https://pinboard.in/u:Vaguery/public/ recent bookmarks from Vaguery 2026-05-24T16:19:14+00:00 https://arxiv.org/abs/2604.12392 Vaguery combinatorics enumeration polyominoes counting discrete-mathematics Catalan-numbers representation rather-interesting https://pinboard.in/ https://pinboard.in/u:Vaguery/b:e41074f25cbc/ 2025-07-25T14:51:38+00:00 https://arxiv.org/abs/2403.04777 Vaguery0. The proposed specifications provide a layered and linearized orientation of Collatz numbers organized in an infinite set of infinite binary trees. To the best of our knowledge, this is the first time that such a general specification is provided, which can have significant applications in analyzing and testing the behaviors of complex non-linear systems. We have implemented this method as a software tool that generates the Collatz numbers of individual stairs. We also show that starting from any value in any convergence stair the conjecture holds. However, to prove the conjecture, one has to show that every natural number will appear in some stair; i.e., the union of all stairs is equal to the set of natural numbers, which remains an open problem. ]]> Collatz-problem nonlinear-dynamics number-theory automata rather-interesting discrete-mathematics to-understand to-simulate consider:analgous-systems https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8bf9887d85ec/ 2022-07-24T12:30:43+00:00 https://arxiv.org/abs/1606.02982 Vaguery random-walks enumeration combinatorics rather-interesting OEIS generating-functions discrete-mathematics to-understand to-write-about consider:rediscovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:cdecdeb4cb27/ 2022-05-22T12:59:16+00:00 https://divisbyzero.com/2022/01/27/preorders-and-finite-topological-spaces/ Vaguery set-theory combinatorics rather-interesting enumeration explanation discrete-mathematics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:49ae06dc764a/ 2022-01-26T13:44:39+00:00 https://arxiv.org/abs/1810.02241 Vaguery diffy-Qs discrete-mathematics nonlinear-dynamics representation rather-interesting computational-complexity models-and-modes to-understand to-write-about consider:genetic-programming consider:approximation ReQ https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b5692977ee6e/ 2022-01-14T13:13:49+00:00 https://arxiv.org/abs/1805.03863 Vaguery combinatorics enumeration rather-interesting review discrete-mathematics feature-construction to-write-about consider:equivalences consider:group-theory https://pinboard.in/ https://pinboard.in/u:Vaguery/b:2c0d3c8e737c/ 2021-10-01T20:42:20+00:00 https://arxiv.org/abs/2107.10897 Vaguery computational-complexity algorithms discrete-mathematics rather-interesting permutations to-understand to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:2ea3990f786e/ 2021-06-07T10:52:32+00:00 https://arxiv.org/abs/1802.03482 Vaguery machine-learning heuristics approximation proxy-problems rather-interesting discrete-mathematics to-write-about consider:visualization consider:feature-discovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d91e1255bca1/ 2021-06-05T12:10:19+00:00 https://arxiv.org/abs/1606.09596 Vaguery optimization multiobjective-optimization rather-interesting discrete-mathematics to-simulate to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:2a73503a31ef/ 2021-05-28T17:36:01+00:00 https://arxiv.org/abs/1902.10752 Vaguery chemistry periodic-table discrete-mathematics rather-interesting looking-to-see formalization graph-theory hypergraphs order-relationships https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d75298a8d136/ 2020-05-05T22:20:31+00:00 https://arxiv.org/abs/1708.04773 Vaguery graph-layout graph-theory feature-construction rather-interesting combinatorics discrete-mathematics