Table Of Content

Light Subsets of N with Dense Quotient Note on the Congruence ("“) = (") Sets, Shawn Hedman and David Rose, (mod q), A, Romeo Metrovic, 75 635 Of Cheese and Crust A Proof of the Manifolds with Density and Perelman’s Pizza Conjecture and Other Tasty Proof of the Poincaré Conjecture, Frank Results, Rick Mabry and Paul Deier Morgan, 134 mann, 423 Mathematical Masterpieces: Further On a Theorem of Abel, Shui-Hung Hou, Chronicles by the Explorers. By Arthur 629 Knoebel, Reinhard Laubenbacher, Jerry On Furstenberg’s Proof of the Infinitude of Lodder, and David Pengelley, reviewed Primes, Idris D. Mercer, 355 by Victor J. Katz, 852 On Orders of Subgroups in Abelian Maximum Overhang, Mike Paterson, Groups: An Elementary Solution of Yuval Peres, Mikkel Thorup, Peter an Exercise of Herstein, Robert Beals, Winkler, and Uri Zwick, 763 923 Mean, Meaner, and the Meanest Mean On Sara’s Dove Bar Habit, D. M. Einstein, Value Theorem, J. J. Koliha, 356 C. C. Heckman, and T. S. Norfolk, 831 Modifications of Thomae’s Function and On the Irreducibility of Polynomials with Differentiability, Kevin Beanland, James Leading Coefficient Divisible by a Large W. Roberts, and Craig Stevenson, 531 Prime Power, Anca I. Bonciocat and Mr. Hopkins’ Men: Cambridge Reform Nicolae C. Bonciocat, 743 and British Mathematics in the 19th Optimization Problem with a Surprisingly Century. By Alex D. D. Craik, reviewed Simple Solution, An, D. Drinen, K. G by Philip D. Straffin, 284 Kennedy, and W. M. Priestley, 328 Music: A Mathematical Offering. By Overhang, Mike Paterson and Uri Zwick, David J..Benson, reviewed by Michael 19 Henle, 948 Over-Iterates of Bernstein’s Operators: Musical Actions of Dihedral Groups, A Short and Elementary Proof, Ulrich Alissa S. Crans, Thomas M. Fiore, and Abel and Mircea Ivan, 535 Ramon Satyendra, 479 Overshooting Properties of Newton-Like Musimathics: The Mathematical Founda- and Ostrowski-Like Methods, Aaron tions of Music. By Gareth Loy, reviewed Melman, 238 by Michael Henle, 948 Parallel Transport and Thomas-Wigner New Constructive Proooff t he Malgrange- Rotation, Nieves Alamo and Carlos Ehrenpreis Theorem, A, Peter Wagner, Criado, 439 457 Partial Metric Spaces, Michael Bukatin, New Insight into Cyclodial Areas, Tom M. Ralph Kopperman, Steve Matthews, and Apostol and Mamikon A. Mnatsakanian, Homeira Pajoohesh, 708 598 1», the Value of 2 in £,, Joseph B. Keller New Look at the So-Called Trammel of and Ravi Vakil, 931 Archimedes, A, Tom M. Apostol and Poincaré Lemma and an Elementary Mamikon A. Mnatsakanian, 115 Construction of Vector Potentials, The, New Proofs of Euclid’s and Euler’s Shirley Llamado Yap, 261 Theorems, Juan Pablo Pinasco, 172 Probabilistic Proof of the Lindeberg- Nonmeasurable Set from Coin Flips, A, Feller Central Limit Theorem, A, Larry Alexander E. Holroyd and Terry Soo, Goldstein, 45 926 Proof of the Cayley-Hamilton Theorem, Note on Covering a Square of Side Length A, Chris Bernhardt, 456 2+ <€ with Unit Squares, A, Janusz Ptolemy Meets Erd6s and Mordell Again, Januszewski, 174 Hojoo Lee, 738 Note on Euler’s Factoring Problem, A, Ramanujan