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1

Crainer, Stuart. "PROFILE: GARY HAMEL." Business Strategy Review 21, no. 4 (December 2010): 83–85. http://dx.doi.org/10.1111/j.1467-8616.2010.00713.x.

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2

Kwon, Bong Kwan, and Ji Won You. "Critical Review on the Cultural Contents Development Based on Historical Facts: The Case of Traces Lef t by Hendrik Hamel." Institute of Korean Cultural Studies Yeungnam University 82 (December 31, 2022): 229–58. http://dx.doi.org/10.15186/ikc.2022.12.31.10.

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This article confirmed that the cultural tourism contents related to Hamel who is the author about 'Story of the wreck of the Sperwer yacht' are distorted to a large extent without historical understanding and historical evidence. And also critically reviewed the fact that this distortion is leading to continuous expanded reproduction. For this study, Hamel's contents and related previous studies were thoroughly utilized. As a result of the study, it was confirmed that among the historical and cultural facts related to Hamel, there were distortions in the contents known to have influenced by Hamel, such as herringbone pattern stone walls, clogs, and waterways. Therefore, I argued that a close examination of historical facts is necessary in the process of developing and researching cultural tourism contents. In particular, I think that many people may have had cultural influences from Hamel, but I made it clear that such thoughts were based on colonialism. For example, stone walls and aqueducts, stone Jangseung, and clogs have significance in themselves, even if they are not Hamel. The stone walls built throughout the village are beautiful in themselves, and the waterway in this area, which lacks agricultural water, has played a significant role in the continuation of agriculture. The ginkgo tree, which Hamel leaned on while missing his hometown, served as the g uardian deity of the villag ers, and still provides beautiful scenery and shade. Even without Hamel, byeong-yeong castle and its surrounding food contents are loved by visitors. And Hamel lived in this place for 7 years, and his 'Report of Hamel' is enough to arouse the curiosity of visitors with the clearly written text alone. It is now time to make it clear that presenting the historical facts related to Hamel as facts and presenting the contents development related to Hamel as an imaginative possibility is the first step to eliminate misunderstandings and to enable continuous development of contents related to Hamel.
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3

Song, Jae-won. "A Hangul Morse Code for Easy Learning: HaMEL." Journal of Korean Institute of Communications and Information Sciences 44, no. 12 (December 31, 2019): 2216–18. http://dx.doi.org/10.7840/kics.2019.44.12.2216.

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4

Sovinsky, Michael C., John E. Hurtado, D. Todd Griffith, and James D. Turner. "The Hamel Representation: A Diagonalized Poincaré Form." Journal of Computational and Nonlinear Dynamics 2, no. 4 (April 16, 2007): 316–23. http://dx.doi.org/10.1115/1.2756062.

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The Poincaré equations, also known as Lagrange’s equations in quasicoordinates, are revisited with special attention focused on a diagonal form. The diagonal form stems from a special choice of generalized speeds that were first introduced by Hamel (Hamel, G., 1967, Theorctische Mechanik, Springer-Verlag, Berlin, Secs. 235 and 236) nearly a century ago. The form has been largely ignored because the generalized speeds create so-called Hamel coefficients that appear in the governing equations and are based on the partial derivative of a mass-matrix factorization. Consequently, closed-form expressions for the Hamel coefficients can be difficult to obtain. In this paper, a newly developed operator overloading technique is used within a simulation code to automatically generate the Hamel coefficients through an exact partial differentiation together with a numerical evaluation. This allows the diagonal form of Poincaré’s equations to be numerically integrated for system simulation. The diagonal form and the techniques used to generate the Hamel coefficients are applicable to general systems, including systems with closed kinematic chains. Because of Hamel’s original influence, these special Poincaré equations are called the Hamel representations and their usefulness in dynamic simulation and control is investigated.
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5

Scharmer, C. Otto. "Conversation with Gary Hamel." Reflections: The SoL Journal 1, no. 3 (March 1, 2000): 72–77. http://dx.doi.org/10.1162/152417300570096.

