Relevant bibliographies by topics / Taylor expansion diagram

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Taylor expansion diagram'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Taylor expansion diagram"

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Zaninetti, L. "Semi-analytical formulas for the Hertzsprung-Russell diagram." Serbian Astronomical Journal, no. 177 (2008): 73–85. http://dx.doi.org/10.2298/saj0877073z.

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The absolute visual magnitude as function of the observed color (B-V), also named Hertzsprung-Russell diagram, can be described through five equations; that when calibrated stars are available means eight constants. The developed framework allows to deduce the remaining physical parameters, mass, radius and luminosity. This new technique is applied to the first 10 pc, the first 50 pc, the Hyades and to the determination of the distance of a cluster. The case of the white dwarfs is analyzed assuming the absence of calibrated data: our equation produces a smaller ?2 with respect to the standard color-magnitude calibration when applied to the Villanova Catalog of Spectroscopically Identified White Dwarfs. The theoretical basis of the formulas for the colors and the bolometric correction of the stars is clarified by a Taylor expansion in the temperature of the Planck distribution.
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Banerjee, Shibaji, Jimson Mathew, Saraju P. Mohanty, Dhiraj K. Pradhan, and Maciej J. Ciesielski. "A Variation-Aware Taylor Expansion Diagram-Based Approach for Nano-CMOS Register-Transfer Level Leakage Optimization." Journal of Low Power Electronics 7, no. 4 (December 1, 2011): 471–81. http://dx.doi.org/10.1166/jolpe.2011.1160.

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Arshad, Muhammad Haseeb, Mahmoud Kassas, Alaa E. Hussein, and Mohammad A. Abido. "A Simple Technique for Studying Chaos Using Jerk Equation with Discrete Time Sine Map." Applied Sciences 11, no. 1 (January 4, 2021): 437. http://dx.doi.org/10.3390/app11010437.

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Over the past decade, chaotic systems have found their immense application in different fields, which has led to various generalized, novel, and modified chaotic systems. In this paper, the general jerk equation is combined with a scaled sine map, which has been approximated in terms of a polynomial using Taylor series expansion for exhibiting chaotic behavior. The paper is based on numerical simulation and experimental verification of the system with four control parameters. The proposed system’s chaotic behavior is verified by calculating different chaotic invariants using MATLAB, such as bifurcation diagram, 2-D attractor, Fourier spectra, correlation dimension, and Maximum Lyapunov Exponent. Experimental verification of the system was carried out using Op-Amps with analog multipliers.
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Gu, Zheng, and Yuhua Xu. "Chaotic Dynamics Analysis Based on Financial Time Series." Complexity 2021 (June 22, 2021): 1–6. http://dx.doi.org/10.1155/2021/2373423.

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It is a common phenomenon in the field of financial research to study the dynamic of financial market and explore the complexity of financial system by using various complex scientific methods. In this paper, the chaotic dynamic properties of financial time series are analyzed. Firstly, the nonlinear characteristics of the data are discussed through the empirical analysis of agriculture index data; the daily agriculture index returns can be decomposed into the different scales based on wavelet analysis. Secondly, the dynamic system of some nonlinear characteristic data is established according to the Taylor series expansion form, and the corresponding dynamic characteristics are analyzed. Finally, the bifurcation diagram of the system shows complicated bifurcation phenomena, which provides a perspective for the analysis of chaotic phenomena of economic data.
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Chen, Long, Jun Wang, Xing Xu, Xinwei Jiang, and Feng Wang. "Nonlinear Analysis of a Quasi-Zero Stiffness Air Suspension Based on the Cell-Mapping Method." International Journal of Acoustics and Vibration 26, no. 2 (June 30, 2021): 148–60. http://dx.doi.org/10.20855/ijav.2021.26.21755.

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The quasi-zero stiffness system has the characteristics of low dynamic stiffness and high static stiffness, which can bring a better driving experience and lower road dynamic load at high speed on irregular roads. This paper studies a type of interconnected quasi-zero stiffness air suspension system, which has two states, namely, the non-interconnected quasi-zero stiffness air suspension and the interconnected quasi-zero stiffness air suspension, to meet the performance requirements under different loads and vehicle speed. First, the mathematical model of the nonlinear system is established based on the basic principles of fluid mechanics and thermodynamics. Then, the stability of the equilibrium point is analyzed using the Lyapunov first method, where the quantitative analysis of the attractive region of the system is conducted through the bifurcation diagram and phase diagram. By using the Taylor series expansion, cell-mapping theory and domain map of attraction, the attractive region of the system is quantitatively analyzed to obtain the parametric feasible domain under stable conditions. Finally, the performance of the quasi-zero stiffness suspension system with the selected parameters under the stability constraint is verified by simulation analysis and experiment. The results show that the system represented in this paper provides higher suspension comfort and stability.
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Brandt, Bastian B., Gergely Endrődi, and Sebastian Schmalzbauer. "QCD at finite isospin chemical potential." EPJ Web of Conferences 175 (2018): 07020. http://dx.doi.org/10.1051/epjconf/201817507020.

