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Difference between revisions of "User talk:1=2"

(some progress on some random problem, will try to solve in dorms)
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1966 IMO Problem 3 Progress
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It turns out that many contests that are on the AoPSWiki are not formatted correctly. Some examples of articles on a contest formatted correctly is [[2000 AMC 8]], [[2000 AMC 8 Problems]], and [[2000 AMC 8 Problems/Problem 1]]. Below is a list of every single contest in the AMC series, as well as the IMO. Wanna help? Join the cause! Add your name to the list of proud contributors below, and then get to editing! Feel free to mark contests complete ('''do not delete them, mark them complete''') if they have been completed. Note that not all problems need solutions for the pages to be correctly formatted. In addition, there's a chatter section below for discussion of various issues that may pop up during this formatting project.
  
−
Let the tetrahedron be <math>ABCD</math>, and let the circumcenter be <math>O</math>. Therefore <math>OA=OB=OC=OD</math>. It's not hard to see that <math>O</math> is the intersection of the planes that perpendicularly bisect the six sides of the tetrahedron. Label the plane that bisects <math>AB</math> as <math>p_{AB}</math>, and define <math>p_{AC}</math>, <math>p_{BC}</math>, <math>p_{AD}</math>, <math>p_{BD}</math>, and <math>p_{CD}</math> similarly. Now consider <math>p_{AB}</math>, <math>p_{BC}</math>, and <math>p_{CA}</math>. They perpendicularly bisect three coplanar segments, so their intersection is a line perpendicular to the plane containing <math>ABC</math>. Note that the circumcenter of <math>ABC</math> is on this line.
+
'''Note:''' There is an [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=416&t=424292 AMC Problem Restoration Project] that is up and running, if you are interested in posting problems rather than formatting pages. Be sure to read the whole topic before you start posting though - there are important guidelines to follow.
  
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**solving easier version**
+
== List of Contributors ==
 +
=== Official Contributors ===
 +
[[User:1=2|1=2]]
  
−
I shall prove that given triangle <math>ABC</math>, the minimum value of <math>PA+PB+PC</math> is given when <math>P</math> is the circumcenter of <math>ABC</math>. It's easy to see that, from the Pythagorean Theorem, that if <math>P</math> is not on the plane containing <math>ABC</math>, then the projection <math>P'</math> of <math>P</math> onto said plane satisfies
+
[[User:fadebekun|fadebekun]]
  
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<cmath>P'A+P'B+P'C<PA+PB+PC</cmath>
+
=== Honorary Contributors ===
 +
[[User:Admin25|Admin25]]
  
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so it suffices to consider all points <math>P</math> that are coplanar with <math>ABC</math>.
+
[[Ddk001]]
 +
 
 +
== Articles that may or may not be in the correct format ==
 +
=== AJHSME / AMC 8 ===
 +
* [[1985 AJHSME]] ('''Complete''')
 +
* [[1986 AJHSME]] ('''Complete''')
 +
* [[1987 AJHSME]] ('''Complete''')
 +
* [[1988 AJHSME]] ('''Complete''')
 +
* [[1989 AJHSME]] ('''Complete''')
 +
* [[1990 AJHSME]] (Known to be '''incomplete''')
 +
* [[1991 AJHSME]] (Known to be '''incomplete''')
 +
* [[1992 AJHSME]] (Known to be '''incomplete''')
 +
* [[1993 AJHSME]] (Known to be '''incomplete''')
 +
* [[1994 AJHSME]] (Known to be '''incomplete''')
 +
* [[1995 AJHSME]] (Known to be '''incomplete''')
 +
* [[1996 AJHSME]] (Known to be '''incomplete''')
 +
* [[1997 AJHSME]] (Known to be '''incomplete''')
 +
* [[1998 AJHSME]] (Known to be '''incomplete''')
 +
* [[1999 AMC 8]] (Known to be '''incomplete''')
 +
* [[2000 AMC 8]] (Known to be '''incomplete''')
 +
* [[2001 AMC 8]] (Known to be '''incomplete''')
 +
* [[2002 AMC 8]] (Known to be '''incomplete''')
 +
* [[2003 AMC 8]] (Known to be '''incomplete''')
 +
* [[2004 AMC 8]] (Known to be '''incomplete''')
 +
* [[2005 AMC 8]] (Known to be '''incomplete''')
 +
* [[2006 AMC 8]] (Known to be '''incomplete''')
 +
* [[2007 AMC 8]] (Known to be '''incomplete''')
 +
* [[2008 AMC 8]] (Known to be '''incomplete''')
 +
* [[2009 AMC 8]] (Known to be '''incomplete''')
 +
* [[2010 AMC 8]] (Known to be '''incomplete''')
 +
* [[2011 AMC 8]] (Known to be '''incomplete''')
 +
 