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6

by Ruth Young, Interview. "Interview with Gary Hamel." Strategic Direction 25, no. 4 (March 20, 2009): 30–31. http://dx.doi.org/10.1108/02580540910943587.

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7

Bianciotto, Gabriel. "De Constant du Hamel." Reinardus / Yearbook of the International Reynard Society 6 (June 17, 1993): 15–30. http://dx.doi.org/10.1075/rein.6.03bia.

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8

Krzysztof Płotka and Ireneusz Recław. "Finitely Continuous Hamel Functions." Real Analysis Exchange 30, no. 2 (2005): 867. http://dx.doi.org/10.14321/realanalexch.30.2.0867.

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9

Lahaise, Robert. "Réginald Hamel, la Louisiane créole." Voix et Images 10, no. 3 (1985): 204. http://dx.doi.org/10.7202/200527ar.

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10

Muthuvel. "SOME RESULTS CONCERNING HAMEL BASES." Real Analysis Exchange 18, no. 2 (1992): 571. http://dx.doi.org/10.2307/44152306.

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11

GEHRET, ALLEN, and TRAVIS NELL. "HAMEL SPACES AND DISTAL EXPANSIONS." Journal of Symbolic Logic 85, no. 1 (August 29, 2019): 422–38. http://dx.doi.org/10.1017/jsl.2019.54.

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AbstractIn this note, we construct a distal expansion for the structure $$\left( {; + , < ,H} \right)$$, where $H \subseteq $ is a dense $Q$-vector space basis of $R$ (a so-called Hamel basis). Our construction is also an expansion of the dense pair $\left( {; + , < ,} \right)$ and has full quantifier elimination in a natural language.
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12

Rafał Filipów, Andrzej Nowik, and Piotr Szuca. "There are Measurable Hamel Functions." Real Analysis Exchange 36, no. 1 (2011): 223. http://dx.doi.org/10.14321/realanalexch.36.1.0223.

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13

Matusik, G., and T. Natkaniec. "Algebraic properties of Hamel functions." Acta Mathematica Hungarica 126, no. 3 (November 11, 2009): 209–29. http://dx.doi.org/10.1007/s10474-009-9052-7.

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14

Jabłoński, Wojciech. "Additive involutions and Hamel bases." Aequationes mathematicae 89, no. 3 (December 6, 2013): 575–82. http://dx.doi.org/10.1007/s00010-013-0241-7.

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15

Banks, W. H. H., P. G. Drazin, and M. B. Zaturska. "On perturbations of Jeffery-Hamel flow." Journal of Fluid Mechanics 186 (January 1988): 559–81. http://dx.doi.org/10.1017/s0022112088000278.

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We examine various perturbations of Jeffery-Hamel flows, the exact solutions of the Navier-Stokes equations governing the steady two-dimensional motions of an incompressible viscous fluid from a line source at the intersection of two rigid plane walls. First a pitchfork bifurcation of the Jeffery-Hamel flows themselves is described by perturbation theory. This description is then used as a basis to investigate the spatial development of arbitrary small steady two-dimensional perturbations of a Jeffery-Hamel flow; both linear and weakly nonlinear perturbations are treated for plane and nearly plane walls. It is found that there is strong interaction of the disturbances up- and downstream if the angle between the planes exceeds a critical value 2α2, which depends on the value of the Reynolds number. Finally, the problem of linear temporal stability of Jeffery-Hamel flows is broached and again the importance of specifying conditions up- and downstream is revealed. All these results are used to interpret the development of flow along a channel with walls of small curvature. Fraenkel's (1962) approximation of channel flow locally by Jeffery-Hamel flows is supported with the added proviso that the angle between the two walls at each station is less than 2α2.
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16

Eagles, P. M. "Jeffery-Hamel boundary-layer flows over curved beds." Journal of Fluid Mechanics 186 (January 1988): 583–97. http://dx.doi.org/10.1017/s002211208800028x.

