查询词典 generalized function

Code of drawing a map in Bessel Newmann function, WINDOWSthe generalized Bessel equation and the Hankel function.

并利用球Bessel函数与半奇数阶Bessel函数的关系计算了本征函数的模方。

A fixed point of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

In this thesis, we firstly introduce several class of discrete-time neural network models and the research progress of the neural networks. By Schauder fixed-point principle we prove the existence of an equilibrium (i.e. a fixed point) of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

Secondly, by the P-L estimation of survivor function, this paper proposed the regression models of polynomial cumulative hazard function distribution models, respectively in the case of complete date and random right censoring date; meanwhile generalized least squares estimations of unknown parameters were proposed respectively using two steps algorithm and principal component analysis algorithm.

与已有的关于多项式危险函数模型的研究成果相比，首先本文在统计模型的构造上充分考虑了累积危险函数乘积限估计量的非独立性，给出了协方差矩阵的估计；其次在模型检验方面，本文利用非参数回归分析方法，充分利用了数据本身的信息，减少了对回归关系假定的主观因素，因而分析结果更为可靠。

Secondly,concerning Kolmogorov model and generalized Kolmogorov model with variable harvesting rate,this paper utilizes Dulac function to judge the existence of the close path curve,Bendixson cycle region to judge the direction of path curve,and constructs Lyapunov function to judge the global stability,in order to fit the general models.

对于三维种群模型，讨论了一类具有功能性反应的三种群模型在具有收获率的条件下的定性性质。

Leading entropy into establishing model of assessment models of system risk, new type of fuzzy pattern recognized model is put forward based on entropy and least generalized distance square sum of weight and fuzzy synthesize judgement model of assessment matrix defined by subordinated function of sine or cosine function.

2将模糊熵引入系统危险性评价模型的建模之中，提出了基于模糊熵及权广义距离之和最小的新型的模糊模式识别模型。

Focusing on the problem of the nature of the high velocity surface acousticsmode,we investigate the standard of judging which a wave is a surface wave,present the Green function of a pseudo-SAWand a longitudinal-wave headwave,thus developing the theory for generalized Green's function of surfaceexcitation of a piezoelectric crystal,with the hope to systematize this theory.

本文围绕压电晶体半空间上的高速表面声学模式热点问题，对表面波模式进行了界定，又发展了压电晶体表面激发的Green函数理论，给出了伪表面波及纵波头波的Green函数，从而形成更完整的压电晶体表面激发理论系统。

For further criterion on the nature of the high-velocity surface-acoustic mode isPSAW or the high-velocity surface-head wave(or longitudinal-wave head wave)wedevelop,the established generalized Green's function theory for the surfaceexcitation The precise expression and its numerical results of Green's function forPSAW is presented,as the contribution of complex pole.

为了判定高速表面波动模式是伪表面波还是头波，对压电晶体半空间的普遍Green函数理论作了一些补充和深入的分析。

In particular, Stolarsky mean are generalized from two variables to n variables. Moreover,we make ωi become weight function to diversity the kinds of mean function. For the mean family, we discuss mean family with single parameter or multi-parameter .

此外还通过改变权w_i，使之成为权函数，从而使n元平均函数的形式多样化，在n元平均族中给出了单参数和多参数平均族，并讨论了具体的单参数的幂平均族和指数平均族，多参数的Dresher平均以及由此构造的另一种形式的双参数平均族。

Based on orthogonal function unfolding theory, the transverse fields can be represented as a superposition of waveguide modes. And according to coupled-wave theory, the time-dependent multi-mode coupling-wave equations (or the generalized telegrapher's equations) and the coupling coefficients among the different modes were deduced. The generalized telegrapher's equations are a set of coupled one-dimensional partial differential equations for the amplitudes of the modes.

应用正交函数的展开理论，将变截面波导中的电磁场表示为横电波和横磁波本征模式的级数；然后根据耦合波理论，推导了考虑波导金属壁有限电导率的变截面波导时域多模耦合波方程组及各模式间耦合系数的表达式。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。