利用建立不等式的降维法，证明了一组对称函数的不等式。
By means of the method of descending dimension for establishing inequalities(see theorem 1 and its corollaries), This paper proves a class of inequalities for symmetric functions.
作为应用，文中还进一步估计化分段拟对称函数为整体拟对称函数的偏差。
As an application, sharper research also made on piecewise quasi-symmetric function that can be extended into the whole one.
单位圆上的拟交比同胚和拟对称函数，都是拟共形映照边界值的一种几何表征。
Quasihomographies and quasi-symmetric function on the unit circle are geometric characterizations of boundary value of quasi-conformal mapping.
该方法不是采用传统方法，而采用对象非线性特性函数的对称函数作为校正函数。
This method don t adopt traditional method, it USES the symmetric function of the object non-linear function of characteristic as the calibration function.
本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式。
In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
构成这些正交幂等系统的类对称算符，是构造对称函数的基础工具之一，其在对称设计中扮演着重要的角色。
The class idempotent function composing systems of orthogonal idempotents is one of the fundamental tools in constructing symmetry functions and it plays an important role in symmetry designs.
如果一个度量在它的聚合列表中有多个聚合函数，那么这个度量就是非对称的度量。
If a measure has more than one aggregation function in its list of aggregations, then the measure is an asymmetric measure.
然后我将一个新的集合附加至由factor列表中的map函数生成的factor上，应用此代码生成对称的(平方根上方匹配的因子)列表。
I then append a new collection onto factors - generated by the map function on the factors list - applying the code to generate the symmetrical (the matching factor above the square root) list.
把波函数画成一个圆是有道理的，因为我们知道1s轨道是球对称的。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
然而，该函数的简单二维密度绘图马上给我们一种清晰的感觉，那就是在原公式中包含的简单而漂亮的对称结构。
However, a simple two-dimensional density plot of this function immediately gives us a good feeling for the simple and beautiful symmetry contained in the original formula.
要求对称波函数的粒子，如介子，叫做玻色子。
Particles, such as pi-mesons, requiring symmetric wave functions are called bosons .
文中利用对称相关函数理论，分析了抵消平稳随机过程中与信号不相关的加性随机噪声的机理，并应用于线谱信号检测。
The theory of symmetrical function is used to suppress additive stationary random noise; assumption is that the signal and the noise are mutually uncorrelated.
单极本征函数在不同动力学0(2,1)基底中的代数规律性表明径向相空间的对称性。
The algebraic regularity of monopole eigenfunctions in various dynamical0 (2, 1) basis shows the symmetry in radial phase space.
通过对波函数的分析，研究了这些核中的混合对称态。
The mixed symmetry states are investigated in these nuclei by analyzing the wave functions.
由于政策性负担不仅产生了软预算约束问题，影响委托人的效用函数，而且加深了信息不对称程度，导致经营者追求灰色收入。
The policy burden not only bring soft budget constraint to affect the principal′s utility function, but also cause the problem of asymmetric information that induces managers to seek gray income .
在第三章中，我们利用格林函数方法研究了非对称的双量子点分子的谱性质和电子输运性质。
In chapter three, we study the spectral properties and electronic transport properties of asymmetrical double-dot molecule using causal Green's function approach.
如利用的是整个大圆的积分，得到的是球面上任何点及其对蹠点上函数的平均值，或者说得到的是球面上函数的偶对称部分。
If the whole integrals on the great circle are used, the average of the function values for any point and its antipodal can be obtained.
最后导出了对称梯形网络和RC梯形网络电压转递函数的表达式。
The expression of voltage transfer function of symmetrical ladder network and RC ladder network will finally be attained.
从结果来看，不同的静态球对称时空其径向方程因视界函数的不同而不同，而角向方程则具有相同的的形式。
The results show that, the radial equations in different spherical symmetric spacetime would be different for different horizon functions, while the angular equations are expressed in a same form.
特别地，对称布尔函数已被证明了具有很高的代数免疫阶。
Symmetric boolean functions have been proved to be have high algebraic immunity.
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.
引进权函数使本方法简单地过渡到非对称问题。
A weight function is introduced to expand this method into asymmetrical region.
本文试图借助复变函数方法求解在面斜对称载荷下无限各向异性弹性介质的周期裂纹问题。
This paper attempts to solve the periodic crack problems of infinitive anisotropic media for plane skew-symmetric loadings by means of the method of complex function.
本文即选用对称插值尺度函数作为解空间的基。
In this paper, we use the symmetric interpolating scaling function as the basis for the resolution space.
仿真结果表明，该方法实现方便，精度较高，适合于各种对称窗函数，抗噪声能力强。
Simulation result shows that this method is easily carried out with high precision, applicable for all kinds of symmetrical window function and having high ability of anti noise.
仿真结果表明，该方法实现方便，精度较高，适合各种对称窗函数，抗噪声能力强。
Simulated result demonstrates that this method is easily carried out with high precision, suits for all kinds of symmetrical window function and has high ability of anti-noise.
本文讨论了在n维非对称的质量损失函数下，调整参数设计的可行性，求出了质量损失的最小解。
In the paper, Asymmetric quadric loss function is put forward under Normal assumption, adjustment parameter is defined, and its best value is calculated which minimizes the total quality lose.
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.
根据模糊目标函数与模糊约束函数的关系，模糊优化问题可以分为对称和非对称两种类型。
According to the relations between the objective function and the constraint function, the fuzzy optimization can fall into tow categories about symmetry and unsymmetry.
根据模糊目标函数与模糊约束函数的关系，模糊优化问题可以分为对称和非对称两种类型。
According to the relations between the objective function and the constraint function, the fuzzy optimization can fall into tow categories about symmetry and unsymmetry.
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