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1

Youssef, H. M. "Theory of two-temperature-generalized thermoelasticity." IMA Journal of Applied Mathematics 71, no. 3 (June 1, 2006): 383–90. http://dx.doi.org/10.1093/imamat/hxh101.

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2

Orlac’h, Jean-Maxime, Vincent Giovangigli, Tatiana Novikova, and Pere Roca i Cabarrocas. "Kinetic theory of two-temperature polyatomic plasmas." Physica A: Statistical Mechanics and its Applications 494 (March 2018): 503–46. http://dx.doi.org/10.1016/j.physa.2017.11.151.

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3

Sur, Abhik, and M. Kanoria. "Three-Dimensional Thermoelastic Problem Under Two-Temperature Theory." International Journal of Computational Methods 14, no. 03 (April 13, 2017): 1750030. http://dx.doi.org/10.1142/s021987621750030x.

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Анотація:
The present paper deals with the problem of thermoelastic interactions in a homogeneous, isotropic three-dimensional medium whose surface suffers a time dependent thermal loading. The problem is treated on the basis of three-phase-lag model and dual-phase-lag model with two temperatures. The medium is assumed to be unstressed initially and has uniform temperature. Normal mode analysis technique is employed onto the non-dimensional field equations to derive the exact expressions for displacement component, conductive temperature, thermodynamic temperature, stress and strain. The problem is illustrated by computing the numerical values of the field variables for a copper material. Finally, all the physical fields are represented graphically to analyze the difference between the two models. The effect of the two temperature parameter is also discussed.
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4

Ezzat, Magdy A., Alaa Abd El Bary, and Ahmed S. El Karamany. "Two-temperature theory in generalized magneto-thermo-viscoelasticity." Canadian Journal of Physics 87, no. 4 (April 2009): 329–36. http://dx.doi.org/10.1139/p08-143.

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A one-dimensional model of the two-temperature generalized magneto-viscoelasticity with two relaxation times in a perfect conducting medium is established. The state space approach is adopted for the solution of one-dimensional problems for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a specific problem of a half-space subjected to thermal shock and traction-free surface. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results are given and illustrated graphically for the problem. Some comparisons have been shown in figures to estimate the effects of the temperature discrepancy and the applied magnetic field.
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5

Youssef, Hamdy M. "Theory of Two-Temperature Thermoelasticity without Energy Dissipation." Journal of Thermal Stresses 34, no. 2 (January 13, 2011): 138–46. http://dx.doi.org/10.1080/01495739.2010.511941.

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6

Ezzat, Magdy A., and Ahmed S. El-Karamany. "Two-temperature theory in generalized magneto-thermoelasticity with two relaxation times." Meccanica 46, no. 4 (August 5, 2010): 785–94. http://dx.doi.org/10.1007/s11012-010-9337-5.

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7

Mukhopadhyay, Santwana, Rajesh Prasad, and Roushan Kumar. "On the Theory of Two-Temperature Thermoelasticity with Two Phase-Lags." Journal of Thermal Stresses 34, no. 4 (March 9, 2011): 352–65. http://dx.doi.org/10.1080/01495739.2010.550815.

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8

Metens, T., and R. Balescu. "Relativistic transport theory for a two‐temperature magnetized plasma." Physics of Fluids B: Plasma Physics 2, no. 9 (September 1990): 2076–90. http://dx.doi.org/10.1063/1.859428.

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9

Chiku, S. "Optimized Perturbation Theory at Finite Temperature: Two-Loop Analysis." Progress of Theoretical Physics 104, no. 6 (December 1, 2000): 1129–50. http://dx.doi.org/10.1143/ptp.104.1129.

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10

El-Karamany, Ahmed S. "Two-Temperature Theory in Linear Micropolar Thermoviscoelastic Anisotropic Solid." Journal of Thermal Stresses 34, no. 9 (September 2011): 985–1000. http://dx.doi.org/10.1080/01495739.2011.601260.

