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ORCIDThe American Mathematical Monthly, Volume 123
Volume 123, Number 1, 2016
- Richard D. Neidinger:
A Fair-Bold Gambling Function Is Simply Singular. 3-18 - Adrien Kassel, David B. Wilson:
The Looping Rate and Sandpile Density of Planar Graphs. 19-39 - José Ángel Cid, Rodrigo López Pouso:
Integration by Parts and by Substitution Unified with Applications to Green's Theorem and Uniqueness for ODEs. 40-52 - M. Ram Murty, Chester Weatherby:
A Generalization of Euler's Theorem for ζ(2k). 53-65 - Shivarajkumar:
Beyond Schur's Conjecture. 66-70 - Yaroslav Shitov:
The Diameter of Chess Grows Exponentially. 71-76 - Daniel J. Velleman:
Monthly Gems. 77
- Michael C. Slattery:
On a Property Motivated by Groups with a Specified Number of Subgroups. 78-81 - Oleg Viro:
Pictorial Calculus for Isometries. 82-87 - Konstantinos Gaitanas:
A Partial Solution of Representing 1 as a Sum of n Distinct Unit Fractions. 87 - David G. Radcliffe:
A Function That Is Surjective on Every Interval. 88-89 - Thomas Osler:
Iterations for the Lemniscate Constant Resembling the Archimedean Algorithm for Pi. 90-93 - Kuldeep Kumar Kataria:
A Probabilistic Proof of the Multinomial Theorem. 94-96 - Xiaoxue Li:
A Synthetic Approach to a USAMO Problem. 96
- Problems And Solutions. 97-105
- Jeffrey Nunemacher, Darren B. Glass:
Reviews. 106-111
- József Sándor:
A Note on the Logarithmic Mean. 112
Volume 123, Number 2, 2016
- Francis C. Motta, Patrick D. Shipman, Bethany Springer:
Optimally Topologically Transitive Orbits in Discrete Dynamical Systems. 115-135 - Ian Morrison, David Swinarski:
Can You Play a Fair Game of Craps with a Loaded Pair of Dice? 136-148 - Deborah A. Kent, David J. Muraki:
A Geometric Solution of a Cubic by Omar Khayyam... in Which Colored Diagrams Are Used Instead of Letters for the Greater Ease of Learners. 149-160 - Mariano Suárez-Álvarez:
Cyclic Extensions Are Radical. 160 - Josh Hiller:
Old Friends in Unexpected Places: Pascal (and Other) Matrices in GLn(ℂ). 161-167 - Richard Blecksmith, John Brillhart, Michael Decaro:
Using Conic Sections to Factor Integers. 168-174
- Michael Z. Spivey:
Probabilistic Proofs of a Binomial Identity, Its Inverse, and Generalizations. 175-180 - E. W. Dekking, F. Michel Dekking:
Helge von Koch′s Snowflake Curve Revisited. 181-184 - Jonathan Baker:
Strong Convexity Does Not Imply Radial Unboundedness. 185-188 - Xin-Jie Sun:
On Sums of Three Pentagonal Numbers. 189-191 - Jeffrey Lutgen:
A Combinatorial Proof of an Alternating Convolution Identity for Multichoose Numbers. 192-196
- Problems and Solutions. 197-204
- Jeffrey Nunemacher:
Reviews. 205-208
Volume 123, Number 3, 2016
- Editorial Board.
- Jennifer J. Quinn:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2016 to George Berzsenyi for Distinguished Service to Mathematics. 211-213 - Karen Hunger Parshall:
Mathematics and the Politics of Race: The Case of William Claytor (Ph.D., University of Pennsylvania, 1933). 214-240 - John P. Boyd:
Correcting Three Errors in Kantorovich & Krylov's Approximate Methods of Higher Analysis. 241-257 - Boris M. Bekker, Oleg A. Ivanov, Alexander S. Merkurjev:
Milnor's Lemma, Newton's Method, and Continued Fractions. 258-266 - Clark Kimberling, Kenneth B. Stolarsky:
Slow Beatty Sequences, Devious Convergence, and Partitional Divergence. 267-273
- Steve Butler, Ron Graham, Richard Stong:
Inserting Plus Signs and Adding. 274-279 - Tom Mertens, Jeff Weeks:
Electromagnetism in a Multiconnected Universe. 280-286 - Jeffrey S. Ovall:
The Laplacian and Mean and Extreme Values. 287-291 - Peter McGrath:
On the Smooth Jordan Brouwer Separation Theorem. 292-295 - José Luis Ramírez:
An Identity of Carlitz and Its Generalization. 295
- Problems and Solutions. 296-303
- Jeffrey Nunemacher, Craig H. Jackson:
Reviews. 304-308
Volume 123, Number 4, 2016
- Editorial Board.
