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ORCIDThe American Mathematical Monthly, Volume 109
Volume 109, Number 1, January 2002
- Robert Almgren:
Financial Derivatives and Partial Differential Equations. 1-12 - Richard Evan Schwartz:
Lucy and Lily: A Game of Geometry and Number Theory. 13-20 - J. A. C. Weideman:
Numerical Integration of Periodic Functions: A Few Examples. 21-36 - Victor L. Shapiro:
Harmonic Functions in the Unit Disk. 37-45 - Sérgio B. Volchan:
What Is a Random Sequence? 46-63
- Paolo Roselli, Michel Willem:
A Convexity Inequality. 64-70 - William C. Waterhouse:
Quadratic Polynomials and Unique Factorization. 70-72 - Cristina M. Ballantine, Joel L. Roberts:
A Simple Proof of Rolle's Theorem for Finite Fields. 72-74 - Thomas M. Sellke:
Yet Another Proof of the Radon-Nikodým Theorem. 74-76
- Giovanni Falcone:
Problem 10914. 77 - C. P. Rupert:
Problem 10915. 77 - Gertrude Ehrlich:
Problem 10916. 77 - Jürgen Groß, Götz Trenkler:
Problem 10917. 77 - Matthias Beck:
Problem 10918. 77 - Michael Becker:
Problem 10919. 77-78 - André Kündgen, Radhika Ramamurthi:
Problem 10920. 78
- Nick MacKinnon, Stephen M. Gagola Jr.:
Fibonacci Twin Primes: 10844. 78 - Ciprian Demeter, Li Zhou:
Another Collinearity Result for Triangles: 10845. 78-79 - Józef H. Przytycki, Richard Stong:
Shrinking Lattice Curves: 10846. 79-80 - Robin Chapman, Kimmo Eriksson, Richard P. Stanley, Reiner Martin:
On the Number of Divisors of n in a Special Interval: 10847. 80 - Kenneth B. Stolarsky, O. P. Lossers, et al.:
A Characterization of a Quadratic Polynomial: 10848. 80-81 - Richard Bagby, Michel Battaile:
The Determinant of a Matrix of Sines: 10849. 81-82 - Wolfdieter Lang, Saïd Amghibech:
On a Matrix Obtained from the Catalan Generating Function: 10850. 82-83 - Dragoslav S. Mitrinovic, Slavko Simic:
Special Functions from Long Ago: 5626. 83-84 - Bruce P. Palka:
Editor's Endnotes. 102
Volume 109, Number 2, February 2002
- Eleanor Robson:
Words and Pictures: New Light on Plimpton 322. 105-120 - Audrey A. Terras:
Finite Quantum Chaos. 121-139 - Aaron Abrams, Robert Ghrist:
Finding Topology in a Factory: Configuration Spaces. 140-150 - Arthur Baragar:
Constructions Using a Compass and Twice-Notched Straightedge. 151-164 - Frank Morgan, Roger Bolton:
Hexagonal Economic Regions Solve the Location Problem. 165-172 - James Kuzmanovich, Andrey Pavlichenkov:
Finite Groups of Matrices Whose Entries Are Integers. 173-186
- Liu Zheng:
An Elementary Proof for Two Basic Alternating Series. 187-188 - Robert A. Agnew:
On the TEAM Approach to Investing. 188-192 - Craig Huneke:
The Friendship Theorem. 192-194 - Claude-Alain Faure:
A Short Proof of Lebesgue's Density Theorem. 194-196 - Josef Hofbauer:
A Simple Proof of 1 + 1/22 + 1/32 + ⋯ = π2/6 and Related Identities. 196-200
- David M. Bloom:
Problem 10921. 201 - Mizan R. Khan:
Problem 10922. 201 - Stephen B. Gray:
Problem 10923. 201 - Amol J. Sasane:
Problem 10924. 201 - David Callan:
Problem 10925. 201-202 - Harold G. Diamond:
Problem 10926. 202 - Jeffrey C. Lagarias, Eric M. Rains, Neil J. A. Sloane:
Problem 10927. 202
- Jean Anglesio, Reiner Martin:
Continued Fractions for Some Quadratic Surds: 10773. 202-203 - Catalin Zara, Zachary Franco, T. S. Michael, Todor E. Milev:
A High-Powered Fibonacci Identity: 10774. 203-204 - Paul Bateman, Dennis Eichhorn, Robin Chapman:
Grouping k-Tuples of Integers by the Sum of Their Squares: 10778. 204-205 - Robin Chapman, M. A. Prasad:
An Expression for Even-Indexed Bernuoulli Numbers: 10789. 205-206 - Florian Luca, Nasha Komanda:
A Number and Its Totient Are Not Amicable: 10793. 206-207 - David S. Hough, Rodica Simion, Ali Ekber Gürel:
Divisors of Generalized Catalan Numbers: 10794. 207-208 - Calin Popescu, Roy Barbara, Omran Kouba:
A Sum Related to Quadratic Residues: 10852. 208
Volume 109, Number 3, March 2002
- Warren P. Johnson:
The Curious History of Faà di Bruno's Formula. 217-234 - Wladimir de Azevedo Pribitkin:
Laplace's Integral, the Gamma Function, and beyond. 235-245 - Sam Northshield:
Associativity of the Secant Method. 246-257 - Aimee S. A. Johnson, Kathleen Madden:
Renewal Systems, Sharp-Eyed Snakes, and Shifts of Finite Type. 258-272
- Warren P. Johnson:
Combinatorics of Higher Derivatives of Inverses. 273-277 - Christian Radoux:
The Hankel Determinant of Exponential Polynomials: A Very Short Proof and a New Result Concerning Euler Numbers. 277-278 - Karl Dilcher, Kurt Girstmair:
Dedekind Sums and Uniform Distributions. 279-284 - Robbert Fokkink:
R3 Has No Root. 285
- John Stillwell:
The Continuum Problem. 286-297
- Christopher J. Hillar:
Problem 10928. 298 - Lajos Csete:
Problem 10929. 298 - Paul Schweitzer:
Problem 10930. 298 - Robert DiSario:
Problem 10931. 298 - Christian Bey, Jerrold R. Griggs:
Problem 10932. 298-299 - Paul Lescott:
Problem 10933. 299 - Vasile Mihai:
Problem 10934. 299
- Hadi Salmasian, et al.:
Minimizing the Sum of Negative Powers of Orders of Group Elements: 10775. 299 - Yongge Tian, David W. Carter:
Squashing a Matrix by Adding an Imaginary Part: 10776. 300 - Leonard Smiley, Helmut Prodinger, Robin Chapman, et al.:
A Tree-Counting Identity: 10781. 300-301 - Douglas Iannucci, O. P. Lossers, et al.:
Divisibility Involving Random Sets of Integers: 10782. 301-302 - Emeric Deutsch, John Henry Steelman, David Callan:
A Recursively Defined Sequence of Functions: 10785. 302-304 - Douglas E. Iannucci, Kee-Wai Lau:
Triperfect Numbers: 10800. 304-305 - Wu Wei Chao, Geoffrey A. Kandall:
The Median Meets the Circle of Appolonius: 10862. 305 - Bruce P. Palka:
Editor's Endnotes. 313-314
Volume 109, Number 4, April 2002
- Alan D. Taylor:
The Manipulability of Voting Systems. 321-337 - Jeffrey C. Lagarias, Colin L. Mallows, Allan R. Wilks:
Beyond the Descartes Circle Theorem. 338-361 - Shay Gueron:
Two Applications of the Generalized Ptolemy Theorem. 362-370 - Rita Aggarwala, Michael P. Lamoureux:
Inverting the Pascal Matrix Plus One. 371-377
- Liu Wen:
A Nowhere Differentiable Continuous Function Constructed by Infinite Products. 378-380 - Johannes Huisman:
Rino's Flight around the World in Circles. 380-383 - Casey Mann:
A Tile with Surround Number 2. 383-388 - Reinhard Michel:
On Stirling's Formula. 388-390 - Andrea Vietri:
An Inductive Proof of a Known Result about ψ(x). 390-391
- Zhibing Chen:
Problem 10935. 392 - Andor Lukács, Szilárd András:
Problem 10936. 392 - David G. Wagner:
Problem 10937. 392 - Jean-Pierre Grivaux:
Problem 10938. 392 - Aleksandar Ivic:
Problem 10939. 392 - Yves Nievergelt:
Problem 10940. 393 - Jeffrey C. Lagarias:
Problem 10941. 393
- Paul Bateman, Jeffrey Kalb, Allen Stenger:
A Limit Involving Least Common Multiples: 10797. 393-394 - Paul R. Pudaite, Owen D. Byer, Deirdre Longacher Smeltzer:
A Gambler Urns His Money: 10801. 394-395 - Stephen G. Penrice, et al.:
Expected Rank in an NBA Draft Lottery: 10803. 395-396 - Floor van Lamoen:
Circumcenters on a Circle: 10830. 396-397 - Florian S. Pârvânescu, Roy Barbara:
When ABC Is Equilateral: 10838. 397-398 - Jiansheng Yang, ShuLin Zhou, O. P. Lossers:
An Elaborate Uniform Convergence: 10840. 398-399
Volume 109, Number 5, May 2002
- Jason Cantarella, Dennis DeTurck, Herman Gluck:
Vector Calculus and the Topology of Domains in 3-Space. 409-442 - Shay Gueron, Ran Tessler:
The Fermat-Steiner Problem. 443-451 - M. Ram Murty:
Prime Numbers and Irreducible Polynomials. 452-458 - Alfred J. van der Poorten, Gerhard J. Woeginger:
Squares from Products of Consecutive Integers. 459-462
- Jeff Brooks, Satha Push:
The Cycloidal Pendulum. 463-465 - Paulo Viana, Paula M. Veloso:
Galois Theory of Reciprocal Polynomials. 466-471 - Mira Bhargava:
When Is a Group the Union of Proper Normal Subgroups? 471-473 - Gregory F. Bachelis:
A Short Proof of Hall's Theorem on SDRs. 473-474
- Walther Janous:
Problem 10942. 475 - Calin Popescu:
Problem 10943. 475 - Marcin Mazur:
Problem 10944. 475 - Slavko Simic:
Problem 10945. 475-476 - Stevo Stevic:
Problem 10946. 476 - Problem 10947. 476
- Peter Walker:
Problem 10948. 476
- Antal Fekete, Johann Cigler:
Stirling and Bell and Binomial, Oh My!: 10805. 476-477 - David Beckwith, Karl David:
An Identity for Partitions of Integers: 10809. 477-478 - Phil Tracy, et al.:
The Distance between the Endpoints of a Longest Path: 10811. 478 - Emeric Deutsch, Wen-Jin Woan:
Special Motzkin Paths: 10816. 478-479 - Cezar Joita, Robin Chapman:
The Functional Equation f g = f: 10818. 479-480 - Olaf Krafft, Gabriela Stanica, Pantelimon Stanica:
A Binomial Coefficient Estimate: 10819. 480-481 - Ho-Joo Lee, Marc A. P. Bernstein:
Brocard Angle 30 Degrees: 10824. 481-482 - Ulrich Abel, Douglas B. Tyler:
Reminiscent of Gibbs: 10827. 482
Volume 109, Number 6, June - July 2002
- Elena Anne Marchisotto:
The Theorem of Pappus: A Bridge between Algebra and Geometry. 497-516 - Carrie E. Finch, Lenny Jones:
A Curious Connection between Fermat Numbers and Finite Groups. 517-524 - Tom M. Apostol, Mamikon A. Mnatsakanian:
Subtangents - An Aid to Visual Calculus. 525-533 - Jeffrey C. Lagarias:
An Elementary Problem Equivalent to the Riemann Hypothesis. 534-543 - Leonard Gillman:
Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis. 544-553
- G. E. Hardy, M. V. Subbarao:
A Modified Problem of Pillai and Some Related Questions. 554-559 - Michael Nyblom:
Some Curious Sequences Involving Floor and Ceiling Functions. 559-564 - Timothy G. Feeman, Osvaldo Marrero:
The Right-Hand Derivative of an Integral. 565-568
- Jeffrey C. Lagarias:
Problem 10949. 569 - Ovidiu Furdui:
Problem 10950. 569 - Sung Soo Kim:
Problem 10951. 569 - David Callan:
Problem 10952. 569 - Leroy Quet:
Problem 10953. 570 - Erwin Just, Norman Schaumberger:
Problem 10954. 570 - Razvan A. Satnoianu:
Problem 10955. 570
- Doru Caragea, Viviana Ene, Dean Alvis, Nasha Komanda:
A Millennial Polynomial Problem: 10802. 570-571 - Fred Richman, et al.:
Subspaces of the Vector Space of 2-by-2 Matrices: 10813. 571-572 - Stevo Stevic, Alain Tissier:
The Limit of a Sequence: 10853. 572-573 - Harold G. Diamond, Alain Tissier:
Truncated Series Ratios Alternating about tanh x: 10857. 573-574 - Calin Popescu, Xiaoshen Wang, Thomas McMillan:
Compact Subsets Countable: 10864. 574 - Óscar Ciaurri Ramirez, Daniele Donini:
Sum of an Infinite Series: 10867. 575-576
Volume 109, Number 7, August - September 2002
- Bob Witte:
The 2001 James R. C. Leitzel Lecture: What I Have Learned from the Mathematics Community. 585-594 - Robert F. Brown, Jack E. Girolo:
Isolating Fixed Points. 595-611 - James T. Smith:
Thomsen's Equation. 612-622 - John McCleary:
Trigonometries. 623-638 - Ezra Brown, Bruce T. Myers:
Elliptic Curves from Mordell to Diophantus and Back. 639-649
- Robert L. Lamphere:
Solution of the Direct Problem of Uniform Circular Motion in Non-Euclidean Geometry. 650-655 - M. J. Jamieson:
Fibonacci Numbers and Cotangent Sequences. 655-657 - Iosif Pinelis:
An Equidistribution Phenomenon: Is There a Principle behind It? 657-659 - P. G. Walsh:
On a Question of Kaplansky. 660-661 - Judy A. Holdener:
A Theorem of Touchard on the Form of Odd Perfect Numbers. 661-663
- John McCarthy:
Problem 10956. 664 - Victor Alexandrov:
Problem 10957. 664 - Robin Chapman:
Problem 10958. 664 - George Lamb:
Problem 10959. 665 - Oliver Eng:
Problem 10960. 665 - Brian Conrad:
Problem 10961. 665 - Mihály Bencze:
Problem 10962. 665
- Alberto Facchini, Francesco Barioli, Robin Chapman, Ron Martin Carroll:
Nonsingular Sums of Matrices: 10784. 665-666 - George E. Andrews, Robin J. Chapman:
A Sparse Determinant: 10831. 666-667 - Sung Soo Kim, Richard Johnsonbaugh, Ronald E. Prather, Donald E. Knuth:
Min-Plus Matrix Multiplication: 10834. 667-668 - Ernesto Bruno Cossi, Robin Chapman:
Points on a Sphere: 10855. 668-669 - Jerry Kazdan, Herbert S. Wilf, Darryl K. Nester:
Waiting for the Bus: 10866. 669 - Wu Wei Chao, Li Zhou:
Parallelogram Circumcenters: 10874. 669-670 - Erwin Just, Norman Schaumberger, Paul Budney:
A Little Convexity: 10882. 670 - Zafar Ahmed, Knut Dale, George Lamb:
Definitely an Integral: 10884. 670-671
Volume 109, Number 8, October 2002
- Scott Bailey, Theodore Kim, Robert S. Strichartz:
Inside the Lévy Dragon. 689-703 - Anthony Philippakis:
The Orthic Triangle and the O.K. Quadrilateral. 704-728 - Fernando Rodriguez-Villegas, Lorenzo Sadun, José Felipe Voloch:
Blet: A Mathematical Puzzle. 729-740 - Mark Levene, George Loizou:
Kemeny's Constant and the Random Surfer. 741-745
- Daniel J. Velleman:
Partial Fractions, Binomial Coefficients, and the Integral of an Odd Power of sec θ. 746-749 - Per E. Manne, Steven R. Finch:
A Solution to the Bent Wire Problem. 750-752 - Brunero Liseo:
A Probabilistic Derivation of Dirichlet Integrals. 753-754 - Roberto Sánchez-Peregrino:
A Note on a Closed Formula for Poly-Bernoulli Numbers. 755-756 - Harold R. Parks, Dean C. Wills:
An Elementary Calculation of the Dihedral Angle of the Regular n-Simplex. 756-758
- Paul Deiermann:
Problem 10963. 759 - H. A. ShahAli:
Problem 10964. 759 - John Melville:
Problem 10965. 759 - Jean-Marie De Koninck:
Problem 10966. 759 - Douglas B. West:
Problem 10967. 759 - Stephen C. Locke:
Problem 10968. 759-760 - Richard P. Stanley:
Problem 10969. 760 - Ovidiu Furdui:
Problem 10950. 760
- Madjid Mirzavaziri, et al.:
Least Number with Exactly m Divisors: 10820. 760-761 - George E. Andrews, Karl David, S. J. Bernau, Marty Getz, Dixon Jones:
Periodicity under Shift and Complement: 10823. 761-762 - Carl Miller, Donald E. Knuth:
A Fibonacci-Lucas Extremum: 10825. 762-763 - Walther Janous, Rolf Richberg, Raul A. Simon:
A Totient Sum: 10829. 763 - Sung Soo Kim, Richard Johnsonbaugh, Ronald E. Prather, Donald E. Knuth:
Min-Plus Matrix Multiplication: 10834. 763-764 - Razvan A. Satnoianu, O. P. Lossers:
The Minimum Median: 10880. 764-765 - Klaus Huber, O. P. Lossers, Norbert Ortner, A. Serret:
Cassini's Length: 10889. 765-766 - Bruce P. Palka:
Editor's Endnotes. 774-776
