查询词典 gradient of scalar field

Through presentation and discussion of traditional wavelet construction with lifting scheme, the multiwavelet construction with lifting scheme is introduced. The extension of Vetterli-Herley theorem under multiwavelet condition is overall proved in detail. Based on equivalent scalar filters banks, a kind of multiwavelet construction with lifting scheme and corresponding theorem are proposed.

通过介绍基于提升格式构造传统小波的内容，引入基于提升格式构造多小波的研究，对Vetterli-Herley定理在多小波中扩展进行详细全面地证明，提出了一种基于等效标量滤波器组的提升格式构造多小波的实现框架和定理，并通过实例验证该方案的可行性。

The comparisons between nitrogen oxides predictions and measurements were made,and the influence of Reynolds number, scalar dissipation and flamelet time on the formation of nitrogen oxides was discussed.

将氮氧化物的计算结果和实验数据进行了比较，并探讨了Reynolds数、标量耗散和火焰面时间对氮氧化物排放的影响。

Nitrogen oxides emission is numerically simulated with the joint-scalar PDF method and the Eulerian unsteady laminar flamelet model in order to investigate influence of combustion models on the formation of nitrogen oxides. Comparisons between numerica...

计算结果和实验数据的比较表明，采用概率密度函数方法计算化学反应可以得到更好的结果但计算量较大，而用火焰面模型求解计算量较小，在接近完全燃烧的情形下，其计算结果比较合理。

As the first attempt, this paper applies the laminar flamelet model to the typical diffusion combustion in diesel engines. A database of the laminar flamelet for a DI engine is built up in the phase space of the mixture fraction with the scalar dissipation rate as parameter.

以KIVA-3程序为基础，摒弃其原有的化学反应模型，模拟内燃机缸内多维湍流流场，并补充求解混合分数的时均值及其脉动均方值的湍流输运方程，得出各曲轴转角下混合分数的时均值及其脉动均方值的缸内空间分布。

Base on the turbulent shoot non-premixed combustion of methane/air, make a coordinate transform on flame for reactive scalar equation, build laminar flamelet model for two dimension steady state non-premixed turbulent reacting flows.

以甲烷／空气的湍流射流扩散燃烧为基础，对通用的反应标量方程在火焰面上进行坐标变换，建立二维稳态湍流扩散火焰的小火焰模型。

Using scalar diffraction theory, Fresnel diffraction and the realization of Fraunhofer diffraction of light waves of wave-front propagation and the application of digital holography to help.

详细说明：采用标量衍射理论，实现菲涅尔衍射和夫琅禾费衍射，对光波的波前传播和数字全息的应用有帮助。

In chapter 4, sufficient conditions of at least one, two and multiple positive periodic solutions to a scalar functional differential equation with muti-finite delays are obtained by using a fixed point theorem introduced in [27] and [85] which is different from the one of a cone compression and expansion of norm type. It generalizes and improves some related results in the literature.

第四章利用文献[27]和[85]中所给出的不同于范数型锥压缩和拉伸的不动(来源：bc1cbcABC论文网www.abclunwen.com)点定理得到了具有有限时滞纯量泛函微分方程至少存在一个、两个和多个正周期解的充分条件，推广并改进了已有的相关结果。

Thus the new model can also be viewed as an interesting extension of TV functional from scalar space to vectorial space.

所以新模型也可以看成是TV泛函从一般的纯量值空间到向量值图像空间的有意义推广。

He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues.

然后，他开始与线性方程组，矩阵和高斯消去的讨论，并着手讨论向量空间，线性映射，标产品，决定因素和特征。

Both theory analysis and simulation results illustrate the validity of the general scalar chaotic signal synchronization system and its controller.

理论分析和计算机仿真结果均证实了通用标量混沌信号同步系统及其控制器的有效性。

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。