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The existence theorem of solution of approximate problems is obtained.

我们考虑了一类广义似变分不等式系统的数值解,提出和SGVLIP相关的逼近问题,证明了逼近问题解的存在性。

The study of direct and inverse theorems on the approximation of linear operators to functions in normed linear spaces is an important subject in the approximation theory. It is significant in theory and application.

线性算子对赋范线性空间中函数逼近正逆定理的研究是逼近论中重要的研究课题之一,在理论和实际应用上都具有重要的意义。

This dissertation first presents a simple introduction of some important basic problems ofoperator approximation theory,and history and research status of wavelet theory.

全文首先介绍了算子逼近理论的一些重要基本问题以及小波理论发展的历史和现状,指明了线性正多项式算子逼近收敛阶的受限性。

This algorithm firstly translates arbitrary parameter curves into the piecewise cubic-degree Bezier curves, then using the properties of Bezier curve we can get the tangent vector and the normal vector of every point on the approximation curve, and calculate the approximating offset curve.

此算法先将任意形式的参数曲线转化成分段三次Bézier曲线,利用Bézier曲线的性质容易得到逼近曲线的切向量和法向量,从而计算出其等距逼近曲线。

The structrual characterizations of symmetric arrowhead matrices are discussed and the general expressions of solutions are obtained.

并且还讨论了相应的最佳逼近问题,给出了最佳逼近解的表达式及求解的数值算法和算例。

Inspired by the wavelets,we introduce the concept of geometric wavelets.We transform the compression into a best uniform approximation which is familiar to us in mathematic,we approximate the signal with polynomials.

受小波方法的启发,我们引入了几何小波的概念,将压缩问题转化为逼近理论中熟知的最佳一致逼近问题。

The major subjects in the approximation of operators are to study the convergent property of a sequence of linear operators, the quantization of its convergence rate and the saturation results in the theory of approximations.

算子逼近论主要是研究线性算子列的收敛性质,收敛速度的量化以及逼近论中的饱和现象。

Main feature of this paper to use cubic Hermite function, for obtain the closed value and convenient of calculation , choose cubic spline function when the differential coefficient of calculating, two methods make good result of approaching to combine together.

本文的主要特色是引入三次埃尔米特函数,为了使求值结果更为逼近和计算简便性,在求解的过程中又选择了三次样条函数,两种插值方法相结合使得到的结果更为逼近真实值。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解,证明该逼近解的一致收敛性。

Finally, to explain the advantage and shortcoming of nonparametric analysis and parametric analysis, and introduce some main shapes of nonpametric regression model: Fourier series, kernel estimators, and spline smoothing. In the meantime, we give the approximate theory and approximate distribution theory of these methods.

阐述了非参数回归分析和参数回归分析的优缺点,介绍了非参数回归模型的几种主要形式:富氏级数,核估计量和样条平滑,给出了这些方法的逼近理论和逼近分布情况。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。