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We investigate the properties of QCD at finite isospin chemical potential at zero and non-zero temperatures. This theory is not affected by the sign problem and can be simulated using Monte-Carlo techniques. With increasing isospin chemical potential and temperatures below the deconfinement transition the system changes into a phase where charged pions condense, accompanied by an accumulation of low modes of the Dirac operator. The simulations are enabled by the introduction of a pionic source into the action, acting as an infrared regulator for the theory, and physical results are obtained by removing the regulator via an extrapolation. We present an update of our study concerning the associated phase diagram using 2+1 flavours of staggered fermions with physical quark masses and the comparison to Taylor expansion. We also present first results for our determination of the equation of state at finite isospin chemical potential and give an example for a cosmological application. The results can also be used to gain information about QCD at small baryon chemical potentials using reweighting with respect to the pionic source parameter and the chemical potential and we present first steps in this direction.
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Xu, Jiawei, Xuefeng Yang, Wei Li, Jiayu Zheng, Yuqiao Wang, and Mengbao Fan. "Research on semi-active vibration isolation system based on electromagnetic spring." Mechanics & Industry 21, no. 1 (2020): 101. http://dx.doi.org/10.1051/meca/2019048.

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This paper proposes a semi-active variable stiffness vibration isolation system based on electromagnetic spring for the low-frequency vibration isolation of mass-varying objects. It is achieved by four straight leaf springs in parallel to an electromagnetic spring system composed of a single electromagnet and a permanent magnet. The equivalent magnetic circuit method is used to compute electromagnetic force of the electromagnetic spring system, and mathematical model of the semi-active vibration isolation system is established according to Maxwell's equations. The nonlinear mathematical model is linearized at the equilibrium point by using the Taylor series expansion theorem to establish linear state-space representation of the system, and then using the traditional PID control method, a double closed-loop feedback control system of the inner current loop and outer location loop is designed. By controlling the current in the coil, the equivalent stiffness and electromagnetic force of the system are variable to achieve semi-active control. Furthermore, the control block diagram of the semi-active vibration isolation system is built based on Simulink software, then make a simulation analysis to the vibration isolation performance of the system and compare the effects of vibration isolation with inner current loop control and without inner current loop control, respectively. Finally, the experiments prove the correctness of the theory. It concludes that this semi-active vibration isolation system is a vibration isolation system with broad application prospects, which has fast current response, high vibration isolation efficiency, and an excellent vibration isolation effect for the low-frequency disturbance of mass-varying objects.
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Ciesielski, M., J. Guillot, D. Gomez-Prado, and E. Boutillon. "High-Level Dataflow Transformations Using Taylor Expansion Diagrams." IEEE Design & Test of Computers 26, no. 4 (July 2009): 46–57. http://dx.doi.org/10.1109/mdt.2009.82.

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FLEISCHER, J. "CALCULATION OF TWO-LOOP VERTEX FUNCTIONS FROM THEIR SMALL MOMENTUM EXPANSION." International Journal of Modern Physics C 06, no. 04 (August 1995): 495–501. http://dx.doi.org/10.1142/s0129183195000344.

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In a recent paper1 a new powerful method to calculate Feynman diagrams was proposed. It consists in setting up a Taylor series expansion in the external momenta squared, a certain conformal mapping and subsequent resummation by means of Padé approximants. I present numerical examples.
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Tarasov, O. V. "A new approach to the Taylor expansion of multiloop Feynman diagrams." Nuclear Physics B 480, no. 1-2 (November 1996): 397–412. http://dx.doi.org/10.1016/s0550-3213(96)00466-x.

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Dissertations / Theses on the topic "Taylor expansion diagram"

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Guillot, Jérémie. "Optimization techniques for high level synthesis and pre-compilation based on Taylor expansion diagrams." Lorient, 2009. http://www.theses.fr/2009LORIS121.

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Cette thèse adresse la problématique de l'optimisation automatique des spécifications dans le flot de conception des circuits intégrés. Par l'utilisation d'un formalisme canonique (basé sur les Taylors Expansion Diagram) et la reconnaissance de motifs particuliers dans le graphe, les optimisations issues de ces travaux permettent d'améliorer les résultats générés par les outils de synthèse de haut niveau sans connaissance à priori de l'application à implémenter
This thesis addresses the design productivity gap problem in design automation by emp]oying a canonical representation, called Taylor Expansion Diagram. TED is a graphical representation based on Taylor series decomposition of the data-flow computation. Optimizations and high-level transformations developed in this thesis are based on transformations and pattern recognition applied to the TED representation. The results of su ch transformations are the optimized data-flow graphs, which provide input to standard, HLS too]s for final architectural synthesis. Such optimizations cannot be achieved by traditional architectural and high-level synthesis tools or compiJers available today
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Askar, Serkan. "Behavioral synthesis using Taylor expansion diagrams." 2006. https://scholarworks.umass.edu/dissertations/AAI3242096.

