Journal: The American Mathematical Monthly

Volume 110, Issue 9

761 -- 784Ivaïlo M. Mladenov, John Oprea. The Mylar Balloon Revisited
785 -- 799Karanbir S. Sarkaria. Tetrahedron ABCD of Width 1 with Minimum AB + BC + CD
800 -- 811Stephen McAdam. Bell's Theorem and the Demise of Local Reality
812 -- 825Chris Groër. The Mathematics of Survival: From Antiquity to the Playground
826 -- 830Kamal Poorrezaei. Two Proofs of Graves's Theorem
830 -- 833Jeongseon Baek, Dong-Soo Kim, Young-Ho Kim. A Characterization of the Unit Sphere
834 -- 838Michael W. Botsko. An Elementary Proof of Lebesgue's Differentiation Theorem
838 -- 842Nikita Sidorov. Almost Every Number Has a Continuum of β-Expansions
843 -- 0Óscar Ciaurri. Problem 11041
843 -- 0Yongge Tian. Problem 11040
843 -- 844M. N. Deshpande, Kavita Laghate. Problem 11042
844 -- 0Michel Bataille. Problem 11044
844 -- 0Christoph Soland. Problem 11046
844 -- 0Michael Golomb. Problem 11043
844 -- 0Manoj Prakash Singh. Problem 11045
844 -- 845Donald E. Knuth, Reiner Martin. Products of Transpositions: 10913
845 -- 846Lajos Csete, Li Zhou. Distances to the Sides: 10929
845 -- 0C. P. Rupert, Richard Stong. A Sequence of Integer Polynomials: 10915
846 -- 847Vasile Mihai, Li Zhou. A Tetrahedron with All Faces Congruent: 10934
847 -- 848Aleksandar Ivic. Zetafunctionology: 10939
848 -- 849Slavko Simic, Saïd Amghibech. An Appell-ing Inequality: 10945
849 -- 850Stevo Stevic, Allen Stenger. Asymptotics of a Recurrence: 10946

Volume 110, Issue 8

665 -- 678Charles W. Curtis. Richard Brauer: Sketches from His Life and Work
679 -- 693Hans Havlicek, Gunter Weiß. Altitudes of a Tetrahedron and Traceless Quadratic Forms
694 -- 706Daniel J. Acosta. Newton's Rule of Signs for Imaginary Roots
707 -- 717Matthias Beck, Moshe Cohen, Jessica Cuomo, Paul Gribelyuk. The Number of "Magic" Squares, Cubes, and Hypercubes
718 -- 726Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson. The Sixty-Third William Lowell Putnam Mathematical Competition
727 -- 729Razvan A. Satnoianu. Erdős-Mordell-Type Inequalities in a Triangle
730 -- 735Chris Impens. Stirling's Series Made Easy
736 -- 737Nicolas Lichiardopol. A New Proof of Wedderburn's Theorem
737 -- 741Karim Boulabiar, Gerard Buskes. After the Determinants Are down: A Criterion for Invertibility
742 -- 0M. N. Deshpande, R. M. Welukar. Problem 11033
742 -- 0Omer Yayenie. Problem 11035
742 -- 0William P. Wardlaw. Problem 11034
743 -- 0Noah Rosenberg, Richard Stong. Problem 11039
743 -- 0M. L. Glasser. Problem 11036
743 -- 0Floor van Lamoen. Problem 11038
743 -- 0M. L. J. Hautus. Problem 11037
743 -- 744Greg Martin, Jonathan Bloom, Dan Saracino. Three Proper Subgroups Covering a Group: 10911
744 -- 745Jean Anglesio, Kenneth F. Andersen. A Recursively Defined Series for π/4: 10912
745 -- 746Giovanni Falcone, Richard Stong, Nasha Komanda. A Combination of Cyclotomic Polynomials: 10914
746 -- 747Mathias Beck, Nasha Komanda. A Congruence Involving Ceilings: 10918
746 -- 0Gertrude Ehrlich, Reiner Martin. The Jug Problem with a Source and a Sink: 10916
747 -- 0André Kündgen, Radhika Ramamurthi, Reiner Martin. Maximal Paths in Bipartite Graphs: 10920
747 -- 749Marcin Mazur, Roberto Tauraso, Michel Bataille. A Root Inequality: 10944

