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Dantzig's unsolved homework problems


Why are so many of the oldest unsolved problems in mathematics about number theory?Why are there so few Euclidean geometry problems that remain unsolved?Theory vs problems in modern mathFamous Problems the Experts Could not SolveWhat (previously and currently unsolved) problems motivate the study/development of analysis?The three unsolved problems of antiquityWhat are some of the Hardest Unsolved Mathematics Problems?Which conjecture has remained unsolved the longest?Was von Neumann's 1954 ICM address “Unsolved Problems in Mathematics” outdated?Did Hilbert present all of his problems to the ICM in 1900?













33












$begingroup$


From Wikipedia:




An event in George Dantzig's life became the origin of a famous
story in 1939 while he was a graduate student at UC Berkeley. Near the
beginning of a class for which Dantzig was late, professor Jerzy
Neyman wrote two examples of famously unsolved statistics problems on
the blackboard. When Dantzig arrived, he assumed that the two problems
were a homework assignment and wrote them down. According to Dantzig,
the problems "seemed to be a little harder than usual", but a few days
later he handed in completed solutions for the two problems, still
believing that they were an assignment that was overdue.




What were the two unsolved problems which Dantzig had solved?










share|cite|improve this question











$endgroup$







  • 1




    $begingroup$
    It seems that the two problems can be found in Dantzig's thesis.
    $endgroup$
    – Hagen von Eitzen
    Oct 20 '13 at 12:35















33












$begingroup$


From Wikipedia:




An event in George Dantzig's life became the origin of a famous
story in 1939 while he was a graduate student at UC Berkeley. Near the
beginning of a class for which Dantzig was late, professor Jerzy
Neyman wrote two examples of famously unsolved statistics problems on
the blackboard. When Dantzig arrived, he assumed that the two problems
were a homework assignment and wrote them down. According to Dantzig,
the problems "seemed to be a little harder than usual", but a few days
later he handed in completed solutions for the two problems, still
believing that they were an assignment that was overdue.




What were the two unsolved problems which Dantzig had solved?










share|cite|improve this question











$endgroup$







  • 1




    $begingroup$
    It seems that the two problems can be found in Dantzig's thesis.
    $endgroup$
    – Hagen von Eitzen
    Oct 20 '13 at 12:35













33












33








33


11



$begingroup$


From Wikipedia:




An event in George Dantzig's life became the origin of a famous
story in 1939 while he was a graduate student at UC Berkeley. Near the
beginning of a class for which Dantzig was late, professor Jerzy
Neyman wrote two examples of famously unsolved statistics problems on
the blackboard. When Dantzig arrived, he assumed that the two problems
were a homework assignment and wrote them down. According to Dantzig,
the problems "seemed to be a little harder than usual", but a few days
later he handed in completed solutions for the two problems, still
believing that they were an assignment that was overdue.




What were the two unsolved problems which Dantzig had solved?










share|cite|improve this question











$endgroup$




From Wikipedia:




An event in George Dantzig's life became the origin of a famous
story in 1939 while he was a graduate student at UC Berkeley. Near the
beginning of a class for which Dantzig was late, professor Jerzy
Neyman wrote two examples of famously unsolved statistics problems on
the blackboard. When Dantzig arrived, he assumed that the two problems
were a homework assignment and wrote them down. According to Dantzig,
the problems "seemed to be a little harder than usual", but a few days
later he handed in completed solutions for the two problems, still
believing that they were an assignment that was overdue.




What were the two unsolved problems which Dantzig had solved?







math-history mathematicians






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Oct 30 '15 at 22:26









J. M. is not a mathematician

61.2k5152290




61.2k5152290










asked Oct 20 '13 at 12:28









MaxMax

322249




322249







  • 1




    $begingroup$
    It seems that the two problems can be found in Dantzig's thesis.
    $endgroup$
    – Hagen von Eitzen
    Oct 20 '13 at 12:35












  • 1




    $begingroup$
    It seems that the two problems can be found in Dantzig's thesis.
    $endgroup$
    – Hagen von Eitzen
    Oct 20 '13 at 12:35







1




1




$begingroup$
It seems that the two problems can be found in Dantzig's thesis.
$endgroup$
– Hagen von Eitzen
Oct 20 '13 at 12:35




$begingroup$
It seems that the two problems can be found in Dantzig's thesis.
$endgroup$
– Hagen von Eitzen
Oct 20 '13 at 12:35










1 Answer
1






active

oldest

votes


















23












$begingroup$

I think the two problems appear in these papers:



Dantzig, George B.
"On the Non-Existence of Tests of 'Student's' Hypothesis Having Power Functions
Independent of Sigma."
Annals of Mathematical Statistics. No. 11; 1940 (pp. 186-192).



