Relevant bibliographies by topics / Double-pole approximation

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Academic literature on the topic 'Double-pole approximation'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Double-pole approximation"

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Appel, H., E. K. U. Gross, and K. Burke. "Double-pole approximation in time-dependent density functional theory." International Journal of Quantum Chemistry 106, no. 14 (2006): 2840–47. http://dx.doi.org/10.1002/qua.20964.

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Moale, Ionela, and Veronika Pillwein. "A note on uniform approximation of functions having a double pole." LMS Journal of Computation and Mathematics 17, no. 1 (2014): 233–44. http://dx.doi.org/10.1112/s1461157013000387.

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AbstractWe consider the classical problem of finding the best uniform approximation by polynomials of$1/(x-a)^2,$where$a>1$is given, on the interval$[-\! 1,1]$. First, using symbolic computation tools we derive the explicit expressions of the polynomials of best approximation of low degrees and then give a parametric solution of the problem in terms of elliptic functions. Symbolic computation is invoked then once more to derive a recurrence relation for the coefficients of the polynomials of best uniform approximation based on a Pell-type equation satisfied by the solutions.
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Bredenstein, A., S. Dittmaier, and M. Roth. "Four-fermion production at $\gamma\gamma$ colliders: 2. Radiative corrections in double-pole approximation." European Physical Journal C 44, no. 1 (September 2005): 27–49. http://dx.doi.org/10.1140/epjc/s2005-02343-5.

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Denner, A., S. Dittmaier, M. Roth, and D. Wackeroth. "Electroweak radiative corrections to e+e−→WW→4 fermions in double-pole approximation — the RacoonWW approach." Nuclear Physics B 587, no. 1-3 (October 2000): 67–117. http://dx.doi.org/10.1016/s0550-3213(00)00511-3.

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Liu, Quan, Xiang Mu, Wei Huang, Qiming Fu, and Yonggang Zhang. "A Sarsa(λ) Algorithm Based on Double-Layer Fuzzy Reasoning." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/561026.

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Solving reinforcement learning problems in continuous space with function approximation is currently a research hotspot of machine learning. When dealing with the continuous space problems, the classicQ-iteration algorithms based on lookup table or function approximation converge slowly and are difficult to derive a continuous policy. To overcome the above weaknesses, we propose an algorithm named DFR-Sarsa(λ) based on double-layer fuzzy reasoning and prove its convergence. In this algorithm, the first reasoning layer uses fuzzy sets of state to compute continuous actions; the second reasoning layer uses fuzzy sets of action to compute the components ofQ-value. Then, these two fuzzy layers are combined to compute theQ-value function of continuous action space. Besides, this algorithm utilizes the membership degrees of activation rules in the two fuzzy reasoning layers to update the eligibility traces. Applying DFR-Sarsa(λ) to the Mountain Car and Cart-pole Balancing problems, experimental results show that the algorithm not only can be used to get a continuous action policy, but also has a better convergence performance.
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Li, Xiao-ming, Xiu-yu Zhang, Hong Cao, Zhong-wei Lin, Yu-guang Niu, and Jian-guo Wang. "Neural Adaptive Decentralized Coordinated Control with Fault-Tolerant Capability for DFIGs under Stochastic Disturbances." Mathematical Problems in Engineering 2017 (2017): 1–16. http://dx.doi.org/10.1155/2017/6271341.

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At present, most methodologies proposed to control over double fed induction generators (DFIGs) are based on single machine model, where the interactions from network have been neglected. Considering this, this paper proposes a decentralized coordinated control of DFIG based on the neural interaction measurement observer. An artificial neural network is employed to approximate the nonlinear model of DFIG, and the approximation error due to neural approximation has been considered. A robust stabilization technique is also proposed to override the effect of approximation error. A H2 controller and a H∞ controller are employed to achieve specified engineering purposes, respectively. Then, the controller design is formulated as a mixed H2/H∞ optimization with constrains of regional pole placement and proportional plus integral (PI) structure, which can be solved easily by using linear matrix inequality (LMI) technology. The results of simulations are presented and discussed, which show the capabilities of DFIG with the proposed control strategy to fault-tolerant control of the maximum power point tracking (MPPT) under slight sensor faults, low voltage ride-through (LVRT), and its contribution to power system transient stability support.
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Freese, Michael, and Stefan Kulig. "Influence of constructional turbo-generator end region design on end winding inductances." Archives of Electrical Engineering 61, no. 2 (June 1, 2012): 199–210. http://dx.doi.org/10.2478/v10171-012-0017-z.

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Influence of constructional turbo-generator end region design on end winding inductancesThe paper introduces a comprehensive investigation in end winding inductances of large two-pole turbo-generators. With the aid of an analytic-numeric approach, where Neumann's formula is applied, the influence of geometric characteristics of double-layer stator end windings with involute shape is analysed. This parameter study results in approximation formulas for the stator self and mutual inductances at strand level as well as for the common used end winding leakage inductance. In order to consider field affecting components as pressure plate, flux shield, rotor shaft and rotor retaining ring, finite elements models for two machines (250 MVA and 1150 MVA) are created and computed. The results are integrated in the developed approximation formulas. Finally the simulation results of machine 1 are compared to the data of two different measurements. All approaches introduced in this paper show good correlation. The high speed of the analytic-numeric calculation is combined with the accuracy and opportunity to consider field affecting components within the extensive finite element computation successfully.
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Ohta, Koji, and Hatsuo Ishida. "Comparison among Several Numerical Integration Methods for Kramers-Kronig Transformation." Applied Spectroscopy 42, no. 6 (August 1988): 952–57. http://dx.doi.org/10.1366/0003702884430380.