Volume 110, Issue 7

561 -- 573Noam D. Elkies. On the Sums
574 -- 592Daniel K. Biss. Which Functor Is the Projective Line?
593 -- 605Jerry Lodder. Curvature in the Calculus Curriculum
606 -- 619Guershon Harel, Jeffrey M. Rabin. Polygons Whose Vertex Triangles Have Equal Area
620 -- 623Harm Derksen. The Fundamental Theorem of Algebra and Linear Algebra
624 -- 627Charles Thas. Projective Generalizations of Two Points of Concurrence on the Nine-Point Circle
627 -- 633Ulrich Abel. On the Lagrange Remainder of the Taylor Formula
633 -- 635Jussi Väisälä. A Proof of the Mazur-Ulam Theorem
636 -- 0Götz Trenkler. Problem 11028
636 -- 0Tim Keller. Problem 11029
636 -- 0H. Reuvers. Problem 11027
636 -- 0Jonathan Sondow. Problem 11026
637 -- 638Torben Maack Bisgaard, Zsolt Páles, Zoltán Sasvári, Richard Bagby. Determinant of a Matrix in Two Variables: 10896
637 -- 0Li Zhou. Problem 11031
637 -- 0Mark Pinsky. Problem 11032
637 -- 0Steven Butler. Problem 11030
638 -- 639Gregory P. Wene, Robin Chapman. Generators of Ideals of Matrices over Finite Fields: 10897
639 -- 0Gordon Rice, Patrick A. Staley, Gerald Myerson, Robin Chapman. Angles with Rational Cosines: 10900
639 -- 640Emeric Deutsch, Nasha Komanda. Derangements That Don't Rise Too Fast: 10902
640 -- 642Richard P. Stanley, Robin Chapman. An Unexpected Appearance of the Catalan Numbers: 10905
642 -- 643Donald E. Knuth, C. P. Rupert, Alex Smith, Richard Stong. Recounting the Rationals, Continued: 10906

Volume 110, Issue 6

465 -- 481Steven G. Krantz. A Matter of Gravity
482 -- 494Godfried Toussaint. Simple Proofs of a Geometric Property of Four-Bar Linkages
495 -- 502Robin Hartshorne. Non-Euclidean III.36
503 -- 515Franklin Mendivil. Fractals, Graphs, and Fields
516 -- 526Tom M. Apostol, Mamikon A. Mnatsakanian. Sums of Squares of Distances in m-Space
527 -- 532Martin Klazar. Counting Even and Odd Partitions
532 -- 536Dragan Vukotic. The Isoperimetric Inequality and a Theorem of Hardy and Littlewood
536 -- 538Anton R. Schep. And Still One More Proof of the Radon-Nikodym Theorem
539 -- 540Michael Somos, Robert Haas 0003. A Linked Pair of Sequences Implies the Primes Are Infinite
540 -- 541James D. Harper. Another Simple Proof of
542 -- 0Razvan A. Satnoianu. Problem 11022
542 -- 0Bernardo Recamán Santos. Problem 11019
542 -- 0Mason Foudroyant Possner. Problem 11021
542 -- 0Wu Wei Chao. Problem 11023
542 -- 0M. L. Glasser. Problem 11020
543 -- 0Floor van Lamoen, Darij Grinberg. Problem 11025
543 -- 0Rick Mabry. Problem 11001
543 -- 0Vicentiu Radulescu. Problem 11024
543 -- 544Wu Wei Chao, Gerry Myerson. Divisibility Conditions Holding as Many Times as You Want: 10898
544 -- 545Zhibing Chen, Shusen Ding. A Higher Mean Value Theorem: 10935
544 -- 0Richard Bagby, O. P. Lossers. Best Polynomial Approximations: 10903
545 -- 546Andor Lukács, Szilárd András, Nathan D. Cahill. Convex n-Gons: 10936
546 -- 547Yves Nievergelt, Achava Nakhash. The Complex Geometric Mean: 10940
547 -- 548Jeffrey C. Lagarias, Thomas Hermann, O. P. Lossers. Decay of a Markov Chain: 10941
548 -- 549Ovidiu Furdui, O. P. Lossers. An Inequality for Triangles: 10950

