同时，还给出了几组完备的正交函数系。
Meanwhile, many important complete orthogonal function systems are obtained.
利用正交函数法研究了光子晶体光纤的模场特性。
The field characteristics of PCF are analyzed using the orthogonal function method.
若正交函数为复指数集，其系数正好是傅里叶系数。
The coefficients are Fourier coefficients to the moment when the orthogonal functions are complex exponential functions.
通过该正交函数模型，从理论上推导出了PCF的色散估算公式。
Using this orthogonal functions model, an approximate formula of dispersion in PCFs was deduced in theory.
本文提出了反射阵的概念，揭示了非正交函数谱分析的镜像对称性。
Thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non orthogonal function is revealed.
本文讨论了自然正交函数的优缺点，并将它用于我国梅雨天气分析。
In this paper, the advantages and shortcomings of empirical orthogonal function have teen discussed.
本文讨论了自然正交函数的优缺点，并将它用于我国梅雨天气分析。
In this paper, the advantages and shortcomings of empirical orthogonal function have teen discussed. This function was applied to the diagnostic analysis of "plum rains" in China.
利用全矢量正交函数模型对空气孔辅助光纤的模式截止特性进行了讨论。
Using full vector orthogonal function model of the auxiliary air hole pattern of cut-off characteristics of optical fiber were discussed.
本文报告了用正交函数法直接测定辅酶Q_（10）注射液含量的方法。
This paper reports that the content of coenzyme Q_(10) injection can be directly determined by orthogonal function spectrophotometry.
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.
计算结果表明：正交函数法适用于三角形微槽内滑移流动特性的分析计算；
The results show that the orthonormal function method is available to study the slip flow characteristics in the triangular microchannel.
采用正交函数算法，提出了一种新型椭圆孔光子晶体光纤的本地正交函数模型。
A novel model for light propagation in elliptical hole photonic crystal fibers (PCF) is developed with localized orthogonal function method.
本文首先阐述了正交、正交函数集以及完备正交函数集的概念，并进行了深入的探讨。
In this paper, we describe the conception of orthicon, orthogonal function set and completion of orthogonal function set conception and compared to them.
利用自然正交函数展开的前三个特征向量场及对应的时间系数将梅雨降水分成三类六型。
The Meiyu precipitation can be classified into three classes and six patterns by using the first three characteristic vectors and their corresponding time coefficients.
利用本地正交函数法，基于标量近似的理论对方形格子光子晶体光纤的特性进行了数值模拟。
Based on a scalar approximation, the properties in square-structured photonic crystal fibers are simulated numerically with localized orthogonal function method.
采用复经验正交函数(CEOF)方法分析了准40天振荡沿赤道和某些大圆路径传播的规律。
The regular patterns of the propagation of quasi-40-day oscillations along the equator and some great circle routes are analysed and revealed by a complex empirical orthogonal function (CEOF) method.
为了简化计算，选择正交函数作为基函数，并以油藏开发仿真为例，验证了模型和算法的有效性。
In order to simplify the algorithm, orthogonal functions are selected as base functions, and the effectiveness of the model and the algorithm is proved by simulation of oil reservoir exploitation.
介绍了采用正交函数法快速拟合通风机性能曲线的数学模型，通过算例验证了此数学模型的精确性和实用性。
The mathematical model based on orthogonal function as fan characteristic curve fitting is introduced and its precision and utility is validated through the calculating example.
将旋转经验正交函数（REOF）和谱分析和谐波分析相结合深入分析阿克苏河流域的降水量场的时间变化和空间分布。
Space-time distributing character of precipitation field in Akesu-river drainage-basin were studied by REOF, spectrum, and harmonic analysis.
本文采用自然正交函数分解法对我国南方地区的降水气候序列与夏季（5～8月）逐日降水序列进行时空特征分析和对应天气形势分析。
In this paper the climatology of the precipitation, the daily rainfall series of months 5-8 and the correlative weather systems are analysed.
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.
论述了基于正交多分辨分析理论的神经网的函数逼近。
This paper describes function approach of neural network based on the orthonormal multiresolution analysis theory.
总可以做到使得简并的本征函数是正交的。
It can always be arranged that degenerate eigenfunctions are orthogonal.
为简化模型的计算复杂度，开发了一种基于正交基函数展开的学习算法。
To simplify the calculation, a learning algorithm based on the expansion of the orthogonal basis functions is developed.
该文在考虑过程神经网络对时间聚合运算的复杂性的基础上，提出了一种基于函数正交基展开的学习算法。
In consideration of the complexity of the aggregation operation of time in process neural networks, a new learning algorithm based on function orthogonal basis expansion is proposed.
其次，证明了该尺度函数满足正交性﹑插值性﹑再生性。
Secondly, the scale function was proved satisfy orthonormal property interpolate property and reproducing property.
并对模态函数的正交性作了相关探讨。
Discussion is made about the orthogonality conditions of the modal functions.
构造的正交尺度函数和小波的两尺度方程中只包含4项，因而相应的分解和重构算法也只有4项。
There are only 4 terms in the corresponding refinement equations of the orthogonal scaling functions and the wavelets (and so do the decomposition and reconstruction algorithms).
构造的正交尺度函数和小波的两尺度方程中只包含4项，因而相应的分解和重构算法也只有4项。
There are only 4 terms in the corresponding refinement equations of the orthogonal scaling functions and the wavelets (and so do the decomposition and reconstruction algorithms).
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