Primes and Bertrand’s Postu- John Brillhart, 928 late, Jonathan Sondow, 630 December 2009] INDEX TO VOLUME 116 957 Ramanujan’s Series for 1/2: A Survey, Stirling’s Series Revisited, Valerio De Nayandeep Deka Baruah, Bruce C. Angelis, 839 Berndt, and Heng Huat Chan, 567 Sudoku: Strategy Versus Structure, J. Scott Rational Functions, Luis Verde-Star, 804 Provan, 702 Rethinking the Lebesque Integral, Peter D. Superabundant Numbers and the Riemann Lax, 863 Hypothesis, Amir Akbary and Zachary Revisiting a Century-Old Characterization Friggstad, 273 of Baire Class One, Darboux Functions, Symmetric and Alternating Groups Michaei J. Evans and Paul D. Humke, Generated by a Full Cycle and Another 451 Element, Daniel Heath, I. M. Isaacs, Risk and Return Considerations in the John Kiltinen, and Jessica Sklar, 447 “The Weakest Link,” B. Ross Barmish Symmetries of Things, The. By John and Nigel Boston, 305 Conway, Heidi Burgiel, and Chaim Roots to Research: A Vertical Development Goodman-Strauss, reviewed by Branko of Mathematical Problems. By Judith D. Griinbaum, 555 Sally and Paul J. Sally, Jr., reviewed by Topology Now: By Robert Messer and Judy Holdener, 754 Philip Straffin, reviewed by James W. Seating Couples Around the King’s Table Vick, 373 and a New Characterization of Prime Transformations Between Self-Referential Numbers, Emmanuel Preissmann and Sets, Michael F. Barnsley, 291 Maurice Mischler, 268 Understanding and Using Linear Pro- Shape Distortion by Analytic Functions, gramming. By Jifi MatouSek and Bernd Joseph Bak and Pisheng Ding, 143 Gartner, reviewed by Allen Holder, 471 Simple Complex Analysis and an Voting, the Symmetric Group, and Advanced Calculus Proof of the Representation Theory, Zajj Daugherty, Fundamental Theorem of Algebra, A, Alexander K. Eustis, Gregory Minton, Anton R. Schep, 67 and Michael E. Orrison, 667 Simple Continuous Bijection from Natural Who Was Miss Mullikin? Thomas L. Sequences to Dyadic Sequences, A, Bartlow and David E. Zitarelli, 99 Oliver Deiser, 643 Why Did Lagrange “Prove” the Parallel Simple Proof of a Generalized No Postulate? Judith V. Grabiner, 3 Retraction Theorem, A, Ethan D. Bloch, Why Is PSL(2,7) = GL(3, 2)? Ezra 342 Brown and Nicholas Loehr, 727 Simple Solution to a Multiple Player Working with Schools: The Story of a Gambler’s Ruin Problem, A, Sheldon Mathematics Education Collaboration, M. Ross, 77 Alan H. Schoenfeld, 197 Sixty-Ninth William Lowell Putnam Math- Yet Another Proof of the Irrationality of ematical Competition, The, Leonard F. J/2, Natalia Casas Ferrefio, 68 Klosinski, Gerald L. Alexanderson, and Yueh-Gin Gung and Dr. Charles Y. Loren C. Larson, 719 Hu Award for 2009 to Robert E. Some Integrals Involving the Cantor Megginson for Distinguished Service Function, Russell A. Gordon, 218 to Mathematics, Barbara Faires, 195 958 © THE MATHEMATICAL . ASSOCIATION OF AMERICA [Monthiy 116 AUTHOR INDEX Abel, Ulrich and Mircea Ivan, Over- Bloch, Ethan D.., Simple Proof of a Iterates of Bernstein’s Operators: A Generalized No Retraction Theorem, Short and Elementary Proof, 535 A, 342 Akbary, Amir and Zachary Friggstad, Bonciocat, Anca