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 October 30th, 2014, 10:22 AM #1 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 1,767 Thanks: 121 Math Focus: Trigonometry and Logarithm Abbe-Helmert Criterion I was reading a dictionary of mathematics and encountered a term "Abbe-Helmert Criterion". I got curious about what it was and tried to Google it using both English and my native language, but got no result. Does anybody here know about Abbe-Helmert criterion?
 October 30th, 2014, 11:38 AM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms No, but my Google-fu is stronger. At Earliest Known Uses of Some of the Words of Mathematics (A) you'll findABBE-HELMERT CRITERION for randomness is named for Ernst Abbe and F. R. Helmert. The criterion is based on the first-order serial correlation coefficient and, according to H. O. A. Wold & L. Juréen Demand Analysis: A Study in Econometrics p. 332 , “was first proposed by Abbe (1863) and a large-sample theory was developed by Helmert (1905).” The articles referred to are Abbe (1863), “Über die Gesetzmässigkeit in der Verteilung der Fehler bei Beobachtungsreihen” in Gesammelte Abhandlungen, 2, 55 – 81. and Helmert (1905) “Über die Genauigkeit der Kriterion des Zufalls bei Beobachtungsreihen,” Sitzungsberichte der Kgl. Preussischen Akad. Dder Wissenschaften 1905, 594-512. Abbe’s work is particularly remarkable, coming so many years before the era of modern time series analysis. Compare the entries SERIAL CORRELATION and CORRELOGRAM.which gives an overview and references to check. Thanks from Monox D. I-Fly
 October 30th, 2014, 08:40 PM #3 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 1,767 Thanks: 121 Math Focus: Trigonometry and Logarithm How... How did you manage to find that on Google? I have been trying over and over in both language and even with quote marks, it was all in vain.
October 30th, 2014, 08:46 PM   #4
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 Originally Posted by Monox D. I-Fly How... How did you manage to find that on Google? I have been trying over and over in both language and even with quote marks, it was all in vain.
Because I am the One.

 January 9th, 2015, 07:58 PM #5 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 1,767 Thanks: 121 Math Focus: Trigonometry and Logarithm Some other questions: Do you know about Adams predictor-corrector formula, Adams-Bashforth method, and Adams-Moulton method? What are they all about? And what are the full names of people who found those methods and formulas? Also, can this thread's title be changed to "[ASK] Questions About Mathematicians"?

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