Dantzig, George B. and Abraham Wald. "On the Fundamental Lemma of Neyman and Pearson."
Annals of Mathematical Statistics. No. 22; 1951 (pp. 87-93).



Read more at http://www.snopes.com/college/homework/unsolvable.asp#6oJOtz9WKFQUHhbw.99



EDIT: In case snopes ever goes belly up, the story can be found in Albers, Reid, and Dantzig, An Interview with George B. Dantzig: The Father of Linear Programming, College Math J 17 (1986) 292-314. The interview has also been reprinted in Albers, Alexanderson, and Reid, More Mathematical People, page 67.






share|cite|improve this answer











$endgroup$








  • 3




    $begingroup$
    A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
    $endgroup$
    – Michael Scott Cuthbert
    Aug 27 '14 at 15:08






  • 13




    $begingroup$
    Could you at least write the problems and/or results here?
    $endgroup$
    – BlueRaja - Danny Pflughoeft
    Jul 27 '17 at 15:31






  • 1




    $begingroup$
    A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
    $endgroup$
    – Dale
    Mar 30 at 0:55











Your Answer





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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









23












$begingroup$

I think the two problems appear in these papers:



Dantzig, George B.
"On the Non-Existence of Tests of 'Student's' Hypothesis Having Power Functions
Independent of Sigma."
Annals of Mathematical Statistics. No. 11; 1940 (pp. 186-192).



Dantzig, George B. and Abraham Wald. "On the Fundamental Lemma of Neyman and Pearson."
Annals of Mathematical Statistics. No. 22; 1951 (pp. 87-93).



Read more at http://www.snopes.com/college/homework/unsolvable.asp#6oJOtz9WKFQUHhbw.99



EDIT: In case snopes ever goes belly up, the story can be found in Albers, Reid, and Dantzig, An Interview with George B. Dantzig: The Father of Linear Programming, College Math J 17 (1986) 292-314. The interview has also been reprinted in Albers, Alexanderson, and Reid, More Mathematical People, page 67.






share|cite|improve this answer











$endgroup$








  • 3




    $begingroup$
    A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
    $endgroup$
    – Michael Scott Cuthbert
    Aug 27 '14 at 15:08






  • 13




    $begingroup$
    Could you at least write the problems and/or results here?
    $endgroup$
    – BlueRaja - Danny Pflughoeft
    Jul 27 '17 at 15:31






  • 1




    $begingroup$
    A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
    $endgroup$
    – Dale
    Mar 30 at 0:55















23












$begingroup$

I think the two problems appear in these papers:



Dantzig, George B.
"On the Non-Existence of Tests of 'Student's' Hypothesis Having Power Functions
Independent of Sigma."
Annals of Mathematical Statistics. No. 11; 1940 (pp. 186-192).



Dantzig, George B. and Abraham Wald. "On the Fundamental Lemma of Neyman and Pearson."
Annals of Mathematical Statistics. No. 22; 1951 (pp. 87-93).



Read more at http://www.snopes.com/college/homework/unsolvable.asp#6oJOtz9WKFQUHhbw.99



EDIT: In case snopes ever goes belly up, the story can be found in Albers, Reid, and Dantzig, An Interview with George B. Dantzig: The Father of Linear Programming, College Math J 17 (1986) 292-314. The interview has also been reprinted in Albers, Alexanderson, and Reid, More Mathematical People, page 67.






share|cite|improve this answer











$endgroup$








  • 3




    $begingroup$
    A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
    $endgroup$
    – Michael Scott Cuthbert
    Aug 27 '14 at 15:08






  • 13




    $begingroup$
    Could you at least write the problems and/or results here?
    $endgroup$
    – BlueRaja - Danny Pflughoeft
    Jul 27 '17 at 15:31






  • 1




    $begingroup$
    A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
    $endgroup$
    – Dale
    Mar 30 at 0:55













23












23








23





$begingroup$

I think the two problems appear in these papers:



Dantzig, George B.
"On the Non-Existence of Tests of 'Student's' Hypothesis Having Power Functions
Independent of Sigma."
Annals of Mathematical Statistics. No. 11; 1940 (pp. 186-192).



Dantzig, George B. and Abraham Wald. "On the Fundamental Lemma of Neyman and Pearson."
Annals of Mathematical Statistics. No. 22; 1951 (pp. 87-93).



Read more at http://www.snopes.com/college/homework/unsolvable.asp#6oJOtz9WKFQUHhbw.99



EDIT: In case snopes ever goes belly up, the story can be found in Albers, Reid, and Dantzig, An Interview with George B. Dantzig: The Father of Linear Programming, College Math J 17 (1986) 292-314. The interview has also been reprinted in Albers, Alexanderson, and Reid, More Mathematical People, page 67.






share|cite|improve this answer











$endgroup$



I think the two problems appear in these papers:



Dantzig, George B.
"On the Non-Existence of Tests of 'Student's' Hypothesis Having Power Functions
Independent of Sigma."
Annals of Mathematical Statistics. No. 11; 1940 (pp. 186-192).