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11

Odintsov, S. D. "String theory at nonzero temperature and two-dimensional gravity." La Rivista del Nuovo Cimento 15, no. 2 (February 1992): 1–64. http://dx.doi.org/10.1007/bf02742978.

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12

Bibik, Vladislav L., Natalia Ivushkina, and Andrey Bibik. "Comparison of Two Methods of Cutting Temperature Calculation." Materials Science Forum 927 (July 2018): 134–40. http://dx.doi.org/10.4028/www.scientific.net/msf.927.134.

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Анотація:
In this article comparison of two methods of the cutting temperature calculation is made: according to the theory of A.N. Reznikov and the theory of S.S. Silin. The values of the cutting temperature calculated according to both methods are compared to the experimental data provided by various authors. It is determined that both methods can be used for cutting temperature calculation, however they have some limitations. In particular, when making the calculations according to S.S Silin’s theory the parameter, characterizing the degree of plastic deformation of the metal machined should be not less than 0.4. When calculating the cutting temperature by Reznikov’s theory it is necessary to take into account the nature of the physical processes of cutting.
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13

Jangid, Komal, and Santwana Mukhopadhyay. "Variational and reciprocal principles on the temperature-rate dependent two-temperature thermoelasticity theory." Journal of Thermal Stresses 43, no. 7 (April 27, 2020): 816–28. http://dx.doi.org/10.1080/01495739.2020.1753607.

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14

Chitov, Gennady Y., and Andrew J. Millis. "Leading Temperature Corrections to Fermi-Liquid Theory in Two Dimensions." Physical Review Letters 86, no. 23 (June 4, 2001): 5337–40. http://dx.doi.org/10.1103/physrevlett.86.5337.

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15

Davydov, S. Yu, and S. K. Tikhonov. "Theory of adsorption on high-temperature superconductors: two-dimensional model." Surface Science 275, no. 1-2 (September 1992): 137–41. http://dx.doi.org/10.1016/0039-6028(92)90657-r.

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16

Vasil'eva, N. A., I. V. Goncharov, V. L. Mikov, and V. V. Sazonov. "Testing two-temperature thermal-conduction theory for carbon rod composites." Journal of Engineering Physics 60, no. 6 (June 1991): 744–49. http://dx.doi.org/10.1007/bf00871514.

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17

Mittal, Gaurav, and Vinayak S. Kulkarni. "Two temperature fractional order thermoelasticity theory in a spherical domain." Journal of Thermal Stresses 42, no. 9 (May 21, 2019): 1136–52. http://dx.doi.org/10.1080/01495739.2019.1615854.

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18

Altenbach, Holm, Mircea Bîrsan, and Victor A. Eremeyev. "On a thermodynamic theory of rods with two temperature fields." Acta Mechanica 223, no. 8 (March 22, 2012): 1583–96. http://dx.doi.org/10.1007/s00707-012-0632-1.

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19

Ezzat, M. A., and A. A. El-Bary. "Memory-dependent derivatives theory of thermo-viscoelasticity involving two-temperature." Journal of Mechanical Science and Technology 29, no. 10 (October 2015): 4273–79. http://dx.doi.org/10.1007/s12206-015-0924-1.

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20

Lotfy, Kh, and Wafaa Hassan. "Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem." Mathematical Problems in Engineering 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/297274.

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Анотація:
The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve boundary value problems of two-dimensional half-space. The governing equations are solved using normal mode method under the purview of the Lord-Şhulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained is applied to a specific problem of a half-space subjected to one type of heating, the thermal shock type. We study the influence of rotation on the total deformation of thermoelastic half-space and the interaction with each other under the influence of two temperature theory. The material is homogeneous isotropic elastic half-space. The methodology applied here is use of the normal mode analysis techniques that are used to solve the resulting nondimensional coupled field equations for the two theories. Numerical results for the displacement components, force stresses, and temperature distribution are presented graphically and discussed. The conductive temperature, the dynamical temperature, the stress, and the strain distributions are shown graphically with some comparisons.
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21

Lotfy, Kh, and M. Allan. "Two Temperature Theory in a Rotating Semiconducting Medium Under Photothermal Theory with Hydrostatic Initial Stress." Journal of Computational and Theoretical Nanoscience 14, no. 2 (February 1, 2017): 899–909. http://dx.doi.org/10.1166/jctn.2017.6377.

