1) generalized Dahlquist constant
广义Dahlquist数
1.
Avoiding the difficulty of constructing a proper Lyapunov function,the generalized Dahlquist constant approach is employed to investigate the exponential stability of Cohen-Grossberg neural networks model.
避免构造Lyapunov函数的困难,运用广义Dahlquist数方法研究了Cohen- Grossberg神经网络模型的指数稳定性,不但得到了Cohen-Grossberg神经网络平衡点存在惟一性和指数稳定性的全新充分条件,而且给出了神经网络的指数衰减估计。
2) lub Dahlquist constant
lubDahlquist常数
3) generalized derivative
广义导数
1.
This paper extends the derivatives of binary sequences of reference [1] in two different ways and defines two different generalized derivatives of binary sequences.
以两种不同的方式对文献[1]中的二元序列的导数进行了推广,定义了两类不同的二元序列的广义导数,并且进一步讨论了周期为2N和2N-1的二元序列的广义导数的性质,推广了文献[1]的结果。
2.
In this paper, we gave the generalized derivative definition of mapping at infinitely space and took the derivative intead of the Frechet derivative of smooth mapping.
本文对无穷维空间的映象给出了广义导数的概念 ,利用这种导数替代光滑映象的Frechet导数 ,给出了无穷维空间非光滑算子方程的阻尼牛顿法收敛域的一个定理 。
3.
Then the periodicity of the generalized derivatives of periodic binary sequences is studied and some properties of the generalized derivatives are provided.
给出了序列周期的另一类定义,研究了周期二元序列的广义导数序列的周期性,得到了周期二元序列的广义导数序列的一些性质,并进一步探讨了周期分别为2N和2N-1的二元序列的广义导数。
4) general dimension
广义维数
1.
Aiming at that the reciprocating compressor vibration signals are nonlinear and non-stationary,multifractal spectrum and general dimension are applied to analyze compressor vibration signals and extract fault feature which can be identified.
针对往复压缩机振动信号的非线性和非平稳性,使用多重分形谱和广义维数对压缩机振动信号进行分析,从中提取可识别的故障特征。
2.
The multi-fractals theory is applied for proposing the calculation formula of general dimension least square method.
运用多重分形理论,提出广义维数最小二乘法的计算公式,对实测的时域信号进行了广义维数计算,得到广义维数序列值,并从广义维数中获取盒维数、信息维数、关联维数以及敏感维数。
3.
The multifractal features are extracted from the vibration signals of different spots on reciprocating compressor using the improving arithmetic,the general dimension spectrum of bearing .
采用多重分形改进算法提取往复压缩机振动信号的多重分形特征,得到了轴承故障的广义维数谱。
5) generalized dimension
广义维数
1.
The generalized dimension and sensitive dimension of the vibration mode and displacement for the crack disk were calculated and analyzed by using multi-fractal theory.
运用有限元方法对裂纹圆盘进行了动态分析,获得了其振型和位移响应;应用多重分形理论计算和分析了裂纹圆盘的振型、位移响应的广义维数和敏感维数,把广义分形维数、敏感维数作为裂纹圆盘故障的特征量,对裂纹圆盘的裂纹诊断与识别进行了定性及定量研究;针对裂纹圆盘的振型、位移响应的广义维数,提出在局部范围内,用局部线性法对圆盘裂纹长度进行定量识别,得到了定量识别裂纹长度的计算公式,通过实例计算考查了裂纹长度的计算精度。
2.
Multi-fractal generalized dimension is put forward.
针对传统的分形维数作为图像纹理特征表示时缺少图像分布特征的不足,引入了多重分形的概念和广义维数,并对原图像和灰度差分图像重新提取了图像的纹理特征。
3.
The relevant properties of generalized dimension D q , mass index τ(q) , singularity α(q) and singularity spectrum f(α(q)) are derived rigorously, which are somewhat similar to those obtained from multifractals defined via Renyi information but more general in m.
研究了用配分函数法定义的多重分形理论中奇异谱的几何特性 ,通过严格的数学推理证明了广义维数 Dq、质量指数 τ( q)、奇异性指数 α( q)和奇异谱 f( α( q) )的有关性质 ,明确提出了判定合理奇异谱 f( α( q) )的准则 ,给出了在参数 q→±∞时计算相应函数极限的解析算法。
6) generalized function
广义函数
1.
The duality property of several kinds of generalized functions;
几种类型广义函数的对偶性
2.
This article using AHP to determine the weighting of index,using generalized function to nondimensionalize the value of index,then calcalute the systematic evaluation index.
采用层次分析法确定准则层和各单项指标的权重,通过广义函数法对各评价指标进行无量纲化来确定单个指标的评价值,最后根据各指标的评价值及其权重确定城市交通适应性评价值。
3.
First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced.
冲激(偶)函数类性质历来是《信号与系统》教学中的难点,也是学生不易理解的内容,为此,教学策略采用"三步走"的方法:首先与普通函数定义方法相比较引出广义函数定义和"两广义函数相等"的概念,继而用高等数学的微积分知识证明冲激(偶)函数类的"抽样"性质,最后以前两者为基础证明冲激偶函数的"筛选"性质。
补充资料：数不胜数
1.数也数不清。形容很多。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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