- Paul-Jean Cahen, Jean-Luc Chabert:
What You Should Know About Integer-Valued Polynomials. 311-337 - Keith Johnson, Kira Scheibelhut:
Rational Polynomials That Take Integer Values at the Fibonacci Numbers. 338-346 - Gary Brookfield:
Factoring Forms. 347-362 - Grant Cairns, Yuri Nikolayevsky, Gavin Rossiter:
Conewise Linear Periodic Maps of the Plane with Integer Coefficients. 363-375 - Mohamed Ayad, Omar Kihel, Jesse Larone:
When Does a Given Polynomial with Integer Coefficients Divide Another? 376-381
- Neil J. Calkin, Beth Novick, Hayato Ushijima-Mwesigwa:
What Moser Could Have Asked: Counting Hamilton Cycles in Tournaments. 382-386 - Nuno Luzia:
A Proof of The Pythagorean Theorem After Descartes. 386 - Ovidiu Costin, Neil Falkner, Jeffery D. McNeal:
Some Generalizations of the Riemann-Lebesgue Lemma. 387-391 - Peter S. Landweber, Emanuel A. Lazar, Neel Patel:
On Fiber Diameters of Continuous Maps. 392-397 - Daniel López-Aguayo:
Irrationality via Maximality. 397
- Dennis S. Bernstein, Khaled F. Aljanaideh, Arthur E. Frazho:
Laurent Series and ℓp Sequences. 398 - Problems and Solutions. 399-406
- Jeffrey Nunemacher, Thomas Garrity:
Reviews. 407-412
Volume 123, Number 5, 2016
- Editorial Board.
- Søren Eilers:
The LEGO Counting Problem. 415-426 - Harold P. Boas:
Mocposite Functions. 427-438 - Tom M. Apostol, Mamikon A. Mnatsakanian:
A New Look at Surfaces of Constant Curvature. 439-447 - Jaime Cruz-Sampedro, Margarita Tetlalmatzi-Montiel:
Hardy's Reduction for a Class of Liouville Integrals of Elementary Functions. 448-470 - Piotr Josevich:
An Alternative Approach to the Product Rule. 470 - Gary L. Mullen, Daniel Panario, David Thomson:
Fast and Simple Modular Interpolation Using Factorial Representation. 471-480 - Iosif Pinelis:
On Measurable Semigroups in ℝ. 481
- Arseniy Sheydvasser:
A Corrigendum to Unreasonable Slightness. 482-485 - Karl Dilcher, Christophe Vignat:
Euler and the Strong Law of Small Numbers. 486-490 - Tim Hsu:
Rational Nonaxis Points on the Unit Circle Have Irrational Angles. 490 - Iosif Pinelis:
Explicit Additive Decomposition of Norms on ℝ2. 491-496 - Michael Gaul, Fred Kuczmarski:
Parabolas and Archimedes' 2/3-Property. 497-501 - Peter McGrath:
An Extremely Short Proof of the Hairy Ball Theorem. 502-503
- Problems and Solutions. 504-511
- Jeffrey Nunemacher, Gerald L. Alexanderson:
Reviews. 512-514
- Scott T. Chapman:
Editor's End Notes. 515-516
Volume 123, Number 6, 2016
- Editorial Board.
- Jennifer M. Johnson, János Kollár:
Arcology. 519-541 - Steve Butler, Persi Diaconis, Ron Graham:
The Mathematics of the Flip and Horseshoe Shuffles. 542-556 - Valerio De Angelis, Dominic Marcello:
Wilf's Conjecture. 557-573 - F. Adrián F. Tojo:
A Hyperbolic Analog of the Phasor Addition Formula. 574-582 - Pablo A. Panzone:
Tiling the Plane with Different Hexagons and Triangles. 583-591
- Franklin H. J. Kenter:
How to Win Your Betting Pool with Jensen's Inequality and the Law of Large Numbers. 592-596 - Erhan Gürel:
On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products. 597-599 - Hunter Swan:
Expected Number of Vertices of a Hypercube Slice. 600-604 - Peter McCauley:
Proofs Without Using Limits of Both Calculus Power Rules. 604 - Pham Duy Khanh, Marc Lassonde:
Quasiconvex Linear Perturbations and Convexity. 605-608 - Ariel Amir, Mikhail Lemeshko, Tadashi Tokieda:
Surprises in Numerical Expressions of Physical Constants. 609-612
- Problems and Solutions. 613-620
- Jeffrey Nunemacher, Leslie Hogben, Mark Hunacek:
Reviews. 621-624
Volume 123, Number 7, 2016
- Editorial Board.
- Laura Florescu, Lionel Levine, Yuval Peres:
The Range of a Rotor Walk. 627-642 - Lawrence Zalcman:
A Tale of Three Theorems. 643-656 - Márton Balázs, Áron Folly:
An Electric Network for Nonreversible Markov Chains. 657-682 - Vincent E. Coll, Jeff Dodd:
A Characteristic Averaging Property of the Catenary. 683-688 - Dennis Ivanov, Serge Tabachnikov:
The Six Circles Theorem Revisited. 689-698
- Arnon Avron, Nachum Dershowitz:
Cayley's Formula: A Page From The Book. 699-700 - Michael Hardy:
On Tangents and Secants of Infinite Sums. 701-703 - Alex Kasman:
Factorization of a Matrix Differential Operator Using Functions in Its Kernel. 704-709 - Brian D. Sittinger:
Computing ζ(2m) by Using Telescoping Sums. 710-715 - Yuanyuan Yao, Wenxia Li:
Generating Iterated Function Systems for the Vicsek Snowflake and the Koch Curve. 716-721
- Problems and Solutions. 722-730
- Jeffrey Nunemacher, Matthew Richey:
Reviews. 731-736
Volume 123, Number 8, 2016
- Editorial Board.