 +
=== AMC 10 ===
 +
* [[2000 AMC 10]] (Known to be '''incomplete''')
 +
* [[2001 AMC 10]] (Known to be '''incomplete''')
 +
* [[2002 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2002 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2003 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2003 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2004 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2004 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2005 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2005 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2006 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2006 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2007 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2007 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2008 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2008 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2009 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2009 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2010 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2010 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2011 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2011 AMC 10B]] (Known to be '''incomplete''')
 +
* [[2012 AMC 10A]] (Known to be '''incomplete''')
 +
* [[2012 AMC 10B]] (Known to be '''incomplete''')
 +
 
 +
=== AHSME / AMC 12 ===
 +
 
 +
* [[1950 AHSME]] ('''Complete''')
 +
* [[1951 AHSME]] (Known to be '''incomplete''')
 +
* [[1952 AHSME]] (Known to be '''incomplete''')
 +
* [[1953 AHSME]] (Known to be '''incomplete''')
 +
* [[1954 AHSME]] (Known to be '''incomplete''')
 +
* [[1955 AHSME]] (Known to be '''incomplete''')
 +
* [[1956 AHSME]] (Known to be '''incomplete''')
 +
* [[1957 AHSME]] (Known to be '''incomplete''')
 +
* [[1958 AHSME]] (Known to be '''incomplete''')
 +
* [[1959 AHSME]] (Known to be '''incomplete''')
 +
* [[1960 AHSME]] (Known to be '''incomplete''')
 +
* [[1961 AHSME]] (Known to be '''incomplete''')
 +
* [[1962 AHSME]] (Complete '''w/o solutions w/o problems 41-50''')
 +
* [[1963 AHSME]] (Known to be '''incomplete''')
 +
* [[1964 AHSME]] (Known to be '''incomplete''')
 +
* [[1965 AHSME]] (Known to be '''incomplete''')
 +
* [[1966 AHSME]] (Known to be '''incomplete''')
 +
* [[1967 AHSME]] (Known to be '''incomplete''')
 +
* [[1968 AHSME]] (Known to be '''incomplete''')
 +
* [[1969 AHSME]] (Known to be '''incomplete''')
 +
* [[1970 AHSME]] (Known to be '''incomplete''')
 +
* [[1971 AHSME]] (Known to be '''incomplete''')
 +
* [[1972 AHSME]] (Known to be '''incomplete''')
 +
* [[1973 AHSME]] (Known to be '''incomplete''')
 +
* [[1974 AHSME]] ('''Complete''')
 +
* [[1975 AHSME]] (Known to be '''incomplete''')
 +
* [[1976 AHSME]] (Known to be '''incomplete''')
 +
* [[1977 AHSME]] (Known to be '''incomplete''')
 +
* [[1978 AHSME]] (Known to be '''incomplete''')
 +
* [[1979 AHSME]] (Known to be '''incomplete''')
 +
* [[1980 AHSME]] (Known to be '''incomplete''')
 +
* [[1981 AHSME]] (Known to be '''incomplete''')
 +
* [[1982 AHSME]] (Known to be '''incomplete''')
 +
* [[1983 AHSME]] (Known to be '''incomplete''')
 +
* [[1984 AHSME]] (Known to be '''incomplete''')
 +
* [[1985 AHSME]] (Known to be '''incomplete''')
 +
* [[1986 AHSME]] (Known to be '''incomplete''')
 +
* [[1987 AHSME]] (Known to be '''incomplete''')
 +
* [[1988 AHSME]] (Known to be '''incomplete''')
 +
* [[1989 AHSME]] (Known to be '''incomplete''')
 +
* [[1990 AHSME]] (Known to be '''incomplete''')
 +
* [[1991 AHSME]] (Known to be '''incomplete''')
 +
* [[1992 AHSME]] (Known to be '''incomplete''')
 +
* [[1993 AHSME]] (Known to be '''incomplete''')
 +
* [[1994 AHSME]] (Known to be '''incomplete''')
 +
* [[1995 AHSME]] (Known to be '''incomplete''')
 +
* [[1996 AHSME]] (Known to be '''incomplete''')
 +
* [[1997 AHSME]] (Known to be '''incomplete''')
 +
* [[1998 AHSME]] (Known to be '''incomplete''')
 +
* [[1999 AHSME]]
 +
* [[2000 AMC 12]] (Known to be '''incomplete''')
 +
* [[2001 AMC 12]] (Known to be '''incomplete''')
 +
* [[2002 AMC 12A]] (Known to be '''incomplete''')
 +
* [[2002 AMC 12B]] (Known to be '''incomplete''')
 +
* [[2003 AMC 12A]] (Known to be '''incomplete''')
 +
* [[2003 AMC 12B]] (Known to be '''incomplete''')
 +
* [[2004 AMC 12A]] (Known to be '''incomplete''')
 +
* [[2004 AMC 12B]] (Known to be '''incomplete''')
 +
* [[2005 AMC 12A]]
 +
* [[2005 AMC 12B]]
 +
* [[2006 AMC 12A]]
 +
* [[2006 AMC 12B]]
 +
* [[2007 AMC 12A]]
 +
* [[2007 AMC 12B]]
 +
* [[2008 AMC 12A]]
 +
* [[2008 AMC 12B]]
 +
* [[2009 AMC 12A]]
 +
* [[2009 AMC 12B]]
 +
* [[2010 AMC 12A]]
 +
* [[2010 AMC 12B]]
 +
* [[2011 AMC 12A]]
 +
* [[2011 AMC 12B]]
 +
* [[2012 AMC 12A]]
 +
* [[2012 AMC 12B]]
 +
 
