Lithology Combination Identification Method Based on Discrete Wavelet Transform and Its Application by JIAO Guohua

“…Based on the wavelet transform of natural gamma curve, the logging signals are decomposed by discrete wavelet, and the characteristics of lithologic combinations corresponding to different energy groups on the time-frequency energy diagram are summarized. …”
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Сhromatographic methods for the study of organic extractants of transformer oil by Ngoc Dan Vu, V. F. Novikov

“…METHODS. The paper discusses a sample preparation system for transformer oil, which is based on various methods for extracting target components from it. …”
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Image Processing Method Based on Chaotic Encryption and Wavelet Transform for Planar Design by Yiying Liu, Young Chun Ko

“…This paper provides an in-depth study and analysis of image processing for graphic design through chaotic encryption combined with a wavelet transform algorithm. Firstly, the traditional Mallat algorithm is optimized; since the mean value of the transform coefficients generated after the wavelet transform of the image is used as the initial value of the chaotic system to iterate, when the image is modified, then the mean value of the wavelet coefficients will also change, and the final iteration comes out as two different sequences using the property that the chaotic system is extremely sensitive to the initial conditions, so the algorithm has a certain sensitivity to tampering and localization effect. …”
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APPLICATION OF DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING HIV MODEL WITH ANTI-VIRAL TREATMENT by Esther Y. Bunga, Meksianis Z. Ndii

“…A number of numerical schemes such as Euler, Runge-Kutta, and Finite Difference Scheme are generally used. There are also alternative numerical methods that can be used to solve system of differential equations such as the nonstandard finite difference scheme (NSFDS), the Adomian decomposition method (ADM), Variation iteration method (VIM), and the differential transformation method (DTM). …”
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Interrupted Sampling Repeater Jamming Recognition Method Based on Wavelet Packet Transform by Zhong Qi, Fan Shoutao, He Zhiyi, Liu Jianxin

“…To address this issue, we propose a method for interference and target recognition based on the difference in the coefficient of variation obtained from wavelet packet transforms of jamming and target echoes, which can effectively eliminate the impact of ISRJ attacks. …”
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Endurance determination of different buckwheat cultivars to aluminum by FTIR spectrum by ZHANG Ya-nan, WANG Ying, CHEN Qi, HUANG Shu-shi, LI Kun-zhi

“…The Al-tolerance of two different varieties (Chun-Hong 1, Chun-Hong 4) of buckwheat was analyzed and identified by Fourier transform infrared (FTIR) spectroscopy and conventional experimental method of root elongation. …”
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An Analysis of the Accuracy of the Transformation of the Coordinators of Mining Maps by Distinct Method by Monika Żogała

“…In addition, analyses were carried out taking into account measurement accuracy confirming the sensitivity of the first order conformal transformation to measurement errors. The differences that occur indicate the need to look for a method that will reduce or eliminate them. …”
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A Dynamic Integrated Fault Diagnosis Method for Power Transformers by Wensheng Gao, Cuifen Bai, Tong Liu

“…In order to diagnose transformer fault efficiently and accurately, a dynamic integrated fault diagnosis method based on Bayesian network is proposed in this paper. …”
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Dynamic Density-Guided Method for Multi-Robot Formation Transformation by CAO Kai, CHEN Yangquan, LI Kang, CHEN Chaobo, YAN Kun, LIU Weichao

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The lip reading method based on Adaptive Pooling Attention Transformer by YAO Yun, HU Zhenxiao, DENG Tao, WANG Xiao

“…To address this issue, a lip reading method based on Adaptive Pooling Attention Transformer (APAT-LR) is proposed. …”
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A General Method for Transforming Nonphysical Configurations in BPS States by J. R. L. Santos, A. de Souza Dutra, O. C. Winter, R. A. C. Correa

“…In this work, we apply the so-called BPS method in order to obtain topological defects for a complex scalar field Lagrangian introduced by Trullinger and Subbaswamy. …”
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OPGW fault localization method based on transformer and federated learning by Yan Zhigang, Cui Min, Su Xinyue, Wang Jinrui, Ma Xiao, Wu Lijun

“…A fault localization and analysis method for Optical Power-Grade Ground Wire (OPGW) based on transformer and federated learning (FedL) in a cloud edge collaborative environment is proposed. …”
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Mobility difference index: a quantitative method for detecting human mobility difference by Zhaohui Liu, Rui Li, Jing Cai, Qiushi Hu, Huayi Wu

“…The method quantifies the differences in human mobility by calculating the minimum transformation cost between two sets of origin-destination flows based on optimal transport theory. …”
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The differential method of detecting coil circuitsfaults in three-phase transformer by R. G. Mustafin, R. F. Yarish

“…Idle voltages proportional to corresponding magnetic flows of three-phase transformer of general purpose are measured using differential methods aimed at detection of inter turn faultin windings of three-leg transformers.The standard method of determining the inter turn fault in the transformer windings is based on measuring idling current and measuring loss power. …”
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Method for Distinguishing the Digital Images in Different Formats by Kobozeva A.A., Bobok I.I., Kushnirenko N.I.