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We find certain exact solutions of Jeffery-Hamel type for the boundary-layer equations for film flow over certain beds. If β is the angle of the bed with the horizontal and S is the arclength these beds have equation sin β = (const.)S−3, and allow a description of flows on concave and convex beds. The velocity profiles are markedly different from the semi-Poiseuille flow on a plane bed.We also find a class of beds in which the Jeffery-Hamel flows appear as a first approximation throughout the flow field, which is infinite in streamwise extent. Since the parameter γ specifying the Jeffery-Hamel flow varies in the streamwise direction this allows a description of flows over curved beds which are slowly varying, as described in the theory, in such a way that the local approximation is that Jeffery-Hamel flow with the local value of γ. This allows the description of flows with separation and reattachment of the main stream in some cases.
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17

Sharland, R. E. "Obituary: John Hamel Elgood 1909-1998." Bulletin of the African Bird Club 7, no. 1 (March 2000): 50. http://dx.doi.org/10.5962/p.309596.

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18

Ferrando, Juan Carlos. "On Hamel bases in Banach spaces." Studia Mathematica 220, no. 2 (2014): 169–78. http://dx.doi.org/10.4064/sm220-2-5.

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19

Muthuvel. "SOME TOPOLOGICAL PROPERTIES OF HAMEL BASES." Real Analysis Exchange 20, no. 2 (1994): 819. http://dx.doi.org/10.2307/44152564.

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20

Walker, Thomas D. "Scribes and Illuminators. Christopher De Hamel." Library Quarterly 63, no. 2 (April 1993): 221–22. http://dx.doi.org/10.1086/602569.

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21

Crainer, Stuart. "GARY HAMEL: WHAT REALLY MATTERS NOW." London Business School Review 26, no. 1 (March 2015): 32–33. http://dx.doi.org/10.1111/2057-1615.12010.

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22

RILEY, N. "HEAT TRANSFER IN JEFFERY-HAMEL FLOW." Quarterly Journal of Mechanics and Applied Mathematics 42, no. 2 (1989): 203–11. http://dx.doi.org/10.1093/qjmam/42.2.203.

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23

Hamadiche, Mahmoud, Julian Scott, and Denis Jeandel. "Temporal stability of Jeffery–Hamel flow." Journal of Fluid Mechanics 268 (June 10, 1994): 71–88. http://dx.doi.org/10.1017/s0022112094001266.

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In this study of the temporal stability of Jeffery–Hamel flow, the critical Reynolds number based on the volume flux, Rc, and that based on the axial velocity, Rec, are computed. It is found that both critical Reynolds numbers decrease very rapidly when the half-angle of the channel, α, increases, such that the quantity αRc remains very nearly constant and αRecis a nearly linear function of α. For a short channel there can be more than one value of the critical Reynolds number. A fully nonlinear analysis, for Re close to the critical value, indicates that the loss of stability is supercritical. The resulting asymmetric oscillatory solutions show staggered arrays of vortices positioned along the channel.
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24

Brunner, Norbert. "Garnir's dream spaces with Hamel bases." Archiv für Mathematische Logik und Grundlagenforschung 26, no. 1 (December 1987): 123–26. http://dx.doi.org/10.1007/bf02017496.

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25

Baron, Karol. "On additive involutions and Hamel bases." Aequationes mathematicae 87, no. 1-2 (January 16, 2013): 159–63. http://dx.doi.org/10.1007/s00010-012-0183-5.

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26

Płotka, Krzysztof. "On Functions Whose Graph is a Hamel Basis, II." Canadian Mathematical Bulletin 52, no. 2 (June 1, 2009): 295–302. http://dx.doi.org/10.4153/cmb-2009-032-x.

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AbstractWe say that a functionh: ℝ → ℝ is a Hamel function (h∈ HF) ifh, considered as a subset of ℝ2, is a Hamel basis for ℝ2. We show that A(HF) ≥ ω,i.e.,for every finiteF⊆ ℝℝthere existsf∈ ℝℝsuch thatf+F⊆ HF. From the previous work of the author it then follows that A(HF) = ω.
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27

Lu, Lei, Junsheng Duan, and Longzhen Fan. "Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method." Advances in Applied Mathematics and Mechanics 7, no. 5 (July 21, 2015): 675–86. http://dx.doi.org/10.4208/aamm.2014.m543.

