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Journal articles on the topic 'Double-pole approximation'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

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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2

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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3

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 (2005): 27–49. http://dx.doi.org/10.1140/epjc/s2005-02343-5.

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4

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 (2000): 67–117. http://dx.doi.org/10.1016/s0550-3213(00)00511-3.

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5

Liu, Quan, Xiang Mu, Wei Huang, Qiming Fu та 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

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6

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 a

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7

Freese, Michael, and Stefan Kulig. "Influence of constructional turbo-generator end region design on end winding inductances." Archives of Electrical Engineering 61, no. 2 (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

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8

Ohta, Koji, and Hatsuo Ishida. "Comparison among Several Numerical Integration Methods for Kramers-Kronig Transformation." Applied Spectroscopy 42, no. 6 (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 computatio

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9

Baglio, Julien, and Duc Ninh Le. "Polarization Observables in WZ Production at the 13 TeV LHC: Inclusive Case." Communications in Physics 30, no. 1 (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 \(

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10

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 t

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11

WOOD, TOBY S., and MICHAEL E. McINTYRE. "Polar confinement of the Sun's interior magnetic field by laminar magnetostrophic flow." Journal of Fluid Mechanics 677 (April 19, 2011): 445–82. http://dx.doi.org/10.1017/jfm.2011.93.

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The global-scale interior magnetic field Bi needed to account for the Sun's observed differential rotation can be effective only if confined below the convection zone in all latitudes including, most critically, the polar caps. Axisymmetric solutions are obtained to the nonlinear magnetohydrodynamic equations showing that such polar confinement can be brought about by a very weak downwelling flow U ~ 10−5cms−1 over each pole. Such downwelling is consistent with the helioseismic evidence. All three components of the magnetic field B decay exponentially with altitude across a thin, laminar ‘magn

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12

Brion, CE, and KH Tan. "Satellite Intensities in Photoelectron Spectroscopy and Electron Momentum Spectroscopy-Synchrotron Radiation Studies of Argon 3s and Xenon 5s Photoionisation (hv - 60?130 eV)." Australian Journal of Physics 39, no. 5 (1986): 565. http://dx.doi.org/10.1071/ph860565.

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Binding energy spectra for the main line, satellite lines and associated double ionization continuum for argon 3s and xenon 5s photoionisation have been measured in the photon energy range 60-130 eV using monochromatised synchrotron radiation and magic angle photoelectron spectroscopy. In particular the ratio of satellite to main line intensities has been investigated and compared with the results of earlier experiments using X-ray and ultraviolet photoelectron spectroscopy as well as with recent measurements by electron momentum [i.e. binary (e,2e)] spectroscopy. The results of the presently

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13

Acho, Thomas M., and Dominic P. Clemence. "The parameter dependent Sturm-Liouville eigenproblem with an interior simple or double pole." ANZIAM Journal 43, no. 4 (2002): 479–91. http://dx.doi.org/10.1017/s1446181100012098.

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AbstractBoundary value problems where resonance phenomena are studied are most often transformable to parameter dependent Sturm-Liouville (SL) eigenproblems with interior singularities. The parameter dependent Sturm-Liouville eigenproblem with interior poles is examined. Asymptotic approximations to the solutions are obtained using an extended Langer's method to take care of the resulting complex eigenvalues and eigenfunctions.

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14

DUNSTER, T. M. "UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE WHITTAKER FUNCTIONS Mκ,iμ(z) AND Wκ,iμ(z)". Analysis and Applications 01, № 02 (2003): 199–212. http://dx.doi.org/10.1142/s0219530503000119.

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Uniform asymptotic approximations are obtained for the Whittaker's confluent hypergeometric functions Mκ, iμ(z) and Wκ, iμ(z), where κ, μ and z are real. Three cases are considered, and when taken together, result in approximations which are valid for κ → ∞ uniformly for 0 ≤ μ < ∞, 0 < z < ∞, and also for μ → ∞ uniformly for 0 ≤ κ < ∞, 0 < z < ∞. The results are obtained by an application of general asymptotic theories for differential equations either having a coalescing turning point and double pole with complex exponent, or a fixed simple turning point. The resulting appro

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15

Dunster, T. M. "Uniform asymptotic expansions for associated Legendre functions of large order." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 133, no. 4 (2003): 807–27. http://dx.doi.org/10.1017/s0308210500002687.

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Uniform asymptotic expansions are obtained for the associated Legendre functions and , and the Ferrers functions and , as the order μ → ∞. The approximations are uniformly valid for 0 ≤ ν + ½ ≤ μ(1 − δ), where δ ∈ (0, 1) is fixed, x ∈ (−1, 1) in the real-variable case and Re z ≥ 0 in the complex-variable case. Explicit error bounds are available for all approximations. In the complex-variable case, expansions are obtained by an application of two existing general asymptotic theories to the associated Legendre differential equation: the first case (in which ν is fixed) applies to regions contai

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16

Montero, Ana M., and Andrés Santos. "Equation of state of hard-disk fluids under single-file confinement." Journal of Chemical Physics 158, no. 15 (2023): 154501. http://dx.doi.org/10.1063/5.0139116.