to-simulate to-write-about consider:classification https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d8065461d0a2/ 2020-05-02T12:22:54+00:00 https://arxiv.org/abs/1904.04791 Vaguery discrete-mathematics feature-construction rather-interesting proof to-simulate to-write-about consider:where-it-appears-in-GP https://pinboard.in/ https://pinboard.in/u:Vaguery/b:581de4ed373c/ 2020-05-02T11:23:45+00:00 https://arxiv.org/abs/1907.00272 Vaguery graph-theory graph-recognition classification algorithms rather-interesting discrete-mathematics to-simulate to-write-about consider:classification https://pinboard.in/ https://pinboard.in/u:Vaguery/b:328d3dc6eaf0/ 2019-12-29T10:40:43+00:00 https://arxiv.org/abs/1905.13216 Vaguery tiling domino-tiling discrete-mathematics combinatorics rather-interesting stochastic-systems to-simulate to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fa860d758083/ 2019-12-29T10:40:00+00:00 https://dmtcs.episciences.org/2293 Vaguery tiling hey-I-know-this-guy discrete-mathematics combinatorics generalization domino-tiling rather-interesting to-simulate to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:805a2c4985f6/ 2019-09-07T22:25:16+00:00 https://arxiv.org/abs/0810.5750 Vaguery inverse-problems spectra tiling rather-interesting discrete-mathematics combinatorics feature-extraction to-understand to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:93a9ecae96a3/ 2019-06-27T10:57:14+00:00 https://ieeexplore.ieee.org/abstract/document/5763326 Vaguery genetic-programming Cartesian-GP boolean-networks boolean-matching discrete-mathematics rather-interesting algorithms to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:79ad77ac6b0a/ 2019-04-17T10:49:17+00:00 https://arxiv.org/abs/1810.07800 Vaguery discrete-mathematics optimization alignments combinatorics hey-I-know-this-guy bioinformatics rather-interesting formalization to-write-about consider:multiobjective-optimization consider:fitness-landscapes question:transitivity https://pinboard.in/ https://pinboard.in/u:Vaguery/b:cdd8a5b8e59e/ 2019-04-15T11:02:08+00:00 https://arxiv.org/abs/1805.04055 Vaguery computational-complexity discrete-mathematics optimization rather-interesting meta-problems planning puzzles mathematical-recreations constraint-satisfaction https://pinboard.in/ https://pinboard.in/u:Vaguery/b:7ec3e0b501fe/ 2017-11-17T13:21:07+00:00 https://arxiv.org/abs/1504.08259 Vaguery formal-languages edit-distance metrics define-your-terms rather-interesting open-questions discrete-mathematics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:ac7e4fd03e37/ 2017-09-28T00:22:18+00:00 https://arxiv.org/abs/1611.01479 Vaguery strings compression algorithms rather-interesting to-write-about discrete-mathematics computational-complexity nudge-targets consider:rediscovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8345d8e06667/ 2017-09-28T00:19:45+00:00 https://arxiv.org/abs/1709.05314 Vaguery strings compression discrete-mathematics rather-interesting feature-construction to-write-about data-structures nudge-targets consider:looking-to-see combinatorics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:82fe4afe6e07/ 2017-09-20T11:57:46+00:00 https://arxiv.org/abs/1708.05255 Vaguery category-theory theoretical-biology genetics representation to-read to-write-about discrete-mathematics philosophy-of-science via:absfac https://pinboard.in/ https://pinboard.in/u:Vaguery/b:733f80bddafa/ 2017-04-22T12:24:04+00:00 https://arxiv.org/abs/1603.08269 Vaguery cellular-automata artificial-life discrete-mathematics rather-interesting to-write-about computational-complexity https://pinboard.in/ https://pinboard.in/u:Vaguery/b:312e3b2012a5/ 2017-04-22T10:12:59+00:00 