Dantzig, George B. and Abraham Wald. "On the Fundamental Lemma of Neyman and Pearson."
Annals of Mathematical Statistics. No. 22; 1951 (pp. 87-93).



Read more at http://www.snopes.com/college/homework/unsolvable.asp#6oJOtz9WKFQUHhbw.99



EDIT: In case snopes ever goes belly up, the story can be found in Albers, Reid, and Dantzig, An Interview with George B. Dantzig: The Father of Linear Programming, College Math J 17 (1986) 292-314. The interview has also been reprinted in Albers, Alexanderson, and Reid, More Mathematical People, page 67.







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited Mar 30 at 3:15

























answered Oct 20 '13 at 12:37









Gerry MyersonGerry Myerson

148k8152306




148k8152306







  • 3




    $begingroup$
    A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
    $endgroup$
    – Michael Scott Cuthbert
    Aug 27 '14 at 15:08






  • 13




    $begingroup$
    Could you at least write the problems and/or results here?
    $endgroup$
    – BlueRaja - Danny Pflughoeft
    Jul 27 '17 at 15:31






  • 1




    $begingroup$
    A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
    $endgroup$
    – Dale
    Mar 30 at 0:55












  • 3




    $begingroup$
    A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
    $endgroup$
    – Michael Scott Cuthbert
    Aug 27 '14 at 15:08






  • 13




    $begingroup$
    Could you at least write the problems and/or results here?
    $endgroup$
    – BlueRaja - Danny Pflughoeft
    Jul 27 '17 at 15:31






  • 1




    $begingroup$
    A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
    $endgroup$
    – Dale
    Mar 30 at 0:55







3




3




$begingroup$
A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
$endgroup$
– Michael Scott Cuthbert
Aug 27 '14 at 15:08




$begingroup$
A link to the first paper: projecteuclid.org/download/pdf_1/euclid.aoms/1177731912
$endgroup$
– Michael Scott Cuthbert
Aug 27 '14 at 15:08




13




13




$begingroup$
Could you at least write the problems and/or results here?
$endgroup$
– BlueRaja - Danny Pflughoeft
Jul 27 '17 at 15:31




$begingroup$
Could you at least write the problems and/or results here?
$endgroup$
– BlueRaja - Danny Pflughoeft
Jul 27 '17 at 15:31




1




1




$begingroup$
A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
$endgroup$
– Dale
Mar 30 at 0:55




$begingroup$
A link to the second paper: projecteuclid.org/DPubS?handle=euclid.aoms/… The problems in the two papers are complex enough that quoting them here is impractical.
$endgroup$
– Dale
Mar 30 at 0:55

















