1. Enskog David Enskog. Born 22 April 1884 After completing his secondary schooling,David Enskog entered Uppsala University. He continued to study http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Enskog.html

David Enskog Born: Died: 1 June 1947 in Stockholm, Sweden Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index After completing his secondary schooling, David Enskog entered Uppsala University. He continued to study there for his doctorate after taking his first degree. In 1917 he was awarded his Ph.D. and then he spent several years teaching in secondary schools and colleges. In 1930 Enskog was appointed professor of mathematics and mechanics at the Royal Institute of Technology in Stockholm. Enskog worked on the Maxwell Boltzmann equations. These had first been formulated by Maxwell in 1867 to describe the flow of molecules, momentum and energy of a gas. This was reformulated by Boltzmann in 1872 in terms of a velocity distribution function. Enskog began to work on this equation for his master's degree at Uppsala and made a remarkable prediction. If a mixture of two gases is subjected to a temperature difference, the gas with the larger molecules concentrates at the lower temperature. A simple theory does not predict this behaviour. However Enskog predicted it in a paper written in 1911. In 1917 Chapman independently predicted it, but their theory was questioned until

2. Centrums Enskilda Personarkiv Eneström, Gustaf Hjalmar, 18521923, matematisk statistiker, bibliograf. enskog,david. Eriksson, Jacob, 1848-1931, botanist, manuskript och brevsaml. http://www.cfvh.kva.se/CVH023.htm

(För person/ämnessökning rekommenderas användning av det egna Internetsprogrammets/browserns sökfunktion som återfinns under "Edit och Find", åkallas med "ctrl+F" eller liknande.) Ahlmann, Hans W:son, 1822-1896, geograf, glaciolog, polarforskare Almquist, Sigfrid, 1844-1923, botanist, manuskript och brev Aminoff, Gregori, 1883-1942, mineralog, manuskript och brev Andersson, Johan Gunnar, 1874-1960, geolog, polarforskare, arkeolog, "Kina-Gunnar" Andersson, Nils Johan, 1821-1880, botanist, 16 manuskript och brevsaml. Angelin, Nils Peter, 1805-1876, paleontolog, 32 manuskript och brevsaml Areschoug, Johan Erhard, 1811-1887, botanist, 1 manuskript och brevsaml. Arrhenius, Maja Arrhenius, Svante, 1859-1927, fysiker, kemist, 30 manuskript brevsaml. Aurivillius, Christopher, 1853-1928, entomolog, 13 manuskript och brevsaml. Bergius, Bengt Bergius, P. J. Bernoulli, Jean

3. Lebensdaten Von Mathematikern Translate this page Ferdinand Gotthold Max (16.4.1823 - 11.10.1852) Engel, Friedrich (1861 - 1941)Enriques, Federigo (1871 - 1946) enskog, david (1884 - 1947) von Eötvös http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html

Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers in some old and distant town from places no one here remembers come the things we've handed down. Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

4. Enskog Biography of david enskog (18841947) david enskog. Born 22 April 1884 in Västra Ämtervik, Värmland, Sweden http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Enskog.html

David Enskog Born: Died: 1 June 1947 in Stockholm, Sweden Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index After completing his secondary schooling, David Enskog entered Uppsala University. He continued to study there for his doctorate after taking his first degree. In 1917 he was awarded his Ph.D. and then he spent several years teaching in secondary schools and colleges. In 1930 Enskog was appointed professor of mathematics and mechanics at the Royal Institute of Technology in Stockholm. Enskog worked on the Maxwell Boltzmann equations. These had first been formulated by Maxwell in 1867 to describe the flow of molecules, momentum and energy of a gas. This was reformulated by Boltzmann in 1872 in terms of a velocity distribution function. Enskog began to work on this equation for his master's degree at Uppsala and made a remarkable prediction. If a mixture of two gases is subjected to a temperature difference, the gas with the larger molecules concentrates at the lower temperature. A simple theory does not predict this behaviour. However Enskog predicted it in a paper written in 1911. In 1917 Chapman independently predicted it, but their theory was questioned until

