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}
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author = {Hong, Chun Yu and Köppe, Matthias and Zhou, Yuan},
editor = {Greuel, Gert-Martin and Koch, Thorsten and Paule, Peter and Sommese, Andrew},
publisher = {Springer International Publishing},
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title = {Software for Cut-Generating Functions in the Gomory--Johnson Model and Beyond},
}
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note = {http://arxiv.org/abs/0706.0549},
pages = {159--191},
title = {A Primer on Computational Group Homology and Cohomology Using GAP and SAGE},
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author = {Joyner, David and Hampton, Marshall},
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note = {http://jhupbooks.press.jhu.edu/ecom/MasterServlet/GetItemDetailsHandler?iN=9781421406374&qty=1&source=2&viewMode=3},
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}
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note = {http://www.amazon.com/Selected-Unsolved-Problems-Numerical-Harmonic/dp/0817682554},
title = {Selected Unsolved Problems in Coding Theory},
}
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date = {2008},
note = {http://sage.math.washington.edu/home/wdj/expository},
pages = {115--140},
title = {Group Theory in SAGE},
}
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author = {Joyner, David and Ksir, Amy},
date = {2006},
journaltitle = {IEEE Transactions on Information Theory},
note = {http://sage.math.washington.edu/home/wdj/research},
pages = {3325--3329},
title = {Automorphism Groups of Some AG codes},
volume = {52},
}
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title = {Open Source Mathematical Software},
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volume = {216},
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pages = {71--81},
title = {Search Techniques for Root-Unitary Polynomials},
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note = {http://arxiv.org/abs/0801.2778},
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@article{zhou:extreme-notes,
abstract = {In this note we announce the availability of an electronic compendium of extreme functions for Gomory--Johnson's infinite group problem. These functions serve as the strongest cut-generating functions for integer linear optimization problems. We also close several gaps in the literature.},
author = {Köppe, Matthias and Zhou, Yuan},
annotation = {in basu-hildebrand-koeppe-papers/yuan/extreme-notes/extreme-notes.tex},
date = {2015},
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title = {Cryptography},
}
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title = {Addition law structure of elliptic curves},
volume = {131},
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note = {http://sage.math.washington.edu/home/tkosan/newbies_book/},
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volume = {5081},
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volume = {6244},
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author = {Krenn, Daniel},
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note = {http://www.sagemath.org/files/thesis/krenn-thesis-2012.pdf},
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type = {phdthesis},
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volume = {171},
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author = {Laarakker, Avra},
institution = {Acadia University},
location = {Canada},
date = {2009},
note = {http://www.sagemath.org/files/thesis/laarakker-thesis-2009.pdf},
title = {Topological Properties of Tiles and Digit Sets},
type = {mathesis},
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note = {http://archimede.mat.ulaval.ca/amq/BullNumeros.html},
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title = {Sage, un logiciel libre de mathématiques},
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}
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author = {Rodríguez, José Alejandro Lara},
