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Manfred W. Padberg - Wikipedia
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.infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Manfred Wilhelm Padberg</div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none">(<span class="bday">1941-10-10</span>)</span>October 10, 1941<br /><div style="display:inline" class="birthplace"><a href="/wiki/Bottrop,_Germany" class="mw-redirect" title="Bottrop, Germany">Bottrop, Germany</a></div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/Carnegie_Mellon_University" title="Carnegie Mellon University">Carnegie Mellon University</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/John_von_Neumann_Theory_Prize" title="John von Neumann Theory Prize">John von Neumann Theory Prize</a></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/New_York_University" title="New York University">New York University</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i> Essays in Integer Programming </i> <span style="font-size:97%;">(1971)</span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="/wiki/Egon_Balas" title="Egon Balas">Egon Balas</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Manfred Wilhelm Padberg</b> (October 10, 1941 in <a href="/wiki/Bottrop,_Germany" class="mw-redirect" title="Bottrop, Germany">Bottrop, Germany</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>–May 12, 2014) was a German mathematician who worked with <a href="/wiki/Linear_optimization" class="mw-redirect" title="Linear optimization">linear</a> and <a href="/wiki/Combinatorial_optimization" title="Combinatorial optimization">combinatorial optimization</a>. He and <a href="/wiki/Ellis_L._Johnson" title="Ellis L. Johnson">Ellis L. Johnson</a> won the <a href="/wiki/John_von_Neumann_Theory_Prize" title="John von Neumann Theory Prize">John von Neumann Theory Prize</a> in 2000. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Manfred_W._Padberg&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Padberg grew up in Zagreb, Croatia, and Westphalia. From 1961 he studied mathematics at the <a href="/wiki/University_of_M%C3%BCnster" title="University of Münster">University of Münster</a>, where he graduated in 1967. In 1967, he was a research assistant at the <a href="/wiki/University_of_Mannheim" title="University of Mannheim">University of Mannheim</a>. Starting in September 1968, he studied at <a href="/wiki/Carnegie_Mellon_University" title="Carnegie Mellon University">Carnegie Mellon University</a>, where he obtained a master's degree and his Ph.D. (1971) in Industrial Administration. His advisor was <a href="/wiki/Egon_Balas" title="Egon Balas">Egon Balas</a> and his dissertation was titled <i>Essays in Integer Programming</i>. </p><p>Afterwards he worked from 1971 to 1974 at the Berlin Science Center. From 1974, he was Associate Professor and, from 1978, Professor of Operations Research at <a href="/wiki/New_York_University" title="New York University">New York University</a>. He became a professor emeritus in 2002. He moved to Paris in 2002. </p> <div class="mw-heading mw-heading2"><h2 id="Recognition">Recognition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Manfred_W._Padberg&action=edit&section=2" title="Edit section: Recognition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>He, <a href="/wiki/Martin_Shubik" title="Martin Shubik">Martin Shubik</a>, <a href="/wiki/Ellis_L._Johnson" title="Ellis L. Johnson">Ellis L. Johnson</a>, and Harlan Crowder won the <a href="/wiki/Frederick_W._Lanchester_Prize" title="Frederick W. Lanchester Prize">Frederick W. Lanchester Prize</a> in 1983. He was elected to the 2002 class of <a href="/wiki/Fellow" title="Fellow">Fellows</a> of the <a href="/wiki/Institute_for_Operations_Research_and_the_Management_Sciences" title="Institute for Operations Research and the Management Sciences">Institute for Operations Research and the Management Sciences</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Personal_life">Personal life</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Manfred_W._Padberg&action=edit&section=3" title="Edit section: Personal life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>He died in 2014 from cancer.