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A Double-Ended Protection Principle for an LCC-VSC-MTDC System with Strong Anti-Interference Ability
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作者 ChuanjianWu Dahai Zhang Jinghan He 《Energy Engineering》 EI 2023年第2期299-316,共18页
The DC grid technology of multi-power supply and multi-drop-point power reception is an effective solution for large-scale renewable energy integration into the power grid.Line-commutated converter-Voltage source conv... The DC grid technology of multi-power supply and multi-drop-point power reception is an effective solution for large-scale renewable energy integration into the power grid.Line-commutated converter-Voltage source converter(LCC-VSC)power grids are one of the more important developmental directions of the future power grid that have occured in recent years.But the multi-terminal high voltage direct current system has the problems of inconsistent boundary characteristics,inconsistent control,and fault response characteristics,which puts higher requirements on the protection scheme.Thus,a completely new protection principle is proposed in this paper.Firstly,the fault characteristics of distributed capacitance current are analyzed.The reactive power calculated by the distribution parameters of different frequencies is different.Subsequently,the fault characteristics of DC reactive power are analyzed,and a DC reactive power extraction algorithm is proposed.The polarity of the multi-band DC reactive power is used to construct the protection scheme.Finally,the LCC-VSC power grid model verifies the correctness and superiority of the proposed protection scheme.The proposed scheme uses DC reactive power instead of fault current to solve the long delay problem caused by distributed capacitance.Compared with the prior art,the proposed solution is not affected by distributed capacitance and has a stronger anti-interference ability(600Ω+10 dB+1 ms). 展开更多
关键词 Hybrid DC transmission double-ended protection s transform Hilbert transform
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Amplitude spectrum compensation and phase spectrum correction of seismic data based on the generalized S transform 被引量:6
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作者 周怀来 王峻 +3 位作者 王明春 沈铭成 张听锟 梁平 《Applied Geophysics》 SCIE CSCD 2014年第4期468-478,510,511,共13页
We propose a method for the compensation and phase correction of the amplitude spectrum based on the generalized S transform. The compensation of the amplitude spectrum within a reliable frequency range of the seismic... We propose a method for the compensation and phase correction of the amplitude spectrum based on the generalized S transform. The compensation of the amplitude spectrum within a reliable frequency range of the seismic record is performed in the S domain to restore the amplitude spectrum of reflection. We use spectral simulation methods to fit the time-dependent amplitude spectrum and compensate for the amplitude attenuation owing to absorption. We use phase scanning to select the time-, space-, and frequencydependent phases correction based on the parsimony criterion and eliminate the residual phase effect of the wavelet in the S domain. The method does not directly calculate the Q value; thus, it can be applied to the case of variable Q. The comparison of the theory model and field data verify that the proposed method can recover the amplitude spectrum of the strata reflectivity, while eliminating the effect of the residual phase of the wavelet. Thus, the wavelet approaches the zero-phase wavelet and, the seismic resolution is improved. 展开更多
关键词 generalized s transform amplitude spectra phase spectra seismic resolution phase correction
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Ground roll attenuation using a time-frequency dependent polarization filter based on the S transform 被引量:6
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作者 谭玉阳 何川 +1 位作者 王艳冬 赵忠 《Applied Geophysics》 SCIE CSCD 2013年第3期279-294,358,共17页
The ground roll and body wave usually show significant differences in arrival time, frequency content, and polarization characteristics, and conventional polarization filters that operate in either the time or frequen... The ground roll and body wave usually show significant differences in arrival time, frequency content, and polarization characteristics, and conventional polarization filters that operate in either the time or frequency domain cannot consider all these elements. Therefore, we have developed a time-frequency dependent polarization filter based on the S transform to attenuate the ground roll in seismic records. Our approach adopts the complex coefficients of the S transform of the multi-component seismic data to estimate the local polarization attributes and utilizes the estimated attributes to construct the filter function. In this study, we select the S transform to design this polarization filter because its scalable window length can ensure the same number of cycles of a Fourier sinusoid, thereby rendering more precise estimation of local polarization attributes. The results of applying our approach in synthetic and real data examples demonstrate that the proposed polarization filter can effectively attenuate the ground roll and successfully preserve the body wave. 展开更多