I. and Nicolae C Superabundant Numbers and the Bonciocat, On the Irreducibility of Riemann Hypothesis, 273 Polynomials with Leading Coefficient Alamo, Nieves and Carlos Criado, Parallel] Divisible by a Large Prime Power, 743 c : [Transport and Thomas- Wigner Rotation, 439 Bonciocat, Nicolae C., see Bonciocat, A. \lexanderson, Gerald L., see Klosinski Borwein, Jonathan M., Neil J. Calkin, and Alkauskas, Giedrius, Curious Proof of Dante Manna, Euler-Boole Summation Fermat’s Little Theorem, A, 362 Revisited, 387 \postol, Tom M. and Mamikon A. Mnat- Boston, Nigel, see Barmish sakanian, New Insight into Cyclodial Brams, Steven J., see Barbanel Areas, 598 Brillhart, John, Note on Euler’s Factoring Apostol, Tom M. and Mamikon A. Problem, A, 928 Mnatsakanian, New Look at the So Brown, Ezra and Nicholas Loehr, Why Is Called Trammel of Archimedes, A, 115 PSL(2,7 ) = GL(23)?, 7 27 Bak, Joseph and Pisheng Ding, Shape Bukatin, Michael, Ralph Kopperman, Distortion by Analytic Functions, 143 Steve Matthews, and Homeira Pa Barbanel, Julius B., Steven J. Brams, and joohesh, Partial Metric Spaces, 708 Walter Stromquist, Cutting a Pie Is Not ~ ‘alcut, Jack S., Gaussian Integers and a Piece of Cake, 496 Arctangent Identities for 7, 515 Barmish, B. Ross and Nigel Boston, Risk ‘alkin, Neil J., see Borwein and Return Considerations in “The e~r ‘asas Ferrenio, Natalia, Yet Another Proof Weakest Link,” 305 of the Irrationality of V2, 68 Barnsley, Michael F., Transformations _~ ‘han, Heng Huat, see Baruah Between Self-Referential Sets, 291 ~~ ‘id, José Angel and Rodrigo Lopez Pouso, Bartlow, Thomas L. and David E. Zitarelli, Does Lipschitz with Respect to x Imply Who Was Miss Mullikin? 99 Uniqueness for the Differential Equation Baruah, Nayandeep Deka, Bruce C. ) f(x,y)? 61 Berndt, and Heng Huat Chan, Ramanu- on rans, Alissa S., Thomas M. Fiore, and jan’s Series for 1/2: A Survey, 567 Ramon Satyendra, Musical Actions of Beals, Robert, On Orders of Subgroups Dihedral Groups, 479 in Abelian Groups: An Elementary ‘riado, Carlos, see Alamo Solution of an Exercise of Herstein, aa ‘siszar, Vill6, Jump Home and Shift: An 923 Acyclic Operation on Permutations, 735 Beanland, Kevin, James W. Roberts, Daems, Walter, see Levrie and Craig Stevenson, Modifications Daugherty, Zajj, Alexander K. Eustis, of Thomae’s Function and Differentia- Gregory Minton, and Michael E. bility, 531 Orrison, Voting, the Symmetric Group, Berndt, Bruce C., see Baruah and Representation Theory, 667 Bernhardt, Chris, Proof of the Cayley- De Angelis, Valerio, Stirling’s Series Hamilton Theorem, A, 456 Revisited, 839 Berrone, Lucio R., Associativity of the de Jong, Theo, Lagrange Multipliers and Pythagorean Law, The, 936 the Fundamental Theorem of Algebra, Bhargava, Mira, Groups as Unions of 828 Proper Subgroups, 413 Deiermann, Paul, see Mabry December 2009] INDEX TO VOLUME 116 959 Deiser, Oliver, Simple Continuous Bijec- and Jessica Sklar, Symmetric and tion from Natural Sequences to Dyadic Alternating Groups Generated by a Full Sequences, A, 643 Cycle and Another Element, 447 Diaconis, Persi and Jason Fulman, Carries, Heckman, C. C., see