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By using these new recursive relations, we establish the new algorithm in the form of both symmetric and antisymmetric polynomials.

该算法利用这组新的递推关系，提出了分别适用于对称和反对称多项式的算法。

The dislocation density stress relations are derived with the help of the symmetric and antisymmetric parts of stresses.

通过求解应力对称和反对称部分可以得到位错密度-应力的相关关系。

In case of filter length 5, both the existence of unique symmetric biorthonormal MRA and the inexistence of antisymmetric ones are proved.

分别研究了所有滤波长度为4和5的双正交多尺度分析的构造。

Due to the symmetry of the plate, there are symmetric and antisymmetric mode vibrations with respect to the median plane of the plate.

首先建立了在偏压电场作用下压电介质的运动微分方程，进而根据对称模态和反对称模态的特点，分别在自由表面电学开路和电学短路情况下得到了Lamb波传播的相速度方程。

Bands of antisymmetric and symmetric streching vibrations in the carboxylate anions are broad or significantly split.

羧基阴离子的反对称伸缩振动和对称伸缩振动谱带是带肩峰或明显分裂的宽带。

Results show that, the double side excitation method, compared with the traditional single side one, can inhibit the multi-mode characteristic of Lamb waves and generate fundamental symmetric and antisymmetric modes at the relatively low exciting frequency. It can heighten the exciting effect and make it easy to analyze monitoring signals.

研究结果表明：与传统的单面激励方法相比，该激励方法能够抑制Lamb波的多模式特性，在频率较低的情况下可实现基本对称或反对称模式的产生，提高了Lamb波的激励效果，便于监测信号的分析。

The phase velocity equations of symmetric and antisymmetric modes of Lamb wave propagation are obtained for electrical open and short cases.

当薄膜厚度与波长之比较小时，相速度减小的趋势不很明显，当薄膜厚度与波长之比较大时，相速度减小的趋势明显。

Accordingly a new kind of orthogonal or almost orthogonal, symmetric, antisymmetric and linear phase wavelets are constructed.

本文称这些新子波为超高斯谱子波。

Convolutional differentiator is obtained by inverse Fourier transform of bandlimited Fourier spectra of partial derivative operator. CD is symmetric or antisymmetric and decays rapidly.

褶积微分算子是将偏导数算子的带限傅氏谱进行反傅氏变换得到的，具有对称或反对称和衰减速度快的特点。

Taking the spring of coupled pendulum s as an uniform elastic rod, characteristic equations are derived for symmetric normal mode and antisymmetric modes.

将耦合摆弹簧作为弹性均匀杆，导出了对称简正模与反对称简正模的本征方程，给出各角频率值的近似式，并进行了讨论

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。