查询词典 scalar valued function

When scalar Lyapunov function is Lipschitz continuous and regular, Matrosov theorems with respect to a closed invariant set of a class of nonlinear discontinuous systems are proposed firstly and finally, the problem of finite-time stability with respect to a closed invariant set is considered.

论文最后主要讨论脉冲系统、奇异脉冲系统、线性不确定脉冲系统、不确定脉冲系统指定衰减度以及非线性脉冲系统的奇异H∞控制问题。

3D solid visualization class and 3D surface visualization class have thefunction of visualizing the scalar and vector. Moreover, 3D surface visualization classcan produce 2D data file. Picture class provides function of marking on the picture.

其次，运用 VTK 标量和矢量可视化技术实现了三维数据场的矢量和标量可视化，包括三维体数据场标量和矢量单视区显示及三维体数据场剖面标量和矢量单视区/四视区显示；使三维面数据可视化类具备了三维面数据场标量单视区显示功能和剖切面生成二维数据文件的功能，并且在三维面数据可视化类中内嵌了数据预处理算法。

The potential is a scalar function of position.

电势是位置的标量函数。

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

I want to visualize a scalar function of two variables.

我想看到有两个变量的比例函数。

Using triple integral equation based on scalar Green function for forward modeling transient electromagnetic response to a 3 D anomalous body, a frequency response of electromagnetic field component has been evaluated first on frequency domain, then the evaluated results has been transformed into time domain by using fast numeric filtering algorithm.

用基于张量格林函数的体积分方程对三维异常体进行瞬变电磁响应的正演模拟，首先在频率域内计算电磁场分量的频率域响应；然后利用快速数字滤波技术将计算结果转换到时间域。

Direct volume rendering of scalar fields uses a transfer function to map the measured data to the colors and opacities.

在体绘制中传递函数将体数据转换成光学参数，因此体绘制的效果直接由传递函数决定。

The residual parts are surface integrations whose integrands are the products of the scalar Green's function and fields or their derivatives. The high order singularity of integrands in the integral equation is reduced to one order, making for program implementation.

剩下的部分是关於标量Green函数与场强值或与它们的一阶导数值乘积的面积分，这样积分方程的被积函数高阶奇异性被降到一阶，有利於计算机的程序实现。

While the standard Airy function, used frequently in the uniform asymptotic formulas for classical orthogonal polynomials, behaves like the exponential function on one side and the trigonometric functions on the other side of an extreme zero,the q-Airy polynomial behaves like the q-Airy function on one side and the q-Theta function on the other side.

在经典正交多项式的一致渐近公式中我们通常要用到Airy函数，这个Airy函数在一个极端零点的一边表现为指数函数，另一边又表现为三角函数。同样地，q-Airy多项式在一边表现为q-Airy函数，另一边又表现为q-Theta函数。

This paper compares periodic set with almost periodic set, and properties of periodic function with that of almost periodic function through analysing the definitions of periodic function and almost perodic function, and then draws some important conclusions.

利用周期函数与概周期函数的定义，把周期函数的周期集与概周期函数的概周期集进行了比较，把周期函数与概周期函数的性质进行了比较，并得出一些重要结论。

Go to your desktop and right click in a blank space.

请到您的桌面，然后右击一个空白。

Tara appears in Buddhism, Jainism, and particularly, Tibetan Lamaism, as a complex array of manifestations: goddess of ascetism and mysticism, mother creator, protectress of all humans as they cross the sea of life.

度母出现在佛教，耆那教里面，尤其是西藏的喇嘛教，作为一系列的陈列阵容；神秘的女神，创世之母，人类横过生命之海洋的女性保护者。