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Julia sets of permutable Holomorphic maps Dedicated to professor Sheng GONG on the occasion of his 75th birthday

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Science China Mathematics 2006年第11期49卷 1715-1721页

作者： SINGH Anand p Department of Mathematics University of Jammu Jammu-180006India

Let f and g be two permutable transcendental holomorphic maps in the *** shall discuss the dynamical properties of f, g and f o g and prove, among other things, that if either f has no wandering domains or f is of bou... 详细信息

关键词： Julia set, Fatou set, permutable maps.

DISCRETE GALERKIN METHOD FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

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Acta Mathematica Scientia 2016年第2期36卷 560-578页

作者： p.MOKHTARY Department of Mathematics Faculty of Basic Sciences Sahand University of Technology

In this article, we develop a fully Discrete Galerkin（DG） method for solving ini- tial value fractional integro-differential equations（FIDEs）. We consider Generalized Jacobi polynomials（CJps） with indexes corresponding to the number of homogeneous initial conditions as natural basis functions for the approximate solution. The fractional derivatives are used in the Caputo sense. The numerical solvability of algebraic system obtained from implementation of proposed method for a special case of FIDEs is investigated. We also provide a suitable convergence analysis to approximate solutions under a more general regularity assumption on the exact solution. Numerical results are presented to demonstrate the effectiveness of the proposed method.

关键词： Fractional integro-differential equation(FIDE) Discrete Galerkin(DG) Generalized Jacobi polynomials(GJps) Caputo derivative

An accurately fast algorithm of calculating reflection/transmission coefficients

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Science China(physics,Mechanics & Astronomy) 2008年第7期51卷 823-846页

作者： CASTAGNA J p Department of Earth and Atmospheric Sciences University of Houston

For the boundary between transversely isotropic media with a vertical axis of symmetry (VTI media), the interface between a liquid and a VTI medium, and the free-surface of an elastic half-space of a VTI medium, an accurately fast algorithm was presented for calculating reflection/transmission (R/T) coefficients. Specially, the case of post-critical angle incidence was considered. Although we only performed the numerical calculation for the models of the VTI media, the calculated results can be extended to the models of transversely isotropic media with a horizontal axis of rotation symmetry (HTI media). Compared to previous work, this algorithm can be used not only for the calculation of R/T coefficients of the boundary between ellipsoidally anisotropic media, but also for that between generally anisotropic media, and the speed and accuracy of this algorithm are faster and higher. According to the anisotropic parameters of some rocks given by the published literature, we performed the calculation of R/T coefficients by using this algorithm and analyzed the effect of the rock anisotropy on R/T coefficients. We used Snell's law and the energy balance principle to perform verification for the calculated results.

关键词： reflection/transmission coefficient AVO analysis anisotropy VTI medium HTI medium

Document Clustering Using Graph Based Fuzzy Association Rule Generation

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Computer Systems Science & Engineering 2022年第10期43卷 203-218页

作者： p.perumal Department of Computer Science and Engineering Sri Ramakrishna Engineering CollegeCoimbatoreIndia

With the wider growth of web-based documents,the necessity of automatic document clustering and text summarization is ***,document summarization that is extracting the essential task with appropriate information,removal of unnecessary data and providing the data in a cohesive and coherent manner is determined to be a most confronting *** this research,a novel intelligent model for document clustering is designed with graph model and Fuzzy based association rule generation(gFAR).Initially,the graph model is used to map the relationship among the data(multi-source)followed by the establishment of document clustering with the generation of association rule using the fuzzy *** method shows benefit in redundancy elimination by mapping the relevant document using graph model and reduces the time consumption and improves the accuracy using the association rule generation with *** framework is provided in an interpretable way for document *** iteratively reduces the error rate during relationship mapping among the data(clusters)with the assistance of weighted document ***,this model represents the significance of data features with class *** is also helpful in measuring the significance of the features during the data clustering *** simulation is done with MATLAB 2016b environment and evaluated with the empirical standards like Relative Risk patterns(RRp),ROUGE score,and Discrimination Information Measure(DMI)***,DailyMail and DUC 2004 dataset is used to extract the empirical *** proposed gFAR model gives better trade-off while compared with various prevailing approaches.

