- Solutions to Set 2, Fall 2008 1. (V. Maymeskul) A positive integer ends with 2. When this digit is moved to the front, the
- Set 2 Solutions 1. (V. Maymeskul) Find all values of A for which the equation Ax3
- Sufficient Conditions for Smooth Non-uniform Variational Refinement Curves
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- Set 3 Solutions 1. (G. Lesaja) Find max {ABCD : A + 2B + 3C + 4D = 8 , A, B, C, D > 0}.
- Fall 2009 MPC Set 2, Due by 5pm on Friday, Oct. 16. Instructions: Welcome to the Fall'09 GSU Mathematics Problem Solving Competition!
- Set 1 Solutions 1. Find all integers n, 1 n 6, such that 2006n + n2006 is divisible by 5.
- Solutions to Problem Set 2, Spring 2006 1. (V. Maymeskul) Show that, for any integer n > 1, the sum 1 +
- Fall 2005 GSU Mathematics Problem Competition Problem Set 3 Due Date: Monday, Nov. 7 by 5p.m.
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- Spring 2009 MPC Set 1, Due by 5pm on Friday, February 6. Instructions: Welcome to the Spring 2009 GSU Mathematics Problem Solving Competi-
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- Fall 2008 MPC Set 4, Due by 5pm on TUESDAY, December 2. Instructions: Welcome to the Fall 2008 GSU Mathematics Problem Solving Competition!
- 1. (Provided by the ASM) Consider the multiple round-robin tournament in which: N teams play a round-robin tournament and exactly one team is eliminated from further play.
- (F. Mynard) There is a number of proofs of the fact that the set of prime numbers is infinite. Complete the following steps to establish a topological one.
- This article was published in an Elsevier journal. The attached copy is furnished to the author for non-commercial research and
- Solutions to Set 1, Spring 2009 1. (H. Wang) In a religious village of 30 villagers, each of which has a dot (colored red or blue)
- Set 1 Solutions 1. (V. Maymeskul) Let A, B, and C denote the angles in a triangle. Prove that
- 1. Determine, without numerical calculations, which of the two numbers is larger. Explain.
- 1. (Proposed by F. Ziegler) Let D, E, F be three matrices such that, with the notation [a, b] = ab -ba,
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- An abstract formulation of variational Scott N. Kersey
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- Fall 2009 MPC Set 1, Due by 5pm on Friday, Sep. 18. Instructions: Welcome to the Fall'09 GSU Mathematics Problem Solving Competition!
- Spring 2005 Mathematics Problem Competition Georgia Southern University Problem Set 2 Due Date: Friday, February 25, 2005
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- Numer. Math. (2003) 94: 523540 Digital Object Identifier (DOI)10.1007/s00211-002-0437-6 Numerische
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- Spring 2011 MPC Set 1, Due by 5pm on Friday, Feb. 18. Instructions: Welcome to the Spring'11 GSU Mathematics Problem Solving Competition! All GSU Un-
- 1. (Provided by ASM) Solve the equation A = 1 where A, B, . . . , I {1, 2, 3, 4, 5, 6, 7, 8, 9}
- Spring 2011 MPC Set 3, Due by 5pm on Friday, April 1. Instructions: Welcome to the Spring'11 GSU Mathematics Problem Solving Competition! All
- 1. (Provided by C. Champ) If C is a nonsingular p p matrix with x and y being p 1 vectors, prove that
- Fall 2010 MPC Set 2, Due by 5pm on Friday, Oct. 15. Instructions: Welcome to the Fall'10 GSU Mathematics Problem Solving Competition! All GSU
- Fall 2010 MPC Set 3, Due by 5pm on Friday, Nov. 12. Instructions: Welcome to the Fall'10 GSU Mathematics Problem Solving Competition! All GSU
- 1. (Provided by ASM) In poker, a full house is 3 of one kind of card and 2 of another kind of card (for example, 3 aces and 2 kings).
- Spring 2009 MPC Set 4, Due by 5pm on Friday, April 24. Instructions: Welcome to the Spring'09 GSU Mathematics Problem Solving Competition!
- 1. (S. Kersey) Suppose that M is a 3 3 matrix such that M3 = I3 (but M = I3), where
- Spring 2009 MPC Set 2, Due by 5pm on Friday, February 27. Instructions: Welcome to the Spring 2009 GSU Mathematics Problem Solving Competi-
- 1. (D. Stone) Among all isosceles triangles with the area of 1 sq. ft., there are two triangles, for which the area of an inscribed square is largest possible. Find these triangles. What is
- 1. Assume that a1 < a2 < . . . < a583 < a584 are different positive integers, eaching being less than 2010. Prove that among the 583 differences di = ai+1 -ai (i = 1, 2, . . . , 583) some
- Spring 2010 MPC Set 2, Due by 5pm on Friday, Mar. 12. Instructions: Welcome to the Spring'10 GSU Mathematics Problem Solving Competition!
- Spring 2010 MPC Set 3, Due by 5pm on Friday, Apr. 9. Instructions: Welcome to the Spring'10 GSU Mathematics Problem Solving Competition!
- 1. (Proposed by J. Zhu) Show that for x > 0, x 1+x2 < arctan x < x.
- Fall 2009 MPC Set 3, Due by 5pm on Friday, Nov. 13. Instructions: Welcome to the Fall'09 GSU Mathematics Problem Solving Competition! All GSU
- Solutions to Set 3, Fall 2008 1. (F. Ziegler) Five mathematicians of different nationalities parked their cars in a row and
- Solutions to Set 4, Fall 2008 1. (G. Lesaja) If f(n + 1) = (-1)n+1
- # 1. (Dr. S. Kersey, Algebra) Solve x + 2x -1 + x -
- Set 1 Solutions 1. (G. Lesaja) Find all real functions of one real variable that satisfy the following functional
- Set 3 Solutions 1. (V. Maymeskul) In how many ways a positive integer n can be represented as a sum of positive
- Spring 2005 Mathematics Problem Competition Georgia Southern University Problem Set 1 Due Date: Tuesday, February 8, 2005
- Spring 2005 Mathematics Problem Competition Georgia Southern University Problem Set 3 Due Date: Tuesday, March 29, 2005
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- ! "$#&%'( )0 12'43365 798A@!BDCFEHGPIQESRUTWVYX`XaEcbedgf
- Set 2 Solutions 1. Construct a 2 2 matrix A with distinct entries chosen from {1, 2, 3, 4, 5, 6} so that
- 1. (Provided by ASM) Suppose a cubic polynomial with leading coefficient one and with inflection point at the origin passes through (c, 0) and (a, b), where a > c > 0.
- Problem Set 1 Solutions, Math Problem Competition, Fall 2004, GSU Problem 1. (MAA) A car holds 6 people (including the driver), 3 in the front seat and 3 in the back
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- 1. (Proposed by V. Maymeskul) Some time after noon, a secretary of the GSU Department of Mathematical Sciences left the office for lunch. When she came back, she noticed that the
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- 1. (S. Kersey) Prove that 1 + |x + y|
- 1. (Proposed by A. Tran) Solve the following: Subtracting the first equation from the second yields y2
- Set 3 Solutions 1. Let A, B, and C denote the angles in a triangle. Prove that
- Russian-to-English Mathematical Word List c Scott Kersey, 1997, 2003 References
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