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William Lowell Putnam Mathematical Competition
Results: 29

#	Item
1	The 58th William Lowell Putnam Mathematical Competition Saturday, December 6, 1997 A–1 A rectangle, HOMF, has sides HO = 11 and OM = 5. A triangle ABC has H as the intersection of the altitudes, O the center of the cir Add to Reading List Source URL: kskedlaya.org - Date: 2014-01-16 17:22:37
2	The 57th William Lowell Putnam Mathematical Competition Saturday, December 7, 1996 A–1 Find the least number A such that for any two squares of combined area 1, a rectangle of area A exists such that the two squares ca Add to Reading List Source URL: kskedlaya.org - Date: 2014-01-16 17:22:33
3	Lastname Agundez Amundsen Apai Auclair-Desrotour Bailey Add to Reading List Source URL: www.exoclimes.org Language: English - Date: 2016-07-23 03:02:12
4	The 69th William Lowell Putnam Mathematical Competition Saturday, December 6, 2008 A–1 Let f : R2 → R be a function such that f (x, y)+ f (y, z)+ f (z, x) = 0 for all real numbers x, y, and z. Prove that there exists Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2014-01-16 17:23:35
5	The 74th William Lowell Putnam Mathematical Competition Saturday, December 7, 2013 A1 Recall that a regular icosahedron is a convex polyhedron having 12 vertices and 20 faces; the faces are congruent equilateral triangle Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2014-07-22 12:59:12
6	The 64th William Lowell Putnam Mathematical Competition Saturday, December 6, 2003 A–1 Let n be a fixed positive integer. How many ways are there to write n as a sum of positive integers, n = a1 + a2 + · · · + ak , Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2014-01-16 17:23:04
7	The 62nd William Lowell Putnam Mathematical Competition Saturday, December 1, 2001 A–1 Consider a set S and a binary operation ∗, i.e., for each a, b ∈ S, a ∗ b ∈ S. Assume (a ∗ b) ∗ a = b for all a, b ∈ Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2014-01-16 17:22:58
8	Solutions to the 73rd William Lowell Putnam Mathematical Competition Saturday, December 1, 2012 Kiran Kedlaya and Lenny Ng A–1 Without loss of generality, assume d1 ≤ d2 ≤ · · · ≤ d12 . 2 < d 2 + d 2 for some Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2015-05-12 23:23:28
9	The 66th William Lowell Putnam Mathematical Competition Saturday, December 3, 2005 A–1 Show that every positive integer is a sum of one or more numbers of the form 2r 3s , where r and s are nonnegative integers and no Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2014-01-16 17:23:14
10	The 61st William Lowell Putnam Mathematical Competition Saturday, December 2, 2000 A–1 Let A be a positive real number. What are the possible values of ∑∞j=0 x2j , given that x0 , x1 , . . . are positive numbers fo Add to Reading List Source URL: kskedlaya.org Language: English - Date: 2014-01-16 17:22:54