institution = {Universidad Autónoma de Yucatán},
location = {Mexico},
date = {2009},
title = {Some conjectures and results about multizeta values for $\mathbb{F}_q[t]$},
type = {mathesis},
}
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author = {Rodríguez, José Alejandro Lara},
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note = {http://arxiv.org/abs/1108.4722},
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number = {11},
pages = {2081--2099},
title = {Relations between multizeta values in characteristic $p$},
volume = {131},
}
@misc{LaraRodriguez2011b,
author = {Rodríguez, José Alejandro Lara},
date = {2011},
howpublished = {arXiv:1108.4726},
note = {http://arxiv.org/abs/1108.4726},
title = {Special relations between multizeta values and parity results},
}
@article{LaraRodriguez2012,
author = {Rodríguez, José Alejandro Lara},
date = {2012},
journaltitle = {Journal of Number Theory},
note = {http://dx.doi.org/10.1016/j.jnt.2011.12.005},
number = {4},
pages = {495--501},
title = {On von Staudt for Bernoulli-Carlitz numbers},
volume = {132},
}
@misc{Lauder2012,
author = {Lauder, Alan},
date = {2012},
howpublished = {Home page of Alan Lauder},
note = {http://people.maths.ox.ac.uk/lauder/},
title = {Efficient computation of Rankin p-adic L-functions},
}
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title = {Parameterization of subgrid stirring in eddy resolving ocean models. Part 1: Theory and diagnostics},
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date = {2013},
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author = {Price, Gregory Nathan},
institution = {Department of Electrical Engineering and Computer Science},
location = {Massachusetts Institute of Technology, USA},
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note = {http://www.sagemath.org/files/thesis/price-thesis-2008.pdf},
title = {A Pseudopolynomial Algorithm for Alexandrov's Theorem},
type = {mathesis},
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author = {Ruotsalainen, Lauri},
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note = {http://www.sagemath.org/files/thesis/ruotsalainen-thesis-2011.pdf},
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type = {mathesis},
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}
@book {ZimmermannEtAl2018,
author = {Zimmermann, Paul and Casamayou, Alexandre and Cohen, Nathann and Connan, Guillaume and Dumont, Thierry and Fousse, Laurent and Maltey, Fran\c{c}ois and Meulien, Matthias and Mezzarobba, Marc and Pernet, Cl\'{e}ment and Thi\'{e}ry, Nicolas M. and Bray, Erik and Cremona, John and Forets, Marcelo and Ghitza, Alexandru and Thomas, Hugh},
date = {2018},
title = {Computational mathematics with {S}age{M}ath},
publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA},
doi = {10.1137/1.9781611975468},
}
@article{pecora2014cluster,
author = {Pecora, Louis M and Sorrentino, Francesco and Hagerstrom, Aaron M and Murphy, Thomas E and Roy, Rajarshi},
publisher = {Nature Publishing Group},
date = {2014},
doi = {10.1038/ncomms5079},
journaltitle = {Nature communications},
note = {http://www.nature.com/ncomms/2014/140613/ncomms5079/full/ncomms5079.html},
title = {Cluster synchronization and isolated desynchronization in complex networks with symmetries},
volume = {5},
}
@book{bard2014,
author = {Bard, Gregory V.},
publisher = {American Mathematical Society},
date = {2014},
note = {http://www.gregorybard.com/SAGE.html},
title = {Sage for Undergraduates},
}
@article{doi:10.1021/jp504197w,
author = {Mietta, J. L. and Negri, R. M. and Tamborenea, P. I.},
date = {2014},
doi = {10.1021/jp504197w},
eprint = {http://dx.doi.org/10.1021/jp504197w},
journaltitle = {The Journal of Physical Chemistry C},
note = {http://dx.doi.org/10.1021/jp504197w},
number = {35},
pages = {20594--20604},
title = {Numerical Simulations of Stick Percolation: Application to the Study of Structured Magnetorheological Elastomers},
volume = {118},
}
@article{rhalyrhoadesweightedmean,
author = {Jr., H. C. Rhaly and Rhoades, B. E.},
date = {2014},
journaltitle = {Studia Universitatis Babes-Bolyai Mathematica},
