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From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通过我们的结果可以知道,基于第一类Chebyshev多项式零点的Lagrange插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差弱等价于相应的最佳逼近多项式在1-重积分Wiener空间下的平均误差,并且作为形式简单且恢复函数为多项式的一种信息基算法,其在1-重积分Wiener空间下的平均误差弱等价于相应的以函数值计算为可允许信息算子的最小平均信息半径。

A piecewise linearization data fitting method based on least square principle is used to set the relation function between measuring value and real value,which is then applied to calibrate the channel error in a new multi-calibration method,namely,amplitude calibration,phase calibration and amplitude-phase relation calibration method.

分析了电力线路工频参数测量装置中相差测量对阻抗测量精度的影响,在此基础上提出将基于最小二乘原理的分段线性数据拟合方法应用到装置通道的校准中,实现包括通道幅值、相差及幅值-相差关系的多重校准的新方法。

Based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm γ-2 of state feedback H∞ control is shown to be the fundamental Rayleigh quotient eigen value in structural vibration or Euler stability problems.

文摘:根据结构力学与最优控制的模拟理论,指出状态反馈H∞控制黎卡提方程中的最优参数γ-2,实质上就是结构振动或稳定理论中的瑞利商最小本征值。

The mechanism of the reaction was studiedin detail,in which excited state avaliable to carryout the excited state intramolecular proton transferreaction was recognized.The INDO/S-CI semiempiricalMO method was used to calculate transition energiesand oscillator strength,and assign spectra theore-tically,the calculated spectra values were basicallyconsistent with the experimental values.Themolecular orbital properties for the adjacent HOMO-LUMO of various kinds of conformersand anion species,thetransition properties and symmetry for thetransition from ground state to lower excited stateswere analysed,especially,no much study on theanion species all of the world.

位能曲线的求法满足反应坐标是反应过程中能量最小途径的定义,较详细地研究了各类反应的质子转移历程,认定在哪个激发态有利于发生激发态分子内质子转移反应,用INDO/S-CI半经验MO方法进行跃迁能和振子强度计算及光谱的理论指认,计算的光谱值和实验值基本吻合,并分析了各种异构体和阴离子的HOMO-LUMO附近的轨道性质,各跃迁态的跃迁性质和对称性,尤其是对阴离子的研究国内外尚不多见。

Jacobian Davis iterative method of solving equations AX = B, least squares polynomial fitting, portfolio Simpson formula for integration, with a triangular decomposition method of solving equations AX = B.

拉格朗日插值多项式拟合,牛顿插值多项式,欧拉方程解偏微分方程,使用极限微分求解导数,微分方程组的N=4龙格库塔解法,雅可比爹迭代法解方程AX=B,最小二乘多项式拟合,组合辛普生公式求解积分,用三角分解法解方程

Under current futures prices are unbiased, different hedge ratios are the same as the minimum variance hedge ratio.

在期货价格趋势是公正的情况之下,在不同定义的风险指标的期货避险值是同等於风险指标在变异数情况最小的避险值。

He correspondence between two point set surfaces was established based on the deformation gradient and the moving least square method. The deformation gradient was decomposed into a rotation and a stretching component with the matrix polar factorization. Then each component was interpolated in dividually over the time. Shape interpolation was implemented through a global quadric energy optimization.

基于该变形梯度以及移动最小二乘方法建立了源点云与目标点云之间的对应关系;将变形梯度进行矩阵极分解,对分解后的各分量分别进行插值,再通过一个全局的二次能量优化实现点云曲面的形状插值。

Tension setting value to be accurate, letoff overprinter students'rooms's smallest tension values prevail.

张力设定值以能套印准确、收卷整齐的最小的张力值为准。

Insufficiently flexo printing process for formulating process on the basis of specific criteria, such as the smoothness of the paper, ink roller parameter, the gray balance data to determine the seihan process; in business card printing and membership card manufacturing process, because the Ink viscosity, xerotic were affected by pH, firmwith pH control ink; taking into account the flexographic business card printing and membership card making serious than dot gain, offset printing with offset printing, you must set the business card printing and membership card making pressure adjustment to the minimum.

在烟包柔印工艺的制定过程中,要根据具体的工艺条件,诸如纸张的平滑度、网纹辊参数、油墨的灰平衡数据等确定制版工艺;在制卡和会员卡制作过程中,由于水性油墨的黏度、干燥性均受到pH值的影响,因此要严格控制油墨的pH值;考虑到柔版制卡和会员卡制作网点扩大比胶印严重,同胶印一样,必须将制卡和会员卡制作压力调整到最小。

According to the method, model dimension is contracted to five by the way of selecting the unit in which amount of I/K is m inimal. Then sensitivity of frequency to stiffness is calculated. After the diff erence between measured frequency and calculated frequency have been got, the ad justed amount of stiffness is calculated by the using of the sensitivity and the frequency difference.

该方法按照I/K最小优先合并原则,将轴系模型自由度数缩聚为5,分析该模型4个刚度对前4阶频率的敏感度,算出实测的前4阶频率和模型计算频率之间的差值,利用敏感度和频率差值计算出刚度的调整量。

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