Einstein Shuffling, and an Amazing Matrix, 788 Hedman, Shawn and David Rose, Light Ding, Pisheng, see Bak Subsets of N with Dense Quotient Sets, Drinen, D., K. G. Kennedy, and W. M. 635 Priestley, Optimization Problem with a Henle, Michael, reviewer, Music: A Surprisingly Simple Solution, An, 328 Mathematical Offering. By David J. Einstein, D. M., C. C. Heckman, and T. S. Benson, 948 Norfolk, On Sara’s Dove Bar Habit, 831 Henle, Michael, reviewer, Musimathics: Eustis, Alexander K., see Daugherty The Mathematical Foundations of Evans, Michael J. and Paul D. Humke, Re- Music. By Gareth Loy, 948 visiting a Century-Old Characterization Holdener, Judy, reviewer, Roots to of Baire Class One, Darboux Functions, Research: A Vertical Development of 451 Mathematical Problems. By Judith D. Faires, Barbara, Yueh-Gin Gung and Dr. Sally and Paul J. Sally, Jr., 754 Charles Y. Hu Award for 2009 to Robert Holder, Allen, reviewer, /ntroduction to E. Megginson for Distinguished Service Optimization. By Pablo Pedregal, 471 to Mathematics, 195 Holder, Allen, reviewer, Understanding Falkner, Neil, reviewer, Basic Real and Using Linear Programming. By Jifi Analysis and Advanced Real Analysis. MatouSek and Bernd Gartner, 471 By Anthony W. Knapp, 657 Holroyd, Alexander E. and Terry Soo, Farhi, Bakir, Identity Involving the Nonmeasurabie Set from Coin Flips, A, Least Common Multiple of Binomial 926 Coefficients and Its Application, An, Hou, Shui-Hung, On a Theorem of Abel, 836 629 Fejzi¢, H., C. Freiling, and D. Rinne, Humke, Paul D., see Evans Descartes’ Rule of Signs, Alternations Isaacs, I. M., see Heath of Data Sets, and Balanced Differences, Ivan, Mircea, see Abel 316 Januszewski, Janusz, Note on Covering a Feldman, David V. and Daniel A. Klain, Square of Side Length 2 + € with Unit Angles as Probabilities, 732 Squares, A, 174 Fiore, Thomas M., see Crans Katz, Victor J., reviewer, Mathematical Freiling, C., see Fejzi¢é Masterpieces: Further Chronicles by the Friggstad, Zachary, see Akbary Explorers. By Arthur Knoebel, Reinhard Fulman, Jason, see Diaconis Laubenbacher, Jerry Lodder, and David Goldstein, Larry, Probabilistic Proof of Pengelley8,5 2 the Lindeberg-Feller Central Limit Keller, Joseph B. and Ravi Vakil, 7p, the Theorem, A, 45 Value ofz in £,, 931 Gordon, Russell A., Some Integrals Kennedy, K. G., see Drinen Involving the Cantor Function, 218 Kenyon, Richard and Peter Winkler, Grabiner, Judith V., Why Did Lagrange Branched Polymers, 612 “Prove” the Parallel Postulate? 3 Kiltinen, John, see Heath Griinbaum, Branko, reviewer, The Symme- Klain, Daniel A., see Feldman tries of Things. By John Conway, Heidi Klosinski, Leonard F., Gerald L. Alexan- Burgiel, and Chaim Goodman-Strauss, derson, and Loren C. Larson, Sixty- 555 Ninth William Lowell Putnam Mathe- Haase, Christian and Josef Schicho, Lattice matical Competition, The, 719 Polygons and the Number 2i + 7, 151 Kocik, Jerzy and Andrzej Solecki, Heath, Daniel, I. M. Isaacs, John Kiltinen, Disentangling a Triangle, 228 960 © THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 116 Koliha, J. J., Mean, Meaner, and the