Volume 110, Issue 5

361 -- 385Charles Livingston. Enhanced Linking Numbers
386 -- 399Mourad Baïou, Michel Balinski. Admissions and Recruitment
400 -- 406János Pach, Rom Pinchasi. How Many Unit Equilateral Triangles Can Be Generated by N Points in Convex Position?
407 -- 416Byron Schmuland. Random Harmonic Series
417 -- 423Hud Hudson. Four Colors Do Not Suffice
424 -- 431John Duncan, Colin M. McGregor. Carleman's Inequality
431 -- 434Michael Nyblom. A Note on the Solvability of a Diophantine Equation Involving Radicals
435 -- 437Jonathan Sondow. Zeros of the Alternating Zeta Function on the Line R(S) = 1
438 -- 0Achilleas Sinefakopoulos. Problem 11014
438 -- 0Ovidiu Furdui. Problem 11015
438 -- 0David Callan. Problem 11013
438 -- 0Calin Popescu. Problem 11012
439 -- 0C. R. Pranesachar. Problem 11017
439 -- 440Roland Bacher, Albert Nijenhuis. A Surprisingly Simple Determinant: 10891
439 -- 0Slavko Simic. Problem 11018
439 -- 0Juan-Boscoa Romero Márquez. Problem 11016
440 -- 441Stephen C. Locke, Richard Stong. Spanning Cycles in Hypercubes: 10892
441 -- 443Andrei Jorza, John H. Lindsey II, Anne-Maria Ernvall, Reijo Ernvall. Groups of Divisors: 10893
443 -- 444Robert A. Sulanke, Jose Luis Arregui, Danijela Vujic, Nelson Castañeda, David Callan. Another Description of the Central Delannoy Numbers: 10894
444 -- 445Christopher J. Hillar, Patrick J. Fitzsimmons. Convergent Series with Exponents: 10928
445 -- 0Jet Wimp, Kenneth Schilling. Serendipitous Solution: 10428

Volume 110, Issue 4

265 -- 288George W. Cobb, Yung-Pin Chen. An Application of Markov Chain Monte Carlo to Community Ecology
289 -- 297Alan F. Beardon, David Minda. On the Pointwise Limit of Complex Analytic Functions
298 -- 313S. C. Coutinho, J. C. McConnell. The Quest for Quotient Rings (Of Noncommutative Noetherian Rings)
314 -- 325Yuval Peres, Károly Simon, Boris Solomyak. Fractals with Positive Length and Zero Buffon Needle Probability
326 -- 330Leslie D. Servi. Nested Square Roots of 2
330 -- 334Nigel Boston. Strategies for the Weakest Link
334 -- 336Mitsuru Uchiyama. Proofs of Korovkin's Theorems via Inequalities
337 -- 339Peter Walker. The Zeros of the Partial Sums of the Exponential Series
340 -- 0José Luis Díaz-Barrero, Juan José Egozcue. Problem 11008
340 -- 0Marty Getz, Dixon Jones. Problem 11005
340 -- 0. Problem 11007
340 -- 0Bogdan Suceava. Problem 11006
341 -- 0Erwin Just, Norman Schaumberger. Problem 11010
341 -- 342Zoltán Sasvári, Richard Stong. Approximating the Binomial Distribution: 10876
341 -- 0David Borwein, Jonathan M. Borwein, Jamal Rooin. Problem 11009
341 -- 0George Lamb. Problem 11011
342 -- 343Pál Péter Dályay, Saïd Amghibech, David Callan. Another Binomial Coefficient Identity: 10878
343 -- 344Nick MacKinnon, John C. Cock. Tiling Squares with Rectangles: 10883
344 -- 345Joaquín Gómez Rey, Albert Nijenhuis, Doyle Henderson, Damuele Riccarelli, Richard Stong. An Unexpected Integer: 10886
346 -- 347Jean Anglesio, Saïd Amghibech, et al.. Six Incenters on a Conic: 10887
347 -- 0William P. Wardlaw, William D. Withers, Ellen Hertz, Horst Brunotte, et al.. Homomorphisms of Quasigroups: 10888

