查询词典 scalar product

The problem of scalar multiplication on the Jacobians of hyperelliptic curves is studied. A fast algorithm for scalar multiplication on the Jacobians of a kind of hyperelliptic curves based subfield is proposed with its computational cost analyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

The problem of scalar multiplication on the Jacobians of hyperelliptic curves isstudied. A fast algorithm for scalar multiplication on the Jacobians of a kind ofhyperelliptic curves based subfield is proposed with its computational costanalyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

The performance of the proposed method is compared with that of the well-known vector standard filters such as the VMF, progressive switch median filter, scalar median filter ,minimum distance between central sample and scalar median in its neighborhood vector median filter and the basic vector directional filter.

结果表明，DMNVM滤波性能明显优于现有的VMF、递进开关中值滤波、标量中值滤波、与标量中值距离最小向量滤波和方向矢量中值滤波；同近年提出的自适应向量滤波比较，AVMF客观指标平均绝对误差协MAE、均方误差和标准色差分别是DMNVM的1.81、2.59和2.17倍，这说明DMNVM的滤波性能有显著提高。

In the past years, the chiral SU(3) quark model has achieved success. In this model, the nonet pseudo-scalar meson exchanges and the nonet scalar meson exchanges are considered in describing the medium-and long-range parts of the interactions, and the one gluon exchange describe the short-range repulsion.

过去几年来，手征SU(3)夸克模型已经取得了相当的成功，应用该模型统一地解释了重子基态的能谱，核子-核子以及核子-超子散射过程，并由此预言了实验上可能存在的双重子束缚态。

Network analyzers provide a method for measurement of frequency translating devices and these methods are more accurate and can save more time. According the principles of scalar network analyzer and vector network analyzer the authors introduced methods to measure conversion loss of frequency translating devices using scalar network analyzer and methods to measure conversion loss and phase using vector network analyzer.

摘 要：网络分析仪为测量变频器件提供了快速而准确的测量方法，根据标量网络分析仪和矢量网络分析仪的测量原理，详细介绍了用标网测量变频器变频损耗的方法，以及用矢网测量变频损耗和相位的方法。

According the principles of scalar network analyzer and vector network analyzer the authors introduced methods to measure conversion loss of frequency translating devices using scalar network analyzer and methods to measure conversion loss and phase using vector network analyzer.

摘 要：网络分析仪为测量变频器件提供了快速而准确的测量方法，根据标量网络分析仪和矢量网络分析仪的测量原理，详细介绍了用标网测量变频器变频损耗的方法，以及用矢网测量变频损耗和相位的方法。

In order to derive the qq-qq interaction, we generalize the Fierz transformation from SU(N ≤4) scalar and pseudo scalar to SU tensor and point out that the qq — qq interaction may be useful in an extended quark potential model calculation.

为了得到三体夸克-夸克对之间的相互作用，我们将著名的Fierz变换从SU(N＜4)的标量和赝标量推广到任意的SU张量。

Finally,we discuss the mixing and decays of multi-resonances via studying the properties of the pseudoscalar and scalar mesons.For the pseudoscalar mesons, we find the eta(1410) is mainly a glueball state by studying the decays of the ground pseudoscalar mesons. For the scalar mesons, we suggest the ground mesons contain neglect

对于赝标介子，通过研究它们的衰变发现eta(1410)的主要成分是胶球，对于标量介子，借助描述五个标量介子混合的质量矩阵，通过拟合观察到的标量介子的质量，发现基态标量介子中的胶球成分可以忽略，而其径向激发态中含有比较多的胶球成分。

This paper focuses on four important aspects as follows. The first one is the establishment of variational quations which provides the mathematics theories for the finite element method of HMT; the second one is for the study of scalar/node and vector/edge finite element method; the third one is about how to solve faster for the large-sacled matrix system of scalar/node and vector/edge finite element; and the last one is achieving the forward modeling with high precision of HMT method.

主要包括四部分：建立与高频大地电磁法边值问题相等价的变分问题，为有限元数值计算奠定数理基础；标量/矢量有限元方法的研究；加速标量/矢量有限元矩阵系统方程迭代求解技术的研究；实现高频大地电磁参数精确快速正演模拟的研究。

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性，从而使得一些情形下，同类解的相互作用体现在参数矩阵上变的较简单；我们给出了AKNS方程的两类不同解，并约化到NLS；对DS方程，我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法；把这些有关标量ω的结果推广到ω为矩阵上往往只要把p，q变为矩阵即可，进而可以再推广到方程组上。

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

The upper front part of a saddle;a saddlebow.

前鞍桥马鞍前面的上部分；前鞍桥