研究得最早的自导函数是椭圆模函数。
The earliest automorphic functions to be studied were the elliptic modular functions.
本文建立了一组与椭圆模函数密切相关的不等式。
A set of inequalities which are related closely to the elliptic modular function will be set up in this paper.
信号的局部能量和瞬时频率都可以从其本征模函数中推导出来。
The local energy and instantaneous frequency of the signal can be derived from the IMFs.
提出了多维约束下下模函数最大值问题，分析其在组合优化中的重要应用。
The problem of maximizing a submodular set function with multiple constraints is considered, which has important application in combinatorial optimization theory.
空谈形成一种从经典数论解释在怪物有限群和模函数之间的神秘的连接的方式。
Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory.
在筛选过程中，插值是产生本征模函数关键的一步，是希尔伯特谱分析的基础。
In the course of filtration, interpolation is the essential step to produce the intrinsic mode functions, and the basis of the Hilbert spectral analysis.
在这标准材料之后，作者前进给省略功能和给最全部包括一的味道这个领域的美丽结果的省略模函数。
After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field.
首先利用EMD方法对NYMEX市场的原油期货价格进行分解，得到一系列平稳且具有较强周期性的本征模函数(IMF)和一个趋势项。
First we employ EMD method to decompose the crude oil prices in NYMEX, and obtain a series of intrinsic mode function (IMF), which are stationary and of strong periodicity, and a trend term.
文中分析了回波信号以及其共轭信号的FRFT幅值特性，并利用此特性提出了一种基于共轭FRFT模函数对消的海面运动目标检测方法。
In the paper the amplitude characteristic of echo signal and its conjugate signal are analysis, based on that a detection method based on conjugated FRFT in sea clutter is proposed.
也就是说，如果朝该方向运动，函数值变动得最剧烈，那么相应的斜率就是梯度向量的模长。
OK, so if I go in that direction, which gives me the fastest increase, then the corresponding slope will be the length of the gradient.
科学计算，加、减、乘、除、开方、平方、三次方、三角函数(sincos tan)、阶乘、求反、取模等。
Scientific calculator supporting addition, subtraction, multiplication, division, square-root, square, cube, sin, cos, tan, Factorial, inverse, modulus.
波函数的模平方正比于体系处在其位形空间各个点的几率密度。
The square modulus of the wave function is proportional to the probability density of finding the system at each point in the configuration space.
在综合大量实例的基础上，提出双高斯函数逼近多模光纤的光脉冲输出的解析近似方法，使时域法确定光纤带宽的精度大为提高。
On the base of a plenty of facts we suggested a method in which bi-Gaussian form is approached the output pulse in multimode fibers The accuracy measuring band in time domain can be improved highly.
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.
在设计控制系统时，滑模控制滑模面通过最小化最优价值函数得到，控制器采用饱和控制器。
In the process of control design, the sliding surface of sliding mode control is determined by minimizing the optimal cost function, and the controller is the saturation controller.
分析了圆柱形波导气体激光器中的耦合损耗，给出了最低阶波导模EH11的耦合损耗与反射镜位置、曲率半径的函数关系。
This paper analyses the coupling wastage in columniform wave guide gas laser, and gives the function between the coupling wastage of laser guide modulo EH11 and the position and radius of reflector.
根据这个表达式，只要给定介质波导的本征模，就可以得到该波导的并矢格林函数。
From these expressions the dyadic Green's function for a dielectric waveguide can be obtained if the eigen-mode of the waveguide are given.
方法采用两个不同态的密度算符距离函数方法，从理论上研究两个不同多模奇相干态光场之间的距离。
Methods the distance between two different multimode odd coherent state light fields was analyzed theoretically by the method of distance functions of density operator.
函数设置目标的每个颜色分量为源值的模。
The VI sets each color component of the destination value to the magnitude of the source value.
对于轴对称任意径向分层的完全非均匀介质，建立了求解静场问题数值模格林函数的理论及高效计算方法；
The theory and high efficient algorithm is set up to obtain the numerical mode Greens function for static steady field problem in arbitrary cylindrical layered media.
应用分式化方法刻画了唯一分解环上对称矩阵模的保持伴随函数的线性变换的形式。
By the fractional method, characterized the linear preservers of the adjoint function on the symmetric matrix module.
如果只考虑磁扰动的贡献，不同值的振动模的频率变化仅只是涨落磁场能谱的函数。
For the magnetic perturbation contribution, we obtain the frequency shift of modes with different degree as a function of the spectrum of fluctuating magnetic field.
这种利用多模腔的设计也具有准椭圆传输函数特性。
The new designs utilize over-moded cavities and also exhibit pseudo-elliptic transfer functions.
导出激光谐振腔自再现模的波型函数。
The eigen function of self-reproductive mode in laser resonator is derived.
摘要最大模原理在复变函数论中占有重要的地位，是研究解析函数的有力工具。
Maximum modulus principle plays an important role in the complex analytics, and it is a powerful tool in studying the analytic function.
首先求得了它们的固有函数系，并推出了这些固有函数系的模值计算公式。
We first obtained their systems of. eigenfunctions, and derived formulae for modular calculation of these systems of eigenfunctions.
推导出了双转子机构抛光模在露边时的去除函数修正模型，为解决加工过程中的边缘效应问题提供了理论基础。
The amendment model of the removal function is set up. Theoretical basis is given for solving the edge effect problem.
为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。
For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.
从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。
This paper uses several methods of complex functions theorey to prove fundamental theorem of algebra by argument principle, maximum modulus principle and minimum modulus principle.
在积分滑模控制与非线性微分控制中，分别给出了切换函数、非线性微分系数及控制器的设计方法。
Present the design method of switching function in integral sliding mode control, nonlinear derivative coefficient and controllers of DI-SVSC respectively.
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