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- Murray S Klamkin
- 2013

placed beside a problem number indicates that the problem was submitted without solution. Proposers and solvers whose solutions are published will receive 5 reprints of the corresponding problem section. Other solvers will receive just one reprint provided a self-addressed stamped (U.S.A. or Canada) envelope is enclosed Proposers and solvers desiring… (More)

- M S Klamkin, J Boersma, P J De Doelder
- 2010

A homogeneous convex centrosymmetric body with constant thermal properties is initially at temperature zero and its boundary is maintained at a temperature Tb > 0. Prove or disprove that at any time t > 0, the point of minimum temperature is the center. Also, prove or disprove that the isothermal surfaces are convex and centrosymmetric. Note that the… (More)

In the problem of the month 1999 : 106], one was to prove that p a + b ; c + p b + c ; a + p c + a ; b p a + p b + p c , where a, b, c are sides of a triangle. It is to be noted that this inequality will follow immediately from the Majorization Inequality 1]. Here, if A and B are vectors (a 1 a 2 : : : a n), we say that A majorizes B and write it as A B.… (More)

- Murray Klamkin
- 2001

There c annot be anyone involved in mathematical problem solving in any serious way who has not heard of Murray Klamkin. This issue of Crux Mathematicorum with Mathematical Mayhem is dedicated to a c elebration of Murray's 80 th birthday. We are delighted to t ake this opportunity t o acknowledge the many, many contributions that Murray has made, and to r… (More)