查询词典 functions

In the literature in China, most of the related work in biochemical engineering are experimental models based on the lab data, which are hard to explain the nonlinear oscillatory phenomena, and most of the work in biomathematics consider the yield functions as constant, linear functions, or some special cases of our general function.

工程界对于连续发酵的非线性振荡方面的研究大多是采用从实验数据归纳出来的经验模型，很难反映过程的本质；生物数学界有关这方面的模型，其中的函数大多数是文的特例。

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

In this paper, we study the rate of convergence of Durrmeyer-Bézier Operaters for functions of bounded variation f and obtain a accurate estimation of coefficient. Our result improves the result of Zeng by making use of probable property of basic functions.

在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0，1)上收敛于 1/(a+1f+a/(a+1f 的收敛阶进行研究的基础上，利用基函数的概率性质等方法，对其所给的Durrmeyer-Bézier算子收敛阶估计结果作进一步的改进，得到其收敛阶的精确估计。

The study developed a integrated mapping application in C/S(client/server) developing module using the integrated technology of PowerBuilder and Mapinfo, and realized the integrated management of the texts and maps of the forestry second kind survey data. The application has the abilities of managing analysis with data acquired in different periods at the same time. It also has the functions of data edit, data query, and data update. It has some spatial analysis and map edit functions of MapInfo as well.

本项研究使用PowerBuilder和MapInfo集成开发技术开发了C/S开发模式的集成的地图应用程序；实现了林业二类调查数据的图文一体化管理，具备多期数据同时管理分析的功能，以及数据的编辑、查询、更新等功能，并具备MapInfo的部分空间分析和图形编辑功能。

By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数的方法，将两相材料倾斜裂纹问题归结为以裂纹表面位错密度函数为未知量的 Cauchy型奇异积分方程的求解。

By using the Muskhelishvili complex methods, the issue of interaction between bimaterial incline crack s was reduced to solve the Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数方法，研究两相材料中两根倾斜裂纹应力强度因子的相互影响，将问题归结为求解一组 Cauchy型奇异积分方程，对倾斜裂纹端点的应力强度因子作了数值求解。

The modified double weight function method is to introduce new weight functions doing subtraction between two negative exponential-type functions. For a Pearson type three probability distribution, the MDWF is able to make estimations of the Standard Deviation and Coefficient of Skewness C(subscript S from the second-order weighted central moments reduced to the first-order weighted central moment estimations.

修改的双权函数法是将两个负指数型函数之差所构成的函数类取作权函数，对于皮尔逊Ⅲ型分布，它能使σ和Cs的估计由原权函数法的二阶加权中心矩降低为一阶加权中心矩估计。

The formulas calculating higher derivatives of parametric functions and composite functions are given by the chain rule and the product formula for derivatives.

用函数的链式法则和乘积公式给出了参数函数和复合函数的高阶导数的计算公式。

XK4M series edge-blending processor possesses all the processing functions for the image blending, mainly including the functions such as automatic generation of blending strip, characteristic processing of the blending strip, chromatic aberration matching of the adjacent projecting equipments.

XK4M系列边缘融合处理器具备了图像融合所需的所有处理功能。主要包括融合带的自动生成、融合边带的特性处理、相邻投影设备的色差匹配等功能。

Through above study, the theoretical analysis of the inherent fault tolerance of feed-forward neural networks has been extended from hard-limit activation functions to differentiable activation functions; 2. By using above method, fault tolerance of discrete Hopfield feedback neural networks have been also analyzed. It means that the above method can be applied not only for feed-forward neural networks but also for feedback neural networks; 3. For the feed-forward neural network with the Sigmoid activation function, Chebyshev Inequality method was presented.

这项研究将以前仅限于对硬限幅作用函数前向神经网络固有容错性能的理论分析推广到具有可微作用函数的前向神经网络； 2 针对离散型Hopfield反馈神经网络，利用上面提出的方法，对其同样进行了容错性分析，得出许多有用的结论和计算公式，说明上面提出的方法不仅适用于前向神经网络，同时也适用于反馈神经网络； 3 针对具有Sigmoid作用函数的前向神经网络提出了一种切比雪夫不等式法。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。