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AbstractIn this paper, the nonlinear boundary value problem (BVP) for the Jeffery-Hamel flow equations taking into consideration the magnetohydrodynamics (MHD) effects is solved by using the modified Adomian decomposition method. We first transform the original two-dimensional MHD Jeffery-Hamel problem into an equivalent third-order BVP, then solve by the modified Adomian decomposition method for analytical approximations. Ultimately, the effects of Reynolds number and Hartmann number are discussed.
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28

Ganji, D. D., and Mohammad Hatami. "Three weighted residual methods based on Jeffery-Hamel flow." International Journal of Numerical Methods for Heat & Fluid Flow 24, no. 3 (April 1, 2014): 654–68. http://dx.doi.org/10.1108/hff-06-2012-0137.

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Purpose – The purpose of this paper is to demonstrate the eligibility of the weighted residual methods (WRMs) applied to Jeffery-Hamel Flow. Selecting the most appropriate method among the WRMs and discussing about Jeffery-Hamel flow's treatment in divergent and convergent channels are the other important purposes of the present research. Design/methodology/approach – Three analytical methods (collocation, Galerkin and least square method) have been applied to solve the governing equations. The reliability of the methods is also approved by a comparison made between the forth order Runge-Kutta numerical method. Findings – The obtained solutions revealed that WRMs can be simple, powerful and efficient techniques for finding analytical solutions in science and engineering non-linear differential equations. Originality/value – It could be considered as a first endeavor to use the solution of the Jeffery-Hamel flow using these kind of analytical methods along with the numerical approach.
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29

Meher, Ramakanta, and N. D. Patel. "Numerical study of magnetohydrodynamics Jeffery–Hamel flow with cu-water nanofluid between two rectangular smooth walls with transverse magnetic field." International Journal of Computational Materials Science and Engineering 09, no. 02 (June 2020): 2050010. http://dx.doi.org/10.1142/s2047684120500104.

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In this paper, the MHD Jeffery–Hamel flow with cu-water nanofluid between two smooth rectangular walls with the transverse magnetic field is studied. Differential transform method (DTM) is used to obtain the velocity profile of Jeffery–Hamel flow in both convergent and divergent channels for different values of Reynolds number and Hartmann number. Finally, to examine the accuracy and the validity of the method, the obtained results have been compared with the available collation method results.
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30

Finlayson, John. "Morte Arthure: A Critical Edition. Mary Hamel." Speculum 63, no. 4 (October 1988): 936–39. http://dx.doi.org/10.2307/2853563.

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31

López-Maroto Quiñones, Sara. "Cristopher de Hamel, Meetings with Remarkable Manuscripts." Medievalia 22 (November 27, 2019): 147. http://dx.doi.org/10.5565/rev/medievalia.479.

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32

Nees, Lawrence. "A History of Iluminated Manuscripts.Christopher De Hamel." Speculum 65, no. 3 (July 1990): 651–54. http://dx.doi.org/10.2307/2864064.

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33

Hunt, Patrick. "Making Medieval Manuscripts by Christopher de Hamel." Comitatus: A Journal of Medieval and Renaissance Studies 51, no. 1 (2020): 261–63. http://dx.doi.org/10.1353/cjm.2020.0018.

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34

Stow, Simon R., Peter W. Duck, and Richard E. Hewitt. "Three-dimensional extensions to Jeffery–Hamel flow." Fluid Dynamics Research 29, no. 1 (July 2001): 25–46. http://dx.doi.org/10.1016/s0169-5983(01)00017-x.

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35

Morando, P., and S. Pasquero. "Singular Lagrangians and the Hamel-Appell system." Acta Mechanica 96, no. 1-4 (March 1993): 55–66. http://dx.doi.org/10.1007/bf01340700.

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36

Jotkar, Mamta R., and Rama Govindarajan. "Non-modal stability of Jeffery-Hamel flow." Physics of Fluids 29, no. 6 (June 2017): 064107. http://dx.doi.org/10.1063/1.4983725.