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The exact transfer-matrix solution for the longitudinal equilibrium properties of the single-file hard-disk fluid is used to study the limiting low- and high-pressure behaviors analytically as functions of the pore width. In the low-pressure regime, the exact third and fourth virial coefficients are obtained, which involve single and double integrals, respectively. Moreover, we show that the standard irreducible diagrams do not provide a complete account of the virial coefficients in confined geometries. The asymptotic equation of state in the high-pressure limit is seen to present a simple po

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17

Meisel, David D., Kenneth F. Kinsey, and Charles H. Recchia. "Microcomputers in an Introductory College Astronomy Laboratory: A Software Development Project." International Astronomical Union Colloquium 105 (1990): 175–76. http://dx.doi.org/10.1017/s0252921100086656.

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We have developed software for the Apple IIe series of microcomputers for use in labs in an introductory astronomy course. This software emphasizes a toolkit approach to data analysis; it has been class tested with over 170 students and was a resounding success as a replacement for previously used graphical approximations. A unique feature of this software is the incorporation of image-processing techniques into a course designed for non-science majors.The five software packages are:(a)Datasheet - A six-column spreadsheet with columnwise operations, statistical functions, and double-high-resol

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18

Huba, Mikulas, Pavol Bistak, and Damir Vrancic. "Series PIDA Controller Design for IPDT Processes." Applied Sciences 13, no. 4 (2023): 2040. http://dx.doi.org/10.3390/app13042040.

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This paper discusses optimal design of the series proportional–integral–derivative–accelerative (PIDA) controller for integral-plus-dead-time (IPDT) plants. The article starts with the design of disturbance reconstruction and compensation based on proportional-derivative-accelerative (PDA) stabilizing controllers. It shows that by introducing positive feedback by a low-pass filter from the (limited) output of the stabilizing PDA controller, one gets disturbance observer (DOB) for the reconstruction and compensation of input disturbances. Thereby, the DOB functionality is based on evaluating st

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19

Xu, Jian, Ning Guo, Hongyu Li, and Youzhi Tu. "On the double-pole solutions of the complex short-pulse equation." Modern Physics Letters B, December 7, 2020, 2150129. http://dx.doi.org/10.1142/s0217984921501293.

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In non-linear optics, it is well known that the non-linear Schrödinger (NLS) equation was always used to model the slowly varying wave trains. However, when the width of optical pulses is in the order of femtosecond ([Formula: see text] s), the NLS equation becomes less accurate. Schäfer and Wayne proposed the so-called short pulse (SP) equation which provided an increasingly better approximation to the corresponding solution of the Maxwell equations. Note that the one-soliton solution (loop soliton) to the SP equation has no physical interpretation as it is a real-valued function. Recently, a

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20

Denner, Ansgar, Daniele Lombardi, and Christopher Schwan. "Double-pole approximation for leading-order semi-leptonic vector-boson scattering at the LHC." Journal of High Energy Physics 2024, no. 8 (2024). http://dx.doi.org/10.1007/jhep08(2024)146.

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Abstract Measuring vector-boson scattering beyond the fully-leptonic final state is becoming possible at the LHC, which demands to have a solid control on the theory predictions for all final states of this class of processes. In this work we present a full off-shell leading-order calculation for the process pp → ℓ+νℓ + 4j in two fiducial regions which are particularly relevant for its experimental measurement. In addition to the fully electroweak order, i.e. $$ \mathcal{O}\left({\alpha}^6\right) $$ O α 6 , we complement our results with $$ \mathcal{O}\left({\alpha}_{\textrm{s}}{\alpha}^5\righ

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21

Dittmaier, Stefan, Philipp Maierhöfer, Christopher Schwan, and Ramon Winterhalder. "Like-sign W-boson scattering at the LHC — approximations and full next-to-leading-order predictions." Journal of High Energy Physics 2023, no. 11 (2023). http://dx.doi.org/10.1007/jhep11(2023)022.

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Abstract We present a new calculation of next-to-leading-order corrections of the strong and electroweak interactions to like-sign W-boson scattering at the Large Hadron Collider, implemented in the Monte Carlo integrator Bonsay. The calculation includes leptonic decays of the W bosons. It comprises the whole tower of next-to-leading-order contributions to the cross section, which scale like $$ {\alpha}_{\textrm{s}}^3 $$ α s 3 α4, $$ {\alpha}_{\textrm{s}}^2 $$ α s 2 α5, αsα6, and α7 in the strong and electroweak couplings αs and α. We present a detailed survey of numerical results confirming t

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22

Poncelet, Rene, and Andrei Popescu. "NNLO QCD study of polarised W+W− production at the LHC." Journal of High Energy Physics 2021, no. 7 (2021). http://dx.doi.org/10.1007/jhep07(2021)023.