note = {http://www.cs.ubbcluj.ro/~studia-m/2014-3/08-rhaly-final.pdf},
number = {3},
pages = {365--368},
title = {The weighted mean operator on $\ell^2$ with weight sequence $w_n = (n + 1)^p$ is hyponormal for $p=2$},
volume = {59},
}
@article{HoRationalPoints2014,
author = {Ho, Wei},
date = {2014},
journaltitle = {American Mathematical Society. Bulletin. New Series},
note = {http://dx.doi.org/10.1090/S0273-0979-2013-01433-2},
number = {1},
pages = {27--52},
title = {How many rational points does a random curve have?},
volume = {51},
}
@article{GouveaReview,
author = {Gouvêa, Fernando Q.},
date = {2013},
journaltitle = {American Mathematical Monthly},
number = {1},
pages = {84--94},
title = {Elliptic curves, modular forms, and their $L$-functions [book review]},
volume = {120},
}
@article{LozanoRField,
author = {Lozano-Robledo, Álvaro},
date = {2013},
journaltitle = {Mathematische Annalen},
number = {1},
pages = {279--305},
title = {On the field of definition of $p$-torsion points on elliptic curves over the rationals},
volume = {357},
}
@article{LozanoRFormalGroups,
author = {Lozano-Robledo, Álvaro},
date = {2013},
journaltitle = {Pacific Journal of Mathematics},
number = {1},
pages = {145--164},
title = {Formal groups of elliptic curves with potential good supersingular reduction},
volume = {261},
}
@book{anastassiou2015numerical,
author = {Anastassiou, George A and Mezei, Razvan A},
publisher = {Springer},
date = {2015},
title = {Numerical Analysis Using Sage},
}
@misc{cryptoeprint:2015:589,
author = {Leventi-Peetz, A.-M. and Peetz, J.-V.},
date = {2015},
howpublished = {Cryptology ePrint Archive, Report 2015/589},
note = {http://eprint.iacr.org/2015/589},
title = {Generating S-Box Multivariate Quadratic Equation Systems And Estimating Algebraic Attack Resistance Aided By SageMath},
}
@article{fresl2013generalized,
author = {Fresl, Krešimir and Gidak, Petra and Vrančić, Romana},
publisher = {Hrvatski savez građevinskih inženjera},
date = {2013},
journaltitle = {Građevinar},
number = {08},
pages = {707--720},
title = {Generalized minimal nets in form finding of prestressed cable nets},
volume = {65},
}
@book{sanggulee2014calculus,
author = {Beezer, Robert A and Lee, Sang-Gu and Kim, Eung-Ki and Ham, Yoonmee and Kumar, Ajit},
publisher = {Kyung Moon Sa},
date = {2014},
title = {Calculus},
}
@book{hefferonlinearalgebra,
author = {Hefferon, Jim},
publisher = {CC BY-SA 2.5 self-published},
date = {2014},
title = {Linear Algebra (lab manual)},
}
@article{hefferon2016,
author = {Hefferon, Jim and Schueller, Albert},
publisher = {Springer},
date = {2016},
journaltitle = {The Mathematical Intelligencer},
number = {2},
pages = {6--9},
title = {Writing an Open Text},
volume = {38},
}
@book{WagstaffJoyFactoring,
author = {Wagstaff, Jr., Samuel S.},
publisher = {American Mathematical Society, Providence, RI},
date = {2013},
isbn = {978-1-4704-1048-3},
pages = {xiv+293},
series = {Student Mathematical Library},
title = {The joy of factoring},
volume = {68},
}
@article{2015arXiv150904608S,
author = {{Schmidt}, B.},
date = {2015-09},
eprint = {1509.04608},
eprintclass = {math.AG},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Algebraic Geometry,14F05 (Primary),14J30,18E30 (Secondary)},
title = {{Bridgeland Stability on Threefolds - Some Wall Crossings}},
}
@article{dohmen2014closed,
author = {Dohmen, Klaus},
date = {2015},
journaltitle = {Australas. J. Combin.},
number = {2},
pages = {196--201},
title = {Closed-form expansions for the universal edge elimination polynomial},
volume = {63},
}
@article{2014arXiv1409.5156R,
author = {{Rhaly}, Jr, H. C.},
date = {2014-09},
eprint = {1409.5156},
eprintclass = {math.FA},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Functional Analysis,47B20},
title = {The weighted mean matrix with weight sequence $w_n=2n+1$ is a hyponormal operator on $\ell^2$},
}
@article{2015arXiv151007141C,
author = {{Celoria}, D.},
date = {2015-10},
eprint = {1510.07141},
eprintclass = {math.GT},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Geometric Topology},
