乘法

The domain variables are interpolated by classical fundamental solutions and thus allowing for the transfer of the domain integration to the boundary.

其中，域内场函数用基本解插值，边界上的场函数用移动最小二乘法插值。

Since most of the large molecules containing phosphorus element have double bonds, it is necessary to consider the special structures of double bonds in order to deal with these large systems more accurately. So, based on density functional theory and electronegativity equalization principle, applying a general atom-bond electronegativity equalization method , using separated program, through regression and least-squares optimization , the parameters of atoms and bonds in molecules are determined . By these parameters , the charge distributions and the energy of some molecules containing phosphorus element, especial the fragment of DNA, RNA, are calculated . The results are quite good.

由于这些含磷生物大分子体系都含有双键，为了明确的处理双键，进而更准确的解释带有双键和共轭双键的含磷生物大分子结构与性质的关系，我们以密度泛函理论~([1-4])和电负性均衡原理~([5-9])为基础，应用和开发原子-键电负性均衡方法中的σπ模型，利用最小二乘法，拟合确定了一些分子（含碳、氮、氧、氢以及磷等原子）的各种类型原子及化学键区域的参数，并利用上述参数计算了一些多聚核苷酸的电荷分布以及分子的总能量，进行了讨论，得到的结果可以和从头算相媲美。

In this paper,an Ethernet based double-precision floating-point matrix multiplication parallel computing system was designed.The design was implemented on Xilinx's XUP Virtex-II Pro development system.

本文设计了一个基于以太网的双精度浮点矩阵乘法并行计算系统，并在Xilinx XUP Virtex-II Pro开发平台上进行了原型验证。

This paper is concerned with the RS encoder over a dual basis, and RS encoder in DVB-C system was implemented as a example.

在有限域的各种算术运算中，乘法是研究较多的，其中Berlekamp比特串行乘法器的硬件较为简单[1]，适合用于RS码编码器。

Based on the analyzing of finite field multiply operation, Matlab was used to simplify the sections which were complex and resource-consumed. As a result, a simple form of combinational logic was obtained. And bit-parallel multipliers under nature or dual basis were designed separately in finite-field with VHDL language.

在分析有限域乘法运算法则的基础上，用Matlab简化其复杂而消耗资源的部分，得到形式简单的组合逻辑，并用VHDL语言分别设计了有限域GF(2m)中自然基和对偶基下比特并行乘法器。

Relationship between the dual form and primal form of solution based on SVM method in a frameable reproducing kernel Hilbert space is studied.

在基于标架型的再生核希尔伯特空间中，研究了SVM算法下，解的对偶形式和原形式之间的关系，进而将SVM算法与最小二乘法相结合，讨论了支持向量机的半参数估计。

GPS (Geometrical product specification and verification); database; general ; GPS matrix model; duality principle; LSC; norm theory

工程科技II，工业通用技术及设备，工业通用技术与设备GPS；数据库；通用； GPS；矩阵模型；对偶性原理；最小二乘法；范数

By using the character of biorthogonal wavelets,which have dyadic rational filter coefficients,this paper presents a fast multiplierless DWT algorithm,which is very suitable for EZW image coding.

在此基础上，针对具有二进系数的双正交小波滤波器，提出了一种适合零树编码的快速小波变换算法，此算法不但以移位代替了乘法运算，而且与使用原始滤波器系数的变换等效。

The brief proof is given for " row elementary operation s keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.

利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出矩阵的行初等变换不改变其列向量组的线性关系的一个简易证明。

This is my collection of a foreigner series of the least squares fit algorithm for elliptic.

这是我收集的一个老外编的最小二乘法拟合椭圆算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。