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In this paper we will use the concept of "mutual opposite form" to simultaneously recode two scalars stating at most significant bit to least significant bit, i.e. left-to-right recoding. We propose a new representation with low joint Hamming weight to reduce the number of elliptic curve point additions to achieve decreasing the operation cost.

本文将透过符号交替表示式，针对两纯量从最高有效位元(most significant bit， MSB)编码至最低有效位元(least significant bit， LSB)以同步的方式重新编码，新的表示式具有低结合汉明权重特性，可以减少椭圆曲线点加法运算次数，达到降低运算成本的目的。

Emilie Marcus:The new "Theory" format is intended to focus on work that synthesizes existing scientific data to propose a new testable hypothesis for a given biological process.

新的理论版块的论文主要是针对一个特定的生物过程，综合已有的实验数据作出一个新的、可测试的假设。

Based on experiment results, we propose a weighted single slice rebinning method, which associates with each emission data a weight, which is inversely proportional to the distance between the emission line and the central axis of the measurement system.

根据实验，我们还提出一种加权单层数据重组方法，这种方法在将一斜放射事件分配到某一切面内时要乘以一权值，此权值随放射线到中心轴的距离增大而减小。

According to the analysis in the previous chapters,the fourth chapter makes analysis from exchange rate changes to stimulating the economic development of our country,and then to the employment transmission mechanism.Aiming at the impact of change in the RMB exchange rate on employment,the paper sums up the main conclusions and propose policy recommendations.

第四章根据前三章的分析，主要从汇率变动刺激我国经济发展、再以经济发展带动就业传导机制展开分析，针对人民币汇率变动对就业产生的影响，总结出主要结论并提出相应的政策建议。

Lewinsky's affidavit, she says this, I have never had a sexual relationship with the President, he did not propose that we have a sexual relationship, he did not offer me employment or other benefits in exchange for a sexual relationship, he did not deny me emp loyment or other benefits for rejecting a sexual relationship.

"问：在第8宣誓书，她说这"我从来没有性关系与总统、他不认为我们有一个建议性关系，他不我提供就业或其他好处来换取性关系，他不否认我脉冲loyment或者其他好处拒绝性关系。

We propose an approach to segment the epicardium and endocardium in cardiac image automatically.

通过对MR图像左心室分割中各种主流方法的分析，提出一种自动分割MR图像左心室内外轮廓的算法。

I do not propose enema or washing, because this will increase the risk of HIV infection.

我不建议灌肠或冲洗，因为这会增加感染HIV的风险。

Here, I want on this question, from the epistemology angle, to propose my some views.

这里，我想就这个问题，从认识论的角度，提出自己的一些看法。

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后，为了理解和重现数值模拟的结果，我们通过局域能量均分假设和涨落耗散定理，建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。