Volume 110, Issue 3

177 -- 180Robert E. Megginson. Yueh-Gin Gung and Dr. Charles Y. Hu Award to Clarence F. Stephens for Distinguished Service to Mathematics
181 -- 201Stan Gudder. Quantum Computation
202 -- 209John Bamberg, Grant Cairns, Devin Kilminster. The Crystallographic Restriction, Permutations, and Goldbach's Conjecture
210 -- 227Stephen B. Gray. Generalizing the Petr-Douglas-Neumann Theorem on N-Gons
228 -- 231Lorenz Halbeisen. Can Kirkman's Schoolgirls Walk Abreast by Forming Arithmetic Progressions?
232 -- 234Ján Minác. Newton's Identities Once Again!
234 -- 238Michael Hardy. An Illuminating Counterexample
238 -- 239Ritsuo Nakamoto. A Norm Inequality for Hermitian Operators
240 -- 0George Lamb. Problem 11000
240 -- 0Roberto Tauraso. Problem 10998
240 -- 0Rick Mabry. Problem 11001
240 -- 241Y.-F. S. Pétermann. Problem 11002
240 -- 0Donald P. Minassian. Problem 10999
241 -- 0Victor Pambuccian. Problem 11004
241 -- 0Stephen B. Gray. Problem 11003
241 -- 243M. N. Deshpande, A. V. Kharashikar, Walther Janous. Recursive Expressions in an Urn Problem: 10868
243 -- 245Donald E. Knuth, Richard Stong. Animals in a Cage: 10875
243 -- 0B. J. Venkatachala, Doyle Henderson. An Exponential Diophantine Equation: 10873
245 -- 246Emeric Deutsch, Daniele Donini. Counting Tilings with L-Tiles and Squares: 10877
246 -- 247Walther Janous. Pairs of Squares: 10879
247 -- 0José Luis Palacios, Richard Stong. Going around Randomly in Circles: 10881

Volume 110, Issue 2

89 -- 108R. Michael Range. Complex Analysis: A Brief Tour into Higher Dimensions
109 -- 123Harold Schoen, Christian Hirsch. Responding to Calls for Change in High School Mathematics: Implications for Collegiate Mathematics
124 -- 132David Hunter, Ted von Hippel. How Rare Is Symmetry in Musical 12-Tone Rows?
133 -- 140J. Peter May. Munshi's Proof of the Nullstellensatz
141 -- 142J. M. Aldaz, Ana Bravo. Euclid's Argument on the Infinitude of Primes
142 -- 147Jack B. Brown, George Kozlowski. Smooth Interpolation, Hölder Continuity, and the Takagi-van der Waerden Function
147 -- 152Bang-Yen Chen. When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
152 -- 153Xingzhi Zhan. The Sharp Rado Theorem for Majorizations
153 -- 154Gabriel Navarro. On the Fundamental Theorem of Finite Abelian Groups
155 -- 0David Lubell. Problem 10992
155 -- 0Giorgio Goldoni. Problem 10993
155 -- 156David Savitt. Problem 10994
155 -- 0Raymond Mortini. Problem 10991
156 -- 0Wu Wei Chao. Problem 10996
156 -- 158Victor Thébault, B. J. English. It's a Long Story: 3887
156 -- 0Ed T. Prothro. Problem 10997
156 -- 0Donato Trigiante. Problem 10995
158 -- 159Ho-Joo Lee, Gerald Myerson. Consecutive Integers Whose Totients Are Multiples of n: 10837
158 -- 0Charles Vanden Eynden, Reiner Martin. A Divisibility Property of Factorials: 10833
159 -- 160Leroy Quet, Richard Stong. An Alternating Sum Involving Unsigned Stirling Numbers: 10863
160 -- 161Hugh L. Montgomery, John H. Lindsey II. Positivity of a Certain Power Series: 10870
160 -- 0Lenny Jones, Florian Luca. Euler to the Rescue: 10869
161 -- 162Donald E. Knuth, Gabriel D. Carroll. Balanced Neighborhood Squares: 10871
162 -- 0Bogdan Suceava, Richard Stong. The Fewest 3-Cycles to Generate an Even Permutation: 10872