Panti, Giovanni, General Lagrange Meanest Mean Value Theorem, 356 Theorem, A, 70 Kopperman, Ralph, see Bukatin Paterson, Mike and Uri Zwick, Overhang, Kuba, Gerald, Counting Fields of Complex 19 Numbers, 541 Paterson, Mike, Yuval Peres, Mikkel Larson, Loren C., see Klosinski Thorup, Peter Winkler, and Uri Zwick, Laubenbacher, Reinhard and Bernd Sturm- Maximum Overhang, 763 fels, Computer Algebra in Systems Peres, Yuval, see Paterson Biology, 882 Pinasco, Juan Pablo, New Proofs of Lax, Peter D., Rethinking the Lebesque Euclid’s and Euler’s Theorems, Integral, 863 172 Lee, Hojoo, Ptolemy Meets Erd6s and Preissmann, Emmanuel and Maurice Mordell Again, 738 Mischler, Seating Couples Around the Levrie, Paul and Walter Daems, Evaluating King’s Table and a New Characteriza- the Probability Integral Using Wallis’s tion of Prime Numbers, 268 Product Formula for 2, 538 Priestley, W. M., see Drinen Loehr, Nicholas, see Brown Provan, J. Scott, Sudoku: Strategy Versus Lépez Pouso, Rodrigo, see Cid Structure, 702 Lucas, Stephen K., Approximations Richmond, Bettina and Tom Richmond, to 2 Derived from Integrals with How to Recognize a Parabola, 910 Nonnegative Integrands, 166 Richmond, Tom, see Richmond, B Mabry, Rick and Paul Deiermann, Of Rinne, D., see Fe rar Cheese and Crust: A Proof of the Pizza Roberts, James W., see Beanland Conjecture and Other Tasty Results, Rodi, Stephen, see Palais, B 423 Rose, David, see Hedman Manna, Dante, see Borwein Ross, Sheldon M., Simple Solution to Martin, Greg and Erick B. Wong, Almost a Multiple Player Gambler’s Ruin All Integer Matrices Have No Integer Problem, A, 77 Eigenvalues, 588 Sabia, Juan and Susana Tesauri, Least Matthews, Steve, see Bukatin Prime in Certain Arithmetic Progres- Melman, Aaron, Overshooting Properties sions, The, 641 of Newton-Like and Ostrowski-Like Sam, Steven V, Bijective Proof for a Methods, 238 Theorem of Ehrhart, A, 688 Mercer, Idris D., On Furstenberg’s Proof Satyendra, Ramon, see Crans of the Infinitude of Primes, 355 Schep, Anton R., Simple Complex MeStrovic, Romeo, Note on the Congru- Analysis and an Advanced Calculus ence = = (") (mod q), A, 75 Proof of the Fundamental Theorem of Minton, Gregory, see Daugherty Algebra, A, 67 Mischler, Maurice, see Preissmann Schicho, Joseph, see Haase Mnatsakanian, Mamikon A., see Apostol Schoenfeld, Alan H., Working with Morgan, Frank, Manifolds with Density Schools: The Story of a Mathematics and Perelman’s Proof of the Poincaré Education Collaboration, 197 Conjecture, 134 Sklar, Jessica, see Heath Norfolk, T. S., see Einstein Solecki, Andrzej, see Kocik Orrison, Michael E., see Daugherty Solomon, Bruce, Central Cross-Sections Pajoohesh, Homeira, see Bukatin Make Surfaces of Revolution Quadric, Palais, Bob, Richard Palais, and Stephen 351 Roc:, Disorienting Look at Euler’s Sondow, Jonathan, Ramanujan Primes and Theorem on the Axis of a Rotation, Bertrand’s Postulate, 630 A, 892 Soo, Terry, see Holroyd Palais, Richard, see Palais, B. Stevenson, Craig, see Beanland December 2009] INDEX TO VOLUME 116 961 Straffin, Philip D., reviewer, Mr. Hopkins’ Omar Hijab, 187 Men: Cambridge Reform and