查询词典 gradient of scalar field

In the paper two k inds of framewo rk of st rain gradient p last icity recent ly developed and their applications are review ed: st rain gradient plasticity for CS solid—— the couple stress theory, strain gradient plast icity for SG solid.

介绍两种应变梯度塑性本构模型： CS 应变梯度塑性理论——偶应力理论、SG 应变梯度塑性理论。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

Compared with the initial value problems of scalar conservation laws with smooth flux function, the global weak entropy solutions for the initial-boundary value problems of scalar conservation laws with weak discontinuous flux function include the following new interaction types: a rarefaction wave collides with the boundary and is absorbed compltetely or partially by the boundary; a rarefaction wave collides with the boundary and the boundary will reflect a contact or non-contact shock wave; a contact or non-contact shock wave collides with the boundary and is absorbed by the boundary; a contact or non-contact shock wave collides with the boundary and a new non-contact shock will rebound from the boundary simultaneously or later.

与具有光滑流函数的单个守恒律的初始值问题相比，具有弱间断流函数的单个守恒律初边值问题的整体弱熵解中包括下列新的相互作用类型：稀疏波碰到边界并被边界部分或全部吸收；稀疏波与边界相撞，边界反射出一个接触或非接触激波；接触或非接触激波碰到边界并被边界吸收；接触或非接触激波与边界相撞，边界同时或稍后反射出一个新的非接触激波。

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。

Today I research and teach at Barnard, a women's college in New York City.

今天，我在研究和教学巴纳德，一个妇女在纽约市大学。

Four kinds of corrosion inhibitors for drawn-and-ironed material were studied by means of electrochemical method and rapid laboratory evaluation.

采用气相快速甄别实验和电化学方法研究了对高速电镀锡薄钢板具有缓蚀作用的四种不同的物质。