 +
=== AIME ===
 +
 
 +
* [[1983 AIME]] ('''Complete''')
 +
* [[1984 AIME]] (Known to be '''incomplete''')
 +
* [[1985 AIME]] (Known to be '''incomplete''')
 +
* [[1986 AIME]] (Known to be '''incomplete''')
 +
* [[1987 AIME]] (Known to be '''incomplete''')
 +
* [[1988 AIME]] (Known to be '''incomplete''')
 +
* [[1989 AIME]] (Known to be '''incomplete''')
 +
* [[1990 AIME]] (Known to be '''incomplete''')
 +
* [[1991 AIME]] (Known to be '''incomplete''')
 +
* [[1992 AIME]] (Known to be '''incomplete''')
 +
* [[1993 AIME]] (Known to be '''incomplete''')
 +
* [[1994 AIME]] (Known to be '''incomplete''')
 +
* [[1995 AIME]] (Known to be '''incomplete''')
 +
* [[1996 AIME]] (Known to be '''incomplete''')
 +
* [[1997 AIME]] (Known to be '''incomplete''')
 +
* [[1998 AIME]] (Known to be '''incomplete''')
 +
* [[1999 AIME]] (Known to be '''incomplete''')
 +
* [[2000 AIME I]] (Known to be '''incomplete''')
 +
* [[2000 AIME II]] (Known to be '''incomplete''')
 +
* [[2001 AIME I]] (Known to be '''incomplete''')
 +
* [[2001 AIME II]] (Known to be '''incomplete''')
 +
* [[2002 AIME I]] (Known to be '''incomplete''')
 +
* [[2002 AIME II]] (Known to be '''incomplete''')
 +
* [[2003 AIME I]] (Known to be '''incomplete''')
 +
* [[2003 AIME II]] (Known to be '''incomplete''')
 +
* [[2004 AIME I]] (Known to be '''incomplete''')
 +
* [[2004 AIME II]] (Known to be '''incomplete''')
 +
* [[2005 AIME I]] (Known to be '''incomplete''')
 +
* [[2005 AIME II]] (Known to be '''incomplete''')
 +
* [[2006 AIME I]] (Known to be '''incomplete''')
 +
* [[2006 AIME II]] (Known to be '''incomplete''')
 +
* [[2007 AIME I]] (Known to be '''incomplete''')
 +
* [[2007 AIME II]] (Known to be '''incomplete''')
 +
* [[2008 AIME I]] (Known to be '''incomplete''')
 +
* [[2008 AIME II]] (Known to be '''incomplete''')
 +
* [[2009 AIME I]] (Known to be '''incomplete''')
 +
* [[2009 AIME II]] (Known to be '''incomplete''')
 +
* [[2010 AIME I]] ('''Complete''')
 +
* [[2010 AIME II]]
 +
* [[2011 AIME I]]
 +
* [[2011 AIME II]]
 +
* [[2012 AIME I]]
 +
* [[2012 AIME II]]
 +
 