British Verde-Star, Luis, Rational Functions, 804 Mathematics in the 19th Century. By Vick, James W., reviewer, Topology Now’. Alex D. D. Craik, 284 By Robert Messer and Philip Straffin, Stromquist, Walter, see Barbanel 373 Sturmfels, Bernd, see Laubenbacher Vick, James W., reviewer, /ntroduction to Talvila, Erik, reviewer, Garden of Inte- Topology: Pure and Applied. By Colin grals, A. By Frank E. Burk, 90 Adams and Robert Franzosa, 373 Tapp, Kristopher, reviewer, Differential Wagner, Peter, New Constructive Proof of Geometry and its Applications. By John the Malgrange-Ehrenpreis Theorem, A, Oprea, 375 457 Tesauri, Susana, see Sabia Winkler, Peter, see Kenyon Thorup, Mikkel, see Paterson Winkler, Peter, see Paterson Troubetzkoy, Serge, Dual Billiards, Wong, Erick B., see Martin Fagnano Orbits, and Regular Polygons, Yap, Shirley Llamado, Poincaré Lemma 251 and an Elementary Construction of Vakil, Ravi, see Keller Vector Potentials, The, 261 Varadarajan, V. S., reviewer, Introduction Zitarelli, David E., see Bartlow to Calculus and Classical Analysis. By Zwick, Uri, see Paterson Alexandrova, Nadezhda, 844, 11462 Gibergans-Baguena, José, see Diaz- Aliyev, Y.N., 463, 11436 Barrero Aliyev, Y.N., 547, 11441 Glasser, M.L., 365, 11426 Bailey, David, Jonathan M. Borwein and Glasser, M.L., 747, 11457 Jérg Waldvogel, 464, 11438 Herschkorn, Stephen, 547, 11439 Bandila, Viorel, 365, 11427 Hillar, Christopher, 277, 11422 Bataille, Michel, 746, 11449 Hillar, Christopher and Lionel Levine, 647, Beckwith, David, 744, 11464 11446 Bencze, Mihaly, 179, 11413 Holing, Kent, 277, 11420 Blatter, Christian, 746, 11455 Holland, Finbarr, 180, 11415 Blumberg, Walter, 365, 11428 Holland, Finbarr, 941, 11471 Borwein, Jonathan M., see Bailey Holland, Finbarr and Stephen Wills, 366, Cavachi, Marius, 83, 11408 11431 Cavachi, Marius, 463, 11433 lonascu, Eugen, 548, 11443 Chang, Xiang Qian, 844, 11463 Jiang, Wei-Dong, 647, 11448 Chang, Xiang Qian, 940, 11467 Just, Erwin, 82, 11407 Dalyay, Pal Péter, 747, 11459 Just, Erwin, 365, 11425 Deutsch, Emeric, 277, 11424 Kerimov, Azer, 746, 11454 Diaz-Barrero, Jose, see Popescu Knuth, Donald, 648, 11452 Diaz-Barrero, Jose and José Gibergans- Kouba, Omran, 83, 11410 Baguena, 547, 11442 Kouba, Omran, 179, 11412 Dzhumadil’daeva, A.A., 82, 11406 Lamb, George, 276, 11418 Erdélyi, Tamas, 464, 11437 Levine, Lionel, see Hillar Falcén, Sergio and Angel Plaza, 277, Ligouras, Panagiote, 463, 11435 11421 Ligouras, Panagiote, 844, 11461 Furdui, Ovidiu, 82, 11405 Lupu, Cezar and Tudorel, 180, 11417 Furdui, Ovidiu, 647, 11447 Lupu, Cezar and Tudorel, 365, 11429 962 © THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 116 Lupu, Cezar and Vicentiu Radulescu, 747 ShahAli, H.A., 548, 11445 11458 Siboni, Stefano, 547, 11440 Makhul, Mahdi, 941, 11472 Simic, Slavko, 463, 11434 Mihai, Vasile, 276, 11419 Simic, Slavko, 940, 11469 Minton, Gregory, 277, 11423 Stanley, Richard, 746, 11453 Mortini, Raymond, 747, 11456 Struble, Raimond A., 82, 11404 Oman, Greg, 648, 11451 Tetiva, Marian, 179, 11414 Perfetti, Paolo, 83, 11409 Tetiva, Marian, 463, 11432 Perfetti, Paolo, 941, 11473 Tetiva, Marian, 548, 11444 Plaza, Angel, see Falcén Tetiva, Marian, 941, 11470 Pohoata, Cosmin, 647. 