用多项式展开法解得了具有色散项的长波方程组的精确解。
The exact solutions to dispersive long-wave equations are obtained by a polynomial expansion method based on the idea of the homogeneous balance method.
主要研究内容如下：（1）基于单项式容积法和混沌多项式展开，构造了简约配点响应面模型。
The main research content is as follows:(1) Reduced collocation response surface model (RCRSM) is constructed using polynomial chaos expansion (PCE) with points of monomial cubature rule (MCR).
该算法将多项式展开检测器作为并行干扰抵消检测器第一级的数据估计值，以提高检测可靠性。
Aiming at improving the detection reliability, this improved algorithm takes the output of polynomial expansion (PE) detector as its input the data estimates of the first stage of PIC detector.
但是，由于行列式中的元素通常是符号化的，即其中每个元素都是关于变元（或参数）的多项式，导致行列式展开时的中间计算过程膨胀（甚至爆炸）。
However, as each entry in the determinant is symbolic, that is, a polynomial in variable(s), this leads to the intermediate expression swell(or explosion) problem in the expansion of determinant.
然后，将差分公式展开，得出了直接用自变量的多项式形式表示的改进的EVERETT插值公式。
Then an improved EVERETT interpolation formula in the form of polynomial of the variable is obtained by developing the differential form.
而对于一般荷载，利用泰勒展开化为多项式荷载进行积分，并给出了积分误差估计。
For loads in general form, change it into polynomial loads by use of Taylor's development and integrate it. Integral error estimations are also given.
构造的思路是先将其转化为相应的泰勒展开式，然后使用健忘多项式计算协议获得结果。
The oblivious polynomial evaluation protocol will be used many times in our privacy preserving naive bayesian classifier, so its efficiency is important to the solution.
一般多项式都可以展开为正交多项式的级数形式，而勒让德多项式、厄米特多项式和拉盖尔多项式都是典型的正交多项式。
All ordinary polynomials have series expansion of orthogonal polynomials, while Legendre polynomials, Hermite polynomials and Laguerre polynomials are special orthogonal polynomials.
采用埃尔米特插值多项式代替泰勒展开式逼近目标函数，极大地降低了高阶交叉灵敏度的阶数。
Adopting the Hermite polynomial instead of the Taylor polynomial can greatly decrease the order of high-order cross sensitivity.
采用埃尔米特插值多项式代替泰勒展开式逼近目标函数，极大地降低了高阶交叉灵敏度的阶数。
Adopting the Hermite polynomial instead of the Taylor polynomial can greatly decrease the order of high-order cross sensitivity.
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