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Acoustic Emission Signal Recognition of Different Rocks Using Wavelet Transform and Artificial Neural Network by Xiangxin Liu, Zhengzhao Liang, Yanbo Zhang, Xianzhen Wu, Zhiyi Liao

“…The wavelet transform provided a powerful method to acquire the basic characteristics of the rock AE and the environmental noises, such as the energy spectrum and the peak frequency, and the ANN was proved to be a good method to recognize AE signals from different types of rocks and the environmental noises.…”
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Application of Hilbert Huang Transform Method Based on CEEMD in Forest Boundary Layer Turbulence by Yanqi WANG, Yu ZHANG, Youqi SU, Qian ZHANG, min YE

“…To address the modal aliasing phenomenon in traditional Empirical Mode Decomposition （EMD） algorithms， the Complementary Ensemble Empirical Mode Decomposition （CEEMD） and Mirror Extension algorithm were introduced to improve the shortcomings in EMD algorithm decomposition.This article selects case data from turbulence observations in the artificial forest area of Mount Si'e.Firstly， the differences between the two methods are compared and analyzed to clarify the advantages of the CEEMD algorithm； Then， case data of stable and unstable layers at different heights were selected， and the Hilbert Huang transformation method was applied to analyze the turbulent characteristics of the wind speed U and temperature T series under this case， exploring the application of the Hilbert Huang transformation method.The results indicate that the algorithm decomposition of CEEMD is more detailed， the mode aliasing defect of the modal function is better suppressed， the modal energy distribution is more focused， the Hilbert marginal spectrum has more energy spikes， and the energy distribution is clearer.Different modal functions have their own characteristic frequencies， and the decomposed modal functions contain motion of different scales， including turbulent motion in the inertial sub region with a slope of -2/3， and low-frequency large-scale modes corresponding to the energy containing region.The marginal spectral energy peaks obtained from CEEMD decomposition well reflect the energy containing characteristics of each modal function.Individual case analysis shows that the CEEMD algorithm can act as a typical binary filter.After CEEMD decomposition， there are gust fluctuations of about 3~6 minutes in the various modal functions of the U-wind in the turbulence signal of this case.The turbulence characteristics vary at different heights and stable layers.The Hilbert marginal spectral amplitude is higher in the unstable layer at noon compared to the stable layer at night， and the three-dimensional wind speed is better mixed at various heights.Moreover， due to the effect of the canopy， there is a crushing effect on large-scale turbulent vortices at lower altitudes， and the marginal spectrum exhibits low frequency small and high frequency large characteristics compared to other altitudes.In this case， the temperature T is different from the three-dimensional wind speed performance： turbulent vortices at different altitudes are better mixed under stable layer structures， while under unstable layer structures， the marginal spectrum amplitude at lower altitudes is higher due to differences in thermal absorption at different altitudes， and decreases with increasing altitude.Overall， this comparative analysis highlights the superior capabilities of the CEEMD algorithm in handling complex turbulence data， ensuring a more precise and insightful examination of atmospheric phenomena.…”
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Solving Nonlinear Fractional Models in Superconductivity Using the q-Homotopy Analysis Transform Method by Khalid K. Ali, M. Maneea, Mohamed S. Mohamed

“…This study describes the q-homotopy analysis transform method (q-HATM) as a powerful technique for solving nonlinear problems, which has been successfully used with a set of mathematical models in physics, engineering, and biology. …”
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Research of the Method of Gear Fault Classification based on Contourlet Transform and Local Binary Pattern by Zhang Fangdong

“…For the problem that the gear fault feature is difficult to extract in actual working condition,a fault feature extraction method based on vibration signal time-frequency image is proposed,which is based on the global texture of the contourlet transform and the local texture of the local binary pattern. …”
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From caregiving burden to income transformation: intergenerational employment effects of long-term care insurance by Zhiying Li, Longhua Zheng, Hong Xu

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