 +
=== USA(J)MO ===
 +
 
 +
*[[1972 USAMO]] ('''Complete''')
 +
*[[1973 USAMO]] ('''Complete''')
 +
*[[1974 USAMO]] ('''Complete''')
 +
*[[1975 USAMO]] ('''Complete''')
 +
*[[1976 USAMO]] ('''Complete''')
 +
*[[1977 USAMO]] ('''Complete''')
 +
*[[1978 USAMO]] ('''Complete''')
 +
*[[1979 USAMO]] ('''Complete''')
 +
*[[1980 USAMO]] ('''Complete''')
 +
*[[1981 USAMO]] ('''Complete''')
 +
*[[1982 USAMO]] ('''Complete''')
 +
*[[1983 USAMO]] ('''Complete''')
 +
*[[1984 USAMO]] ('''Complete''')
 +
*[[1985 USAMO]] ('''Complete''')
 +
*[[1986 USAMO]] ('''Complete''')
 +
*[[1987 USAMO]] ('''Complete''')
 +
*[[1988 USAMO]] ('''Complete''')
 +
*[[1989 USAMO]] ('''Complete''')
 +
*[[1990 USAMO]] ('''Complete''')
 +
*[[1991 USAMO]] ('''Complete''')
 +
*[[1992 USAMO]] ('''Complete''')
 +
*[[1993 USAMO]] ('''Complete''')
 +
*[[1994 USAMO]] ('''Complete''')
 +
*[[1995 USAMO]] ('''Complete''')
 +
*[[1996 USAMO]] ('''Complete''')
 +
*[[1997 USAMO]] ('''Complete''')
 +
*[[1998 USAMO]] ('''Complete''')
 +
*[[1999 USAMO]] ('''Complete''')
 +
*[[2000 USAMO]] ('''Complete''')
 +
*[[2001 USAMO]] (Known to be '''incomplete''')
 +
*[[2002 USAMO]] (Known to be '''incomplete''')
 +
*[[2003 USAMO]] (Known to be '''incomplete''')
 +
*[[2004 USAMO]] (Known to be '''incomplete''')
 +
*[[2005 USAMO]] (Known to be '''incomplete''')
 +
*[[2006 USAMO]] (Known to be '''incomplete''')
 +
*[[2007 USAMO]] (Known to be '''incomplete''')
 +
*[[2008 USAMO]] (Known to be '''incomplete''')
 +
*[[2009 USAMO]] (Known to be '''incomplete''')
 +
*[[2010 USAMO]] (Known to be '''incomplete''')
 +
*[[2010 USAJMO]] (Known to be '''incomplete''')
 +
*[[2011 USAMO]] (Known to be '''incomplete''')
 +
*[[2011 USAJMO]] (Known to be '''incomplete''')
 +
*[[2012 USAMO]] (Known to be '''incomplete''')
 +
*[[2012 USAJMO]] (Known to be '''incomplete''')
 +
 