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Several numerical integration methods are compared in order to search out the most effective method for the Kramers-Kronig transformation, using the analytical formula of the Kramers-Kronig transformation of a Lorentzian function as a reference. The methods to be compared involve the use of (1) Maclaurin's formula, (2) trapezium formula, (3) Simpson's formula, and (4) successive double Fourier transform methods. It is found that Maclaurin's formula, in which no special approximation is necessary for the pole part of the integration, gives the most accurate results, and also that its computation time is short. Successive Fourier transform is less accurate than the other methods, but it takes the least time when used without zero-filling. These results have important relevance for programs used to obtain optical constant spectra and to analyze spectral data.
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Baglio, Julien, and Duc Ninh Le. "Polarization Observables in WZ Production at the 13 TeV LHC: Inclusive Case." Communications in Physics 30, no. 1 (March 5, 2020): 35. http://dx.doi.org/10.15625/0868-3166/30/1/14461.

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We present a study of the polarization observables of the $W$ and $Z$ bosons in the process \(p p \to W^\pm Z\to e^\pm \nu_e \mu^+\mu^-\) at the 13 TeV Large Hadron Collider. The calculation is performed at next-to-leading order, including the full QCD corrections as well as the electroweak corrections, the latter being calculated in the double-pole approximation. The results are presented in the helicity coordinate system adopted by ATLAS and for different inclusive cuts on the di-muon invariant mass. We define left-right charge asymmetries related to the polarization fractions between the \(W^+ Z\) and \(W^- Z\) channels and we find that these asymmetries are large and sensitive to higher-order effects. Similar findings are also presented for charge asymmetries related to a P-even angular coefficient.
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Osipov, Dmitry, Aleksandr Gusev, Vitaly Shumikhin, and Steffen Paul. "Noise shaping in SAR ADC." Facta universitatis - series: Electronics and Energetics 33, no. 1 (2020): 15–26. http://dx.doi.org/10.2298/fuee2001015o.

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The successive approximation register (SAR) analog-to-digital converter (ADC) is currently the most popular type of ADC architecture, owing to its power efficiency. They are also used in multichannel systems, where power efficiency is of high importance because of the large number of simultaneously working channels. However, the SAR ADC architecture is not the most area efficient. In SAR ADCs, the binary weighted capacitive digital-to-analog converter (DAC) is used, which means that one additional bit of resolution costs double the increase of area. Oversampling and noise shaping are methods that allow an increase in resolution without an increase of area. In this paper we present the new SAR ADC architectures with a noise shaping. A first-order noise transfer function (NTF) with zero located nearly at one can be achieved. We propose two modifications of the architecture: with zero-only NTF and with the NTF with additional pole. The additional pole theoretically increases the efficiency of noise shaping to further 3 dB. The architectures were applied to the design of SAR ADCs in a 65 nm complementary metal-oxide semiconductor (CMOS) with OSR equal to 10. A 6-bit capacitive DAC was used. The proposed architectures provide nearly 4 additional bits in ENOB. The equalent input bandwitdth is equal to 200 kHz with the sampling rate equal to 4 MS/s.
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Conference papers on the topic "Double-pole approximation"

1

Billoni, Marina, Stefan Dittmaier, Barbara Jaeger, and Christian Speckner. "NLO EW corrections to pp\rightarrow WW\rightarrow 4f in double-pole approximation at the LHC." In 11th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.197.0018.

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Popov, E., R. Reinisch, and M. Neviere. "Electromagnetic Resonance Mediated Second Harmonic Generation: Peaks or Dips?" In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1995. http://dx.doi.org/10.1364/nlgw.1995.nfa13.

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One of the attractive features of grating couplers for second harmonic generation is that these couplers enable electromagnetic resonances at the pump and/or the second harmonic frequency. It is usually believed that the resonant excitation of guided waves (waveguide modes or surface plasmons) leads to an increase of the second harmonic efficiency. This may not be always the case, as reported by M. Kull et al. [1]. This effect has received no explanation till now. We show here that the dips observed in ref. [1] are due to the existence of nonlinear zeros. In the following the undepleted pump approximation is assumed. It simplifies the problem of second harmonic generation at grating couplers so that there exists a scattering matrix [2] at the second harmonic frequency 2ω which linearly links the vector B2ω of scattered amplitudes (at 2ω) to a source vector A2ω, which comes from the square of the field amplitudes at ω: Thus A2ω has a double complex pole, denoted by β1p when the scattered amplitudes at w have a single pole β1p. Given another resonance at 2ω, the scattering matrix S will present another single pole, denoted by β2p.
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