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22

Fernández, José R., and Ramón Quintanilla. "Uniqueness and exponential instability in a new two-temperature thermoelastic theory." AIMS Mathematics 6, no. 6 (2021): 5440–51. http://dx.doi.org/10.3934/math.2021321.

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23

Paul, Phillip H., and Sidney A. Self. "Method for spectroradiometric temperature measurements in two phase flows 1: Theory." Applied Optics 28, no. 11 (June 1, 1989): 2143. http://dx.doi.org/10.1364/ao.28.002143.

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24

Kaur, Iqbal, Kulvinder Singh, and Eduard-Marius Craciun. "New Modified Couple Stress Theory of Thermoelasticity with Hyperbolic Two Temperature." Mathematics 11, no. 2 (January 13, 2023): 432. http://dx.doi.org/10.3390/math11020432.

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Анотація:
This paper deals with the two-dimensional deformation in fibre-reinforced composites with new modified couple stress thermoelastic theory (nMCST) due to concentrated inclined load. Lord Shulman heat conduction equation with hyperbolic two temperature (H2T) has been used to form the mathematical model. Fourier and Laplace transform are used for obtaining the physical quantities of the mathematical model. The expressions for displacement components, thermodynamic temperature, conductive temperature, axial stress, tangential stress and couple stress are obtained in the transformed domain. A mathematical inversion procedure has been used to obtain the inversion of the integral transforms using MATLAB software. The effects of hyperbolic and classical two temperature are shown realistically on the various physical quantities.
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25

DAVIS, R. L. "SUPERFLUID FIELD THEORY." International Journal of Modern Physics A 08, no. 28 (November 10, 1993): 5005–21. http://dx.doi.org/10.1142/s0217751x9300196x.

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Анотація:
The very low temperature dynamics of an isotropic superfluid is derived from a repulsive bosonic field theory. The field theory is a fully dynamical generalization of the Ginzburg-Landau theory, which at zero temperature has semiclassical superfluid solutions. It is shown that supercurrent quenching occurs above some intrinsic critical velocity. The speed of first sound is calculated and the Landau criterion for a maximum superfluid velocity is derived. At finite temperature, the thermodynamic potential is computed, the order parameter and gap equations are derived, the origin of the Landau two-fluid model is identified and the thermomechanical effect is explained. This theory successfully describes many of the features of 4He well below the critical temperature, as well as relativistic generalizations.
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26

RUI, Shengjun. "Theory and Experimental Study of Two-stage Auto-cascade Low Temperature Refrigerator." Journal of Mechanical Engineering 50, no. 2 (2014): 159. http://dx.doi.org/10.3901/jme.2014.02.159.

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27

Abo-Dahab, S. M., and Kh Lotfy. "Two-temperature plane strain problem in a semiconducting medium under photothermal theory." Waves in Random and Complex Media 27, no. 1 (June 30, 2016): 67–91. http://dx.doi.org/10.1080/17455030.2016.1203080.

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28

Yadav, Renu, Kapil Kumar Kalkal, and Sunita Deswal. "Two temperature theory of initially stressed electro-microstretch medium without energy dissipation." Microsystem Technologies 23, no. 10 (February 20, 2017): 4931–40. http://dx.doi.org/10.1007/s00542-017-3323-y.

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29

Fujimoto, Y., A. Wipf та H. Yoneyama. "Finite temperature λφ4 theory in two and three dimensions and symmetry restoration". Zeitschrift für Physik C Particles and Fields 35, № 3 (вересень 1987): 351–54. http://dx.doi.org/10.1007/bf01570771.