关键词 Ground roll s transform spectral matrix polarization attributes polarization filter
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Seismic data denoising based on mixed time-frequency methods 被引量:3
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作者 蔡涵鹏 贺振华 黄德济 《Applied Geophysics》 SCIE CSCD 2011年第4期319-327,371,共10页
Deconvolution denoising in the f-x domain has some defects when facing situations like complicated geology structure, coherent noise of steep dip angles, and uneven spatial sampling. To solve these problems, a new fil... Deconvolution denoising in the f-x domain has some defects when facing situations like complicated geology structure, coherent noise of steep dip angles, and uneven spatial sampling. To solve these problems, a new filtering method is proposed, which uses the generalized S transform which has good time-frequency concentration criterion to transform seismic data from the time-space to time-frequency-space domain (t-f-x). Then in the t-f-x domain apply Empirical Mode Decomposition (EMD) on each frequency slice and clear the Intrinsic Mode Functions (IMFs) that noise dominates to suppress coherent and random noise. The model study shows that the high frequency component in the first IMF represents mainly noise, so clearing the first IMF can suppress noise. The EMD filtering method in the t-f-x domain after generalized S transform is equivalent to self-adaptive f-k filtering that depends on position, frequency, and truncation characteristics of high wave numbers. This filtering method takes local data time-frequency characteristic into consideration and is easy to perform. Compared with AR predictive filtering, the component that this method filters is highly localized and contains relatively fewer low wave numbers and the filter result does not show over-smoothing effects. Real data processing proves that the EMD filtering method in the t-f-x domain after generalized S transform can effectively suppress random and coherent noise of steep dips. 展开更多
关键词 Empirical Mode Decomposition generalized s transform coherent noise random noise noise suppression
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Fractional S transform-Part 1:Theory 被引量:3
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作者 胥德平 郭科 《Applied Geophysics》 SCIE CSCD 2012年第1期73-79,116,共8页
The S transform, which is a time-frequency representation known for its local spectral phase properties in signal processing, uniquely combines elements of wavelet transforms and the short-time Fourier transform (STF... The S transform, which is a time-frequency representation known for its local spectral phase properties in signal processing, uniquely combines elements of wavelet transforms and the short-time Fourier transform (STFT). The fractional Fourier transform is a tool for non-stationary signal analysis. In this paper, we define the concept of the fractional S transform (FRST) of a signal, based on the idea of the fractional Fourier transform (FRFT) and S transform (ST), extend the S transform to the time-fractional frequency domain from the time- frequency domain to obtain the inverse transform, and study the FRST mathematical properties. The FRST, which has the advantages of FRFT and ST, can enhance the ST flexibility to process signals. Compared to the S transform, the FRST can effectively improve the signal time- frequency resolution capacity. Simulation results show that the proposed method is effective. 展开更多
关键词 fractional s transform fractional Fourier transform time-frequency analysis
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Improving the resolution of seismic traces based on the secondary time-frequency spectrum 被引量:10
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作者 Wang De-Ying Huang Jian.Ping +2 位作者 Kong Xue Li Zhen-Chun Wang Jiao 《Applied Geophysics》 SCIE CSCD 2017年第2期236-246,323,共12页
The resolution of seismic data is critical to seismic data processing and the subsequent interpretation of fine structures. In conventional resolution improvement methods, the seismic data is assumed stationary and th... The resolution of seismic data is critical to seismic data processing and the subsequent interpretation of fine structures. In conventional resolution improvement methods, the seismic data is assumed stationary and the noise level not changes with space, whereas the actual situation does not satisfy this assumption, so that results after resolution improvement processing is not up to the expected effect. To solve these problems, we propose a seismic resolution improvement method based on the secondary time-frequency spectrum. First, we propose the secondary time-frequency spectrum based on S transform (ST) and discuss the reflection coefficient sequence and time-dependent wavelet in the secondary time frequency spectrum. Second, using the secondary time frequency spectrum, we design a two- dimensional filter to extract the amplitude spectrum of the time-dependent wavelet. Then, we discuss the improvement of the resolution operator in noisy environments and propose a novel approach for determining the broad frequency range of the resolution operator in the time- fi'equency-space domain. Finally, we apply the proposed method to synthetic and real data and compare the results of the traditional spectrum-modeling deconvolution and Q compensation method. The results suggest that the proposed method does not need to estimate the Q value and the resolution is not limited by the bandwidth of the source. Thus, the resolution of the seismic data is improved sufficiently based on the signal-to-noise ratio (SNR). 展开更多