title = {{A note on Grid Homology in lens spaces: $\mathbb Z$ coefficients and computations}},
}
@book{TI2016,
author = {Theobald, Thorsten and Iliman, Sadik},
publisher = {Springer},
date = {2016},
title = {Einführung in die computerorientierte Mathematik mit Sage},
}
@book{polishSageBook,
author = {Giniewicz, Andrzej and Zajączkowska, Katarzyna},
publisher = {GiS},
date = {2015},
title = {Zrozumieć matematykę z pakietem Sage ("Understand mathematics with the Sage package")},
}
@thesis{Ajouz15,
author = {Ajouz, Ali},
institution = {Faculty IV: Science and Technology, Universität Siegen},
language = {eng},
date = {2015},
title = {Hecke operators on Jacobi forms of lattice index and the relation to elliptic modular forms},
type = {phdthesis},
}
@misc{walker2015creating,
author = {Walker, James S},
publisher = {American Mathematical Society, AMS},
date = {2015},
journaltitle = {Notices of the American Mathematical Society},
number = {11},
pages = {1350--1354},
title = {Creating Symmetry: The Artful Mathematics of Wallpaper Patterns by Frank A. Farris (Book Review)},
volume = {62},
}
@thesis{Spi-2015,
author = {Spicer, Simon V.B.},
institution = {University of Washington},
date = {2015},
title = {The Zeros of Elliptic Curve $L$-functions: Analytic Algorithms with Explicit Time Complexity},
type = {phdthesis},
}
@article{2016arXiv160100013G,
author = {{Guliyev}, N. J. and {Ismailov}, V. E.},
date = {2016-12},
eprint = {1601.00013},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Computer Science - Neural and Evolutionary Computing,Computer Science - Information Theory,Mathematics - Numerical Analysis,41A30,92B20},
title = {{A single hidden layer feedforward network with only one neuron in the hidden layer can approximate any univariate function}},
}
@misc{takemoricomputation,
author = {Takemori, Sho},
date = {2014},
note = {https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/223144/1/1907-18.pdf},
title = {On the computation of Siegel modular forms of degree 2 with Sage},
}
@article{2016arXiv160100181C,
author = {{Cohen}, N. and {Pasechnik}, D. V.},
publisher = {Springer Science and Business Media LLC},
url = {https://doi.org/10.1007/s10623-016-0264-x},
date = {2016-08},
doi = {10.1007/s10623-016-0264-x},
issn = {1573-7586},
journaltitle = {Designs, Codes and Cryptography},
keywords = {Mathematics - Combinatorics,Computer Science - Discrete Mathematics,05E30,68-04},
note = {https://doi.org/10.1007/s10623-016-0264-x and arXiv e-print 1601.00181},
number = {1-2},
pages = {223--235},
title = {{Implementing Brouwer's database of strongly regular graphs}},
volume = {84},
}
@article{bishnoi2015new,
author = {Bishnoi, Anurag and De Bruyn, Bart},
date = {2016},
journaltitle = {The Electronic Journal of Combinatorics},
note = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i2p35/ and arXiv preprint arXiv:1501.04119},
number = {2},
title = {A New Near Octagon and the Suzuki Tower},
volume = {23},
}
@book{RiemannHypothesisVeenCraats,
author = {van der Veen, Roland and van de Craats, Jan},
publisher = {MAA},
date = {2015},
title = {The Riemann Hypothesis},
}
@book{watkins2013number,
author = {Watkins, John J},
publisher = {Princeton University Press},
date = {2013},
title = {Number theory: A historical approach},
}
@book{mezei2015introduction,
author = {Mezei, Razvan A},
publisher = {John Wiley \& Sons},
date = {2015},
title = {An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods},
}
@article{10.4169/math.mag.89.1.3,
abstract = {In this paper we define ``confused electrician games,'' which generalize ``Lights Out,'' a game popular in mathematical literature. In addition to ``Lights Out,'' many more recent computer game puzzles can be modeled as confused electrician games. We provide examples of this, and explain how to solve such games using the Smith normal form of a matrix. We note that in many cases, this method is very efficient compared to another, more obvious, method.},
author = {Edgar, Tom and Sklar, Jessica K.},
publisher = {Mathematical Association of America},
date = {2016},
issn = {0025570X, 19300980},