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30

Dubinin, M. N., and E. Yu Petrova. "High-temperature Higgs potential of the two-doublet model in catastrophe theory." Theoretical and Mathematical Physics 184, no. 2 (August 2015): 1170–88. http://dx.doi.org/10.1007/s11232-015-0325-8.

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31

Ummarino, G. A. "Pressure dependence of critical temperature in MgB2 and two-bands Eliashberg theory." Physica C: Superconductivity and its Applications 423, no. 3-4 (July 2005): 96–102. http://dx.doi.org/10.1016/j.physc.2005.04.006.

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32

Puri, P., and P. M. Jordan. "On the propagation of harmonic plane waves under the two-temperature theory." International Journal of Engineering Science 44, no. 17 (October 2006): 1113–26. http://dx.doi.org/10.1016/j.ijengsci.2006.07.002.

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33

Youssef, Hamdy M., and N. A. Alghamdi. "Thermoelastic Damping in Nanomechanical Resonators Based on Two-Temperature Generalized Thermoelasticity Theory." Journal of Thermal Stresses 38, no. 12 (September 30, 2015): 1345–59. http://dx.doi.org/10.1080/01495739.2015.1073541.

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34

Das Sarma, S. "Theory of finite-temperature screening in a disordered two-dimensional electron gas." Physical Review B 33, no. 8 (April 15, 1986): 5401–5. http://dx.doi.org/10.1103/physrevb.33.5401.

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35

Shaw, Soumen, and Basudeb Mukhopadhyay. "Moving heat source response in micropolar half-space with two-temperature theory." Continuum Mechanics and Thermodynamics 25, no. 2-4 (December 15, 2012): 523–35. http://dx.doi.org/10.1007/s00161-012-0284-3.

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36

Zenkour, Ashraf M., and Ahmed E. Abouelregal. "Laser Pulse Heating of a Semi-Infinite Solid Based on a Two-Temperature Theory with Temperature Dependence." Journal of Molecular and Engineering Materials 05, no. 03 (September 2017): 1750008. http://dx.doi.org/10.1142/s2251237317500083.

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Анотація:
A two-temperature theory of the generalized thermoelasticity is proposed to study the effect of temperature dependence on a semi-infinite medium. The surface of bounding plane of the medium is under a non-Gaussian laser pulse. Lamé’s coefficients and the thermal conductivity are supposed as temperature-dependent linear functions. The dual-phase-lags (DPLs) theory of the generalized thermoelasticity is applied to treat with the present problem. The analytical solution for different boundary conditions may be deduced by using Laplace transform technique. The numerical results are obtained by using the inverse of Laplace transforms. The comparisons have been graphically presented to show the effects of PLs, temperature discrepancy, laser pulse and laser intensity parameters on field quantities. Also, the results are compared with those obtained from the mechanical and thermal material properties with the temperature independence.
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37

Ye, Chenxiao, Jiantao Che, and Hai Huang. "Boundary Effect and Critical Temperature of Two-Band Superconducting FeSe Films." Crystals 13, no. 1 (December 22, 2022): 18. http://dx.doi.org/10.3390/cryst13010018.

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Анотація:
Based on two-band Bogoliubov–de Gennes theory, we study the boundary effect of an interface between a two-gap superconductor FeSe and insulator (or vacuum). New boundary terms are introduced into two-band Ginzburg–Landau formalism, which modifies the boundary conditions for the corresponding order parameters of superconductor. The theory allows for a mean-field calculation of the critical temperature suppression with the decrease in FeSe film thickness. Our numerical results are in good agreement with the experimental data observed in this material.
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38

Haack, Alexander, Justine R. Bissonnette, Christian Ieritano, and W. Scott Hopkins. "Improved First-Principles Model of Differential Mobility Using Higher Order Two-Temperature Theory." Journal of the American Society for Mass Spectrometry 33, no. 3 (January 31, 2022): 535–47. http://dx.doi.org/10.1021/jasms.1c00354.