http://search.arxiv.org:8081/paper.jsp?r=1501.02502&qid=1491475924245ler_nCnN_397128995&qs=%22magic+square%22&byDate=1 Vaguery combinatorics Latin-squares construction discrete-mathematics algorithms rather-interesting to-write nudge-targets consider:looking-to-see consider:performance-measures https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b6eda9f6b582/ 2017-04-19T14:02:29+00:00 https://arxiv.org/abs/1108.5574 Vaguery dynamical-systems discrete-mathematics rewriting-systems to-understand strings representation to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:33f85a6f5cca/ 2017-03-24T23:32:00+00:00 https://arxiv.org/abs/1109.4994 Vaguery hey-I-know-this-guy physics automata theoretical-physics complexology quantum discrete-mathematics philosophy-of-science representation https://pinboard.in/ https://pinboard.in/u:Vaguery/b:ea2f914506cd/ 2017-02-26T20:47:02+00:00 https://arxiv.org/abs/1702.00146 Vaguery computational-geometry discrete-mathematics rather-interesting heuristics nudge-targets consider:looking-to-see to-write-about consider:representation topology https://pinboard.in/ https://pinboard.in/u:Vaguery/b:9e80b852db93/ 2016-10-03T09:47:57+00:00 https://arxiv.org/abs/1606.02907 Vaguery random-walks discrete-mathematics probability-theory rather-interesting physics! nudge-targets consider:looking-to-see https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0be1e63430d7/ 2016-04-12T12:46:36+00:00 http://arxiv.org/abs/1504.07883 Vaguery tiling discrete-mathematics classification proof algorithms nudge-targets consider:rediscovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0d31ebc8a86a/ 2016-04-09T11:25:10+00:00 http://arxiv.org/abs/1312.4429 Vaguery discrete-mathematics computational-geometry rewriting-systems rather-interesting nudge-targets consider:rediscovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:7f2cd7a3ba09/ 2016-04-09T11:08:56+00:00 http://arxiv.org/abs/1603.07737 Vaguery graph-theory combinatorics discrete-mathematics algorithms nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:5988d50babae/ 2016-04-09T11:03:08+00:00 http://arxiv.org/abs/1511.00243 Vaguery mathematical-recreations discrete-mathematics planning optimization puzzles nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:160048c4c477/ 2016-04-04T13:17:15+00:00 http://arxiv.org/abs/1507.04538 Vaguery graph-theory discrete-mathematics algorithms representation rather-interesting nudge-targets consider:representation https://pinboard.in/ https://pinboard.in/u:Vaguery/b:dc0652ff48ff/ 2016-03-26T12:40:42+00:00 http://arxiv.org/abs/1603.07215 Vaguery cellular-automata discrete-mathematics feature-construction classification nudge-targets consider:rediscovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:f25b717fdd21/ 2016-03-15T12:11:44+00:00 http://arxiv.org/abs/1603.01382 Vaguery tiling discrete-mathematics combinatorics proof mathematical-recreations rather-interesting nudge-targets consider:checking-to-see https://pinboard.in/ https://pinboard.in/u:Vaguery/b:68c00161a46d/ 2016-03-07T00:12:59+00:00 http://arxiv.org/abs/1602.08084 Vaguery knot-theory visualization discrete-mathematics rather-interesting representation algorithms nudge-targets consider:representation https://pinboard.in/ https://pinboard.in/u:Vaguery/b:5e8d9e8dd50c/ 2015-11-11T12:10:10+00:00 http://arxiv.org/abs/1411.8002 Vaguery discrete-mathematics simulation probability-theory proof rather-interesting simple-models nudge-targets consider:looking-to-see consider:policies https://pinboard.in/ https://pinboard.in/u:Vaguery/b:3e5f9b17c721/ 2015-11-09T00:09:18+00:00 http://arxiv.org/abs/1510.01671 Vaguery rather-interesting cellular-automata discrete-mathematics dynamical-systems nudge-targets consider:rediscovery consider:performance-measures