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Works">Works</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Manfred_W._Padberg&action=edit&section=4" title="Edit section: Works"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>M. Padberg, <i>Linear Optimization and Extensions</i>, Springer-Verlag, 1999.</li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Manfred_W._Padberg&action=edit&section=5" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://epubs.siam.org/doi/abs/10.1137/1.9780898718805.ch1">"Manfred Padberg"</a>. <i>Society for Industrial and Applied Mathematics</i><span class="reference-accessdate">. Retrieved <span class="nowrap">19 August</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Society+for+Industrial+and+Applied+Mathematics&rft.atitle=Manfred+Padberg&rft_id=https%3A%2F%2Fepubs.siam.org%2Fdoi%2Fabs%2F10.1137%2F1.9780898718805.ch1&rfr_id=info%3Asid%2Fen.wikipedia.org%3AManfred+W.+Padberg" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation cs2"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20190510220119/https://www.informs.org/Recognizing-Excellence/Fellows/Fellows-Alphabetical-List"><i>Fellows: Alphabetical List</i></a>, <a href="/wiki/Institute_for_Operations_Research_and_the_Management_Sciences" title="Institute for Operations Research and the Management Sciences">Institute for Operations Research and the Management Sciences</a>, archived from <a rel="nofollow" class="external text" href="https://www.informs.org/Recognizing-Excellence/Fellows/Fellows-Alphabetical-List">the original</a> on 2019-05-10<span class="reference-accessdate">, retrieved <span class="nowrap">2019-10-09</span></span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Fellows%3A+Alphabetical+List&rft.pub=Institute+for+Operations+Research+and+the+Management+Sciences&rft_id=https%3A%2F%2Fwww.informs.org%2FRecognizing-Excellence%2FFellows%2FFellows-Alphabetical-List&rfr_id=info%3Asid%2Fen.wikipedia.org%3AManfred+W.+Padberg" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.informs.org/ORMS-Today/Public-Articles/August-Volume-41-Number-4/In-Memoriam-Manfred-W.-Padberg-1941-2014">"In Memoriam: Manfred W. Padberg (1941-2014)"</a>. <i>Informs</i><span class="reference-accessdate">. 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title="Richard Bellman">Richard Bellman</a> <small>(1976)</small></li> <li><a href="/wiki/Felix_Pollaczek" class="mw-redirect" title="Felix Pollaczek">Felix Pollaczek</a> <small>(1977)</small></li> <li><a href="/wiki/John_Forbes_Nash_Jr." title="John Forbes Nash Jr.">John F. Nash</a> / <a href="/wiki/Carlton_E._Lemke" title="Carlton E. Lemke">Carlton E. Lemke</a> <small>(1978)</small></li> <li><a href="/wiki/David_Blackwell" title="David Blackwell">David Blackwell</a> <small>(1979)</small></li> <li><a href="/wiki/David_Gale" title="David Gale">David Gale</a> / <a href="/wiki/Harold_W._Kuhn" title="Harold W. Kuhn">Harold W. Kuhn</a> / <a href="/wiki/Albert_W._Tucker" title="Albert W. Tucker">Albert W. Tucker</a> <small>(1980)</small></li> <li><a href="/wiki/Lloyd_Shapley" title="Lloyd Shapley">Lloyd Shapley</a> <small>(1981)</small></li> <li><a href="/wiki/Abraham_Charnes" title="Abraham Charnes">Abraham Charnes</a> / <a href="/wiki/William_W._Cooper" title="William W. Cooper">William W. Cooper</a> / <a href="/wiki/Richard_J._Duffin" class="mw-redirect" title="Richard J. Duffin">Richard