A solution of Cauchy's problem of heat conduction equation is constructed with the concept of generalized function.
利用广义函数的概念构造出热传导方程柯西问题的解。
Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.
由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。
By using the generalized function in the linear array synthesis the direction diagram with approximate flat top in wide Angle region and with or without a single side lobe can be obtained.
将广义函数用于线天线阵综合，可得到广角近似平顶的方向图，亦可得到具有单一付瓣和无付瓣的方向图。
The Lagranges multiplier method is applied in this paper to set up a generalized function of dynamic analysis of the natural curved slender beams which have one built-in end and one free end.
应用拉氏乘子法，建立了一端固定、一端自由的自然弯曲细长梁动力分析的广义泛函。
By using generalized function, an accurate integration method is developed to get the explicit formulation of the matrixes involved. This can improve the accuracy and efficiency of the method.
利用广义函数给出了一种精确积分方法，可以得到有关矩阵的显式表达，得到提高了求解精度和效率。
Now, if the true function were Boolean or, then the perceptron would have correctly generalized from three training instances to the full set of instances.
现在，如果true函数是布尔或，那么感知器将从三个训练实例中归纳出所有的实例。
Now you'll create a more generalized concatenation function using the two functions Lisp is famous for: car and CDR.
现在您将使用两个著名的Lispcar和cdr函数创建更通用化的concatenation函数。
In the paper presents the predictive out of a new generalized predictive Control is corrected by the error predictive model based on a new excite function BP arithmetic.
本文提出基于新的激励函数BP算法建立误差预测模型，修正新型广义预测算法的预测输出。
Generalized support function is a very important concept in plane convex sets, it play a crucial role in discuss kinematic measure of convex sets.
广义支持函数是平面凸域的一个非常重要的概念，它在讨论凸域的包含测度问题中起关键的作用。
In this paper, We availed the property of geometic convex function generalized a kind of important sum inequality and obtained some new conclusions.
文章利用几何凸函数的性质推广了一类重要的和式不等式，得到了一些新的结论。
For every buttress a generalized coordinate and a shape function are assigned to describe its lateral displacement.
为了描述各支墩的侧向变位，对每个支墩都设定一个广义坐标和形状函数。
Using object oriented method the manufacturing system is abstracted and generalized, the function model and data model of the cell controller are established.
运用面向对象的分析方法，对制造系统进行了抽象和概括，建立了单元控制器的功能模型和数据模型。
In particular, we use generalized Green's function to prove that the high-order nonhomogeneous boundary value problem has a solution when the associated homogeneous problem has a nontrivial solution.
特别是利用广义格林函数证明了高阶齐次方程存在非平凡解的情况下对应的高阶非齐次边值问题存在一解的充要条件。
Methods of generalized mapping are used to realize the transformation from function model to modular structure model.
文中用广义映射的方法实现了从功能域到结构域的映射过程。
Further, the transform function for generalized fuzzy edge detection is constructed by GVLF.
进而，我们以GVLF构造出广义模糊边缘检测的变换函数。
Then the definition and probability expression of the generalized autocorrelation function of multi-output functions are given.
给出了多输出函数广义自相关函数的定义和概率表示式；
Fuzzy entropy is introduced to evaluate the enhancement effects and the characteristic of the sine membership function and generalized fuzzy enhancement operator is analyzed.
引入了模糊熵的方法来评价图像的增强效果，并对提出的正弦隶属度函数及广义模糊增强算子的特性进行了分析。
Thie relationship between divided difference and derivative of a function can be generalized for two functions which the knots are distinct or the knots are coincident.
在结点互异或结点重合时，将函数差商与其导数之间的关系式推广为关于两个函数的情形。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
When the vehicle vibrates, the ratio coefficients of the characteristics of components in fixed position and the corresponding characteristics of suspension are a function of generalized coordinates.
车辆振动过程中，实际安装位置的元件特性与悬挂特性的比例系数是广义坐标的函数。
For each discretized angular speed, the control law is derived from the generalized linear quadratic objective performance function including residual vibration measurements and imbalance correction.
针对每个离散角速度，依据影响系数法，采用包含残余振动值和校正不平衡的广义线性二次型目标性能函数推导出控制律。
The two - parameters weighted mean in defined and an inequality for two - parameters weighted mean of convex function is prove, they have generalized and improved the results in literatures.
提出了函数的双参数加权平均的定义，证明了一个凸函数的双参数加权平均不等式，加强和推广了有关文献中的结果。
Schiller had most properly generalized the anthropologic function of art that beauty is the second creator of human being.
席勒对美的人类学功能作了一个概括的说明，那就是：美是人的第二创造者。
In this paper, based on the orthogonality of sine function, a detection approach of generalized reactive current suitable for both the single phase and three phase active power filters is presented.
本文根据正弦函数的正交特性，提出了一种既适用于单相也适用于三相有源电力滤波器的广义无功电流检测方法。
So with the wide I/O linearization method of nonlinear reverse function, the generalized prediction control algorithm with dead area nonlinear compensation is suggested.
因此我们针对死区非线性特性，采用非线性逆函数的全局I/O线性化方法，提出了具有非线性补偿的广义预测控制算法。
The stability of multivariable nonlinear control system is discussed in connection with the generalized frequency response function matrix.
基于广义频率响应函数矩阵，讨论了多变量非线性系统的稳定性问题。
An integral property of the convex function is generalized, and the some integral inequalities of the convex function are given.
给出了凸函数的一个积分性质的推广，并由此得到了凸函数的几个积分不等式。
The generalized power function is introduced and the reduced Lagrange equations are used in the analysis of complex circuits and Electromechanical systems.
本文引入广义功率函数和简化拉格朗日方程，并用来分析复杂电路和机电系统。
The relativistic generalized kinetic energy function for the rotational systems is brough in.
引入转动系统的相对论性广义动能函数；
In this paper, a novel unconstrained cost function for the generalized eigen-decomposition is presented and the properties of the cost function are analyzed.
本文提出了一种新的无约束损失函数用于广义特征分解，并且分析了损失函数的特性。
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