11450 Waldvogel, Jorg, see Bailey Pohoata, Cosmin, 844, 1 1460 Wills, Stephen, see Holland Pohoata, Cosmin, 940, 11468 Wyn-jones, Alun, 179, 11411 Popescu, Pantelimon George and José Luis Yi, He, 366, 11430 Diaz-Barrero, 845, 11465 Yongge, Tian, 845, 11466 Radulescu, Vicentiu, see Lupu Yu, Yaming, 180, 11416 PROBLEMS SOLVED Achenbach, Timothy, 84 Niiesch, Peter, 749 Amghibech, Said, 468 Pambuccian, Victor, 88 Bae, Byoung Tae, 85 Prasad, M.A., 366 Bagby, Richard, 944 Renault, Marc, 552 Bataille, Michel, 656 Reyes, Manuel, 466 Beckwith, David and Douglas B. Tyler Schilling, Kenneth and BSI Problems (composite solution), 845 Group, 655, 846 Borwein, David, 184 Schmuland, Byron, 464, 847 Burdick, Bruce S., 649 Stakhovsky, Vitaly, 183 Cade, John, 553 Steelman, John Henry, 465 Callan, David, 371 Stenger, Alan, 945 Carter, Annie, 371 Stong, Richard, 277, 180, 183, 369, 369, Chapman, Robin, 366, 468 549. 651, 753 Chen, Hongwei, 747 Tetiva, Marian, 279, 752 Cipu, Mihai, 942 lyler, Douglas B., see Beckwith Dalyay, Pal Péter, 654 Thornber, Nora, 750 Darbinyan, Arman, 184 Vandervelde, Sam, 943 Dickenson, William, see Soland Vowe, Michael, 86, 653 Grivaux, Julien, 849 Wilkinson, John, 465 Grosu, Codrut, 550 Zacharias, John B., 847 Guerreiro, Joao, 748 Zhou, Li, 279 Hook, Julien, 548 BSI Problems Group, 84, 185 Hyténen, Tuomas, 470 BSI Problems Group, see Schilling Keselman, Gregory, 548 CMC 328, 944 Kezlan, Tom, 551 GCHQ Problem Solving Group, 369, 87, Kwong, Harris, 368 283, 848 Lamb, George, 650 National Security Agency Problems Lossers, O. P., 649, 650, 941, 750 Group, 281] Mclnturff, Kim, 370 Szeged Problem Group ‘Fejéntalaltuka’, Meyerson, Mark D., 83 648 Michael, T. S., 372 December 2009] INDTOE VOXLUM E 116 963 SOLUTIONS January, 2009 11282, 11291,8 3 11305, 550 11299,8 4 11310, 551 11300, 11312, 552 11301, 11317, 553 11302, gust—Septembe2r0,09 11304, 11318, 648 11306, 11320, 649 February, 2009 11321, 649 11265, 180 11322, 650 11266a, 181 11323, 650 11267, 183 11324, 651 11308, 183 11325, 653 11309, 184 11326, 654 11311, 185 11327, 655 March, 2009 11328, 656 11264, 277 October, 2009 11313, 279 11329, 747 11314, 279 11330, 748 11316, 281 11337, 749 11319, 283 11338, 750 April, 2009 11340, 750 11266, 366 11341, 752 11270, 368 11345, 753 11271, 369 November, 2009 11293, 370 11331, 845 11298, 371 11332, 846 11303, 372 11333, 847 May, 2009 11334, 847 11273, 464 11336, 848 11281, 465 11347, 849 11283, 465 December, 2009 11284, 466 11335, 941 11286, 466 11339, 942 11288, 468 11342, 943 1 1292/113074,6 8 11343, 944 11315, 470 11344, 945 June—July, 2009 11274, 548 The MONTHLY expresses its appreciation to the following people for their help in refereeing during the past year. We could not function successfully without such people and their hard work. Abbena, Elsa Adams, William Alon, Noga Abbott, Stephen Aichholzer, Oswin Alperin, Jonathan Abrams, Lowell Akopyan, Arseniy Archdeacon, Daniel Adamczewski, Boris Albrecht, Ulrich Archer, Aaron C) THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 116