一类单叶解析函数族。
该算法基于一个近似于光滑函数族的精确的罚函数。
The algorithm is based upon an exact penalty function that is approximated by a family of smooth functions.
此方法对于其他函数族在相关问题的研究上开辟了新途径。
This opens up a new way for researching related problems of some other classes of functions.
对函数族的包含关系及a级负系数调和凸函数族进行了一些研究。
Also, we has studied the inclusion relations to the class of analytic functions and harmonic univalent functions with negative coefficients.
对以幂函数族和以正交函数族为基底的最小二乘曲线拟合法作了对比分析。
The least-squares curve fitting methods based on power functions and orthogonal functions are analyzed and compared.
用初等方法得到单叶函数族S中函数平均模数有关的一个较精密估计，改进了现有结果。
In this paper, applying a certain elementary methods, we obtain a more precise estimation related to the mean modulus of the univalent functions in class S. Thus the old result is improved.
然后讨论了构建稳健支撑向量机的代价函数所需的性质，并在此基础上，引入了损失代价函数族；
Second the properties which a cost function should have in order to construct a robust support vector regression are discussed. Then a family of cost functions is introduced.
给出了分段线性函数族的定义和有关的运算性质，利用这些性质得到直接求解变分问题的一种新的数值方法。
The definition of the Segmental Linear Functions and some operational properties are given. By means of the properties, a new numerical method for direct solving variational problems is obtained.
在正规族方面，主要探讨了分担一函数的亚纯函数族的正规性，得到了相应的正规定则，推广了当前的结果。
Concerning normal families of meromorphic functions, normal families with sharing values has mainly discussed. And some results are obtained which generalize and improve the present result.
为使模糊屈服面明朗化，文中引入了与模糊集截集相应的模糊屈服函数族。并巧妙地将隶属函数和屈服函数联系起来。
Fuzzy yield functions corresponding to he cut-set of fuzzy sets are introduced for the obviousness of fuzzy yield surface, and the membership function is ingeniously related with yield function.
它与DB 2家族之间实现的posstr函数相似但不相同。
It is similar to, but not the same as, the POSSTR function that is implemented across the DB2 family.
采用一族能较好地逼近弯剪型变形曲线的正交多项式作基函数来描述位移沿竖向变化。
The orthogonal polynomials approximated to shear-moment deformation curves were employed as the basic function to describe the displacement variation along the vertical.
首先利用非对称的LINEX损失函数对双指数分布族刻度参数进行了经验贝叶斯估计，并讨论了该估计的性质，给出了收敛速度。
First, we obtain the empirical Bayesian estimator of the scale parameter for the double exponential distribution based on LINEX loss function and the convergence rate of the estimate.
在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。
In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.
指出用三次样条插值函数法只能解决由一组曲线族组成的图表处理问题。
The use of cubic spline interpolation function method can only solve the processing problem of nomographs consisting of one family curves.
本文研究了正规族和正规函数。
This thesis studies the normal families and normal functions.
讨论了解析函数子族的积分变换，相应地给出了一类近于凸积分算子的某些结果。
In this paper, integral transforms of functions belong tot he class are investigated, some results of a close to convex integral operator are given as well.
本文引入了某族定义在单位圆内的解析函数。
In this paper we introduce certain class of analytic functions defined in the open unit disc.
对指数族非线性随机效应模型，本文首次利用Q函数进行统计诊断。主要创新性研究成果如下。
Q function have been used to study the statistical diagnostics for the exponential family nonlinear models with random effects.
小波由一族小波基函数构成，它可以描述信号时间(空间)和频率(尺度)域的局部特性。
By the family of wavelet basis function of wavelet Composition, it can describe the signal time (space) and frequency (scale) domain of the local characteristics.
利用键参数函数和尺寸因数对第四长周期过渡族金属元素基准晶形成规律进行研究。
Bond-parametric function and size-factor are used to study the formation law of alloy quasicrystals based on the fourth long period transition metals.
利用不同的完全非线性函数，可以得到不同的并且具有最优汉明相关性能的跳频序列族。
Based upon different perfect nonlinear functions, different frequency-hopping sequence families with optimal Hamming correlation property could be obtained.
利用不同的完全非线性函数，可以得到不同的并且具有最优汉明相关性能的跳频序列族。
Based upon different perfect nonlinear functions, different frequency-hopping sequence families with optimal Hamming correlation property could be obtained.
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