 +
=== IMO ===
 +
* [[1959 IMO]] ('''Complete''')
 +
* [[1960 IMO]]
 +
* [[1961 IMO]]
 +
* [[1962 IMO]]
 +
* [[1963 IMO]]
 +
* [[1964 IMO]]
 +
* [[1965 IMO]]
 +
* [[1966 IMO]]
 +
* [[1967 IMO]]
 +
* [[1968 IMO]]
 +
* [[1969 IMO]] (Known to be '''incomplete''')
 +
* [[1970 IMO]]
 +
* [[1971 IMO]] (Known to be '''incomplete''')
 +
* [[1972 IMO]] (Known to be '''incomplete''')
 +
* [[1973 IMO]] (Known to be '''incomplete''')
 +
* [[1974 IMO]] (Known to be '''incomplete''')
 +
* [[1975 IMO]] (Known to be '''incomplete''')
 +
* [[1976 IMO]]
 +
* [[1977 IMO]] (Known to be '''incomplete''')
 +
* [[1978 IMO]] (Known to be '''incomplete''')
 +
* [[1979 IMO]] (Known to be '''incomplete''')
 +
* [[1980 IMO]] ('''Complete''')
 +
* [[1981 IMO]]
 +
* [[1982 IMO]] (Known to be '''incomplete''')
 +
* [[1983 IMO]] (Known to be '''incomplete''')
 +
* [[1984 IMO]] (Known to be '''incomplete''')
 +
* [[1985 IMO]] (Known to be '''incomplete''')
 +
* [[1986 IMO]] (Known to be '''incomplete''')
 +
* [[1987 IMO]]
 +
* [[1988 IMO]] (Known to be '''incomplete''')
 +
* [[1989 IMO]] (Known to be '''incomplete''')
 +
* [[1990 IMO]] (Known to be '''incomplete''')
 +
* [[1991 IMO]] (Known to be '''incomplete''')
 +
* [[1992 IMO]] (Known to be '''incomplete''')
 +
* [[1993 IMO]] (Known to be '''incomplete''')
 +
* [[1994 IMO]] (Known to be '''incomplete''')
 +
* [[1995 IMO]] (Known to be '''incomplete''')
 +
* [[1996 IMO]] (Known to be '''incomplete''')
 +
* [[1997 IMO]] (Known to be '''incomplete''')
 +
* [[1998 IMO]] (Known to be '''incomplete''')
 +
* [[1999 IMO]] (Known to be '''incomplete''')
 +
* [[2000 IMO]] (Known to be '''incomplete''')
 +
* [[2001 IMO]] (Known to be '''incomplete''')
 +
* [[2002 IMO]] (Known to be '''incomplete''')
 +
* [[2003 IMO]] (Known to be '''incomplete''')
 +
* [[2004 IMO]] (Known to be '''incomplete''')
 +
* [[2005 IMO]] (Known to be '''incomplete''')
 +
* [[2006 IMO]] (Known to be '''incomplete''')
 +
* [[2007 IMO]] (Known to be '''incomplete''')
 +
* [[2008 IMO]] (Known to be '''incomplete''')
 +
* [[2009 IMO]] (Known to be '''incomplete''')
 +
* [[2010 IMO]] ('''Complete''')
 +
* [[2011 IMO]]
 +
 
 +
== Chatter Box ==
 +
=== Links in Problem Articles ===
 +
Most AIME problem articles that I've seen don't have a bunch of links at the end - they only have the AIME box. However, [[1983 AIME Problems/Problem 13|Problem 13]] of the [[1983 AIME]] does have a bunch of links. Should it? If it should, then should we start putting them on every problem? --[[User:1=2|1=2]] 07:05, 16 April 2012 (EDT)
 +
 
 +
Actually we probably shouldn't go around putting all of those links on every problem - it would just waste time in an effort to save a few seconds. I'll remove the links. --[[User:1=2|1=2]] 13:04, 16 April 2012 (EDT)
 +
=== IMO Statistics===
 +
A bunch of the IMO articles ([[1985 IMO]]) have some statistics in them. Should we strive to keep them? --[[User:1=2|1=2]] 11:17, 20 April 2012 (EDT)

Latest revision as of 16:28, 6 January 2024

It turns out that many contests that are on the AoPSWiki are not formatted correctly. Some examples of articles on a contest formatted correctly is 2000 AMC 8, 2000 AMC 8 Problems, and 2000 AMC 8 Problems/Problem 1. Below is a list of every single contest in the AMC series, as well as the IMO. Wanna help? Join the cause! Add your name to the list of proud contributors below, and then get to editing! Feel free to mark contests complete (do not delete them, mark them complete) if they have been completed. Note that not all problems need solutions for the pages to be correctly formatted. In addition, there's a chatter section below for discussion of various issues that may pop up during this formatting project.

Note: There is an AMC Problem Restoration Project that is up and running, if you are interested in posting problems rather than formatting pages. Be sure to read the whole topic before you start posting though - there are important guidelines to follow.

List of Contributors

Official Contributors

1=2

fadebekun

Honorary Contributors

Admin25

Ddk001

Articles that may or may not be in the correct format

AJHSME / AMC 8

AMC 10

AHSME / AMC 12

AIME

USA(J)MO

IMO

Chatter Box

Links in Problem Articles

Most AIME problem articles that I've seen don't have a bunch of links at the end - they only have the AIME box. However, Problem 13 of the 1983 AIME does have a bunch of links. Should it? If it should, then should we start putting them on every problem? --1=2 07:05, 16 April 2012 (EDT)

Actually we probably shouldn't go around putting all of those links on every problem - it would just waste time in an effort to save a few seconds. I'll remove the links. --1=2 13:04, 16 April 2012 (EDT)

IMO Statistics

A bunch of the IMO articles (1985 IMO) have some statistics in them. Should we strive to keep them? --1=2 11:17, 20 April 2012 (EDT)

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=User_talk:1%3D2&oldid=210089"