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polynomial model for homotopy fibers associated with the James construction

MATHEMATISCHE ZEITSCHRIFT 2001年第1期237卷 149-180页

作者： Kamiyama, Y Univ Ryukyus Dept Math Okinawa 9030213 Japan

Let Rat_k (CP~n) denote the space of based holomorphic maps of degree k from the Riemannian sphere S~2 to the complex projective space CP~n. The basepoint condition we assume is that f(∞) = [1,...,1]. Such holomorphi... 详细信息

关键词： polynomial model Homotopy Fiber James Construction

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A polynomial model of transmission and reflection of electromagnetic monochromatic plane waves in lossy, non-magnetic multilayer thin films subjected to an external transverse voltage

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OPTICAL AND QUANTUM ELECTRONICS 2023年第3期55卷 1-31页

作者： Elhabbash, Mohammed K. M. Halim, Mohd Mahadi Yoon, Tiem Leong Taya, Sofyan A. Univ Sains Malaysia Sch Phys George Town 11800 Malaysia Islamic Univ Gaza Phys Dept POB 108 Gaza Palestine

Simulation of the electrical and optical response of a multilayer thin film composed of lossless material coupled with adjacent lossy material in an alternating arrangement when applying a transverse voltage across the multilayer thin film is conducted using a polynomial approach. The modelling of the lossy-lossless multilayer thin film is a generalization of our previous work on multilayer thin film made up of alternating lossy-lossy materials. It is the propagation matrix of the electromagnetic wave in the thin film that governs its propagation, while the interface matrix represents the coupling between layers at an interface. The present solution models the multilayer thin film as an effective capacitor constructed from a series of coupled capacitors, with every layer being considered as a capacitor coupled to the next. A transverse voltage can affect the amounts of electric charges that accumulate at the interface between adjacent "capacitors'. The present model is constructed to describe nonmagnetic, lossy and lossless materials. With the aid of a home-developed code implementing the model, the reflection and transmission of multilayer Ge/MgO thin films are simulated. By tuning the transverse electric potential, geometrical and electrical parameters of an arbitrary lossy-lossless multilayer thin film, the code is capable of predicting nontrivial optical responses in terms of T(lambda), R(lambda), Phi(T)(lambda), OR(lambda). The code can serve as a useful tool for designing and optimizing lossless-lossy or lossless-lossless multi layer thin films to deliver desired optical functions.

关键词： polynomial model Lossy and lossless Non-magnetic materials Fresnel's coefficients Reflection and transmission Multilayer thin films Electromagnetic polarized waves

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A New Complex-Valued polynomial model

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NEURAL PROCESSING LETTERS 2019年第3期50卷 2609-2626页

作者： Yang, Bin Chen, Yuehui Zaozhuang Univ Sch Informat Sci & Engn Zaozhuang Peoples R China Univ Jinan Sch Informat Sci & Engn Jinan Shandong Peoples R China

This paper presents a novel complex-valued polynomial model (CPM) for real-valued prediction and classification problems. In a CPM, function, independent variables and dependent variables are complex-valued. Before CPM optimization, real-valued data need to be converted into complex values. As the linear version of additive tree model, additive expression tree is proposed to optimize the complex-valued structure of CPM. Real parts and imaginary parts of the complex-valued coefficients are encoded into a chromosome and brain storm optimization is utilized to evolve the complex-valued coefficients of CPM. CPM is utilized to predict three financial datasets and classify n-class problems. The prediction results show that CPM presents higher forecasting accuracy than real-valued polynomial model, other real-valued neural networks and ordinary differential equation. The classification performance of CPM is compared with existing methods on IRIS, Liver and Ionosphere datasets. And the results reveal that CPM performs better than well-established and newly proposed real-valued classifiers.