关键词 REsOLUTION s transform time-frequency spectrum time-variant wavelet spectrum-modeling deconvolution Q compensation
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High-frequency compensation for seismic data based on adaptive generalized S transform 被引量:2
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作者 Li Hui-Feng Wang Jin +1 位作者 Wei Zheng-Rong Yang Fei-Long 《Applied Geophysics》 SCIE CSCD 2020年第5期747-755,902,共10页
The low-pass fi ltering eff ect of the Earth results in the absorption and attenuation of the high-frequency components of seismic signals by the stratum during propagation.Hence,seismic data have low resolution.Consi... The low-pass fi ltering eff ect of the Earth results in the absorption and attenuation of the high-frequency components of seismic signals by the stratum during propagation.Hence,seismic data have low resolution.Considering the limitations of traditional high-frequency compensation methods,this paper presents a new method based on adaptive generalized S transform.This method is based on the study of frequency spectrum attenuation law of seismic signals,and the Gauss window function of adaptive generalized S transform is used to fi t the attenuation trend of seismic signals to seek the optimal Gauss window function.The amplitude spectrum compensation function constructed using the optimal Gauss window function is used to modify the time-frequency spectrum of the adaptive generalized S transform of seismic signals and reconstruct seismic signals to compensate for high-frequency attenuation.Practical data processing results show that the method can compensate for the high-frequency components that are absorbed and attenuated by the stratum,thereby eff ectively improving the resolution and quality of seismic data. 展开更多
关键词 seismic data time-frequency analysis adaptive generalized s transform high-frequency compensation
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Identification of voltage sag source location using S and TT transformed disturbance power 被引量:1
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作者 Hussain Shareef Azah Mohamed Ahmad Asrul Ibrahim 《Journal of Central South University》 SCIE EI CAS 2013年第1期83-97,共15页
An alternative method was introduced for voltage sag source location based on S and TT transformed disturbance powers. It is done to avoid the wrong and inconclusive detection of conventional disturbance power method ... An alternative method was introduced for voltage sag source location based on S and TT transformed disturbance powers. It is done to avoid the wrong and inconclusive detection of conventional disturbance power method proposed in the literature. Unlike in the case of the traditional method, the proposed method first transforms the recorded voltage and current during the sag event to some special features before calculating the new version of disturbance powers. The effectiveness of the proposed method has been verified through simulation and actual data from an industrial power system. The results show that the presented method can correctly detect the location of voltage sag source. 展开更多
关键词 power quality voltage sag s transform TT transform signal processing
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Brain functional network connectivity based on a visual task: visual information processing-related brain regions are significantly activated in the task state 被引量:1
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作者 Yan-li Yang Hong-xia Deng +2 位作者 Gui-yang Xing Xiao-luan Xia Hai-fang Li 《Neural Regeneration Research》 SCIE CAS CSCD 2015年第2期298-307,共10页
It is not clear whether the method used in functional brain-network related research can be applied to explore the feature binding mechanism of visual perception. In this study, we inves-tigated feature binding of col... It is not clear whether the method used in functional brain-network related research can be applied to explore the feature binding mechanism of visual perception. In this study, we inves-tigated feature binding of color and shape in visual perception. Functional magnetic resonance imaging data were collected from 38 healthy volunteers at rest and while performing a visual perception task to construct brain networks active during resting and task states. Results showed that brain regions involved in visual information processing were obviously activated during the task. The components were partitioned using a greedy algorithm, indicating the visual network existed during the resting state.Z-values in the vision-related brain regions were calculated, conifrming the dynamic balance of the brain network. Connectivity between brain regions was determined, and the result showed that occipital and lingual gyri were stable brain regions in the visual system network, the parietal lobe played a very important role in the binding process of color features and shape features, and the fusiform and inferior temporal gyri were crucial for processing color and shape information. Experimental ifndings indicate that understanding visual feature binding and cognitive processes will help establish computational models of vision, improve image recognition technology, and provide a new theoretical mechanism for feature binding in visual perception. 展开更多