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Abstract Longitudinal polarisation of the weak bosons is a direct consequence of Electroweak symmetry breaking mechanism providing an insight into its nature, and is instrumental in searches for physics beyond the Standard Model. We perform a polarisation study of the diboson production in the pp →$$ {\mathrm{e}}^{+}{v}_{\mathrm{e}}{\mu}^{-}{\overline{v}}_{\mu } $$ e + v e μ − v ¯ μ process at NNLO QCD in the fiducial setup inspired by experimental measurements at ATLAS. This is the first polarisation study at NNLO. We employ the double-pole approximation framework for the polarised calculatio

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23

Banchuin, Rawid. "Double‐order negative group delay filtering function: A brilliant capability of the bilinear double‐order transfer function." International Journal of Circuit Theory and Applications, August 7, 2024. http://dx.doi.org/10.1002/cta.4213.

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AbstractIn this work, the capability to generate the negative group delay (NGD) phenomenon at those frequencies higher than a certain value, that is, the NGD high‐pass (HP) filtering function, of the bilinear double‐order transfer function has been demonstrated. Based on the Type‐I bilinear double‐order filter circuit, our theory has been verified by strong agreements between the formulae and their proof‐of‐concept (POC) circuit‐based simulation results. Both formula‐based and POC circuit‐based simulations give the minimum group delay of −5 ms yet the cut‐off frequency of 10 and 9 rad/s, respe

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24

Billoni, M., S. Dittmaier, B. Jäger, and C. Speckner. "Next-to-leading order electroweak corrections to pp → W+W− → 4 leptons at the LHC in double-pole approximation." Journal of High Energy Physics 2013, no. 12 (2013). http://dx.doi.org/10.1007/jhep12(2013)043.

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25

Dao, Thi Nhung, and Duc Ninh Le. "NLO electroweak corrections to doubly-polarized $$W^+W^-$$ production at the LHC." European Physical Journal C 84, no. 3 (2024). http://dx.doi.org/10.1140/epjc/s10052-024-12579-y.

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AbstractWe present new results of next-to-leading order (NLO) electroweak corrections to doubly-polarized cross sections of $$W^+W^-$$ W + W - production at the LHC. The calculation is performed for the leptonic final state of $$e^{+}\mu _{e} \mu ^{-} {\bar{\nu }}_{\mu }$$ e + μ e μ - ν ¯ μ using the double-pole approximation in the diboson center-of-mass frame. NLO QCD corrections and subleading contributions from the gg, $$b{\bar{b}}$$ b b ¯ , $$\gamma \gamma $$ γ γ induced processes are taken into account in the numerical results. We found that NLO EW corrections are small for angular distr

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26

Le, Duc Ninh, Julien Baglio, and Thi Nhung Dao. "Doubly-polarized WZ hadronic production at NLO QCD+EW: calculation method and further results." European Physical Journal C 82, no. 12 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-11032-2.

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AbstractThe doubly-polarized production of $$W^\pm Z$$ W ± Z pairs at the Large Hadron Collider (LHC) is presented at next-to-leading order (NLO) accuracy both for the electroweak (EW) and QCD corrections, including a detailed description of the calculational method using the double-pole approximation. Numerical results at the 13 TeV LHC are presented in particular for the $$W^- Z$$ W - Z case in the $$e^-\bar{\nu }_e \mu ^+\mu ^-$$ e - ν ¯ e μ + μ - channel using ATLAS fiducial cuts and for polarized distributions defined in the WZ center-of-mass system. The NLO EW corrections relative to the

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27

Baker, Gregory, Ching Chang, Stefan G. Llewellyn Smith, and D. I. Pullin. "Long-wavelength equations of motion for thin double vorticity layers." Journal of Fluid Mechanics 942 (May 16, 2022). http://dx.doi.org/10.1017/jfm.2022.342.

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We consider the time evolution in two spatial dimensions of a double vorticity layer consisting of two contiguous, infinite material fluid strips, each with uniform but generally differing vorticity, embedded in an otherwise infinite, irrotational, inviscid incompressible fluid. The potential application is to the wake dynamics formed by two boundary layers separating from a splitter plate. A thin-layer approximation is constructed where each layer thickness, measured normal to the common centre curve, is small in comparison with the local radius of curvature of the centre curve. The three-cur

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28

Denner, Ansgar, and Giovanni Pelliccioli. "NLO QCD corrections to off-shell $$ \mathrm{t}\overline{\mathrm{t}}{\mathrm{W}}^{\pm } $$ production at the LHC." Journal of High Energy Physics 2020, no. 11 (2020). http://dx.doi.org/10.1007/jhep11(2020)069.

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Abstract We present results of a computation of NLO QCD corrections to the production of an off-shell top-antitop pair in association with an off-shell W+ boson in proton-proton collisions. As the calculation is based on the full matrix elements for the process $$ \mathrm{pp}\to {\mathrm{e}}^{+}{v}_{\mathrm{e}}{\mu}^{-}{\overline{v}}_{\mu }{\tau}^{+}{v}_{\tau}\mathrm{b}\overline{\mathrm{b}} $$ pp → e + v e μ − v ¯ μ τ + v τ b b ¯ , all off-shell, spin-correlation, and interference effects are included. The NLO QCD corrections are about 20% for the integrated cross-section. Using a dynamical sc

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