5. References For Enskog References for david enskog. Biography 1965). Articles H Faxen, david enskog,Svenskt biografiskt lexikon XIII (Stockholm, 1950), 765767. http://www-gap.dcs.st-and.ac.uk/~history/References/Enskog.html

References for David Enskog Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: S G Brush, Kinetic theory (3 vols) (Oxford, 1965). Articles: H Faxen, David Enskog, Svenskt biografiskt lexikon XIII (Stockholm, 1950), 765-767. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Enskog.html

6. The Enskog Heritage THE enskog HERITAGE September 23, 1317, 1997. david enskog, professor of mathematics and mechanics at KTH 1930-1947, is most known as one of the originators of the Chapman-enskog method. http://www.mech.kth.se/~lhs/EnskogH.html

KTH, Department of Mechanics , Stockholm, Sweden THE ENSKOG HERITAGE September 23, 13-17, 1997. David Enskog, professor of mathematics and mechanics at KTH 1930-1947, is most known as one of the originators of the Chapman-Enskog method. Through it, it was possible for the first time to derive the Navier-Stokes equations for a gas from the Boltzmann equation. The viscosity and heat conductivity were derived from the properties of molecular interaction. He is also known for the so-called Enskog equation, pertaining to denser gases. The ideas of Enskog are today continuing to be fruitful. This year 50 years have passed since the death of David Enskog. Program, with preliminary titles of lectures 13.15 Janne Carlsson, president of KTH, opens the meeting. Yoshio Sone, Professor, Kyoto University, "Fluid dynamics in the light of kinetic theory". Inauguration of David Enskog lecture 14.15 Mats Fridlund, civ.ing., KTH, "The fall and rise of David Enskog" 14.50 Refreshments 15.30 Alf Sjölander, Professor, Chalmers, "Liquids and dense gases - from Boltzmann-Chapman-Enskog to the present" 16.15 Mikhail Dzugutov, Dr., KTH, "Enskog's ideas and atomic diffusion in liquids"

7. The Enskog Heritage david enskog, professor of mathematics and mechanics at KTH 19301947, ismost known as one of the originators of the Chapman-enskog method. http://www2.mech.kth.se/~lhs/EnskogH.html

KTH, Department of Mechanics , Stockholm, Sweden THE ENSKOG HERITAGE September 23, 13-17, 1997. David Enskog, professor of mathematics and mechanics at KTH 1930-1947, is most known as one of the originators of the Chapman-Enskog method. Through it, it was possible for the first time to derive the Navier-Stokes equations for a gas from the Boltzmann equation. The viscosity and heat conductivity were derived from the properties of molecular interaction. He is also known for the so-called Enskog equation, pertaining to denser gases. The ideas of Enskog are today continuing to be fruitful. This year 50 years have passed since the death of David Enskog. Program, with preliminary titles of lectures 13.15 Janne Carlsson, president of KTH, opens the meeting. Yoshio Sone, Professor, Kyoto University, "Fluid dynamics in the light of kinetic theory". Inauguration of David Enskog lecture 14.15 Mats Fridlund, civ.ing., KTH, "The fall and rise of David Enskog" 14.50 Refreshments 15.30 Alf Sjölander, Professor, Chalmers, "Liquids and dense gases - from Boltzmann-Chapman-Enskog to the present" 16.15 Mikhail Dzugutov, Dr., KTH, "Enskog's ideas and atomic diffusion in liquids"

8. Neue Seite 1 Translate this page Engel, Friedrich (1861 - 1941). Enriques, Federigo (1871 - 1946). enskog, david(1884 - 1947). von Eötvös, Roland (1848 - 1919). Epstein, Paul (1871 - 1939). http://www.mathe-ecke.de/mathematiker.htm

Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843) Aepinus, Franz Ulrich Theodosius (13.12.1724 - 10.8.1802) Agnesi, Maria (1718 - 1799) Ahlfors, Lars (1907 - 1996) Ahmed ibn Yusuf (835 - 912) Ahmes (um 1680 - um 1620 v. Chr.) Aida Yasuaki (1747 - 1817) Aiken, Howard Hathaway (1900 - 1973) Airy, George Biddell (27.7.1801 - 2.1.1892) Aithoff, David (1854 - 1934) Aitken, Alexander (1895 - 1967) Ajima, Chokuyen (1732 - 1798) Akhiezer, Naum Il'ich (1901 - 1980) al'Battani, Abu Allah (um 850 - 929) al'Biruni, Abu Arrayhan (973 - 1048) al'Chaijami (? - 1123) al'Haitam, Abu Ali (965 - 1039) al'Kashi, Ghiyath (1390 - 1450) al'Khwarizmi, Abu Abd-Allah ibn Musa (um 790 - um 850) Albanese, Giacomo (1890 - 1948) Albert von Sachsen (1316 - 8.7.1390)

9. References For Enskog References for the biography of david enskog References for david enskog. Biography in Dictionary of Scientific Biography (New York 19701990). http://www-history.mcs.st-and.ac.uk/References/Enskog.html

References for David Enskog Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: S G Brush, Kinetic theory (3 vols) (Oxford, 1965). Articles: H Faxen, David Enskog, Svenskt biografiskt lexikon XIII (Stockholm, 1950), 765-767. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Enskog.html

10. © 1998-2001 Sommerfeld-Projekt. Ausgelesen Am 24. Januar 2001 Translate this page david enskog an Arnold Sommerfeld, 25. September 1917 Archiv München,DM (Archiv HS 1977-28/A,85) enskog macht detaillierte Ausführungen http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/01309.html

David Enskog an Arnold Sommerfeld, 25. September 1917 Archiv: (Archiv HS 1977-28/A,85) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

11. Untitled david enskog an Arnold Sommerfeld, 13. November 1917 http://www.lrz-muenchen.de/~Sommerfeld/BriefDat/01310.html

David Enskog an Arnold Sommerfeld, 13. November 1917 Archiv: (Archiv HS 1977-28/A,85) Stichworte Personen: Enskog, David (1884-1947) Wissenschaft: Start Biographie Projekt Online-Suche

12. © 1998-2002 Sommerfeld-Projekt. Ausgelesen Am 29. Dezember 2002 Translate this page david enskog an Arnold Sommerfeld, 13. November 1917 Archiv München,DM (Archiv HS 1977-28/A,85) enskog bedankt sich für die http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/01310.html

David Enskog an Arnold Sommerfeld, 13. November 1917 Archiv: (Archiv HS 1977-28/A,85) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

13. Enskog Portrait Portrait of david enskog david enskog. JOC/EFR August 2001 http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Enskog.html

David Enskog JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Enskog.html

14. Biography-center - Letter E enskog, david wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/enskog.html;Ensor, James www.getty.edu/art/collections/bio/a253-1.html; http://www.biography-center.com/e.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish E 272 biographies Eadred, www.britannia.com/history/monarchs/mon10.html Eadwig, www.britannia.com/history/monarchs/mon11.html Eagan, Edward www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=52407 Eagles, www.hotelcal.com Eakins, Thomas www.ibiblio.org/wm/paint/auth/eakins/ Eakins, Thomas www.getty.edu/art/collections/bio/a1729-1.html Eakins, Thomas www.pbs.org/wnet/americanmasters/database/eakins_t.html Eales, Henry www.whonamedit.com/doctor.cfm/1429.html Earl of Aberdeen, www.spartacus.schoolnet.co.uk/PRaberdeen.htm Earl of Derby, www.spartacus.schoolnet.co.uk/PRderby1.htm Early, Jubal Anderson civilwarhome.com/earlybio.htm Earnhardt (Ralph), Dale www.hickoksports.com/biograph/earnhardtd.shtml Easterly, Thomas Martin

