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ORCIDThe American Mathematical Monthly, Volume 110
Volume 110, Number 1, January 2003
- Rüdger Thiele:
Hilbert's Twenty-Fourth Problem. 1-24 - Glenn A. Iba, James Tanton:
Candy Sharing. 25-35 - John E. McCarthy:
Pick's Theorem - What's the Big Deal? 36-45
- Florian Luca:
Fermat Primes and Heron Triangles with Prime Power Sides. 46-49 - Jennifer T. Betcher, John H. Jaroma:
An Extension of the Results of Servais and Cramer on Odd Perfect and Odd Multiply Perfect Numbers. 49-52 - Alan Nash:
A Generalized Parallelogram Law. 52-57 - Uri Elias:
Rearrangement of a Conditionally Convergent Series. 57
- Yongge Tian:
Problem 10984. 58 - Donald E. Knuth:
Problem 10985. 58 - Herbert S. Wilf:
Problem 10986. 58 - N. Prasanna Kumar, B. G. Shenoy:
Problem 10987. 58 - Wu Wei Chao:
Problem 10988. 59 - Roland Bacher:
Problem 10989. 59 - Rick Mabry:
Problem 10990. 59
- Donald E. Knuth, Allan Pedersen:
Highly Variable Lists: 10691. 59-60 - Donald E. Knuth, O. P. Lossers:
Exploring All Binary Mazes: 10720. 60-61 - Emeric Deutsch, Doyle Henderson, et al.:
Three Recurrences for a Single Sequence: 10860. 61-62 - Raymond Mortini, Jeff Boersema:
Inequivalent Topologies: 10890. 62-63 - August Wendijk, Thomas Hermann:
Twin Segments in the Arbelos: 10895. 63-64 - M. J. Knight, Li Zhou:
Hidden Arctangents: 10901. 64 - Michael Becker, Rolf Richberg:
A Moment Evaluation: 10919. 64-65
- Victor Pambuccian:
Geometry: Euclid and Beyond by Robin Hartshorne. 66-70
Volume 110, Number 2, February 2003
- R. Michael Range:
Complex Analysis: A Brief Tour into Higher Dimensions. 89-108 - Harold Schoen, Christian Hirsch:
Responding to Calls for Change in High School Mathematics: Implications for Collegiate Mathematics. 109-123 - David Hunter, Ted von Hippel:
How Rare Is Symmetry in Musical 12-Tone Rows? 124-132 - J. Peter May:
Munshi's Proof of the Nullstellensatz. 133-140
- J. M. Aldaz, Ana Bravo:
Euclid's Argument on the Infinitude of Primes. 141-142 - Jack B. Brown, George Kozlowski:
Smooth Interpolation, Hölder Continuity, and the Takagi-van der Waerden Function. 142-147 - Bang-Yen Chen:
When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? 147-152 - Xingzhi Zhan:
The Sharp Rado Theorem for Majorizations. 152-153 - Gabriel Navarro:
On the Fundamental Theorem of Finite Abelian Groups. 153-154
- Raymond Mortini:
Problem 10991. 155 - David Lubell:
Problem 10992. 155 - Giorgio Goldoni:
Problem 10993. 155 - David Savitt:
Problem 10994. 155-156 - Donato Trigiante:
Problem 10995. 156 - Wu Wei Chao:
Problem 10996. 156 - Ed T. Prothro:
Problem 10997. 156
- Victor Thébault, B. J. English:
It's a Long Story: 3887. 156-158 - Charles Vanden Eynden, Reiner Martin:
A Divisibility Property of Factorials: 10833. 158 - Ho-Joo Lee, Gerald Myerson:
Consecutive Integers Whose Totients Are Multiples of n: 10837. 158-159 - Leroy Quet, Richard Stong:
An Alternating Sum Involving Unsigned Stirling Numbers: 10863. 159-160 - Lenny Jones, Florian Luca:
Euler to the Rescue: 10869. 160 - Hugh L. Montgomery, John H. Lindsey II:
Positivity of a Certain Power Series: 10870. 160-161 - Donald E. Knuth, Gabriel D. Carroll:
Balanced Neighborhood Squares: 10871. 161-162 - Bogdan Suceava, Richard Stong:
The Fewest 3-Cycles to Generate an Even Permutation: 10872. 162
Volume 110, Number 3, March 2003
- Robert E. Megginson:
Yueh-Gin Gung and Dr. Charles Y. Hu Award to Clarence F. Stephens for Distinguished Service to Mathematics. 177-180 - Stan Gudder:
Quantum Computation. 181-201 - John Bamberg, Grant Cairns, Devin Kilminster:
The Crystallographic Restriction, Permutations, and Goldbach's Conjecture. 202-209 - Stephen B. Gray:
Generalizing the Petr-Douglas-Neumann Theorem on N-Gons. 210-227
- Lorenz Halbeisen:
Can Kirkman's Schoolgirls Walk Abreast by Forming Arithmetic Progressions? 228-231 - Ján Minác:
Newton's Identities Once Again! 232-234 - Michael Hardy:
An Illuminating Counterexample. 234-238 - Ritsuo Nakamoto:
A Norm Inequality for Hermitian Operators. 238-239
- Roberto Tauraso:
Problem 10998. 240 - Donald P. Minassian:
Problem 10999. 240 - George Lamb:
Problem 11000. 240 - Rick Mabry:
Problem 11001. 240 - Y.-F. S. Pétermann:
Problem 11002. 240-241 - Stephen B. Gray:
Problem 11003. 241 - Victor Pambuccian:
Problem 11004. 241
- M. N. Deshpande, A. V. Kharashikar, Walther Janous:
Recursive Expressions in an Urn Problem: 10868. 241-243 - B. J. Venkatachala, Doyle Henderson:
An Exponential Diophantine Equation: 10873. 243 - Donald E. Knuth, Richard Stong:
Animals in a Cage: 10875. 243-245 - Emeric Deutsch, Daniele Donini:
Counting Tilings with L-Tiles and Squares: 10877. 245-246 - Walther Janous:
Pairs of Squares: 10879. 246-247 - José Luis Palacios, Richard Stong:
Going around Randomly in Circles: 10881. 247
Volume 110, Number 4, April 2003
- George W. Cobb, Yung-Pin Chen:
An Application of Markov Chain Monte Carlo to Community Ecology. 265-288 - Alan F. Beardon, David Minda:
On the Pointwise Limit of Complex Analytic Functions. 289-297 - S. C. Coutinho, J. C. McConnell:
The Quest for Quotient Rings (Of Noncommutative Noetherian Rings). 298-313 - Yuval Peres, Károly Simon, Boris Solomyak:
Fractals with Positive Length and Zero Buffon Needle Probability. 314-325
- Leslie D. Servi:
Nested Square Roots of 2. 326-330 - Nigel Boston:
Strategies for the Weakest Link. 330-334 - Mitsuru Uchiyama:
Proofs of Korovkin's Theorems via Inequalities. 334-336 - Peter Walker:
The Zeros of the Partial Sums of the Exponential Series. 337-339
- Marty Getz, Dixon Jones:
Problem 11005. 340 - Bogdan Suceava:
Problem 11006. 340 - Problem 11007. 340
- José Luis Díaz-Barrero, Juan José Egozcue:
Problem 11008. 340 - David Borwein, Jonathan M. Borwein, Jamal Rooin:
Problem 11009. 341 - Erwin Just, Norman Schaumberger:
Problem 11010. 341 - George Lamb:
Problem 11011. 341
- Zoltán Sasvári, Richard Stong:
Approximating the Binomial Distribution: 10876. 341-342 - Pál Péter Dályay, Saïd Amghibech, David Callan:
Another Binomial Coefficient Identity: 10878. 342-343 - Nick MacKinnon, John C. Cock:
Tiling Squares with Rectangles: 10883. 343-344 - Joaquín Gómez Rey, Albert Nijenhuis, Doyle Henderson, Damuele Riccarelli, Richard Stong:
An Unexpected Integer: 10886. 344-345 - Jean Anglesio, Saïd Amghibech, et al.:
Six Incenters on a Conic: 10887. 346-347 - William P. Wardlaw, William D. Withers, Ellen Hertz, Horst Brunotte, et al.:
Homomorphisms of Quasigroups: 10888. 347
Volume 110, Number 5, May 2003
- Charles Livingston:
Enhanced Linking Numbers. 361-385 - Mourad Baïou, Michel Balinski:
Admissions and Recruitment. 386-399 - János Pach, Rom Pinchasi:
How Many Unit Equilateral Triangles Can Be Generated by N Points in Convex Position? 400-406 - Byron Schmuland:
Random Harmonic Series. 407-416 - Hud Hudson:
Four Colors Do Not Suffice. 417-423
- John Duncan, Colin M. McGregor:
Carleman's Inequality. 424-431 - Michael Nyblom:
A Note on the Solvability of a Diophantine Equation Involving Radicals. 431-434 - Jonathan Sondow:
Zeros of the Alternating Zeta Function on the Line R(S) = 1. 435-437
- Calin Popescu:
Problem 11012. 438 - David Callan:
Problem 11013. 438 - Achilleas Sinefakopoulos:
Problem 11014. 438 - Ovidiu Furdui:
Problem 11015. 438 - Juan-Boscoa Romero Márquez:
Problem 11016. 439 - C. R. Pranesachar:
Problem 11017. 439 - Slavko Simic:
Problem 11018. 439
- Roland Bacher, Albert Nijenhuis:
A Surprisingly Simple Determinant: 10891. 439-440 - Stephen C. Locke, Richard Stong:
Spanning Cycles in Hypercubes: 10892. 440-441 - Andrei Jorza, John H. Lindsey II, Anne-Maria Ernvall, Reijo Ernvall:
Groups of Divisors: 10893. 441-443 - Robert A. Sulanke, Jose Luis Arregui, Danijela Vujic, Nelson Castañeda, David Callan:
Another Description of the Central Delannoy Numbers: 10894. 443-444 - Christopher J. Hillar, Patrick J. Fitzsimmons:
Convergent Series with Exponents: 10928. 444-445 - Jet Wimp, Kenneth Schilling:
Serendipitous Solution: 10428. 445
Volume 110, Number 6, June - July 2003
- Steven G. Krantz:
A Matter of Gravity. 465-481 - Godfried Toussaint:
Simple Proofs of a Geometric Property of Four-Bar Linkages. 482-494 - Robin Hartshorne:
Non-Euclidean III.36. 495-502 - Franklin Mendivil:
Fractals, Graphs, and Fields. 503-515 - Tom M. Apostol, Mamikon A. Mnatsakanian:
Sums of Squares of Distances in m-Space. 516-526
- Martin Klazar:
Counting Even and Odd Partitions. 527-532 - Dragan Vukotic:
The Isoperimetric Inequality and a Theorem of Hardy and Littlewood. 532-536 - Anton R. Schep:
And Still One More Proof of the Radon-Nikodym Theorem. 536-538 - Michael Somos, Robert Haas:
A Linked Pair of Sequences Implies the Primes Are Infinite. 539-540 - James D. Harper:
Another Simple Proof of. 540-541
- Bernardo Recamán Santos:
Problem 11019. 542 - M. L. Glasser:
Problem 11020. 542 - Mason Foudroyant Possner:
Problem 11021. 542 - Razvan A. Satnoianu:
Problem 11022. 542 - Wu Wei Chao:
Problem 11023. 542 - Vicentiu D. Radulescu:
Problem 11024. 543 - Floor van Lamoen, Darij Grinberg:
Problem 11025. 543 - Rick Mabry:
Problem 11001. 543
- Wu Wei Chao, Gerry Myerson:
Divisibility Conditions Holding as Many Times as You Want: 10898. 543-544 - Richard Bagby, O. P. Lossers:
Best Polynomial Approximations: 10903. 544 - Zhibing Chen, Shusen Ding:
A Higher Mean Value Theorem: 10935. 544-545 - Andor Lukács, Szilárd András, Nathan D. Cahill:
Convex n-Gons: 10936. 545-546 - Yves Nievergelt, Achava Nakhash:
The Complex Geometric Mean: 10940. 546-547 - Jeffrey C. Lagarias, Thomas Hermann, O. P. Lossers:
Decay of a Markov Chain: 10941. 547-548 - Ovidiu Furdui, O. P. Lossers:
An Inequality for Triangles: 10950. 548-549
Volume 110, Number 7, August - September 2003
- Noam D. Elkies:
On the Sums. 561-573 - Daniel K. Biss:
Which Functor Is the Projective Line? 574-592 - Jerry Lodder:
Curvature in the Calculus Curriculum. 593-605 - Guershon Harel, Jeffrey M. Rabin:
Polygons Whose Vertex Triangles Have Equal Area. 606-619
- Harm Derksen:
The Fundamental Theorem of Algebra and Linear Algebra. 620-623 - Charles Thas:
Projective Generalizations of Two Points of Concurrence on the Nine-Point Circle. 624-627 - Ulrich Abel:
On the Lagrange Remainder of the Taylor Formula. 627-633 - Jussi Väisälä:
A Proof of the Mazur-Ulam Theorem. 633-635
- Jonathan Sondow:
Problem 11026. 636 - H. Reuvers:
Problem 11027. 636 - Götz Trenkler:
Problem 11028. 636 - Tim Keller:
Problem 11029. 636 - Steven Butler:
Problem 11030. 637 - Li Zhou:
Problem 11031. 637 - Mark Pinsky:
Problem 11032. 637
- Torben Maack Bisgaard, Zsolt Páles, Zoltán Sasvári, Richard Bagby:
Determinant of a Matrix in Two Variables: 10896. 637-638 - Gregory P. Wene, Robin Chapman:
Generators of Ideals of Matrices over Finite Fields: 10897. 638-639 - Gordon Rice, Patrick A. Staley, Gerald Myerson, Robin Chapman:
Angles with Rational Cosines: 10900. 639 - Emeric Deutsch, Nasha Komanda:
Derangements That Don't Rise Too Fast: 10902. 639-640 - Richard P. Stanley, Robin Chapman:
An Unexpected Appearance of the Catalan Numbers: 10905. 640-642 - Donald E. Knuth, C. P. Rupert, Alex Smith, Richard Stong:
Recounting the Rationals, Continued: 10906. 642-643
Volume 110, Number 8, October 2003
- Charles W. Curtis:
Richard Brauer: Sketches from His Life and Work. 665-678 - Hans Havlicek, Gunter Weiß:
Altitudes of a Tetrahedron and Traceless Quadratic Forms. 679-693 - Daniel J. Acosta:
Newton's Rule of Signs for Imaginary Roots. 694-706 - Matthias Beck, Moshe Cohen, Jessica Cuomo, Paul Gribelyuk:
The Number of "Magic" Squares, Cubes, and Hypercubes. 707-717 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
The Sixty-Third William Lowell Putnam Mathematical Competition. 718-726
- Razvan A. Satnoianu:
Erdős-Mordell-Type Inequalities in a Triangle. 727-729 - Chris Impens:
Stirling's Series Made Easy. 730-735 - Nicolas Lichiardopol:
A New Proof of Wedderburn's Theorem. 736-737 - Karim Boulabiar, Gerard Buskes:
After the Determinants Are down: A Criterion for Invertibility. 737-741
- M. N. Deshpande, R. M. Welukar:
Problem 11033. 742 - William P. Wardlaw:
Problem 11034. 742 - Omer Yayenie:
Problem 11035. 742 - M. L. Glasser:
Problem 11036. 743 - M. L. J. Hautus:
Problem 11037. 743 - Floor van Lamoen:
Problem 11038. 743 - Noah A. Rosenberg, Richard Stong:
Problem 11039. 743
- Greg Martin, Jonathan Bloom, Dan Saracino:
Three Proper Subgroups Covering a Group: 10911. 743-744 - Jean Anglesio, Kenneth F. Andersen:
A Recursively Defined Series for π/4: 10912. 744-745 - Giovanni Falcone, Richard Stong, Nasha Komanda:
A Combination of Cyclotomic Polynomials: 10914. 745-746 - Gertrude Ehrlich, Reiner Martin:
The Jug Problem with a Source and a Sink: 10916. 746 - Mathias Beck, Nasha Komanda:
A Congruence Involving Ceilings: 10918. 746-747 - André Kündgen, Radhika Ramamurthi, Reiner Martin:
Maximal Paths in Bipartite Graphs: 10920. 747 - Marcin Mazur, Roberto Tauraso, Michel Bataille:
A Root Inequality: 10944. 747-749
Volume 110, Number 9, November 2003
- Ivaïlo M. Mladenov, John Oprea:
The Mylar Balloon Revisited. 761-784 - Karanbir S. Sarkaria:
Tetrahedron ABCD of Width 1 with Minimum AB + BC + CD. 785-799 - Stephen McAdam:
Bell's Theorem and the Demise of Local Reality. 800-811 - Chris Groër:
The Mathematics of Survival: From Antiquity to the Playground. 812-825
- Kamal Poorrezaei:
Two Proofs of Graves's Theorem. 826-830 - Jeongseon Baek, Dong-Soo Kim, Young Ho Kim:
A Characterization of the Unit Sphere. 830-833 - Michael W. Botsko:
An Elementary Proof of Lebesgue's Differentiation Theorem. 834-838 - Nikita Sidorov:
Almost Every Number Has a Continuum of β-Expansions. 838-842
- Yongge Tian:
Problem 11040. 843 - Óscar Ciaurri:
Problem 11041. 843 - M. N. Deshpande, Kavita Laghate:
Problem 11042. 843-844 - Michael Golomb:
Problem 11043. 844 - Michel Bataille:
Problem 11044. 844 - Manoj Prakash Singh:
Problem 11045. 844 - Christoph Soland:
Problem 11046. 844
- Donald E. Knuth, Reiner Martin:
Products of Transpositions: 10913. 844-845 - C. P. Rupert, Richard Stong:
A Sequence of Integer Polynomials: 10915. 845 - Lajos Csete, Li Zhou:
Distances to the Sides: 10929. 845-846 - Vasile Mihai, Li Zhou:
A Tetrahedron with All Faces Congruent: 10934. 846-847 - Aleksandar Ivic:
Zetafunctionology: 10939. 847-848 - Slavko Simic, Saïd Amghibech:
An Appell-ing Inequality: 10945. 848-849 - Stevo Stevic, Allen Stenger:
Asymptotics of a Recurrence: 10946. 849-850
Volume 110, Number 10, December 2003
- Volume Information. 973-984
- Daniel Drucker, Stephen A. Williams:
When Does Water Find the Shortest Path Downhill? The Geometry of Steepest Descent Curves. 869-885 - Susanna S. Epp:
The Role of Logic in Teaching Proof. 886-899 - Allan Pinkus:
Negative Theorems in Approximation Theory. 900-911 - Richard E. Chandler, Carl Dean Meyer, Nicholas J. Rose:
Eudoxus Meets Cayley. 912-927 - Frank Blume:
A Localized Probabilistic Approach to Circuit Analysis. 928-936
- Inta Bertuccioni:
A Topological Puzzle. 937-939 - David C. Ullrich:
The Ascoli-Arzelà Theorem via Tychonoff's Theorem. 939-940 - Palaniappan Kannappan:
Klee's Trigonometry Problem. 940-944 - Paul Loya:
Green's Theorem and the Fundamental Theorem of Algebra. 944-946 - Dominique Hulin, Marc Troyanov:
Mean Curvature and Asymptotic Volume of Small Balls. 947-950 - Charles W. Groetsch:
Timing Is Everything: The French Connection. 950-955
- Syrous Marivani:
Problem 11047. 956 - Matthias Beck, Marcin Mazur, Shelemyahu Zacks:
Problem 11048. 956 - Vasile Mihai:
Problem 11049. 956 - Kent Holing:
Problem 11050. 957 - Nick MacKinnon:
Problem 11051. 957 - Danrun Huang, Daniel Scully:
Problem 11052. 957 - Wu Wei Chao:
Problem 11053. 958
- David M. Bloom, Christopher N. Swanson, Kenneth Schilling:
A Convolution of Middle Binomial Coefficients: 10921. 958-959 - Mizan R. Khan, Michael Avidon:
The Sum of Divisors Won't Die: 10922. 959 - David Callan, Harris Kwong:
A Permanent Fixture: 10925. 960 - Harold G. Diamond, Li Zhou:
A Continued Fraction for an Arctan Difference: 10926. 960-961 - Jean-Pierre Grivaux, Allen Stenger, J. Ernest Wilkins Jr.:
A Rational Definite Integral: 10938. 961-962 - Erwin Just, Norman Schaumberger, Albert Stadler:
Points on a Circle: 10954. 962-963 - Erratum: Anagrammatical Attribution: 11021. 963
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