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An original technique to transform functional representation of the design into a structural representation in form of a data ow graph (DFG) is described. A canonical, word-level data structure, Taylor Expansion Diagram (TED), is used as a vehicle to effect this transformation. The problem is formulated as that of applying a sequence of decomposition cuts to the TED that transforms it into a family of DFGs. A systematic approach to generate cut sequences and metrics to evaluate the cost of the resulting DFGs are described. Experimental results show that such constructed DFGs provide a better starting point for architectural synthesis that those derived directly from HDL specifications.
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Ren, Qian. "Optimizing behavioral transformations using Taylor Expansion Diagrams." 2008. https://scholarworks.umass.edu/dissertations/AAI3325111.

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Optimization of designs specified at higher levels of abstraction than gate-level or register-transfer level (RTL) has been shown to have the greatest impact on the quality of synthesized hardware. This work presents a systematic method and an experimental software system for behavioral transformations of designs specified at algorithmic and behavioral levels. It targets data-flow and computation-intensive designs used in digital signal processing applications. The system is intended to provide transformations of the initial design specifications prior to architectural and RTL synthesis. It aims at optimizing practical designs while taking into consideration hardware design constraints. The system is based on canonical, graph-based representation, called Taylor Expansion Diagram (TED). The design, initially specified in C, system C, or behavioral hardware description language (HDL), is translated into a hybrid network composed of islands of functional blocks, represented as TEDs, and structural operators, represented as black boxes. TEDs, constructed from polynomial expressions describing functionality of the arithmetic components, are transformed into a structural data flow graph (DFG) representation through a series of TED transformation steps, such as TED linearization, factorization, common subexpression elimination, and TED decomposition. The resulting DFGs are combined with other operators in a hybrid structural network, which is then further restructured to minimize the design latency, subject to the imposed resource constraints. The behavioral transformation system presented in this work relies on novel TED decomposition and DFG restructuring algorithms to produce minimum-latency DFGs and heuristically minimize the overall TD network under the resource constraints. The results show that this system can produce high quality results and can be applied to practical industrial designs. To the best of our knowledge this is the first truly behavioral optimization system which performs transformations of the behavioral design descriptions in a systematic fashion.
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Book chapters on the topic "Taylor expansion diagram"

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"Techniques of Computing via Taylor - Like Expansions." In Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook, 809–43. CRC Press, 2005. http://dx.doi.org/10.1201/9781420037586.ch39.

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Conference papers on the topic "Taylor expansion diagram"

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Banerjee, S., J. Mathew, D. K. Pradhan, S. P. Mohanty, and M. Ciesielski. "A Taylor Expansion Diagram Approach for Nano-CMOS RTL Leakage Optimization." In 2010 International Symposium on Electronic System Design (ISED 2010). IEEE, 2010. http://dx.doi.org/10.1109/ised.2010.22.

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Gomez-Prado, D., Q. Ren, S. Askar, M. Ciesielski, and E. Boutillon. "Variable ordering for taylor expansion diagrams." In Proceedings. Ninth IEEE International High-Level Design Validation and Test Workshop (IEEE Cat. No.04EX940). IEEE, 2004. http://dx.doi.org/10.1109/hldvt.2004.1431235.

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Ciesielski, M., S. Askar, D. Gomez-Prado, J. Guillot, and E. Boutillon. "Data-Flow Transformations using Taylor Expansion Diagrams." In Design, Automation & Test in Europe Conference. IEEE, 2007. http://dx.doi.org/10.1109/date.2007.364634.

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Wang, Guan-jun, Guang-sheng Ma, Jin-liang Jiao, and Gang Feng. "A new timed taylor expansion diagrams method." In 2006 8th International Conference on Solid-State and Integrated Circuit Technology Proceedings. IEEE, 2006. http://dx.doi.org/10.1109/icsict.2006.306541.

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Gomez-Prado, Daniel, Dusung Kim, Maciej Ciesielski, and Emmanuel Boutillon. "Retiming arithmetic datapaths using Timed Taylor Expansion Diagrams." In 2010 IEEE International High Level Design Validation and Test Workshop (HLDVT 2010). IEEE, 2010. http://dx.doi.org/10.1109/hldvt.2010.5496664.

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Guillot, J., E. Boutillon, Q. Ren, M. Ciesielski, D. Gomez-Prado, and S. Askar. "Efficient Factorization of DSP Transforms using Taylor Expansion Diagrams." In 2006 Design, Automation and Test in Europe. IEEE, 2006. http://dx.doi.org/10.1109/date.2006.244096.

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