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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conjecture has remained unsolved the longest?Was von Neumann's 1954 ICM address “Unsolved Problems in Mathematics” outdated?Did Hilbert present all of his problems to the ICM in 1900?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











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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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