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The fast multipole method and the multilevel fast multipole algorithm are new efficient methods for analysis problems of electrically large objects.

快速多极子方法和多层快速多极算法是研究电大尺寸目标问题的新型的快速高效数值算法。

Order method is introduced, and the fast multipole algorithm and the precorrected fast fourier transform method are described in detail, some further developments of these methods are given at last.

介绍了面元法的快速算法及B样条高阶方法的发展概况，对快速多极算法及预修正快速傅里叶变换方法做了详细的介绍，指出了这些方法今后的发展方向。

The well type gas nitrogenation oven uses the multi-layered multistage multi-link multi-spot assignment type ammonia input mode, enables the active nitrogen member fast evenly with the work piece surface union, forms the even fast nitrided level, the coordinate high speed spiral air flue, the effective addressing work piece blind hole and the deep hole nitriding craft, nitrides strongly by the microcomputer programmed control infiltrates, the diffusion technology heating curve.

井式气体氮化炉采用多层多段多环多点分配式氨气输入方式，使活性氮气分子能快速均匀地与工件表面结合，形成均匀快速氮化层，配合高速螺旋风道，有效解决工件盲孔和深孔地氮化工艺，由微电脑程序控制氮化强渗、扩散工艺加热曲线。

By using the noncircular characteristics, the fast algorithm provides a better performance than the traditional fast algorithm such as propagator method.

快速算法由于利用了信号的非圆特性比常见的快速算法，如传播因子算法等具有更高的测向精度。

The MR protocol involved transverse, coronal, and sagittal noncontiguous T2-weighted single-shot fast spin-echo sequences; transverse fat-suppressed T2-weighted fast SE sequences; transverse T1-weighted gradient-recalled-echo sequences; and transverse and coronal short inversion time inversion-recovery sequences performed through the lower abdomen and pelvis.

MR计划包括于下腹部与骨盆位置执行的，横轴的、冠状的、矢壮轴的非连续T2加权单射快速环绕音波程序；横轴压抑脂肪讯号的T2加权快速SE程序；横轴T1加权梯度回复音波程序；以及横轴、冠状短程反向时间反向回复程序；由2位放射科医师评估MR结果，以及与外科及病理发现、临床追踪数据比较。

For example, the fast detect feature allows fast overrange detection by outputting four bits of input level information with very short latency.

例如，快速检测特性可以通过输出四位输入电平信息实现快速检测超量程输入，并且延迟极短。

The proposed algorithm had the following characteristic: firstly, for various different cross traffic burstiness and load, the algorithm could dynamically tune the length of the probing packet train;secondly, it improved the method of adjusting the rate of the probing packet train, not only it remained the benefit of the fast converge, but also itwas more suitable for the burst cross traffic situations; thirdly, improved the algorithm of detecting the owd trend.simulation shows that it can measure the avail-bw of the end-to-end path accurately and fast, and it was suitable for the real-time applications.

它具有以下几个特点：针对背景流量突发性和负载状况，自适应地动态调整探测包串的长度；改进了探测包串发送速率的调节方法，既保证了算法快速收敛的特点，又更能适用于背景流量突发的情况，提高了实时带宽测量的精确度；改进了判断单向延时趋势的算法。仿真实验表明，该算法能准确快速地测量出端到端可用带宽，适用于实时应用环境。

The HFE cryptosystem presented by Jacques Patarin in 1996 has long been regarded as the most promising one of multivariate cryptosystems,and is a promising public key cryptosystem with many practical applications:very fast or very short digital signatures,fast public key encryption,etc.

多变量密码系统设计与分析是近年来密码学研究领域中的一个非常活跃的研究方向，其中基于有限域上多变量二次方程组的求解问题设计密码系统并对其进行分析是这一方向的一个重要内容。

When not if you face the temptation to optimize prematurely for performance and thereby pessimize clarity, recall Item 8's point: It is far, far easier to make a correct program fast than it is to make a fast program correct.

当你无法抵挡住诱惑，打算对不成熟的性能进行优化的时候，并因此感到无助的时候，请看看本书的Item 8的观点：让一个正确的程序变快要比让一个快速的程序变的正确容易的多得多得多

The experiments confirm that Nuclear fast red bindto DNA to form a 1:1 association complex with the binding constant 7.29×10~5 L/mol,and the major binding mode of Nuclear fast red to DNA is electrostatic binding.However, at high iron strength, the major binding mode changes into intercalativebinding. Part four is about investigation on the interaction of purpurine with DNA.

结果显示，核固红与DNA主要以静电作用模式结合，结合位点为1，结合常数为7.29×10~5L／mol；而在高离子强度下，其主要作用模式改变为嵌插作用；第四部研究了红紫素与DNA的相互作用。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。