关键词 nerve regeneration functional magnetic resonance imaging resting state task state brain network module division feature binding Fisher’s Z transform CONNECTIVITY visual stimuli NsFC grants neural regeneration
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Application of S-transform threshold filtering in Anhui experiment airgun sounding data de-noising 被引量:1
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作者 Chenglong Zheng Xiaofeng Tian +2 位作者 Zhuoxin Yang Shuaijun Wang Zhenyu Fan 《Geodesy and Geodynamics》 2018年第4期320-327,共8页
As a relatively new method of processing non-stationary signal with high time-frequency resolution, S transform can be used to analyze the time-frequency characteristics of seismic signals. It has the following charac... As a relatively new method of processing non-stationary signal with high time-frequency resolution, S transform can be used to analyze the time-frequency characteristics of seismic signals. It has the following characteristics: its time-frequency resolution corresponding to the signal frequency, reversible inverse transform, basic wavelet that does not have to meet the permit conditions. We combined the threshold method, proposed the S-transform threshold filtering on the basis of S transform timefrequency filtering, and processed airgun seismic records from temporary stations in "Yangtze Program"(the Anhui experiment). Compared with the results of the bandpass filtering, the S transform threshold filtering can improve the signal to noise ratio(SNR) of seismic waves and provide effective help for first arrival pickup and accurate travel time. The first arrival wave seismic phase can be traced farther continuously, and the Pm seismic phase in the subsequent zone is also highlighted. 展开更多
关键词 s transform Time-frequency filtering Airgun data Threshold filtering DE-NOIsING
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Activation of Uterine Smad3 Pathway Is Crucial for Embryo Implantation 被引量:3
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作者 Juan LI Xi-yuan DONG +4 位作者 Pei-wen YANG Shu-lin YANG Dan HU Han-wang ZHANG Cong SUI 《Current Medical Science》 SCIE CAS 2019年第6期997-1002,共6页
Embryo implantation is a complicated physiological process tightly regulated by multiple biological molecules including growth factors.Transforming growth factor-betas(TGF-βs)and their most specific signal transducti... Embryo implantation is a complicated physiological process tightly regulated by multiple biological molecules including growth factors.Transforming growth factor-betas(TGF-βs)and their most specific signal transduction factors,Smads,are expressed in the endometrium during the window of implantation.Recent researches indicated that Smad dependent TGF-β signaling may play an important role in the process of embryo implantation.In this study,we measured the expression of TGF-β1,TGF-β receptor type I(TpRI),Smad3 and p-Smad3 in the endometrium of mice and observed their elevation on day 4,5 and 6 of pseudopregnancy.Then we administrated a specific Smad3 inhibitor(Sis3)into the uterine cavity of mice on day 3 of pregnancy.The results showed a reduction in insulin-like growth factor-1(IGFBP-1)expression and the decreased number of implanted embryo after the administration.In addition,Sis3 was found to reduce the IGFBP-1 secretion in decidualized endometrial stromal cells.Taken all together,our findings demonstrated that TGF-β/Smad3 signaling is involved in the process of embryo implantation. 展开更多
关键词 transforming growth factor-betas(TGF-βs) sMAD3 endometrial receptivity DECIDUALIZATION embryo implantation
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Novel robust S transform based on the clipping method
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作者 Xiumei Li Yingtuo Ju 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第2期209-214,共6页
This paper presents a novel robust S transform algorithm based on the clipping method to process signals corrupted by impulsive noise.The proposed algorithm is introduced to determine the clipping threshold value acco... This paper presents a novel robust S transform algorithm based on the clipping method to process signals corrupted by impulsive noise.The proposed algorithm is introduced to determine the clipping threshold value according to the characteristics of the signal samples.Signals in various impulsive noise models are considered to illustrate that the robust S transform can achieve better performance than the standard S transform.Moreover,mean square errors for instantaneous frequency estimation of the robust S transform are compared with that of the standard S transform,showing that the robust S transform can achieve significantly improved instantaneous frequency estimation for the signals in impulsive noise. 展开更多
关键词 s transform clipping method impulsive noise mean square error(MsE)
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Supplier Evaluation Model Based on Fuzzy Measures and Choquet Integral
