采用多重分形改进算法提取往复压缩机振动信号的多重分形特征，得到了轴承故障的广义维数谱。
The multifractal features are extracted from the vibration signals of different spots on reciprocating compressor using the improving arithmetic, the general dimension spectrum of bearing.
研究结果表明：地震分布的多重分形维数谱和奇异性谱对于一些典型震区的强震发生具有中期预报价值。
The results show that the medium term symptoms of strong earthquakes in some regions can be proposed from the multi fractal dimension spectrum and singularity spectrum of earthquake distribution.
人们所熟知的常用以代替分形维数的各种度量将在分维谱意义下加以统一，最后讨论多重分形及其分维谱的应用。
The usual fractal dimensions familiar to all us will be united by the multifractal dimension spectrum. Finally, the applications of the multifractal and its dimension spectrum will be discussed.
原子核的低能集体谱依赖于它的核子数。
Low-lying collective spectrum of a nucleus depends on its nucleon number.
结果表明，从振动能谱向转动能谱的过渡主要是由价核子数增加引起的。
The result shows that the transition from vibrational to rotational spectrum is mainly caused by the increase of valence nucleon number.
自动确定聚类数和海量数据的处理是谱聚类的关键问题。
Ascertainable clustering number and large training sets are vital problems of spectral clustering.
确定谱的分形维数与物质相变、维晶状态以及结晶粒子线度的关系。
The relation among the matter phase-transition, crystalline degree, crystal site and spectrum fractal were discussed.
本文对一个矩阵的最小示性数进行了研究，并证明了一个矩阵的最小示性数等于其对应的非负矩阵的谱半径。
It is proved in this paper that the minimal characterizing number of a matrix is equal to the spectral radius of the corresponding non-negative matrix.
首先通过计算原始图像和特征灰度图像的分形维数实现第一次的粗分类提取，然后采用多重分形奇异谱方法进一步完成了细分。
At first, the fractal dimension is extracted from the original image and special gray image for the rough classification, and then the multi-fractal dimension is used for further classification.
文章就在铁谱监测技术中应用分形理论，诸如磨粒识别、分形维数计算等方面进行了初步探讨。
This paper discusses the application of fractal geometry theory in ferrography monitoring technology like the identification of wear particles, the calculation of fractal dimension and so on.
最后，根据降秩技术中的交叉谱思想，提出了一种新的对信号子空间维数减少时的处理算法。
Finally, to deal with the situation that the dimension of the signal subspace decreases, a new algorithm is proposed based on the idea of the Cross Spectral Method.
与传统的LPC谱包络提取法相比，它能降低所用的阶数。
Compared with traditional LPC method, it can lower the order.
特别是低频段部分，因为谱线数太少，会造成更大的计算误差。
Especially, in the lower frequency bands, the bigger calculation errors arise because of the few spectrum points.
研究结果表明，气溶胶浓度和谱分布存在明显的日变化和逐日变化，并在很大程度上受空气相对湿度和理查森数影响。
The results show that the size distribution, diurnal variation, daily variation of atmospheric aerosols have a good relation to relative humidity and Richardson number.
本文对用光学粒子计数器在飞机上测量的大气气溶胶数密度-粒度谱分布进行了分析研究。
Size distributions of number concentration of atmospheric aerosol measured by optical particle counter aboarded on aircraft were analysed.
研究四元数矩阵的主谱、协谱和奇异谱的性质。
The main spectrums, singular spectrums and cospectrums of matrices over quaternionic sfield are studied.
结果表明，尺度-小波能量谱和时间-小波能量谱相比有较好的分类效果和较低的特征维数。
The result shows that, compared with the time-wavelet power spectrum, the scale-wavelet power spectrum has a higher recognition accuracy and smaller dimension of feature vector.
研究结果表明，气溶胶浓度和谱分布存在明显的日变化和逐日变化，并在很大程度上受空气相对湿度和里查森数影响。
The research results show that the size distribution, diel change, daily variation have a good connection with relative humidity and Richardson number.
计算结果表明，冲击射流所形成的脉动壁压场可用正交分解进行描述，其特征谱函数随阶数的增加而迅速衰减，对谱密度函数进行低阶近似也非常有效。
The results show that the eigen spectral functions declined with the increasing of order rapidly. The reconstruction of spectral density function shows that low order approximation is very efficient.
本文简单介绍了几种猝灭校正方法——外标准源道比法，样品谱指数法和H数法。 首先比较了这些方法的特点。
Several methods for quench correction-external standard channels ratio method, spectral index method and "H number" method are simply introduced.
这种紊流使风洞内的流谱与在较高的雷诺数下自由气流中的流谱相似。
This turbulence caused the flow pattern in the tunnel to be similar to the flow pattern in free air at a higher Reynolds number.
聚酰亚胺的结构经红外光谱和核磁共振氢谱确认，并对它的溶解性能、特征粘数、光学性能和热性能等进行了表征。
The structure, solubility, intrinsic viscosity, optical and heat property of polyimides was determined by FTIR, NMR, DSC and TGA et al.
本文简要介绍在北京谱仪触发判选的径迹系统中采用GAL器件作相“或”电路、符合配对电路及径迹数相加电路。
The GAL is applied to ORed circuit . Matched circuit and ADDed circuit which are used in the BES Track Trigger System.
相对论电子在某种粒子数反转布居的分子云中穿行时，可以产生具有反常强度比的微波发射谱线。
Microwave emission lines with anomalous intensity ratio would be produced when the relativistic electrons move through a, molecular cloud with a certain population inversion.
阐述了分形与分形维数的定义，给出了铁谱磨粒分形维数和无标度区间的计算原理。
The definition of the fractal and fractal dimension were expatiated, the calculation principle of fractal dimension was set forth.
随着某一扰动频率增大，增益谱的谱区数及变化规律将随两光波所处的光纤色散区的不同而不同。
With increase of one of the perturbation frequencies, the number of the spectral regions and its variation will be different for different dispersion regimes.
位于导光区两侧的镜带来了分布式布拉格反射，空气孔的排数决定了布拉格反射强度和透射谱。
The rows of air holes decide DBR coming from the mirrors on both sides of the guiding region, which governs the transmission spectrum.
用极谱电流法测定BSA还原波的电子数，证实该波为BS A中的两个双硫键还原所致。
It was ascertained that this wave results from reduction of two disulfide bonds of BSA through determining the electron number by polarographic current method.
测量结果表明：在空化形态不变的条件下，空化噪声宽带谱级将随空泡数的减小而单调增加；
The results of experimental investigations clearly show that the broad band spectra level of cavitation noise increases as the cavitation number becomes small;
测量结果表明：在空化形态不变的条件下，空化噪声宽带谱级将随空泡数的减小而单调增加；
The results of experimental investigations clearly show that the broad band spectra level of cavitation noise increases as the cavitation number becomes small;
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