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Population.«El nacionalista Nikolic gana las elecciones presidenciales en Serbia»El europeísta Borís Tadic gana la segunda vuelta de las presidenciales serbias.Aleksandar Vucic, de ultranacionalista serbio a fervoroso europeístaKostunica condena la declaración del "falso estado" de Kosovo.Comienza el debate sobre la independencia de Kosovo en el TIJ.La Corte Internacional de Justicia dice que Kosovo no violó el derecho internacional al declarar su independenciaKosovo: Enviado de la ONU advierte tensiones y fragilidad.«Bruselas recomienda negociar la adhesión de Serbia tras el acuerdo sobre Kosovo»Monografía de Serbia.Bez smanjivanja Vojske Srbije.Military statistics Serbia and Montenegro.Šutanovac: Vojni budžet za 2009. godinu 70 milijardi dinara.Serbia-Montenegro shortens obligatory military service to six months.No hay justicia para las víctimas de los bombardeos de la OTAN.Zapatero reitera la negativa de España a reconocer la independencia de Kosovo.Anniversary of the signing of the Stabilisation and Association Agreement.Detenido en Serbia Radovan Karadzic, el criminal de guerra más buscado de Europa."Serbia presentará su candidatura de acceso a la UE antes de fin de año".Serbia solicita la adhesión a la UE.Detenido el exgeneral serbobosnio Ratko Mladic, principal acusado del genocidio en los Balcanes«Lista de todos los Estados Miembros de las Naciones Unidas que son parte o signatarios en los diversos instrumentos de derechos humanos de las Naciones Unidas»versión pdfProtocolo Facultativo de la Convención sobre la Eliminación de todas las Formas de Discriminación contra la MujerConvención contra la tortura y otros tratos o penas crueles, inhumanos o degradantesversión pdfProtocolo Facultativo de la Convención sobre los Derechos de las Personas con DiscapacidadEl ACNUR recibe con beneplácito el envío de tropas de la OTAN a Kosovo y se prepara ante una posible llegada de refugiados a Serbia.Kosovo.- El jefe de la Minuk denuncia que los serbios boicotearon las legislativas por 'presiones'.Bosnia and Herzegovina. Population.Datos básicos de Montenegro, historia y evolución política.Serbia y Montenegro. Indicador: Tasa global de fecundidad (por 1000 habitantes).Serbia y Montenegro. Indicador: Tasa bruta de mortalidad (por 1000 habitantes).Population.Falleció el patriarca de la Iglesia Ortodoxa serbia.Atacan en Kosovo autobuses con peregrinos tras la investidura del patriarca serbio IrinejSerbian in Hungary.Tasas de cambio."Kosovo es de todos sus ciudadanos".Report for Serbia.Country groups by income.GROSS DOMESTIC PRODUCT (GDP) OF THE REPUBLIC OF SERBIA 1997–2007.Economic Trends in the Republic of Serbia 2006.National Accounts Statitics.Саопштења за јавност.GDP per inhabitant varied by one to six across the EU27 Member States.Un pacto de estabilidad para Serbia.Unemployment rate rises in Serbia.Serbia, Belarus agree free trade to woo investors.Serbia, Turkey call investors to Serbia.Success Stories.U.S. Private Investment in Serbia and Montenegro.Positive trend.Banks in Serbia.La Cámara de Comercio acompaña a empresas madrileñas a Serbia y Croacia.Serbia Industries.Energy and mining.Agriculture.Late crops, fruit and grapes output, 2008.Rebranding Serbia: A Hobby Shortly to Become a Full-Time Job.Final data on livestock statistics, 2008.Serbian cell-phone users.U Srbiji sve više računara.Телекомуникације.U Srbiji 27 odsto gradjana koristi Internet.Serbia and Montenegro.Тренд гледаности програма РТС-а у 2008. и 2009.години.Serbian railways.General Terms.El mercado del transporte aéreo en Serbia.Statistics.Vehículos de motor registrados.Planes ambiciosos para el transporte fluvial.Turismo.Turistički promet u Republici Srbiji u periodu januar-novembar 2007. godine.Your Guide to Culture.Novi Sad - city of culture.Nis - european crossroads.Serbia. Properties inscribed on the World Heritage List .Stari Ras and Sopoćani.Studenica Monastery.Medieval Monuments in Kosovo.Gamzigrad-Romuliana, Palace of Galerius.Skiing and snowboarding in Kopaonik.Tara.New7Wonders of Nature Finalists.Pilgrimage of Saint Sava.Exit Festival: Best european festival.Banje u Srbiji.«The Encyclopedia of world history»Culture.Centenario del arte serbio.«Djordje Andrejevic Kun: el único pintor de los brigadistas yugoslavos de la guerra civil española»About the museum.The collections.Miroslav Gospel – Manuscript from 1180.Historicity in the Serbo-Croatian Heroic Epic.Culture and Sport.Conversación con el rector del Seminario San Sava.'Reina Margot' funde drama, historia y gesto con música de Goran Bregovic.Serbia gana Eurovisión y España decepciona de nuevo con un vigésimo puesto.Home.Story.Emir Kusturica.Tercer oro para Paskaljevic.Nikola Tesla Year.Home.Tesla, un genio tomado por loco.Aniversario de la muerte de Nikola Tesla.El Museo Nikola Tesla en Belgrado.El inventor del mundo actual.República de Serbia.University of Belgrade official statistics.University of Novi Sad.University of Kragujevac.University of Nis.Comida. Cocina serbia.Cooking.Montenegro se convertirá en el miembro 204 del movimiento olímpico.España, campeona de Europa de baloncesto.El Partizan de Belgrado se corona campeón por octava vez consecutiva.Serbia se clasifica para el Mundial de 2010 de Sudáfrica.Serbia Name Squad For Northern Ireland And South Korea Tests.Fútbol.- El Partizán de Belgrado se proclama campeón de la Liga serbia.Clasificacion final Mundial de balonmano Croacia 2009.Serbia vence a España y se consagra campeón mundial de waterpolo.Novak Djokovic no convence pero gana en Australia.Gana Ana Ivanovic el Roland Garros.Serena Williams gana el US Open por tercera vez.Biography.Bradt Travel Guide SerbiaThe Encyclopedia of World War IGobierno de SerbiaPortal del Gobierno de SerbiaPresidencia de SerbiaAsamblea Nacional SerbiaMinisterio de Asuntos exteriores de SerbiaBanco Nacional de SerbiaAgencia Serbia para la Promoción de la Inversión y la ExportaciónOficina de Estadísticas de SerbiaCIA. Factbook 2008Organización nacional de turismo de SerbiaDiscover SerbiaConoce SerbiaNoticias de SerbiaSerbiaWorldCat1512028760000 0000 9526 67094054598-2n8519591900570825ge1309191004530741010url17413117006669D055771Serbia