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作者 武建章 张强 桑圣举 《Journal of Beijing Institute of Technology》 EI CAS 2010年第1期109-114,共6页
To identify interactions among evaluation criteria and describe their importance,a new identification method making use of a fuzzy measure is presented.The relative weight and interaction degree of every evaluation cr... To identify interactions among evaluation criteria and describe their importance,a new identification method making use of a fuzzy measure is presented.The relative weight and interaction degree of every evaluation criteria pair are obtained by using the diamond pairwise comparison method.Based on comparison results,the maximum eigenvector method of analytic hierarchy process (AHP),the hierarchical clustering method,and the phi(s) transformation are utilized to generate values of the fuzzy measure for each subset of the evaluation criterion set.Overall evaluation on each supplier is aggregated by Choquet integral with respect to the fuzzy measure.Finally,an illustrative example demonstrates the practical feasibility and validity of the proposed method. 展开更多
关键词 fuzzy measure Choquet integral diamond pairwise comparison phi(s transformation supplier evaluation
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AN APPLICATION OF UNGAR’S DIFFERENTIAL TRANSFORM TO ELASTODYNAMICS
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作者 胡德绥 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第7期675-678,共4页
In recent years, a lot of writers have used Cagniard-de Hoop's method[1][] to solve some problems of elastic wave. But it is a difficult and complicated task to change the path of integration when we use this meth... In recent years, a lot of writers have used Cagniard-de Hoop's method[1][] to solve some problems of elastic wave. But it is a difficult and complicated task to change the path of integration when we use this method. A differential transform by A.Ungar[3,6] can obviate this difficulty. In this paper, weuse Ungar 's differential transform to solve a case of Lamb's problem [1][2] 展开更多
关键词 exp s DIFFERENTIAL TRANsFORM TO ELAsTODYNAMICs AN APPLICATION OF UNGAR
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Japan's Military Transformation and Sino-Japanese Military Relations
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作者 Yuan Yang is Deputy Director at the External Military Division of Military Academy of Sciences. 《Contemporary International Relations》 2003年第11期27-33,共7页
Military reform, which is led by the U. S. and sweeping its way to the rest of the world, has now become one of the hottest topics in inter- national military arena. Japan makes no exception. The reconstruction of its... Military reform, which is led by the U. S. and sweeping its way to the rest of the world, has now become one of the hottest topics in inter- national military arena. Japan makes no exception. The reconstruction of its military forces, which is still in progress, is concentrated on the following two aspects. One is the enlargement of the functions of the Self-Defense Forces (SDF). Participation in overseas operations is in- 展开更多
关键词 been on As in of Japan’s Military Transformation and sino-Japanese Military Relations HAVE sDF from for
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Medical Image Compression by Applying 3D DWT in PACS
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作者 Wang Si-xian Li Fei-peng +2 位作者 Zeng Fa-long Liao Meng-yang Li Hui 《Wuhan University Journal of Natural Sciences》 EI CAS 1999年第3期313-318,共6页
The process of image compression in a practical Picture Archiving and Communication System (PACS) was discussed with detail. To fully reduce the inter-slice correlation existing in the volumetric image sets generated ... The process of image compression in a practical Picture Archiving and Communication System (PACS) was discussed with detail. To fully reduce the inter-slice correlation existing in the volumetric image sets generated by CT and MR, 3D Discrete Wavelet Transformation (DWT) was introduced in our application. Instead of using a fixed quantizer of lossless low frequency and distinct loss of high frequency, an adaptive quantizer was devised taking MSE as the performance index. In the low frequency subband, DPCM was replaced withS+P transform to facilitate coding computation. Compared with JPEG or 2D DWT, our method is 20%–50% more efficient. Furthermore, preliminary tests showed that 33 dB may be the maximal distortion threshold for CT images. 展开更多
关键词 PACs 3D DWT s%PLUs%P transformation optimal bit allocation maximal distortion threshold
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On the generalized Cauchy function and new Conjecture on its exterior singularities 被引量:1
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作者 Theodore Yaotsu Wu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第2期135-151,共17页
