查询词典 gradient of scalar field

Based on the computation of double point, triple point, and quintuple point, it computes scalar multiplication nP by using properoperations.

该算法在已知二倍点、三倍点和五倍点运算量的基础上，经过恰当的运算计算标量乘。

However, Many aspects of the problem is unsolved, especially, There is a blank when the random variable Y is a multi-dimension random vector with unspecified distribution and the missing data mechanism can not be determined via a scalar parameter.

第三章问题如下：假定可以知道缺失的数据是否属于本章条件指定的某些区间中，在此前提下，对一维随机变量Y的分布函数F作估计。

Following the latter idea, a general form of scalar eddy viscosity models is derived in this paper by introducing two hypotheses. Meanwhile, the realizability of this kind of models is discussed too.

本文遵循后一种思想，在引入两个假设后，推导出标量涡粘性模型雷诺应力的一般表达式，并讨论了其可实现性条件。

However, in more general case, such as in vector/martix-valued case, it should be noted that it appear diffcult to find recurrence relations similar to the famous three-term recurrence relation which can be used to derive surprisingly good results in the convergence theory for scalar continued fractions.

在这一章，我们把第二章的向后三项递推算法推广到向量值情形。

Some basic equations of dual beam scan are derived,such as,the position vector for the incident point,the scalar expression for reflected ray,scan pattern on observation plane ect.

文摘：应用几何光学理论研究了多光束转镜扫描场的非对称性，导出多光束扫描入射点位置矢量、反射线标量表达式、观察面上的扫描轨迹方程，并研究了扫描远场的非对称性。

The controller is composed of a linear PD feedback plus a nonlinear damping term plus a compensator for scalar uncertainty. It doesn't need to compute the traditional regressor.

控制器由一个简单的线性PD反馈+非线性阻尼+标量不确定性补偿控制器构成，不需传统的回归矩阵计算，能够有效地克服通常难于建模的摩擦力和外部扰动影响。

We get some results about the scalar curvature of 2 and n(n≥3)dimensions Einstein manifold :ρ Maybe is constant and ρ is constant, the relation between Einstein Manifold and Riemannian Manifold with constant sectional curvature.

本文对其有关性质进行了讨论，得到了2维和n(n≥3)维爱因斯坦流形的数曲率的一些结果：ρ可能为常数和ρ为常数，以及爱因斯坦流形与常曲率黎曼流形之间的关系

Five ways on comparing covariance matrix are applied to the Shanghai 50 Indexes Stock Exchange, which are sample covariance matrix, scalar matrix, two-parameter covariance matrix, single index matrix, constant correlation matrix. We adopt principal components method and Markowitz portfolio method to measure stock market risk using VaR, getting the effect of measuring market risk. The result shows that sample covariance matrix and two-parameter covariance matrix could measure market risk more effectively.

本文以上证50指数数据为样本，采用样本协方差矩阵、数量矩阵、两参数模型矩阵、单指数模型矩阵、常量相关矩阵作为与股票相关的协方差矩阵，结合投资策略选择的主成分方法和Markowitz最优投资组合方法，计算VaR以度量市场风险，并比较了五种协方差矩阵度量市场风险的效果，结果表明，在主成分方法中，样本协方差矩阵和两参数矩阵方法能有效的度量市场风险。

In this paper by use of a new differential operator similar as one introduced by Cheng and Yau,we obtain a rigidity result for a compact submanifold of constant scalar curvature in a unit sphere.

宣满友 ，盛为民本文利用一个类似于Cheng和Yau引进的微分算子的新微分算子，得到了单位球面中常数量率的紧致子流形的一个刚性结果。

In this paper,focusing on the symplectic manifolds,we discuss the Seiberg-Witteninvariants,some basic construction.the existence of symplectic forms,and the existenceof Riemannian metric of positive scalar curvature.

本文主要围绕辛流形，讨论其Seiberg-WItten不变量、辛流形的一些基本构造，辛形式的存在怀及其上是否存在具有正数量曲率的黎曼度量等问题而展开的。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。