关键词： Complex-valued polynomial model Prediction Classification

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IDENTIFICATION OF n-STATE SPATIO-TEMPORAL DYNAMICAL SYSTEMS USING A polynomial model

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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2008年第7期18卷 2049-2057页

作者： Guo, Yuzhu Billings, Steve A. Coca, Daniel Univ Sheffield Dept Automat Control & Syst Engn Sheffield S1 3JD S Yorkshire England

A multivariable polynomial model is introduced to describe n-state spatio-temporal systems. Based on this model, a new neighborhood detection and transition rules determination method is proposed. Simulation results i... 详细信息

关键词： Identification spatio-temporal system polynomial model

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ESTIMATION OF PARAMETERS OF A polynomial model UNDER INTRA CLASS CORRELATION STRUCTURE FOR INCOMPLETE LONGITUDINAL DATA

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COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 1986年第5期15卷 1549-1559页

作者： SETH, AK MAZUMDAR, S UNIV PITTSBURGH DEPT BIOSTATPITTSBURGHPA 15261

The problem of analyzing and modeling incomplete longitudinal data arising from clinical and epidemiological studies are discussed, A method for handling arbitrarily missing observations under the intra class correlation structure and a polynomial model is developed. Explicit expressions for likelihood equations and information matrix for a second degree polynomial model are provided. The method is illustrated through an example.

关键词： Incomplete longitudinal data polynomial model intra class correlation maximum likelihood estimates

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Correcting Digital Elevation models (DEM) from Unmanned Aerial Vehicles (UAV): A New Method Using polynomial model Matching Techniques

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JOURNAL OF COASTAL RESEARCH 2021年第Sup114期000卷 434-438页

作者： Lee, Hyo-Seong Oh, Jae-Hong Suncheon Natl Univ Dept Civil Engn Sunchon South Korea Korea Maritime & Ocean Univ Dept Civil Engn Busan South Korea

Korean coastal regions have large mudflats that shelter endangered migratory birds and many prosperous ecosystems inhabited by various species living in clusters. To recognize the topographical and environmental characteristics of the coastal regions and to systematically manage them, it is essential to obtain topographical maps of the geographical and environmental characteristics. In particular, the height information of the mudflats is critically important in monitoring changes caused by either natural or artificial influences. Recently, Unmanned Aerial Vehicles (UAV) are shown to be potential candidates in preparing accurate Digital Elevation models (DEMs) of a terrain. But a major problem in using UAVs is that it is almost impossible to conduct a field survey of Ground Control Points (GCPs). This is because the mudflat areas are not easy to approach places where the proportion of silt and clay content is very high. Without GCPs, the DEM produced from the UAV images and photogrammetric software tend to show a nonlinear distortion due to the aerial triangulation errors. Therefore, we propose a least-square height-difference DEM matching with a polynomial model. This method uses a reference DEM obtained from aerial images to compensate for the location error and the aforementioned nonlinear distortion. Experimental results showed that this significant DEM error modeling was possible with curvilinear translation and constant rotation parameters along the diagonal direction of the test DEM that significantly reduce the location errors and almost eliminate the nonlinear distortion of the UAV-derived DEM.

关键词： Mudflat ground control points unmanned aerial vehicle nonlinear distortion least-squares height-difference DEM matching polynomial model existing DEM

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modelization of Energy in WSN basing on LEACH Protocol and polynomial model 18

Modelization of Energy in WSN basing on LEACH Protocol and P...

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12th International Conference on Intelligent Systems - Theories and Applications (SITA)

作者： Jabri, Mohammed Moussaoui, Omar Moussaoui, Mimoun Mohamed First Univ MATSI Lab ESTO PB 473 Oujda Morocco

ISBN: (纸本)9781450364621

Recently, because of limited power in wireless sensor networks (WSNs), many of hierarchical routing protocols have been proposed as an efficient mechanism for reducing energy. The most popular one is LEACH for "Low Energy Adaptive Clustering hierarchy". Depending on multiple and complicated tasks, sensor nodes can't survive longer and die after a duration due to the scarce of energy provided by a battery. So, piloting the entire sensor networks with limited resources of energy is a big challenge due to the diversity of factors that impact energy. In this contest and basing on the LEACH protocol, we have modelized and optimized some aspects of energy in WSN using a design of experiment strategy. Indeed, basing on the power of polynomial equations drawn from the limited development of Taylor-Mac Laurin, we have optimized and explained perfectly some energetic phenomena in wireless sensor networks.

关键词： Wireless sensor network LEACH protocol design of experiment polynomial model

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Miss-tuned Envelope Injection for 2.1GHz HPA Based on polynomial model

Miss-tuned Envelope Injection for 2.1GHz HPA Based on Polyno...