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39

Saeed, Abdulkafi M., Kh Lotfy, A. El-Bary, and M. H. Ahmed. "Functionally graded (FG) magneto-photo-thermoelastic semiconductor material with hyperbolic two-temperature theory." Journal of Applied Physics 131, no. 4 (January 31, 2022): 045101. http://dx.doi.org/10.1063/5.0072237.

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40

Arrizabalaga, A., та U. Reinosa. "Finite-temperature φ 4 theory from the 2PI effective action: Two-loop truncation". European Physical Journal A 31, № 4 (березень 2007): 754–57. http://dx.doi.org/10.1140/epja/i2007-10008-4.

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41

Abbas, Ibrahim A. "Free vibration of a thermoelastic hollow cylinder under two-temperature generalized thermoelastic theory." Mechanics Based Design of Structures and Machines 45, no. 3 (September 3, 2016): 395–405. http://dx.doi.org/10.1080/15397734.2016.1231065.

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42

Fujimoto, Y., R. Grigjanis, and R. Kobes. "Two-Loop Finite Temperature Effective Potential. I: Real Scalar Theory with Cubic Term." Progress of Theoretical Physics 73, no. 2 (February 1, 1985): 434–55. http://dx.doi.org/10.1143/ptp.73.434.

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43

Lotfy, Kh, W. Hassan, and M. E. Gabr. "Thermomagnetic effect with two temperature theory for photothermal process under hydrostatic initial stress." Results in Physics 7 (2017): 3918–27. http://dx.doi.org/10.1016/j.rinp.2017.10.009.

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44

Ezzat, Magdy A., Ahmed S. El-Karamany, and Alaa A. El-Bary. "Two-temperature theory in Green–Naghdi thermoelasticity with fractional phase-lag heat transfer." Microsystem Technologies 24, no. 2 (May 3, 2017): 951–61. http://dx.doi.org/10.1007/s00542-017-3425-6.

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45

Thoma, M. H. "Gaussian effective potential for theФ 4-theory in two dimensions at finite temperature". Zeitschrift für Physik C Particles and Fields 53, № 4 (грудень 1992): 637–40. http://dx.doi.org/10.1007/bf01559741.

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46

Xie, T., Y. Z. Zhang, S. M. Mahajan, S. L. Hu, Hongda He, and Z. Y. Liu. "The two-dimensional kinetic ballooning theory for ion temperature gradient mode in tokamak." Physics of Plasmas 24, no. 10 (October 2017): 102506. http://dx.doi.org/10.1063/1.5003652.

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47

Almeida, P. G. C., M. S. Benilov, and G. V. Naidis. "Calculation of ion mobilities by means of the two-temperature displaced-distribution theory." Journal of Physics D: Applied Physics 35, no. 13 (June 18, 2002): 1577–84. http://dx.doi.org/10.1088/0022-3727/35/13/321.

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48

Atwa, Sarhan Y. "Generalized magneto-thermoelasticity with two temperature and initial stress under Green–Naghdi theory." Applied Mathematical Modelling 38, no. 21-22 (November 2014): 5217–30. http://dx.doi.org/10.1016/j.apm.2014.04.023.

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49

El-Karamany, Ahmed S., and Magdy A. Ezzat. "Two-temperature Green–Naghdi theory of type III in linear thermoviscoelastic anisotropic solid." Applied Mathematical Modelling 39, no. 8 (April 2015): 2155–71. http://dx.doi.org/10.1016/j.apm.2014.10.031.

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50

Peres, L. F., and C. C. DaCamara. "Inverse Problems Theory and Application: Analysis of the Two-Temperature Method for Land-Surface Temperature and Emissivity Estimation." IEEE Geoscience and Remote Sensing Letters 1, no. 3 (July 2004): 206–10. http://dx.doi.org/10.1109/lgrs.2004.830613.

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