Volume 109, Number 9, November 2002
- Ulrich Daepp, Pamela Gorkin, Raymond Mortini:
Ellipses and Finite Blaschke Products. 785-795 - Daniel Isaksen:
A Cohomological Viewpoint on Elementary School Arithmetic. 796-805 - Bennett Eisenberg, Rosemary Sullivan:
The Fundamental Theorem of Calculus in Two Dimensions. 806-817 - Iwan Praton:
Cutting Polyominos into Equal-Area Triangles. 818-826 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
The Sixty-Second William Lowell Putnam Mathematical Competition. 827-839
- Chun-Hung Hsu, Ming-Chia Li:
Transitivity Implies Period Six: A Simple Proof. 840-843 - N. J. Wildberger:
A New Proof of Cavalieri's Quadrature Formula. 843-845 - Yingying Li:
On Euler's Constant-Calculating Sums by Integrals. 845-850 - Alfred J. van der Poorten:
Life on the Edge. 850-853
- Razvan A. Satnoianu:
Problem 10970. 854 - C. P. Rupert:
Problem 10971. 854 - Tim Ferguson, Lenny Jones:
Problem 10972. 854 - Leslie D. Servi:
Problem 10973. 854 - Syrous Marivani:
Problem 10974. 854-855 - Emeric Deutsch:
Problem 10975. 855 - Vitaly I. Voloshin:
Problem 10976. 855
- Howard M. Taylor, Richard A. Groeneveld, John Stufken, John G. Kemeny, James Laurie Snell, Anthony W. Knapp:
A Careless Walk toward Zero: 10788. 855-856 - David Beckwith, et al.:
Additive Atoms: 10828. 856-857 - Anna Dyubina, Stephen M. Gagola Jr.:
A Group That Is Not Finitely Generated: 10835. 857-858 - Erwin Just, Charles Lanski:
Consequences of a Relation on a Ring: 10841. 858 - Bruce Reznick, Li Zhou, et al.:
Nondivisibility of Binomial Coefficients: 10842. 858-859 - David Beckwith, Li Zhou, David Callan:
A Property of the Binary Sum of a Family of Sets: 10865. 859-860 - Ricardo Martini, Gerhard F. Post, Gerald Leibowitz:
An Inequality of Hardy: 10899. 860 - Ovidiu Furdui, Albert Nijenhuis:
A Square Property: 10904. 860-861
Volume 109, Number 10, December 2002
- Volume Information. 933-943
- Amy Shell-Gellasch:
Mina Rees and the Funding of the Mathematical Sciences. 873-889 - Mark Levi:
Minimal Perimeter Triangles. 890-899 - Tom M. Apostol, Mamikon A. Mnatsakanian:
Tangents and Subtangents Used to Calculate Areas. 900-908
- Richard Jerrard, John E. Wetzel:
Equilateral Triangles and Triangles. 909-915 - Manuel Benito, J. Javier Escribano:
An Easy Proof of Hurwitz's Theorem. 916-918 - Joshua Evan Greene:
A New Short Proof of Kneser's Conjecture. 918-920
- Carl Axness:
Problem 10977. 921 - Jean-Pierre Grivaux:
Problem 10978. 921 - Donald P. Minassian:
Problem 10979. 921 - Ye Zhong Hao:
Problem 10980. 921 - Nicholas Singer:
Problem 10981. 922 - Yuming Chen:
Problem 10982. 922 - Bogdan Suceava:
Problem 10983. 922
- Beresford N. Parlett, Olaf Krafft, Martin Schaefer:
The Largest Eigenvalue of a Positive Definite Symmetric Matrix: 10839. 922-923 - Sung Soo Kim, Charles Diminnie, Roger Zarnowski:
Intermediate Value Functions: 10861. 923 - Szilárd András, Michael Reid:
Arithmetic Means and Geometric Means: 10907. 924-925 - Wu Wei Chao, Richard Stong, Doyle Henderson:
A Functional Equation: 10908. 925-926 - Támás Kalmán, O. P. Lossers:
Isodynamic Points of a Triangle: 10909. 926-927 - Stevo Stevic, Rade Todorovic, Peter M. Jarvis:
nx mod 1: 10910. 927-928
- Errata: 10948. 928
- Errata: 10950. 928
- Errata: 10953. 928
- Errata: Squashing a Matrix by Adding an Imaginary Part: 10776. 928
- Errata: An Expression for Even-Indexed Bernuoulli Numbers: 10789. 928
- Errata: Triperfect Numbers: 10800. 928
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