This article studies on Cauchy’s function f (z) and its integral, (2πi)J[ f (z)] ≡ ■C f (t)dt/(t z) taken along a closed simple contour C, in regard to their comprehensive properties over the entire z =... This article studies on Cauchy’s function f (z) and its integral, (2πi)J[ f (z)] ≡ ■C f (t)dt/(t z) taken along a closed simple contour C, in regard to their comprehensive properties over the entire z = x + iy plane consisted of the simply connected open domain D + bounded by C and the open domain D outside C. (1) With f (z) assumed to be C n (n ∞-times continuously differentiable) z ∈ D + and in a neighborhood of C, f (z) and its derivatives f (n) (z) are proved uniformly continuous in the closed domain D + = [D + + C]. (2) Cauchy’s integral formulas and their derivatives z ∈ D + (or z ∈ D ) are proved to converge uniformly in D + (or in D = [D +C]), respectively, thereby rendering the integral formulas valid over the entire z-plane. (3) The same claims (as for f (z) and J[ f (z)]) are shown extended to hold for the complement function F(z), defined to be C n z ∈ D and about C. (4) The uniform convergence theorems for f (z) and F(z) shown for arbitrary contour C are adapted to find special domains in the upper or lower half z-planes and those inside and outside the unit circle |z| = 1 such that the four general- ized Hilbert-type integral transforms are proved. (5) Further, the singularity distribution of f (z) in D is elucidated by considering the direct problem exemplified with several typ- ical singularities prescribed in D . (6) A comparative study is made between generalized integral formulas and Plemelj’s formulas on their differing basic properties. (7) Physical sig- nificances of these formulas are illustrated with applicationsto nonlinear airfoil theory. (8) Finally, an unsolved inverse problem to determine all the singularities of Cauchy function f (z) in domain D , based on the continuous numerical value of f (z) z ∈ D + = [D + + C], is presented for resolution as a conjecture. 展开更多
关键词 Uniform continuity of Cauchy’s function · Uni- form convergence of Cauchy’s integral formula · Generalized Hilbert-type integral transforms · Functional properties and singularity distributions
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A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations
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作者 Guoguang Lin Min Shao 《Open Journal of Applied Sciences》 CAS 2022年第7期1174-1183,共10页
In this paper, we study the inertial manifolds for a class of asymmetrically coupled generalized Higher-order Kirchhoff equations. Under appropriate assumptions, we firstly exist Hadamard’s graph transformation metho... In this paper, we study the inertial manifolds for a class of asymmetrically coupled generalized Higher-order Kirchhoff equations. Under appropriate assumptions, we firstly exist Hadamard’s graph transformation method to structure a graph norm of a Lipschitz continuous function, then we prove the existence of a family of inertial manifolds by showing that the spectral gap condition is true. 展开更多
关键词 Inertial Manifold Hadamard’s Graph Transformation Method Lipschitz Continuous spectral Gap Condition
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On the invariance of time-dependent Hamilton's functions
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作者 Q. K. Ghori 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第5期511-513,共3页
The general framework of Poincarè's formalism is used to establish the connection between conservation laws and invariance properties of Hamilton's function under infinitesimal transformations when these laws a... The general framework of Poincarè's formalism is used to establish the connection between conservation laws and invariance properties of Hamilton's function under infinitesimal transformations when these laws and the Hamiltonian are time-dependent. An example illustrative of the theory is also considered. 展开更多
关键词 Conservation law . Poincarè's formalism .Infinitesimal transformation
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Hankel Transform Domain Analysis of Dual-Frequency Stacked Circular Microstrip Antennas
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作者 Huang Jingxi Fan Zhibo 《Wuhan University Journal of Natural Sciences》 CAS 1997年第4期61-65,共5页
This paper presents an accurate and efficient method for the computation of resonant frequencies and radiation patterns of a dual frequency stacked circular microstrip antenna.The problem is first formulated using th... This paper presents an accurate and efficient method for the computation of resonant frequencies and radiation patterns of a dual frequency stacked circular microstrip antenna.The problem is first formulated using the Hankel transform domain approach and expressions are obtained for the Green's function in the Hankel transform domain,which relates the electric surface currents on the circular disks and tangential electric field components on the surfaces of the substrates. Then Galerkin's method together with Parsebal's relation for Hankel transformation is used to solve for the unknown currents, In the derivation process,the resonant frequencies are numerically determined as a function of the radii of two circular disks and thicknesses and relative permittivies of two substrates.Finally,the far zone radiation patterns are directly obtained from the Green's function and the currents. The numerical results for the resonant frequencies and radiation patterns are in excellent agreement with the available experimental data corroborating the accuracy of the present method. 展开更多
关键词 microstrip antennas circular microstrip antennas Hankel transform Garlerkin′s method
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