what-does-a-program-do? https://pinboard.in/ https://pinboard.in/u:Vaguery/b:a708ee068f46/ 2015-11-01T11:16:23+00:00 http://arxiv.org/abs/1507.02609 Vaguery graph-theory group-theory rather-interesting discrete-mathematics exploration mathematical-recreations nudge-targets consider:looking-to-see https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fc617c219712/ 2015-07-27T11:20:30+00:00 http://arxiv.org/abs/1405.6893 Vaguery graph-theory graph-coloring feature-construction rather-interesting discrete-mathematics nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:f9eec20b07c7/ 2015-06-27T14:22:13+00:00 http://arxiv.org/abs/1204.5224 Vaguery discrete-mathematics permutations algorithms pattern-discovery computational-complexity nudge-targets consider:representation approximation https://pinboard.in/ https://pinboard.in/u:Vaguery/b:cc7b834e00f0/ 2015-06-24T19:50:24+00:00 http://arxiv.org/abs/1405.3146 Vaguery polyominoes combinatorics counting rather-interesting discrete-mathematics nudge-targets consider:rediscovery feature-extraction feature-construction https://pinboard.in/ https://pinboard.in/u:Vaguery/b:7097df150abd/ 2015-05-25T12:08:02+00:00 http://arxiv.org/abs/1504.04498 Vaguery graph-theory algorithms rather-interesting discrete-mathematics nudge-targets consider:multiobjective-search performance-measure Winkler-project data-structures https://pinboard.in/ https://pinboard.in/u:Vaguery/b:6d877c09b763/ 2015-04-15T11:15:32+00:00 http://arxiv.org/abs/1501.03549 Vaguery tiling discrete-mathematics mechanics rather-interesting proofs computational-geometry nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:97706f07d52c/ 2015-04-14T11:03:55+00:00 http://arxiv.org/abs/1402.2818 Vaguery tiling computational-geometry probability-theory rather-interesting discrete-mathematics statistics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:4737318848c3/ 2015-01-19T11:28:50+00:00 http://arxiv.org/abs/1411.7355 Vaguery rather-interesting physics discrete-mathematics approximation representation philosophy-of-science modeling-is-not-mathematics nudge-targets consider:transitional-forms consider:tunable-forms https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b6b4ff6d3a65/ 2015-01-11T20:11:59+00:00 http://arxiv.org/abs/1403.0193 Vaguery cellular-automata Wolframism discrete-mathematics pattern-discovery define-your-terms not-quite-sure thesis https://pinboard.in/ https://pinboard.in/u:Vaguery/b:f8bb5ac3aafc/ 2015-01-11T13:28:09+00:00 http://arxiv.org/abs/1212.5951 Vaguery cellular-automata group-theory out-of-the-box rather-interesting wish-I-could-follow-it-better discrete-mathematics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:10d004d34524/ 2014-12-08T11:47:34+00:00 http://arxiv.org/abs/1302.6346 Vaguery boolean-networks Kauffmania automata complexology discrete-mathematics coupled-oscillators dynamical-systems theoretical-biology nudge-targets graph-theory proof consider:rediscovery https://pinboard.in/ https://pinboard.in/u:Vaguery/b:4c19be90e7f0/ 2014-12-03T09:30:33+00:00 http://arxiv.org/abs/1411.6672 Vaguery DNA-computing nanotechnology biological-engineering discrete-mathematics rather-interesting nudge-targets performance-measure side-effects the-mangle-in-practice https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fd7fbb095ed4/ 2014-11-27T01:23:05+00:00 http://arxiv.org/abs/1009.5912 Vaguery graph-theory discrete-mathematics proof conjecture nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:e1ba10025745/ 2014-11-07T11:36:58+00:00 http://arxiv.org/abs/1410.3096 Vaguery cellular-automata review wolframism discrete-mathematics consider:the-lilies-of-the-field consider:robustness consider:stepping-back-for-a-moment-please https://pinboard.in/ https://pinboard.in/u:Vaguery/b:2b08a8f460f9/ 