- Leonard F. Klosinski, Gerald L. Alexanderson, Mark Krusemeyer:
The Seventy-Sixth William Lowell Putnam Mathematical Competition. 739-752 - Jeffrey C. Lagarias:
Erdős, Klarner, and the 3x + 1 Problem. 753-776 - Dvij Bajpai, Daniel J. Velleman:
Anonymity in Predicting the Future. 777-788 - Philippe Caldero, Jérôme Germoni:
Equilateral Triangles and the Fano Plane. 789-801 - T. S. Michael, Val Pinciu:
The Art Gallery Theorem, Revisited. 802-807 - Lon H. Mitchell, Michael A. Jones, Brittany Shelton:
Abelian and Non-Abelian Triangle Mysteries. 808-813
- Yong Kong, Shaowei Zhang:
The Adventitious Angles Problem: The Lonely Fractional Derived Angle. 814-816 - Jesús Jerónimo-Castro, Carlos Yee-Romero:
Maximal Isoptic Chords of Convex Curves. 817-820 - Olivier de La Grandville:
An Alternate Derivation of the Euler-Poisson Equation. 821-824 - Jan A. Grzesik:
Yet Another Analytic Proof of Napoleon's Theorem. 824 - Bálint Farkas, Sven-Ake Wegner:
Variations on Barbălat's Lemma. 825-830
- Problems and Solutions. 831-839
- Jeffrey Nunemacher, Mark Kidwell:
Reviews. 840-843 - Halil Mutuk:
A Physical Proof for Cauchy's Inequality. 843
Volume 123, Number 9, 2016
- Editorial Board.
- Scott T. Chapman:
A Letter From the Editor: Jonathan M. Borwein (1951-2016). 847-848 - Paul Baginski, Ryan Rodriguez, George J. Schaeffer, Yiwei She:
Finding Elements With Given Factorization Lengths and Multiplicities. 849-870 - Lyle Ramshaw:
Stråhle's Equal-Tempered Triumph. 871-883 - Jean C. Cortissoz:
A Note on Harmonic Functions on Surfaces. 884-893 - Uuganbaatar Ninjbat:
Another Memorable Mongolian Olympiad Problem: A Two-Colored Rectangular Lattice. 894-899 - Joshua Brown Kramer, Jonathan Cutler, A. J. Radcliffe:
The Multistep Friendship Paradox. 900-908 - Sean Eastman, Selwyn Hollis, Kawee Numpacharoen, Jared Schlieper:
The Volume of the Spatial Region Corresponding to n × n Correlation Matrices. 909-918 - Ivica Martinjak:
Two Extensions of the Sury's Identity. 919
- Bernd Schomburg:
Primitivity and Orbit Decomposition. 920-923 - Adrian W. Dudek:
On the Success of Mishandling Euclid's Lemma. 924-927 - Alan J. Hoffman, Chai Wah Wu:
A Simple Proof of a Generalized Cauchy - Binet Theorem. 928-930 - Nicolae Anghel:
Optimal Bounds for the Roots of Polynomials. 931-935 - Anthony J. Bevelacqua:
A Family of Non-Euclidean PIDs. 936-939 - Kuldeep Kumar Kataria:
An Alternate Proof of the Binomial Theorem. 940
- Problems and Solutions. 941-948
- Jeffrey Nunemacher, Gerald B. Folland:
Reviews. 949-952
Volume 123, Number 10, 2016
- Editorial Board.
- Scott T. Chapman:
A Letter from the Editor: The Long and Winding Road. 955-958 - Single Digit NFL Scores. 959
- Alfred Geroldinger:
Sets of Lengths. 960-988 - Anton A. Klyachko, Anton N. Vassilyev:
Balanced Factorizations. 989-1000 - Melvyn B. Nathanson:
Cantor Polynomials and the Fueter-Pólya Theorem. 1001-1012 - Aaron M. Broussard, Martin E. Malandro, Abagayle Serreyn:
Optimizing the Video Game Multi-Jump: Player Strategy, AI, and Level Design. 1013-1032
- Jeffrey C. Lagarias, Takumi Murayama, David Harry Richman:
Dilated Floor Functions That Commute. 1033-1038 - Stephan Ramon Garcia, Florian Luca:
Quotients of Fibonacci Numbers. 1039-1044 - Richard Ehrenborg, Alex Happ:
Parking Cars of Different Sizes. 1045-1048 - Corrigendum to "A New Proof of the Change of Variable Theorem for the Riemann Integral". 1049
- Problems and Solutions. 1050-1057
- Jeffrey Nunemacher, Chris A. Marx:
Reviews. 1058-1061
- Monthly Referees for 2016. 1062-1066
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