乘法

Aiming at three-dimensional construction of point object,lease square-method is usually used in traditional method.But because it don't consider geometric meaning that the over-determined equation set is represent for,the precision of point object measured is low.

针对空间点目标的三维重构，传统的方法是采用最小二乘法进行的，但是由于最小二乘法没有考虑所建立的超定方程组所代表的几何意义，所以计算出的点坐标精度不高。

Experiments on multiplier tree and adder tree expressions exhibit running time reduction of 83% to 99%, and 40% to 80% respectively.4. Arithmetic unit check with half adder graph technique: Binary Moment Diagram technique has been used in multiplier equivalence checking.

比如针对加法和乘法连续运算的表达式，算法从实现电路中提取变量顺序和结合顺序并加以利用，实验表明，在验证乘法连续运算的表达式时减少了83%～99%的时间，加法连续运算表达式的验证时间也可减少40%～89%。4。

This method can be applied to the ECC.(2)The author stresses investigation about the scalar multiplication of divisor, which is the core algorithm in the hyperelliptic curve cryptosystem.

提出了一个关于除子的SWNAF(Sliding Windows Non_Adjacent_Form)标量乘法算法，它是基于滑动窗口的NAF算法，比普通的标量乘法的速度有大的提高。

Based on the foregoing strategy, we choose Inverse Modified Discrete Cosine Transform and Polyphase Synthesis Filterband of the MP3 decoder by an ASIC implementation. Moreover, to further reduce the hardware cost, we use CORDIC-based calculations and merging some arithmetic operations to replace the original ones of IMDCT and PSF.

基於前述的原则及由运算量的统计分析，我们选定「反转修正式离散余弦转换(Inverse Modified Discrete Cosine Transform， IMDCT)」与「多相位合成滤波频带(Polyphase Synthesis Filterband， PSF)」使用ASIC方式实现，同时为了有效降低这两个模组的硬体成本，我们导入「座标轴旋转数位计算机」及合并运算方式取代原始算术运算，使得新的计算式有效降低原IMDCT约74%之乘法及约49%加法运算，而在多相位合成滤波频带的反离散余弦转换也有降低约33.4%之乘法及约24.6%之加法运算。

The Recursive Least Square based on Lethe gene, Partial Least Square, BP Nerve Network,which are wide applied in process control, are discussed detailedly respectively. The characteristic and their domain applicable fields of each model and their mend models are systematically analysed.

对在过程控制领域广泛应用的渐消记忆递推最小二乘法、偏最小二乘法和BP 神经网络等建模方法进行了详细的讨论，并对每种建模方法及其改进算法的特性、应用范围进行了深入的分析。

There are five important soft sensor models of moisture have been established in this paper: the moisture model of The Recursive Least Square based on Lethe gene, the moisture model of Principal Component Regression , the moisture model of Partial Least Square, the moisture model of BP Nerve Network, the moisture model based on PLS—BP. All of these soft sensor models of moisture are systematically analysed by using Compound Correlative Coefficient. The factors which influence control of moisture are discussed on detail in this paper.

建立了五个重要的水分软测量模型，即渐消记忆递推最小二乘法水分模型；主成分分析法水分模型；偏最小二乘法水分模型；BP 神经网络水分模型；偏最小二乘BP 网络水分模型；对以上水分软测量模型用统一的评价指标复相关系数对它们的优劣进行了详细的分析，选出最适合水分建模的建模方法，同时对影响水分的各个因素进行了深入的分析和探讨。

Finally, the fact is proved using mathematical induction and the character of stochastic matrix.

首先介绍了防御矩阵的概念、物理意义、重要性质及计算方法，分析了防御矩阵满足乘法交换律的重要意义，最后综合运用数学归纳法和随机矩阵性质证明了防御矩阵满足乘法交换律的事实，此结论无论对于多层防御系统的防御效用值研究连是矩阵理论研究都有一定的指导作用。

Linear algebra matrix multiplication is the most common operation, it is in scientific research and engineering development have a decisive role in raising the efficiency of its operations for many large academic research of the contents of papers here is to analyze the main two a matrix multiplication algorithm.

详细说明：矩阵乘法是线性代数运算中最常见的运算，它在科学研究以及工程开发中都具有举足轻重的作用，提高其运算的效率是很多大型的学术研究中的内容，这边论文是分析主要的两个矩阵乘法算法。

We use Hodges-Lehmann statistic to do significance test for those factors. The multiplication model is applied in the quantitative analysis and weighted least squares method is introduced to solve the multiplication model. Although the matrix of coefficients is not of full rank and the solutions of the multiplication model are not unique, we prove that all those solutions are equivalent in some sense.

本文用Hodges-Lehmann统计量对风险因子作显著性检验，将乘法模型用于数据修匀和风险因子的定量分析中，并提出了用加权最小二乘法求解风险因子的风险度量，在系数矩阵不满秩、解不唯一的情况下证明了所有解在某种意义下的等价性。

Sparse Matrix Arithmetic Unit for matrix multiplication, addition and subtraction, multiplication, when used during logic lines.

详细说明：稀疏矩阵运算器进行矩阵的加减乘法，在进行乘法时用到行逻辑。

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。