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category_mathematics [2007-06-08 16:50] – external edit 127.0.0.1category_mathematics [2021-06-12 11:52] – [Table Seatings] nik
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 ==== unsystematic ==== ==== unsystematic ====
 +
 +Universe ⊆ Complexity \\
 +Complexity ⊆ Math \\
 +Math ⊆ Universe  
  
 an introduction to the mathematics of the infinite http://www.earlham.edu/~peters/writing/infinity.htm an introduction to the mathematics of the infinite http://www.earlham.edu/~peters/writing/infinity.htm
  
-nodes:+===nodes===
   * [[Surreal Numbers]]   * [[Surreal Numbers]]
   * [[Aleph One]]   * [[Aleph One]]
   * [[Game Theory]]   * [[Game Theory]]
   * [[Fluid Dynamics]]   * [[Fluid Dynamics]]
 +  * [[Mathematical Matter]]
   * [[MathWorld]]   * [[MathWorld]]
-  * geometry/topology ([[CategoryGeometry]]) +  * geometry/topology ([[Category Geometry]]) 
-    * [[TopologyNotes]], etc++    * [[Topology Notes]], etc+
     * [[Orbifolds]]     * [[Orbifolds]]
     * [[Hyperbolic Geometry]]     * [[Hyperbolic Geometry]]
-    * [[KnotPlot]] / [[PinchedKnot]]+    * [[KnotPlot]] / [[Pinched Knot]]
     * [[Geometry Notes]]     * [[Geometry Notes]]
   * [[Number System]](s)   * [[Number System]](s)
   * [[Al Jabr]]   * [[Al Jabr]]
   
-general+===general===
   * an atlas, with dots > http://www.math-atlas.org/   * an atlas, with dots > http://www.math-atlas.org/
   
-notes (to be absorbed...)+===notes (to be absorbed...)===
   * vedic http://nilesh.org/weblog/2002/10/19/from_the_vedic_perspective.nc#000256   * vedic http://nilesh.org/weblog/2002/10/19/from_the_vedic_perspective.nc#000256
   * http://www.leuschke.org/log/archives/week_2002_11_17.html#theres_been_a_f   * http://www.leuschke.org/log/archives/week_2002_11_17.html#theres_been_a_f
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   * the ethnomathematics on line library http://www.ethnomath.org/   * the ethnomathematics on line library http://www.ethnomath.org/
   
-textbooks+===textbooks===
   * "A Computational Introduction to Number Theory and Algebra" > http://shoup.net/ntb/   * "A Computational Introduction to Number Theory and Algebra" > http://shoup.net/ntb/
   * various online textbooks > http://www.math.gatech.edu/%7Ecain/textbooks/onlinebooks.html   * various online textbooks > http://www.math.gatech.edu/%7Ecain/textbooks/onlinebooks.html
 +
 +
 +
 +==== Table Seatings ====
 +
 +see [[table seating]]
 +
 +arranging a group into a number of tables so that everyone sits with everyone else.
 +
 +A strict version is an affine plane.
 +More generally we want a resolvable 2-design. Resovable is the parallelism. Maybe there is something like discrete hyperbolic geometry to deal with this, but we seem to have better combinatorial ideas below.
 +https://en.wikipedia.org/wiki/Block_design#Resolvable_2-designs
 +
 +Strict versions include Kirkman's Schoolgitl Problem, 15 children walk in groups of 3, can they do this so that all pairs of girls walk together exactly once over a whole week.
 +https://en.wikipedia.org/wiki/Kirkman%27s_schoolgirl_problem
 +https://oeis.org/search?q=schoolgirl&sort=&language=german&go=Suche
 +
 +In other cases we need to either allow people not to meet, or to meet more often.
 +
 +The Dagstuhl Happy Diner problem is the version where everyone meets at least once.
 +https://github.com/fpvandoorn/Dagstuhl-tables
 +https://oeis.org/A318240
 +
 +Equitable Resolvable coverings seem also  to be a more strict form, where we try to allow people to meet at most twice.
 +https://www.researchgate.net/publication/227715273_Equitable_resolvable_coverings
 +https://onlinelibrary.wiley.com/doi/epdf/10.1002/jcd.10024?saml_referrer
 +
 +If we have people sitting at round tables and only interacting with their neighbours, then we have the Oberwolfach Problem:
 +https://en.wikipedia.org/wiki/Oberwolfach_problem
 +
 +
 +
  • category_mathematics.txt
  • Last modified: 2021-06-12 12:14
  • by nik