2014-08-22T12:32:16+00:00 http://arxiv.org/abs/1212.1740 Vaguery pattern-formation prediction models complex-systems emergent-design nudge-targets rather-interesting discrete-mathematics dynamical-systems https://pinboard.in/ https://pinboard.in/u:Vaguery/b:882eaa11291b/ 2014-08-20T10:03:31+00:00 http://arxiv.org/abs/1403.1364 Vaguery computer-science classification discrete-mathematics nudge-targets algorithms feature-extraction interesting https://pinboard.in/ https://pinboard.in/u:Vaguery/b:c84099c752be/ 2013-11-03T12:29:05+00:00 http://arxiv.org/abs/1310.1166 Vaguery combinatorics graph-theory planning nudge-targets algorithms discrete-mathematics computational-geometry computational-complexity https://pinboard.in/ https://pinboard.in/u:Vaguery/b:41591329f9c9/ 2013-02-03T14:11:12+00:00 http://arxiv.org/abs/1210.7320 Vaguery combinatorics open-problems discrete-mathematics nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b8861b4ebd1c/ 2012-04-30T20:58:49+00:00 http://arxiv.org/abs/0812.4170 Vaguery pragmaticGP game-of-life cellular-automata optimization discrete-mathematics via:jj https://pinboard.in/ https://pinboard.in/u:Vaguery/b:029014ee4923/ 2012-03-24T10:47:42+00:00 http://en.wikipedia.org/wiki/Minterm Vaguery boolean-algebra discrete-mathematics algorithms canonical-form https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fca611155b1e/ 2012-03-15T01:23:52+00:00 http://arxiv.org/abs/1203.1900 Vaguery discrete-mathematics graph-theory network-theory agent-based nudge-targets probably-not-the-same-hannah-arendt https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0a2d326d23d8/ 2012-03-13T11:53:33+00:00 http://arxiv.org/abs/1203.1644 Vaguery cellular-automata artificial-life discrete-mathematics emergence mathematical-recreations nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:2b2c2144f6f2/ 2012-01-05T13:51:17+00:00 http://arxiv.org/abs/1107.0056 Vaguery algorithms graph-theory discrete-mathematics nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:16b74dec9207/ 2011-10-10T12:02:25+00:00 http://arxiv.org/abs/0911.3482 Vaguery network-theory complexology complex-systems measurement perform structure-function-relations discrete-mathematics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0d5869bb40fc/ 2011-10-04T13:38:45+00:00 http://arxiv.org/abs/1109.0807 Vaguery Boolean-networks Kauffmania complexology discrete-mathematics mathematical-recreations nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d893c0c5de18/ 2011-06-08T11:33:41+00:00 http://www.multimagie.com/English/Enigmas.htm Vaguery mathematical-recreations puzzles discrete-mathematics contests nudge-targets https://pinboard.in/ https://pinboard.in/u:Vaguery/b:75fb4f28deb4/ 2010-08-17T12:33:37+00:00 http://arxiv.org/abs/1008.2555 Vaguery genomics bioinformatics discrete-mathematics algorithms nudge-targets inference data-driven https://pinboard.in/u:Vaguery/b:dcbad7d6488f/ 2010-06-02T12:22:46+00:00 http://arxiv.org/abs/1005.0103 Vaguery network-theory networks discrete-mathematics algorithms complexology metrics https://pinboard.in/u:Vaguery/b:414bb22c2823/ 2009-08-12T11:02:10+00:00 http://mindsports.nl/index.php/side-dishes/50-china-labyrinth?5ddadc0c884344 Vaguery mathematical games discrete-mathematics optimization Nudge https://pinboard.in/u:Vaguery/b:984cbef913dd/ 2009-08-12T11:00:49+00:00 http://www.recmath.com/PolyPages/ Vaguery tiling pattern pattern-discovery mathematics games puzzles combinatorics discrete-mathematics Nudge https://pinboard.in/u:Vaguery/b:2906b80d5ed6/ 2009-03-15T22:59:54+00:00 http://denseoutliers.blogspot.com/ Vaguery mathematics academia journals publishing open-access disintermediation discrete-mathematics https://pinboard.in/u:Vaguery/b:4915b507a0bb/