journaltitle = {Mathematics Magazine},
number = {1},
pages = {3--13},
title = {A Confused Electrician Uses Smith Normal Form},
volume = {89},
}
@article{10.4169/math.mag.90.2.126,
abstract = {Lights Out is a game played on a grid of light-up buttons. At the start of the game, the lights are lit in a seemingly random configuration. A button changes states whenever it or one of its neighbors is pressed. The goal is to turn all of the lights out. Light chasing is a simple strategy for winning Lights Out by using a lookup table. In this article we examine how to construct these lookup tables for several variations of the game.},
author = {LEACH, C. DAVID},
publisher = {Mathematical Association of America},
date = {2017},
issn = {0025570X, 19300980},
journaltitle = {Mathematics Magazine},
number = {2},
pages = {126--133},
title = {Chasing the Lights in Lights Out},
volume = {90},
}
@article{Cremona2016,
author = {Cremona, John},
date = {2016},
doi = {10.1007/s10208-016-9306-z},
issn = {1615-3383},
journaltitle = {Foundations of Computational Mathematics},
pages = {1--13},
title = {The L-Functions and Modular Forms Database Project},
}
@article{DBLP:journals/corr/DehayeKKLPT16,
author = {Dehaye, Paul-Olivier and Kohlhase, Michael and Konovalov, Alexander and Lelièvre, Samuel and Pfeiffer, Markus and Thiéry, Nicolas M.},
crossref = {CICM16},
date = {2016},
journaltitle = {CoRR},
title = {Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach},
volume = {abs/1603.06424},
}
@inproceedings{CICM16,
author = {Kohlhase, Michael and Johansson, Moa and Miller, Bruce and de Moura, Leonardo and Tompa, Frank},
publisher = {Springer},
booktitle = {{Intelligent Computer Mathematics} 2016},
date = {2016},
eventdate = {2016-07-25/2015-07-29},
eventtitle = {Conferences on Intelligent Computer Mathematics},
isbn = {978-3-319-20615-8},
keywords = {conference},
label = {CICM16},
number = {9791},
series = {LNAI},
title = {Intelligent Computer Mathematics},
venue = {Bialystok, Poland},
}
@article{Tabrizi20167,
author = {Tabrizi, Mehdi},
date = {2016},
doi = {http://dx.doi.org/10.1016/j.radphyschem.2016.05.018},
issn = {0969-806X},
journaltitle = {Radiation Physics and Chemistry},
keywords = {Linewidth},
pages = {7--12},
title = {Influence of multiple scattering of relativistic electrons on the linewidth of Parametric X-ray Radiation produced in the extremely Bragg geometry in the absence of photoabsorption},
volume = {127},
}
@book{calculoCientifico2016,
author = {Aceña, Dr. Andrés and Armijos, Dr. Jairo and Llerena, Fis. Mario},
publisher = {Observatorio Astronómico de Quito-Escuela Politécnica Nacional},
date = {2016},
note = {https://oaq.epn.edu.ec/documentos/ManualSageMathOAQ.pdf},
title = {Manual de Cálculo científico en SageMath},
}
@article{KalvodaStarosta2015,
author = {Kalvoda, Tomáš and Starosta, Štěpán},
language = {cze},
publisher = {Jednota českých matematiků a fyziků},
date = {2015},
journaltitle = {Pokroky matematiky, fyziky a astronomie},
number = {4},
pages = {300--313},
title = {Počítáme otevřeně se SageMath},
volume = {60},
}
@thesis{Kertels2016,
author = {Kertels, Fabian},
institution = {Technische Universität Darmstadt},
date = {2016},
title = {Singular weight products on lattices with small discriminant},
type = {Master's Thesis},
}
@article{JGAA-349,
author = {{Bannister}, {Michael} J. and {Devanny}, {William} E. and {Eppstein}, {David} and {Goodrich}, {Michael} T.},
date = {2015},
doi = {10.7155/jgaa.00349},
journaltitle = {Journal of Graph Algorithms and Applications},
number = {2},
pages = {619--656},
title = {The Galois Complexity of Graph Drawing: Why Numerical Solutions are Ubiquitous for Force-Directed, Spectral, and Circle Packing Drawings},
volume = {19},
}
@inproceedings{BanDevEpp-GD-14,
author = {Bannister, Michael J. and Devanny, William E. and Eppstein, David and Goodrich, Michael T.},
location = {Berlin, Heidelberg},
publisher = {Springer-Verlag},
booktitle = {Proceedings of the 22nd International Symposium on Graph Drawing (GD'14)},
date = {2014},
eprint = {1408.1422},
pages = {149--161},