Volume 110, Issue 10

869 -- 885Daniel Drucker, Stephen A. Williams. When Does Water Find the Shortest Path Downhill? The Geometry of Steepest Descent Curves
886 -- 899Susanna S. Epp. The Role of Logic in Teaching Proof
900 -- 911Allan Pinkus. Negative Theorems in Approximation Theory
912 -- 927Richard E. Chandler, Carl Dean Meyer, Nicholas J. Rose. Eudoxus Meets Cayley
928 -- 936Frank Blume. A Localized Probabilistic Approach to Circuit Analysis
937 -- 939Inta Bertuccioni. A Topological Puzzle
939 -- 940David C. Ullrich. The Ascoli-Arzelà Theorem via Tychonoff's Theorem
940 -- 944Palaniappan Kannappan. Klee's Trigonometry Problem
944 -- 946Paul Loya. Green's Theorem and the Fundamental Theorem of Algebra
947 -- 950Dominique Hulin, Marc Troyanov. Mean Curvature and Asymptotic Volume of Small Balls
950 -- 955Charles W. Groetsch. Timing Is Everything: The French Connection
956 -- 0Matthias Beck, Marcin Mazur, Shelemyahu Zacks. Problem 11048
956 -- 0Vasile Mihai. Problem 11049
956 -- 0Syrous Marivani. Problem 11047
957 -- 0Kent Holing. Problem 11050
957 -- 0Nick MacKinnon. Problem 11051
957 -- 0Danrun Huang, Daniel Scully. Problem 11052
958 -- 959David M. Bloom, Christopher N. Swanson, Kenneth Schilling. A Convolution of Middle Binomial Coefficients: 10921
958 -- 0Wu Wei Chao. Problem 11053
959 -- 0Mizan R. Khan, Michael Avidon. The Sum of Divisors Won't Die: 10922
960 -- 961Harold G. Diamond, Li Zhou. A Continued Fraction for an Arctan Difference: 10926
960 -- 0David Callan, Harris Kwong. A Permanent Fixture: 10925
961 -- 962Jean-Pierre Grivaux, Allen Stenger, J. Ernest Wilkins Jr.. A Rational Definite Integral: 10938
962 -- 963Erwin Just, Norman Schaumberger, Albert Stadler. Points on a Circle: 10954
963 -- 0. Erratum: Anagrammatical Attribution: 11021
973 -- 984. Volume Information

Volume 110, Issue 1

1 -- 24Rüdger Thiele. Hilbert's Twenty-Fourth Problem
25 -- 35Glenn A. Iba, James Tanton. Candy Sharing
36 -- 45John E. McCarthy. Pick's Theorem - What's the Big Deal?
46 -- 49Florian Luca. Fermat Primes and Heron Triangles with Prime Power Sides
49 -- 52Jennifer T. Betcher, John H. Jaroma. An Extension of the Results of Servais and Cramer on Odd Perfect and Odd Multiply Perfect Numbers
52 -- 57Alan Nash. A Generalized Parallelogram Law
57 -- 0Uri Elias. Rearrangement of a Conditionally Convergent Series
58 -- 0N. Prasanna Kumar, B. G. Shenoy. Problem 10987
58 -- 0Yongge Tian. Problem 10984
58 -- 0Donald E. Knuth. Problem 10985
58 -- 0Herbert S. Wilf. Problem 10986
59 -- 0Wu Wei Chao. Problem 10988
59 -- 0Rick Mabry. Problem 10990
59 -- 0Roland Bacher. Problem 10989
59 -- 60Donald E. Knuth, Allan Pedersen. Highly Variable Lists: 10691
60 -- 61Donald E. Knuth, O. P. Lossers. Exploring All Binary Mazes: 10720
61 -- 62Emeric Deutsch, Doyle Henderson, et al.. Three Recurrences for a Single Sequence: 10860
62 -- 63Raymond Mortini, Jeff Boersema. Inequivalent Topologies: 10890
63 -- 64August Wendijk, Thomas Hermann. Twin Segments in the Arbelos: 10895
64 -- 0M. J. Knight, Li Zhou. Hidden Arctangents: 10901
64 -- 65Michael Becker, Rolf Richberg. A Moment Evaluation: 10919
66 -- 70Victor Pambuccian. Geometry: Euclid and Beyond by Robin Hartshorne