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Our results generalize and improve some existing ones because our method abandons the typical assumptions on boundedness, differentiability and monotonicity of activation functions.

由于我们的方法去除了关于激活函数的有界性、可微性和单调性的常用假设,因此我们的结果是某些现有结果的推广和改进。

Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.

介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法,指出了有关文献中推导过程的不

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上,为了避免使用无限区域上的 Green公式,通过构造紧支集上的无穷可微函数,获得满足非齐次控制微分方程的特解的重要结果。

Using the method of approximating the Lipschitz functions by the convex functions, we give a sufficient condition for the set where Lipschitz functions on a Hilbert space are Frechet differentiable is a residual set.

我们利用Lipschitz函数空间中凸函数的逼近性质来分析Lipschitz函数的微分性质,得到Hilbert空间上Lipschitz函数的Frechet可微点集是剩余集的一个充分条件,以标题"Lipschitz函数与凸函数之间的一些联系"在中国科学杂志上发表。

It points out that for all the complex flows under some great non-equilibrium forces, the preconditions to make an infinitesimal analysis over all the fluid field according to a set of differential equations will not exist.

指出对于存在极大力学不平衡的复杂流动,在整个流场依靠一个同一化的微分方程组,进行解析分析的连续可微逻辑前提是不存在的。

These constructional methods can be used to treat many problems, the numerical results show that the given interval extension has smaller excessive width relative to the range of the functions over a domain. For univariate differentiable functions, the definition of interval slope is extended from the first order to high order according to their differentiability, and iterative formula of high-order interval slope computation is also developed.

对多元函数,在不要求函数的可微性及有关Lipschitz常数的条件下,给出了分量函数区间展开的斜率算术运算规则;利用函数局部凸或凹的运算特点,通过递归计算建立了多元函数区间扩张的构造方法。

They are involed of intracellular movements in plant and animal cells.

细胞骨架的大部分主要是由可收缩的蛋白肌动蛋白组成的细长的微丝。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述,同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

Auditory Brainstem Response, ABR (or Brainstem Auditory Evoked Potentials, BAEP) is a human body physiology parameter at microvolt level. First, we use the TMS320F2812 of TI company, making the signal through D/A transform and high accuracy operational amplifier, and produce the masking white noises, as well as the Tone Burst to be the stimulus. Then, the evoked EEG will be amplified and filtered. At the same time, we use the A/D of TMS320F2812 to collect and process the signals, and get the digital BAEP.

听觉脑干诱发电位(Auditory Brainstem Response,ABR)为微伏级人体生理参量,采用TI公司的DSP TMS320F2812,通过D/A与高精度运算放大器,生成听力级可调整的掩蔽白噪声与短纯音TB进行刺激,同时对诱发脑电进行放大、滤波、并使用TMS320F2812的A/D进行信号采集与处理,得到数字化的脑干诱发电信号。

These networks are generalized without assuming the boundedness, monotonicity and differenciability of the activate functions.

在放松神经网络的激活函数的有界性、单调递增性和可微性的条件下,得到了神经网络的全局渐近稳定的条件。

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