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ORCIDThe American Mathematical Monthly, Volume 126
Volume 126, Number 1, 2019
- Susan Jane Colley:
Letter from the Editor. 3
- Jayadev S. Athreya
, Bruce Reznick, Jeremy T. Tyson:
Cantor Set Arithmetic. 4-17 - Florian Frick, Kelsey Houston-Edwards, Frédéric Meunier:
Achieving Rental Harmony with a Secretive Roommate. 18-32 - Javier Sánchez-Reyes:
The Joukowsky Map Reveals the Cubic Equation. 33-40 - Daniel P. Bossaller, Sergio R. López-Permouth:
On the Associativity of Infinite Matrix Multiplication. 41-52 - Waldemar Pompe:
Concurrent Lines in the Napoleon-style Configurations. 53-59
- Benjamin Sambale:
Pseudo Sylow Numbers. 60-65 - William Cocke, Geetha Venkataraman:
On the Number of Elements of Maximal Order in a Group. 66-69 - Dylan Fridman, Juli Garbulsky, Bruno Glecer, James Grime, Massi Tron Florentin:
A Prime-Representing Constant. 70-73 - José Manuel Rodríguez Caballero:
A Characterization of the Hypotenuses of Primitive Pythagorean Triangles Using Partitions into Consecutive Parts. 74-77
- Vadim Ponomarenko:
Help with the Jumble. 77
- John Donnelly:
On a Conjecture of Fickett. 78-80
- Kantaphon Kuhapatanakul, K. Thongsing:
Generalizations of the Fibonacci-Lucas Relations. 81
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 82-90
- Tullia Dymarz:
Reviews. 91-96
Volume 126, Number 2, 2019
- Pamela Gorkin:
Four Theorems with Their Foci on Ellipses. 99-111
- Arpan Sadhukhan:
A Simple Construction to Prove Mycielski's Theorem. 112
- Jason Cantarella, Tom Needham, Clayton Shonkwiler, Gavin Stewart:
Random Triangles and Polygons in the Plane. 113-134 - Mowaffaq Hajja, Jonathan Sondow:
Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions. 135-150 - Jesús Jerónimo-Castro, Carlos Yee-Romero:
Characterizations of the Euclidean Ball by Intersections with Planes and Slabs. 151-157
- Maxim Arnold, Anatoly Eydelzon:
On Matrix Pythagorean Triples. 158-160 - Jayadev S. Athreya, David Aulicino:
A Trajectory from a Vertex to Itself on the Dodecahedron. 161-162 - Paolo Leonetti:
Convergence Rates of Subseries. 163-167
- B. Sury:
A Ring-theoretic Approach to Bound the Totient Function. 167
- Nicholas Phat Nguyen:
A Note on Cyclotomic Integers. 168-172 - Dorin Andrica, Vlad Crisan:
The Smallest Nontrivial Solution to xk≡1 (modn) and Related Sequences. 173-178
- Robert G. Donnelly, Molly W. Dunkum:
The Group Action Tri-cycle Theorem. 179
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West, Paul Bracken:
Problems and Solutions. 180-188
- Bruce Berndt:
Reviews. 189-192
Volume 126, Number 3, 2019
- Joanne Peeples, James Álvarez, Ruth Charney, John Harris, Jim Lewis, Nancy Ann Neudauer:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2019 to Philip Uri Treisman for Distinguished Service to Mathematics. 195-198 - Daniel H. Ullman, Daniel J. Velleman:
Differences of Bijections. 199-216 - Jean-Paul Allouche:
Two Binomial Identities of Ruehr Revisited. 217-225 - Kannan Soundararajan:
Equidistribution of Zeros of Polynomials. 226-236 - Oscar M. Perdomo:
The Round Taylor Method. 237-251
- V. P. Ramesh, R. Thangadurai, R. Thatchaayini:
A Note on Gauss's Theorem on Primitive Roots. 252-254 - Shirley Llamado Yap:
A Theodorus Construction. 255-259 - Jean Mawhin:
Simple Proofs of the Hadamard and Poincaré-Miranda Theorems Using the Brouwer Fixed Point Theorem. 260-263 - Neil Falkner:
Hahn's Proof of the Hahn Decomposition Theorem, and Related Matters. 264-268 - Tamás Forgács, Jack Luong, Joshua Williamson:
A Note on Infinite Series with Recursively Defined Terms. 269-274
- Bill Rounds:
Euclid's Lemma and the Square Root of 2. 274
- Russell A. Gordon:
Comments on "Subsums of the Harmonic Series". 275-279
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 280-288
Volume 126, Number 4, 2019
- Deborah E. Seacrest, Tyler Seacrest:
The Prisoner Shouting Puzzle and Variations. 291-305 - Alan D. Taylor, Stan Wagon:
A Paradox Arising from the Elimination of a Paradox. 306-318 - Finbarr Holland, Roger Smyth:
Cardioids and Self-inversive Cubic Polynomials. 319-329 - Scott T. Chapman:
So What Is Class Number 2? 330-339
- M. G. Mahmoudi:
A Geometric Interpretation of the Simplicity of SO(3). 340-350
- Simon Demers:
The Smallest Number That Cannot Be Collapsed Using Fewer Than 6 Plus Signs is 3003344034004. 351
- Makoto Ozawa, Scott A. Taylor:
Two More Proofs that the Kinoshita Graph is Knotted. 352-357 - Péter Kórus:
Notes on Projectile Motion. 358-360 - M. Lawrence Glasser:
A Note on Beukers's and Related Double Integrals. 361-363 - Stasys Jukna:
Coin Flipping Cannot Shorten Arithmetic Computations. 364-366 - Stephan Berendonk:
A Napoleonic Theorem for Trapezoids. 367-369
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West, Paul Bracken:
Problems and Solutions. 370-378
- Lowell W. Beineke:
Reviews. 379-384
Volume 126, Number 5, 2019
- Bruce Torrence:
Passing the Buck and Firing Fibonacci: Adventures with the Stochastic Abacus. 387-399
- Dmitri V. Fomin:
Is the Multiset of n Integers Uniquely Determined by the Multiset of Its s-sums? 400-417 - Tim Antonelli:
A Surprising Link Between Integer Partitions and Euler's Number e. 418-429 - Niels Juul Munch:
A Chebyshev Theorem for Ellipses in the Complex Plane. 430-436
- The Hardest Jumbles. 436
- Thomas R. Cameron:
The Determinant from Signed Volume to the Laplace Expansion. 437-447
- Olivier Schneegans:
How Close to 10 Is π2 ? 448
- Gerd Herzog, Peer Christian Kunstmann:
Korovkin's Theorem for Functionals and Limits for Box Integrals. 449-454
- Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 454
- Romuald Ryszard Andruszkiewicz, Karol Pryszczepko:
A Curious Characterization of Subrings of the Field Q and Applications. 455-458 - Raymond Mortini:
A Simpler Proof of Cohen's Factorization Theorem. 459-463 - Aleksander Blaszczyk:
A Simple Proof of Sierpiński's Theorem. 464-466
- Angel Plaza:
kth Power of a Partial Sum. 467
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West, Paul Bracken:
Problems and Solutions. 468-476
- Thomas Ratliff:
Reviews. 477-479
- Solution to the Hardest Jumbles. 479
- Susan Jane Colley:
Editor's Endnotes. 480
Volume 126, Number 6, 2019
- Colin Adams, Allison Henrich, Kate Kearney, Nicholas A. Scoville:
Knots Related by Knotoids. 483-490 - Ronaldo Garcia:
Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits. 491-504 - Tiffany Kolba, Anthony Coniglio, Sarah Sparks, Daniel Weithers:
Noise-Induced Stabilization of Perturbed Hamiltonian Systems. 505-518 - José Hernández Santiago:
The Group-Theoretic Analog of Kuratowski's Closure-Complement Theorem. 519-526 - Jennifer Brooks:
An Interesting Family of Symmetric Polynomials. 527-540
- Judy A. Holdener, Emily Rachfal:
Perfect and Deficient Perfect Numbers. 541-546
- David Treeby:
Relativity. 546
- Krzysztof Chris Ciesielski, M. E. Martínez-Gómez, Juan B. Seoane-Sepúlveda:
"Big" Continuous Restrictions of Arbitrary Functions. 547-552 - Jonathan M. Fraser:
Almost Arithmetic Progressions in the Primes and Other Large Sets. 553-558 - Hunter Swan:
Nonnegative Eigenvectors of Symmetric Matrices. 559-560
- Jacques Gélinas, Alexander G. Smirnov:
Integral Representation for Derivatives of cos( x ). 561
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 562-570
- Dominic Lanphier:
Reviews. 571-576
Volume 126, Number 7, 2019
- John B. Little:
The Many Lives of the Twisted Cubic. 579-592 - Kristopher Tapp:
Measuring Political Gerrymandering. 593-609 - Athanase Papadopoulos:
Three Theorems of Menelaus. 610-619
- The Paul R. Halmos-Lester R. Ford Awards for 2018. 619
- Anatolii Grinshpan, Hugo J. Woerdeman:
A Linear-algebraic Proof of Hilbert's Ternary Quartic Theorem. 620-627 - Michael Maltenfort:
Decimal Selection Functions. 628-634
- Malik Younsi:
Peano Curves in Complex Analysis. 635-640 - Graham J. O. Jameson, Peter R. Mercer:
The Logarithmic Mean Revisited. 641-645 - Marc Chamberland, Eugene A. Herman:
Arctangent Formulas and Pi. 646-650 - Ioulia N. Baoulina:
Integer Ratios of Consecutive Alternating Power Sums. 651-654 - Yossi Lonke:
Shadows of Cube Vertices. 655-656
- Christian Aebi:
53 Is the Smallest Prime That Is Not the Sum or Difference of Powers of the First Two Prime Numbers. 657
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 658-666
- Karl-Dieter Crisman:
Reviews. 667-672
Volume 126, Number 8, 2019
- Mark Krusemeyer, Daniel H. Ullman:
The Seventy-Ninth William Lowell Putnam Mathematical Competition. 675-687
- Carl Pomerance, Chris Spicer:
Proof of the Sheldon Conjecture. 688-698
- Niels Lauritzen, Jesper Funch Thomsen:
A Euclidean Algorithm for Integer Matrices. 699
- Rainer Hegselmann, Ulrich Krause:
Consensus and Fragmentation of Opinions with a Focus on Bounded Confidence. 700-716 - Erik Talvila:
Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral. 717-727 - Florian Luca, Pantelimon Stanica:
Perfect Squares as Concatenation of Consecutive Integers. 728-734
- James East, Ron Niles:
Integer Triangles of Given Perimeter: A New Approach via Group Theory. 735-739 - Harold W. Ellingsen Jr.:
A Fresh Look at Highly Composite Numbers. 740-741 - Fiachra Knox, Bojan Mohar, David R. Wood:
A Golden Ratio Inequality for Vertex Degrees of Graphs. 742-747
- Misha Kutzman, Vadim Ponomarenko:
Count to Six in Six Languages. 747
- Ashish Goyal, Hemant Kalra, Deepak Gumber:
On the Probability That an Automorphism Fixes a Group Element. 748-753
- André Pierro de Camargo:
A Straightforward Approach to the Product Rule. 754
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 755-763
- Priscilla S. Bremser:
Reviews. 764-768
Volume 126, Number 9, 2019
- Lionel Ponton:
The Calkin-Wilf Tree of a Quadratic Surd. 771-785 - Rick Mabry:
Fibonacci Numbers, Integer Compositions, and Nets of Antiprisms. 786-801 - Peter Shiu:
On Erdős's Last Equation. 802-808 - G. J. O. Jameson:
Operator-valued Extensions of Matrix-norm Inequalities. 809-815 - Fredrik Ekström:
Dimension of Random Limsup Sets. 816-824 - Seth Zimmerman, Chungwu Ho:
Partitioning the Real Line into an Uncountable Collection of Everywhere Uncountably Dense Sets. 825-834
- Antonín Slavík:
Unbiased Version of Hall's Marriage Theorem in Matrix Form. 835-837 - Manor Mendel:
A Simple Proof of the Johnson-Lindenstrauss Extension Theorem. 838-840
- Enrique Treviño:
Probabilistic Proof that 1+2+⋯+n=n(n+1)2 . 840
- Franz Embacher, Hans Humenberger:
A Note on the Stammler Hyperbola. 841-844 - Iris Gaber, Arieh Lev, Romina Zigdon:
Insights and Observations on Teaching the Intermediate Value Theorem. 845-849
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 850-858
- Benjamin Braun, Santiago de León, Kyle Franz, Sami Sultan:
Base-b Representations. 859
- Nicholas A. Scoville:
Reviews. 860-864
Volume 126, Number 10, 2019
- Norbert Henze, Günter Last:
Absent-Minded Passengers. 867-875 - Vitaly Bergelson, Joseph Vandehey:
A Hot Spot Proof of the Generalized Wall Theorem. 876-890 - Hugues Bellemare, Yves Langlois, Thomas Ransford:
A Positivity Conjecture Related to the Riemann Zeta Function. 891-904 - Balázs Gerencsér, Viktor Harangi:
Too Acute to Be True: The Story of Acute Sets. 905-914 - Mark L. Huber:
Halving the Bounds for the Markov, Chebyshev, and Chernoff Inequalities Using Smoothing. 915-927
- Bogdan Veklych:
A Minimalist Proof of the Law of Quadratic Reciprocity. 928
- Gérard Lavau:
The Truncated Tetrahedron Is Rupert. 929-932 - Meinolf Geck:
Eigenvalues and Polynomial Equations. 933-935 - Bernardo de la Calle Ysern:
Asymptotically Stable Equilibria of Gradient Systems. 936-939 - B. Sury:
Lower Bound for the Least Common Multiple. 940-942
- François Huppé, Vadim Ponomarenko:
Primes in (0, n] vs. (n, m]. 942
- Anuj Jakhar:
A Useful Irreducibility Result for Integer Polynomials. 943-944
- Hongwei Lou:
Remark on "When Must a Flat Function be Identically 0?". 945
- Gerald A. Edgar, Daniel H. Ullman, Douglas B. West:
Problems and Solutions. 946-954
- Dylan A. King, Thomas C. Martinez, Steven J. Miller, Chenyang Sun:
Reviews. 955-958
- Marion Deutsche Cohen:
End. 958
- Susan Jane Colley:
Editor's Endnotes. 959-960
- Monthly Referees for 2019. i-iv
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