title = {{The Galois complexity of graph drawing}},
}
@inproceedings{7465262,
author = {Buchin, Kevin and Creemers, Daan and Lazzarotto, Andrea and Speckmann, Bettina and Wulms, Jules},
booktitle = {2016 IEEE Pacific Visualization Symposium (PacificVis)},
date = {2016-04},
doi = {10.1109/PACIFICVIS.2016.7465262},
keywords = {data visualisation;geography;greedy algorithms;text analysis;geo word clouds;geographic regions;greedy strategy;spatial relevance;text-based data sets;text-based visualization;Data visualization;Electronic mail;Flickr;Labeling;Shape;Spatial databases;Tag clouds;I.3.3 [Computer Graphics]: Picture/Image Generation},
note = {http://lazza.dk/wp-content/uploads/2016/07/GeoWordClouds2016.pdf},
pages = {144--151},
title = {Geo word clouds},
}
@article{DBLP:journals/corr/AbrahamsenAM17,
author = {Abrahamsen, Mikkel and Adamaszek, Anna and Miltzow, Tillmann},
date = {2017},
journaltitle = {CoRR},
title = {Irrational Guards are Sometimes Needed},
volume = {abs/1701.05475},
}
@article{2017arXiv170310937W,
author = {{Wang}, Q.-R. and {Gu}, Z.-C.},
date = {2017-03},
eprint = {1703.10937},
eprintclass = {cond-mat.str-el},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Condensed Matter - Strongly Correlated Electrons,High Energy Physics - Theory,Mathematical Physics},
title = {{Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory}},
}
@article{Gazestani2017,
author = {Gazestani, Vahid H. and Hampton, Marshall and Shaw, Aubie K. and Salavati, Reza and Zimmer, Sara L.},
date = {2017},
doi = {https://doi.org/10.1016/j.ijpara.2017.08.012},
issn = {0020-7519},
journaltitle = {International Journal for Parasitology},
keywords = {Hidden Markov modelling},
title = {Tail characteristics of Trypanosoma brucei mitochondrial transcripts are developmentally altered in a transcript-specific manner},
}
@article{vsamec2018increasing,
author = {Šamec, Elizabeta and Fresl, Krešimir and Baniček, Maja},
publisher = {Hrvatski savez građevinskih inženjera},
date = {2017},
doi = {10.14256/JCE.2132.2017},
journaltitle = {Građevinar},
number = {12.},
pages = {1075--1084},
title = {Increasing efficiency of iterative application of the force density method},
volume = {69},
}
@article{2018arXiv180400208B,
author = {{Beck}, M. and {Leon}, E.},
date = {2018-03},
eprint = {1804.00208},
eprintclass = {math.CO},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Combinatorics,05C31,05A15,05C15,05C21,06A11,52B20},
title = {{Binomial inequalities of Chromatic, Flow, and Ehrhart Polynomials}},
}
@book{BeckSanyal2018,
author = {Beck, Matthias and Sanyal, Raman},
publisher = {American Mathematical Society},
date = {2018},
isbn = {978-1-4704-2200-4},
note = {https://www.springer.com/engineering/computational+intelligence+and+complexity/book/978-3-319-01966-6},
series = {Graduate Studies in Mathematics},
title = {Combinatorial reciprocity theorems},
volume = {195},
}
@book{garfinkel2017modeling,
author = {Garfinkel, Alan and Shevtsov, Jane and Guo, Yina},
publisher = {Springer},
date = {2017},
title = {Modeling Life: The Mathematics of Biological Systems},
}
@book{taillet2017optique,
author = {Taillet, Richard},
publisher = {De Boeck Superieur},
date = {2017},
title = {Optique géométrique},
}
@article{kapcak2018,
author = {Kapçak, Sinan},
date = {2018},
journaltitle = {The Electronic Journal of Mathematics & Technology},
number = {2},
pages = {292--308},
title = {Discrete Dynamical Systems with SageMath},
volume = {12},
}
@article{2018arXiv180510709C,
author = {{Chan}, S. and {Hanselman}, J. and {Li}, W.},
date = {2018-05},
eprint = {1805.10709},
eprintclass = {math.NT},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Number Theory},
title = {Ranks, $2$-Selmer groups, and Tamagawa numbers of elliptic curves with $\mathbb Z / 2\mathbb Z \times \mathbb Z / 8\mathbb Z$-torsion},
}
@article{2017arXiv170404175A,
author = {{Angella}, D.},
date = {2017-04},
eprint = {1704.04175},
eprintclass = {math.DG},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Differential Geometry,68W30,53A30,32C35,57T15,32Q99},