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37

Beriashvili, Mariam, Ralf Schindler, Liuzhen Wu, and Liang Yu. "Hamel bases and well–ordering the continuum." Proceedings of the American Mathematical Society 146, no. 8 (March 9, 2018): 3565–73. http://dx.doi.org/10.1090/proc/14010.

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38

Grzegorz Matusik. "On the Lattice Generated by Hamel Functions." Real Analysis Exchange 36, no. 1 (2011): 65. http://dx.doi.org/10.14321/realanalexch.36.1.0065.

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39

Cichoń, Jacek, and Przemysław Szczepaniak. "Hamel-isomorphic images of the unit ball." Mathematical Logic Quarterly 56, no. 6 (November 9, 2010): 625–30. http://dx.doi.org/10.1002/malq.200910113.

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40

Zaturska, M. B., and W. H. H. Banks. "Vortex stretching driven by Jeffery-Hamel flow." ZAMM 83, no. 2 (February 2003): 85–92. http://dx.doi.org/10.1002/zamm.200310008.

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41

Subramanian, Ramesh, and Jules Picot. "Optical Rheology of a Polydimethylsiloxane Fluid in Jeffrey-Hamel Type Flow." International Journal of Engineering Research and Science 3, no. 8 (August 31, 2017): 93–102. http://dx.doi.org/10.25125/engineering-journal-ijoer-aug-2017-9.

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42

Lemouedda, Badreddine, Mohamed Rafik Sari, and Mohamed Kezzar. "Heat Transfer in Hydro-Magnetic Jeffery-Hamel Flow." International Review of Mechanical Engineering (IREME) 10, no. 1 (January 31, 2016): 44. http://dx.doi.org/10.15866/ireme.v10i1.7834.

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43

Karasińska, Aleksandra, and Elżbieta Wagner-Bojakowska. "(B∆I,I)-saturated sets and Hamel basis." Tatra Mountains Mathematical Publications 62, no. 1 (March 1, 2015): 143–50. http://dx.doi.org/10.1515/tmmp-2015-0011.

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Abstract Let I be a proper σ-ideal of subsets of the real line. In a σ-field of Borel sets modulo sets from the σ-ideal I we introduce an analogue of the saturated non-measurability considered by Halperin. Properties of (B∆I,I)-saturated sets are investigated. M. Kuczma considered a problem how small or large a Hamel basis can be. We try to study this problem in the context of sets from I.
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44

Gounelle, Rémi. "Christopher de Hamel, La Bible. Histoire du Livre." Archives de sciences sociales des religions, no. 126 (April 1, 2004): 47–112. http://dx.doi.org/10.4000/assr.2350.

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45

Reimann, Bernard C. "Gary Hamel: How to compete for the future." Planning Review 22, no. 5 (May 1994): 39–42. http://dx.doi.org/10.1108/eb054484.

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46

Woudhuysen, H. R. "Meetings with Remarkable Manuscripts by Christopher de Hamel." Common Knowledge 24, no. 1 (January 1, 2018): 170. http://dx.doi.org/10.1215/0961754x-4254144.

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47

Uribe, F. J., Enrique Díaz-Herrera, A. Bravo, and R. Peralta-Fabi. "On the stability of the Jeffery–Hamel flow." Physics of Fluids 9, no. 9 (September 1997): 2798–800. http://dx.doi.org/10.1063/1.869390.

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48

Kidd, Peter. "Meetings with Remarkable Manuscripts. By Christopher de Hamel." Library 18, no. 3 (September 1, 2017): 345–46. http://dx.doi.org/10.1093/library/18.3.345.

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49

Płotka, Krzysztof. "On functions whose graph is a Hamel basis." Proceedings of the American Mathematical Society 131, no. 4 (August 28, 2002): 1031–41. http://dx.doi.org/10.1090/s0002-9939-02-06620-0.

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50

Manuilovich, S. V. "Spatial Evolution of Nonstationary Perturbations in Hamel Flow." Fluid Dynamics 39, no. 2 (March 2004): 206–18. http://dx.doi.org/10.1023/b:flui.0000030305.25660.53.

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