15. Full Alphabetical Index List of mathematical biographies indexed alphabetically Enriques, Federigo (470*). enskog, david (386*). Eötvös, Lórand von (159*) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Full_Alph.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (1317*) Adrianus , Romanus (419) Aepinus , Franz (822) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (2362*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912*) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

16. Preface Einstein, Albert (K); Emden, Robert (A,I,K); enskog, david (H); Eucken,Arnold (G,It); Fermi, Enrico (E); Fowler, Alfred (F); Fowler, RH http://www.amphilsoc.org/library/guides/ahqp/survey.htm

3. The Library Survey In March, 1963, the project addressed itself to about 250 European libraries, academies, and archives selected from The World of Learning The response to our request was most gratifying, over 60 per cent of the institutions addressed answering. Of these, 29 indicated holdings of relevant material, notice of which has been included, when appropriate, in Chapter II. The names of the institutions giving positive responses make up the third item in this appendix. The institutions are listed by region and, within each region, alphabetically by city. A given collection, in so far as it has been incorporated in Chapter II, can be reconstructed from the index entries under the name of the institution in question. REGIONS Austria and Switzerland Belgium and The Netherlands Berlin East Germany and Poland France, Italy and Spain Great Britain and Ireland Northern Germany Scandinavia Southern Germany U. S. S. R. Pre-War Germany GENERAL REGISTER KEYED TO INDICATE THE REGIONAL LISTINGS Back, Ernst (I,K) Barkla, C. G. (F)

17. Untitled Ivor (19041983); Ehrenberg, Rudolf (1884-1969); enskog, david (1884-1947); Ewald, Paul (1888-1985); Feather, Norman http://www.lrz-muenchen.de/~Sommerfeld/BriefDat/02942.html

Max Born an Arnold Sommerfeld, 24. Mai 1946 Archiv: (Archiv NL 89, 006) Brief (4 Seiten) aus Edinburgh; Sprache: deutsch, Schrift: lateinisch. Stichworte Personen: Wissenschaft: Reihen: Nachfolge Barkla; Reise; Studenten; Vorlesung Institution: Department, mathematische Physik; Dublin, Institute for Advanced Studies; Edinburgh, U; Glasgow, U; Saint Andrews, U Start Biographie Projekt Online-Suche

18. Transition Regimes For Linear Kinetic Equations By David Levermore david Levermore Department of Mathematics University of Arizona Traditionally momentclosures or Chapmanenskog type expansions have been used to derive such http://www.ima.umn.edu/reactive/abstract/levermore2.html

Search Contact Information Program Registration Postdoc/Membership Application Program Feedback ... Program Solicitation Talk Abstract: Transition Regimes for Linear Kinetic Equations David Levermore Department of Mathematics University of Arizona This talk presents a framework for deriving well-posed transition regime models. Traditionally moment closures or Chapman-Enskog type expansions have been used to derive such models. Moment closures lead to large first-order systems while expansions yield a single higher order equation that can be ill-posed. Elements of both these traditional approaches are present in the new framework, which yields well-posed systems of moderate size and order that capture the same formal accuracy as both larger moment systems and higher order Chapman-Enskog approximations. Back to Workshop Schedule Back to Reactive Flow and Transport Phenomena Homepage About the IMA ... "Hot Topics" Workshops

19. IMA Workshop: Simulation Of Transport In Transition Regimes, May 22-26, 2000 a variety of advanced models such us moment based models, Chapmannenskog and Burnett 200pm, david Goldstein University of Texas at Austin, Hybrid Solution of http://www.ima.umn.edu/reactive/spring/rf9.html