title = {{SageMath experiments in Differential and Complex Geometry}},
}
@article{10.4169/college.math.j.48.2.90,
abstract = {We visually investigate Viète's method for funding for the roots of the depressed cubic equation using transformations and complex plots from Sage to consider the three cases.},
author = {Edgar, Tom and Meyer, N. Chris},
publisher = {Mathematical Association of America},
date = {2017},
issn = {07468342, 19311346},
journaltitle = {The College Mathematics Journal},
number = {2},
pages = {90--96},
title = {A Visual Validation of Viète's Verification},
volume = {48},
}
@article{Harrington2017,
abstract = {We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic and is implemented in symbolic software such as MAPLE or SageMath. In other cases, the reduction cannot be performed strictly in terms of differential operators, and one obtains integro-differential operators, which may still be useful. In either case, one can use the reduced equation to both approximate solutions for the state variables and perform chaos diagnostics more efficiently than could be done for the original higher-dimensional system, as well as to construct Lyapunov functions which help in the large-time study of the state variables. A number of chaotic and hyperchaotic dynamical systems are used as examples in order to motivate the approach.},
author = {Harrington, Heather A. and Van Gorder, Robert A.},
date = {2017},
doi = {10.1007/s11071-016-3272-5},
issn = {1573-269X},
journaltitle = {Nonlinear Dynamics},
number = {1},
pages = {715--734},
title = {Reduction of dimension for nonlinear dynamical systems},
volume = {88},
}
@article{Roberto2016,
author = {Roberto, Roson},
date = {2016-09},
journaltitle = {University Ca' Foscari of Venice, Dept. of Economics Research Paper Series},
number = {23},
title = {PAMS.py: A GAMS-Like Modeling System Based on Python and SAGE},
}
@book{HarrisPeering2017,
author = {Harris, John and Kohl, Karen and Perry, John},
publisher = {Lulu},
date = {2017-11},
note = {Draft number 13},
title = {Peering into Advanced Mathematics through Sage-colored Glasses},
}
@article{NazariehIdentification2016,
author = {Nazarieh, Maryam and Wiese, Andreas and Will, Thorsten and Hamed, Mohamed and Helms, Volkhard},
date = {2016-07},
journaltitle = {BMC Systems Biology},
title = {Identification of key player genes in gene regulatory networks},
volume = {10},
}
@unpublished{McKayConcreteAlg2018,
author = {McKay, Ben},
date = {2018},
note = {https://github.com/Ben-McKay/concrete-algebra},
title = {Concrete Algebra},
}
@thesis{Ziegler2015,
author = {Ziegler, Konstantin},
institution = {Rheinische Friedrich-Willhelms-Universität Bonn},
location = {Bonn, Germany},
date = {2015-04},
note = {http://hss.ulb.uni-bonn.de/2015/3981/3981.pdf},
title = {Counting classes of special polynomials},
type = {Dissertation},
}
@article{benito2012sage,
author = {Benito, Pilar and de-la-Concepción, Daniel and others},
publisher = {Tbilisi Centre for Mathematical Sciences},
date = {2012},
journaltitle = {Tbilisi Mathematical Journal},
note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_1.pdf},
number = {2},
pages = {3--16},
title = {{Sage computations of ${\mathfrak sl}_2 (k)$-Levi extensions}},
volume = {5},
}
@article{celerier2012walsh,
author = {Celerier, Charles and Joyner, David and Melles, Caroline and Phillips, David and others},
publisher = {Tbilisi Centre for Mathematical Sciences},
date = {2012},
journaltitle = {Tbilisi Mathematical Journal},
note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_2.pdf},
number = {2},
pages = {19--35},
title = {On the Walsh-Hadamard transform of monotone Boolean functions},
volume = {5},
}
@article{cruz2012exercise,
author = {Cruz, Pedro and Oliveira, Paula and Seabra, Dina and others},
publisher = {Tbilisi Centre for Mathematical Sciences},
date = {2012},
journaltitle = {Tbilisi Mathematical Journal},
note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_3.pdf},
number = {2},
pages = {37--44},
title = {Exercise templates with Sage},
volume = {5},
}
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