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6th International Conference on Wireless Communications, Networking and Mobile Computing (WICOM)

作者： Liu, Youjiang Liu, Yinong Zhou, Banghua Tsinghua Univ Dept Engn Phys Beijing 100084 Peoples R China CAEP Inst Elect Engn Mianyang 621900 Peoples R China

ISBN: (纸本)9781424437092

A linearization circuitry of miss-tuned envelope injection (MTEI) method is proposed to eliminate intermodulation distortion (IMD) and memory effects of power amplifier (PA). A novel analysis approach using PA polynomial model to analyze its validity is proposed. By injecting both envelope signal and faded two-tones with their IMD products into original two-tone signal, PA's IMD components can be cancelled out, which can overcome the drawback of high power input limit for traditional envelope injection. Two circuitry structures are presented: Direct Envelope Injection (DEI) and Forward Miss-tuned Envelope Injection (FMTEI) structures. Simulation results for 2.1GHz PA show that at 33dBm output, -73dBc and -89dBc third-order IMD suppression (IMD3) can be achieved for DEI and FMTEI respectively, which are 35dB and 51dB better than that without linearization. For FMTEI, amplitude domain compensation for IMD3 shows a broad dynamic output range of 30dBm similar to 50dBm. Frequency domain compensation for IMD3 shows a good memory effects cancellation compared with an RF analog predistorter. The 16-QAM signal application shows 11dB similar to 12dB ACPR improvement with FMTEI.

关键词： power amplifier (PA) envelope injection polynomial model intermodulation distortion (IMD) memory effects

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Modified Frye–Morris polynomial model for double web-angle connections

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International Journal of Advanced Structural Engineering 2015年第3期7卷 295-306页

作者： Prabha, P. Rekha, S. Marimuthu, V. Saravanan, M. Palani, G.S. Surendran, M. CSIR-Structural Engineering Research Centre CSIR Campus Taramani Chennai 600113 Tamil Nadu India Thiagarajar College of Engineering Madurai Tamil Nadu India

The polynomial model proposed by Frye–Morris is generally used to predict the moment-rotation behaviour of eight types of angle connections. The problem with the Frye–Morris model is that it either overestimates or underestimates the connection stiffness as it was developed by assimilating only few test results. A nominal air-gap distance of 10 mm is provided between beam and column, while assembling the connections for fabrication conveniences. This air-gap distance has considerable influence on the connection behaviour observed from the previous studies and an improved polynomial model was suggested for top and seat-angle connection based on the numerical parametric studies by considering the air-gap distance as an additional size parameter. In line with this, the Frye–Morris model for double web-angle connection is also modified based on numerical parametric studies. A new equation is proposed based on the Frye–Morris procedure with air gap as an additional parameter. The proposed equation is compared with the experimental results and Frye–Morris model and is found to be in close agreement. © 2015, The Author(s).

关键词： Double web-angle connection Frye–Morris model Moment-rotation relation polynomial model Semi-rigid analysis Steel structures

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Research on Nonlinear Coupling Analysis Based on polynomial model

Research on Nonlinear Coupling Analysis Based on Polynomial ...

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International Conference on Information Science, Automation and Material System

作者： Liu, Guangfu Zhang, Weigong China Univ Petr Coll Informat & Control Engn Dongying 257061 Peoples R China Southeast Univ Coll Instrument Sci & Technol Nanjing 210096 Peoples R China

ISBN: (纸本)9783037850817

For a multi-dimension force transducer, the mutual coupling between any two force transducers is unavoidable, and normally, the coupling characteristic is nonlinear. But the nonlinear coupled transducers are often treated as linear coupled ones since the difficulty of nonlinear decoupling. The 6-axis wheel force transducer (WFT), as the key instrument of vehicle roadway test system, the precision of which is influenced badly by the mutual coupling. The linear coupling analysis and decoupling method was introduced, on the basis of which, the polynomial nonlinear coupling model was derived, and the polynomial nonlinear decoupling method was discussed. The measurement data of WFT were processed. The results indicate that the accuracy of nonlinear decoupling is higher than that of linear decoupling.

关键词： Wheel Force Transducer (WFT) polynomial model Nonlinear coupling Analysis Nonlinear Decoupling Coupling Matrix

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