J. Duffin</a> <small>(1982)</small></li> <li><a href="/wiki/Herbert_Scarf" title="Herbert Scarf">Herbert Scarf</a> <small>(1983)</small></li> <li><a href="/wiki/Ralph_Gomory" class="mw-redirect" title="Ralph Gomory">Ralph Gomory</a> <small>(1984)</small></li> <li><a href="/wiki/Jack_Edmonds" title="Jack Edmonds">Jack Edmonds</a> <small>(1985)</small></li> <li><a href="/wiki/Kenneth_Arrow" title="Kenneth Arrow">Kenneth Arrow</a> <small>(1986)</small></li> <li><a href="/wiki/Samuel_Karlin" title="Samuel Karlin">Samuel Karlin</a> <small>(1987)</small></li> <li><a href="/wiki/Herbert_A._Simon" title="Herbert A. Simon">Herbert A. Simon</a> <small>(1988)</small></li> <li><a href="/wiki/Harry_Markowitz" title="Harry Markowitz">Harry Markowitz</a> <small>(1989)</small></li> <li><a href="/wiki/Richard_Karp" class="mw-redirect" title="Richard Karp">Richard Karp</a> <small>(1990)</small></li> <li><a href="/wiki/Richard_E._Barlow" title="Richard E. Barlow">Richard E. Barlow</a> / <a href="/w/index.php?title=Frank_Proschan&action=edit&redlink=1" class="new" title="Frank Proschan (page does not exist)">Frank Proschan</a> <small>(1991)</small></li> <li><a href="/wiki/Alan_J._Hoffman" title="Alan J. Hoffman">Alan J. Hoffman</a> / <a href="/wiki/Philip_Wolfe_(mathematician)" title="Philip Wolfe (mathematician)">Philip Wolfe</a> <small>(1992)</small></li> <li><a href="/wiki/Robert_Herman" title="Robert Herman">Robert Herman</a> <small>(1993)</small></li> <li><a href="/wiki/Lajos_Takacs" class="mw-redirect" title="Lajos Takacs">Lajos Takacs</a> <small>(1994)</small></li> <li><a href="/wiki/Egon_Balas" title="Egon Balas">Egon Balas</a> <small>(1995)</small></li> <li><a href="/wiki/Peter_C._Fishburn" title="Peter C. Fishburn">Peter C. Fishburn</a> <small>(1996)</small></li> <li><a href="/wiki/Peter_Whittle_(mathematician)" title="Peter Whittle (mathematician)">Peter Whittle</a> <small>(1997)</small></li> <li><a href="/wiki/Fred_W._Glover" title="Fred W. Glover">Fred W. Glover</a> <small>(1998)</small></li> <li><a href="/wiki/R._Tyrrell_Rockafellar" title="R. Tyrrell Rockafellar">R. Tyrrell Rockafellar</a> <small>(1999)</small></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">2000–present</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ellis_L._Johnson" title="Ellis L. Johnson">Ellis L. Johnson</a> / <a class="mw-selflink selflink">Manfred W. Padberg</a> <small>(2000)</small></li> <li><a href="/wiki/Ward_Whitt" title="Ward Whitt">Ward Whitt</a> <small>(2001)</small></li> <li><a href="/w/index.php?title=Donald_L._Iglehart&action=edit&redlink=1" class="new" title="Donald L. Iglehart (page does not exist)">Donald L. Iglehart</a> / <a href="/wiki/Cyrus_Derman" title="Cyrus Derman">Cyrus Derman</a> <small>(2002)</small></li> <li><a href="/wiki/Arkadi_Nemirovski" title="Arkadi Nemirovski">Arkadi Nemirovski</a> / <a href="/w/index.php?title=Michael_Jeremy_Todd&action=edit&redlink=1" class="new" title="Michael Jeremy Todd (page does not exist)">Michael J. Todd</a> <small>(2003)</small></li> <li><a href="/wiki/J._Michael_Harrison" title="J. Michael Harrison">J. Michael Harrison</a> <small>(2004)</small></li> <li><a href="/wiki/Robert_Aumann" title="Robert Aumann">Robert Aumann</a> <small>(2005)</small></li> <li><a href="/wiki/Martin_Gr%C3%B6tschel" title="Martin Grötschel">Martin Grötschel</a> / <a href="/wiki/L%C3%A1szl%C3%B3_Lov%C3%A1sz" title="László Lovász">László Lovász</a> / <a href="/wiki/Alexander_Schrijver" title="Alexander Schrijver">Alexander Schrijver</a> <small>(2006)</small></li> <li><a href="/w/index.php?title=Arthur_F._Veinott,_Jr.&action=edit&redlink=1" class="new" title="Arthur F. Veinott, Jr. (page does not exist)">Arthur F. Veinott, Jr.