关键词： Document clustering text summarization fuzzy model association rule generation graph model relevance mapping feature patterns

Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis

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Applied Mathematics(A Journal of Chinese Universities) 2018年第1期33卷 71-87页

作者： p Indhumathi A Leelamani Department of Mathematics Tamilnadu College of Engineering Department of Mathematics Anna University Regional Centre

In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-S... 详细信息

关键词： neutral equation Leray Schauder Alternative Banach Contraction principle semigroup of linear operators

Skew-symmetric Elements in Nonlinear Involutions in Group Rings

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Algebra Colloquium 2015年第2期22卷 321-332页

作者： A.p. Raposo Escuela Universitaria de Arquitectura Tecnica Universidad politecnica de Madrid Madrid Spain

Given an involution in a group G, it can be extended in various ways to an involution in the group ring RG, where R is a ring, not necessarily commutative. In this paper nonlinear extensions are considered and necessary and sufficient conditions are given on the group G, its involution, the ring R and the extension for the set of skew-symmetric elements to be commutative and for it to be anticommutative.

关键词： group ring involution skew-symmetric element

Mixed signals in trends of variance in high-elevation tree ring chronologies

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Journal of Mountain Science 2017年第10期14卷 1961-1968页

作者： George p MALANSON Department of Geographical & Sustainability Sciences University of Iowa Iowa City IA 52242 USA

Increases in climate variability, including extremes, may be expected with anthropogenic climate change, but some evidence is contrary. The issue is important because the consequences of variability can be critical for ecosystems. It has long been known and often rehearsed that ecological consequences of increased variability may be greater than those that result from expected changes in mean temperature and precipitation. Tree rings have been useful indicators of ecological response to climate change and used as proxies for climate variability;work in the Rocky Mountains, USA, has been particularly informative. Chronologies from two high elevation species ranging over 2500 km were analyzed for changes in variance through time. These spatially extensive and disaggregated tree ring records do not show a consistent pattern of change in variance over the past 500 or 100 years; heteroscedasticity has recently been greater. A lack of consistent response in growth over a period encompassing changes in mean climate indicates that mountain environments, with inconsistent trends in temperature and precipitation,may be too complex to act as sentinels.

关键词： Climate change Variance pinus albicaulis pinus flexilis Rocky Mountains

Design of Hierarchical Classifier to Improve Speech Emotion Recognition

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Computer Systems Science & Engineering 2023年第1期44卷 19-33页

作者： p.Vasuki Department of IT Sri Sivasubramaniya Nadar College of EngineeringChennai603110India

Automatic Speech Emotion Recognition(SER)is used to recognize emotion from speech *** Emotion recognition is working well in a laboratory environment but real-time emotion recognition has been influenced by the variations in gender,age,the cultural and acoustical background of the *** acoustical resemblance between emotional expressions further increases the complexity of *** recent research works are concentrated to address these effects *** of addressing every influencing attribute individually,we would like to design a system,which reduces the effect that arises on any *** propose a two-level Hierarchical classifier named Interpreter of responses(IR).Thefirst level of IR has been realized using Support Vector Machine(SVM)and Gaussian Mixer Model(GMM)*** the second level of IR,a discriminative SVM classifier has been trained and tested with meta information offirst-level classifiers along with the input acoustical feature vector which is used in primary *** train the system with a corpus of versatile nature,an integrated emotion corpus has been composed using emotion samples of 5 speech corpora,namely;EMO-DB,IITKGp-SESC,SAVEE Corpus,Spanish emotion corpus,CMU's Woogle *** hierarchical classifier has been trained and tested using MFCC and Low-Level Descriptors(LLD).The empirical analysis shows that the proposed classifier outperforms the traditional *** proposed ensemble design is very generic and can be adapted even when the number and nature of features ***-level classifiers GMM or SVM may be replaced with any other learning algorithm.

关键词： Speech emotion recognition hierarchical classifier design ensemble emotion speech corpora

KLOE results on scalar and pseudoscalar mesons

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Chinese physics C 2010年第6期34卷 632-637页

作者： p.Gauzzi Sapienza Università di Roma and INFN Sezione di Roma p.le A.Moro

The data collected by the KLOE Collaboration at the Frascati φ-factory DAФNE from 2001 to 2006 have been used for extensive studies in meson spectroscopy. The decays of the scalar mesons a0（980） and f0（980） into two pseudoscalar mesons have been exploited to measure the relevant parameters of those resonances. The radiative decays φ →ηγ and η＇γ have been used for the determination of the pseudoscalar mixing angle and to search for a possible gluonium content in the η＇. The dynamics of the η → 3π decay has been studied and the Dalitz plot parameters have been measured. The large amount of η mesons produced allowed also to study interesting rare η decays.

关键词： e^+e^- interactions φ-factory scalar mesons pseudoscalar mesons