查询词典 multipliers

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

With the help of Lagrange multipliers, we obtain the optimal approximate merging surface with minimal distance.

为得到与原曲面距离最小的近似合并曲面，只需要利用Lagrange乘子法解决带线性约束的条件极值即可。

In their proposed method to implement digital multipliers using decomposition logic, the multiplication process is split into subunits, and their outputs are combined to get the final results.

在他们的提案中，数字乘法器可以通过逻辑分解实现，乘法的过程可以分解为小的单元，同时这些小的单元的输出在组合成为最后的结果，这种并行运算的结构比传统的树状乘法器更有优势。

A high-performance modular exponentiation coprocessor, SEA, is presented here, and three novel ways are employed. First, a parallel binary modular exponentiation algorithm is used to decrease cycles, and a high radix Montgomery modular multiplication algorithm is modified to the radix based high radix Montgomery modular multiplication algorithm to increase the frequency; second when mapping algorithms to a systolic array, modular square and modular multiplication are alternatively computed to cover up the dependencies between iterations in the RBHRMMM algorithm and the bypass is used to eliminate the dependencies in the PBME algorithm; third, multipliers are split first, and then accumulations are compressed as partial products to decrease carry propagation delay in the critical path.

SEA是一种针对大数模幂的高性能协处理器，其主要采用如下3种加速方法：①采用二进位并行模幂算法和以基数长度为处理字长的高基数Montgomery算法；②将算法映射到脉动阵列处理结构，并交替计算平方和乘以掩盖RBHRMMM算法中的相关，同时应用定向技术消除PBME算法中的相关；③基於"先拆分乘法、后将累加压缩"的思想优化关键路径。

The first design is to change the recoding method, and increase the probability of zero partial product by 6.25%. Then we can speed up the asynchronous booth multipliers based on the characteristic of asynchronous circuit.

第一种改良，则是改良加码器的部分，而使产生的部分乘积为0的机率增加，可到达6.75％的增加，将此种改良用於非同步乘法器的设计，可使得速度上得到14.8％的加速。

The device uses an improved algorithm for BOO TH generate part of the plot, with a mixed array and a tree structure to achieve the sum of the partial product, while also using a fast rounding algorithm to improve the performance of multipliers.

该器件采用改进的BOO TH 算法产生部分积，用阵列和树的混合结构实现对部分积的相加，同时，还采用了快速的四舍五入算法，以提高乘法器的性能。

We gen-eralize the holomorphic pointwise multiplier to pluriharmonic and〓-harmonic pointwise multiplier on the Bergman space.Somecharacterizations of such pointwise multipliers are gotten.

解析点乘子推广到多调和或〓调和的情形我们是在Bergman空间上做的，得出了关于Bergman空间上点乘子的一些性质。

The method of concentrate mass and Lagrange multipliers were used to build the dynamic model of moving the rope on a sheave.

采用集中质量的方法，建立了一种新型的曳引绳绕行运动的动态模型，并通过Lagrange乘子的引入将曳引轮的运动作为约束条件施加在绳子上。

Oneof the things that I try to emphasize in the reports -- because wehaven't yet even had to face a report to Congress -- is, we're going todo it lots of ways but I think -- to make sure that we've covered allour bases, we're going to try estimating it one way, we'll look at thedirect numbers, we'll try some different multipliers, we'll be lookingat other studies, we'll be doing some microeconomic analysis to see if,you know, a county had a whole lot of government spending; does it showup in the county employment data?

这份报告中，我要强调一件事情――由于我们甚至还不用讨论一份提供给国会的报告――但是，我认为，我们有多种方法可以做到，――这件事情就是，要确定我们涵盖了所有的基本情况，我们会用一种办法尽量去估计它，我们将关注直接的数据，我们也会试试其他的乘数，我们也会看看其他的研究，我们会做一些微观经济分析，你知道，看某些县是否有很多的政府支出；这个县的就业数据对此是否有所揭示。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。