Search Contact Information Program Registration Postdoc/Membership Application Program Feedback ... Program Solicitation Spring 2000 IMA Workshop: Simulation of Transport in Transition Regimes May 22-26, 2000 Organizers: Pierre Degond MIP, CNRS et Universite Paul Sabatier degond@mip.ups-tlse.fr Irene Gamba Department of Mathematics University of Texas, Austin gamba@math.utexas.edu Robert Glassey Department of Mathematics Indiana University glassey@indiana.edu Philip Roe Department of Aerospace Engineering University of Michigan philroe@umich.edu Schedule Participants Registration ... Material from IMA Talks Technology is increasingly advancing into regimes in which particle mean-free paths are comparable to the length scales of interest, and where traditional transport models therefore break down. For example, drift-diffusion models of electron-hole transport break down for submicron semiconductors because the scale of interest are very small, while Navier-Stokes approximations of fluid dynamics break down in outer planetary atmospheres or space shuttle reentry problem, where the mean free path are very large. Such situations can be described by particle simulations but the cost of carrying these out is much greater than that of small mean-free path models, often becoming prohibitive when one is near small mean-free path regimes. This makes the simulation of problems in which transition regimes coexist with small mean-free path regimes particularly difficult. This difficulty is compounded when the geometry is complicated or even random.

20. Liste Provisoire DicoMeca (A-E) Translate this page ENCKE, Johann Franz, 1791 - 1865, BE, 145. enskog, david, 1884 -1947, AM, 146. ERATOSTHENE, 284 AC - 192 AC, BE, 147. ESHELBY,JD, AM, 148. http://www.afm.asso.fr/aum/PROJETS/DicoMeca/ListDM_AE.html

(document de travail) Page 1 : A-E NOM Dates Responsable A b c d e ... n-z ACKERET Jakob [PAB] AGRICOLA [JF] AIRY George Bidell [JC] AL BIRUNI Abu Raihan [BE] AL-BAKRI A. A. [BE] AL-BATTANI (ALBATEGNUS) Mohammad Ibn Jabir ca. 868 - 929 [BE] AL-BETRUGI (ALPETRAGIUS) Nour Al-Dine - ca. 1100 [BE] AL-BUZJANI Abul Wafa Mohammad [BE] AL-FARABI (ABLUFARABIUS) Mohammed Abu Nasr (Avennasar) ca. 870 - 950 [BE] AL-FARGHANI (ALFRAGANUS) [BE] ALFVEN Hannes [BE] AL-KHAWARIZMI IBN MOUSA Mohammad ca. 800 - ca. 850 [BE] AL-KHAYYAM Omar ca. 1044 - 1123 [BE] AL-KHUJANDI Hamid Ibn Al-Khidr ca. 940 - 1000 [BE] ALMANSI Emilio [JC] AL-OURDI Mouayyed Al Dine [BE] AL-QUHI Abou Sahl Wayjan Ibn Rustom ca. 940 - ca. 1000 [BE] AL-SHIRAZI Qotb Al-Dine [BE] AL-TUSI Nasir Al-Dine [BE] AL-ZARQALI (ARZACHEL) Ibrahim Ibn Yahiya [BE] AMONTONS Guillaume [JF] APOLLONIOS de PERGA 200 AC - 100 AC [BE] APPELL Paul [JC] ARAGO [PO] ARCHARD John Frederic [JF] ARCHIMEDE ca. 287 AC - 212 AC [PAB] ARCHYTAS de TARENTE [BE] ARISTARQUE de SAMOS ca. 310 AC - ca. 230 AC [PAB] ARISTOTE 384 AC - 322 AC [PAB] ARYABHATA I [BE] ATWOOD George [PP] a B c d e f-m ... n-z BALIANI Giovan Battista [PAB] BARNARD Edward [BE] BARWELL [JF] BATCHELOR George Keith [AM] BAUSCHINGER [PP] BEECKMAN Isaac [PAB] BELANGER J.B.

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