</a> <small>(2007)</small></li> <li><a href="/wiki/Frank_Kelly_(mathematician)" title="Frank Kelly (mathematician)">Frank Kelly</a> <small>(2008)</small></li> <li><a href="/wiki/Yurii_Nesterov" title="Yurii Nesterov">Yurii Nesterov</a> / <a href="/wiki/Yinyu_Ye" title="Yinyu Ye">Yinyu Ye</a> <small>(2009)</small></li> <li><a href="/w/index.php?title=S%C3%B8ren_Asmussen&action=edit&redlink=1" class="new" title="Søren Asmussen (page does not exist)">Søren Asmussen</a> / <a href="/w/index.php?title=Peter_W._Glynn&action=edit&redlink=1" class="new" title="Peter W. Glynn (page does not exist)">Peter W. Glynn</a> <small>(2010)</small></li> <li><a href="/wiki/G%C3%A9rard_Cornu%C3%A9jols" title="Gérard Cornuéjols">Gérard Cornuéjols</a> <small>(2011)</small></li> <li><a href="/wiki/George_Nemhauser" title="George Nemhauser">George Nemhauser</a> / <a href="/wiki/Laurence_Wolsey" title="Laurence Wolsey">Laurence Wolsey</a> <small>(2012)</small></li> <li><a href="/wiki/Michel_Balinski" title="Michel Balinski">Michel Balinski</a> <small>(2013)</small></li> <li><a href="/wiki/Nimrod_Megiddo" title="Nimrod Megiddo">Nimrod Megiddo</a> <small>(2014)</small></li> <li><a href="/wiki/Va%C5%A1ek_Chv%C3%A1tal" class="mw-redirect" title="Vašek Chvátal">Vašek Chvátal</a> / <a href="/w/index.php?title=Jean_Bernard_Lasserre&action=edit&redlink=1" class="new" title="Jean Bernard Lasserre (page does not exist)">Jean Bernard Lasserre</a> <small>(2015)</small></li> <li><a href="/wiki/Martin_I._Reiman" title="Martin I. Reiman">Martin I. Reiman</a> / <a href="/wiki/Ruth_J._Williams" title="Ruth J. Williams">Ruth J. Williams</a> <small>(2016)</small></li> <li><a href="/wiki/Donald_Goldfarb" title="Donald Goldfarb">Donald Goldfarb</a> / <a href="/wiki/Jorge_Nocedal" title="Jorge Nocedal">Jorge Nocedal</a> <small>(2017)</small></li> <li><a href="/wiki/Dimitri_Bertsekas" title="Dimitri Bertsekas">Dimitri Bertsekas</a> / <a href="/wiki/John_Tsitsiklis" title="John Tsitsiklis">John Tsitsiklis</a> <small>(2018)</small></li> <li><a href="/wiki/Dimitris_Bertsimas" title="Dimitris Bertsimas">Dimitris Bertsimas</a> / <a href="/w/index.php?title=Jong-Shi_Pang&action=edit&redlink=1" class="new" title="Jong-Shi Pang (page does not exist)">Jong-Shi Pang</a> <small>(2019)</small></li> <li><a href="/wiki/Adrian_Lewis_(mathematician)" title="Adrian Lewis (mathematician)">Adrian Lewis</a> <small>(2020)</small></li> <li><a href="/wiki/Alexander_Shapiro" title="Alexander Shapiro">Alexander Shapiro</a> <small>(2021)</small></li> <li><a href="/wiki/Vijay_Vazirani" title="Vijay Vazirani">Vijay Vazirani</a> <small>(2022)</small></li> <li><a href="/wiki/Christos_Papadimitriou" title="Christos Papadimitriou">Christos Papadimitriou</a> / <a href="/wiki/Mihalis_Yannakakis" title="Mihalis Yannakakis">Mihalis Yannakakis</a> <small>(2023)</small></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q1620464#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q1620464#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q1620464#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, 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style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/172315700">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n80049400">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb125702129">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb125702129">BnF data</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=uk2009425435&CON_LNG=ENG">Czech Republic</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p070466424">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90829395">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007424072805171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=40583">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:padberg.manfred-w">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/135135">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" 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