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  1. AMOF: The Amazing Mathematical Object Factory - Frank Ruskey
    Combinatorial objects are everywhere. How many ways are there to make change for $1 using unlimited numbers of coins of all denominations? Each way is a combinatorial object. AMOF is part encyclopedia and part calculator, a teaching tool that generates mathematical permutations for such combinatorial objects as subsets and combinations, partitions, magic squares, and Fibonacci sequences by allowing the user to define the parameters of discrete objects. The Object Factory returns a list of all objects that satisfy those parameters. The site can be used to learn more about many types of discrete mathematical structures; descriptions of objects progress in complexity for students at different levels. For more advanced materials, see the Combinatorial Object Server (COS). more>>

  2. Combinatorial Object Server (COS) - Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada
    Specify a type of combinatorial object, together with specific parameter values, and COS will return to you a list of 200 such objects. Generation pages: permutations, combinations, various types of trees, unlabelled graphs, linear extensions of posets, pentomino puzzle solutions, numerical partitions, and a host of other objects. This server is designed for researchers and educators; the corresponding version for K12 students and educators runs on Canada's SchoolNet, and is called The Amazing Mathematical Object Factory. more>>

  3. Combinatorics - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to combinatorics, loosely the science of counting, studying families of sets (usually finite) with certain characteristic arrangements of their elements or subsets, and asking what combinations are possible, and how many there are. This includes a number of quite elementary topics, such as enumerating all possible permutations or combinations of a finite set. Because of the approachable nature of the subject, combinatorics is often presented with other fields (elementary probability, elementary number theory, and so on) to the exclusion of the more significant aspects of the subject. These include more sophisticated methods of counting sets... History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

  4. Combinatorics (MathPages) - Kevin Brown
    About 40 "informal notes" by Kevin Brown on combinatorics: Dedekind's problem, cumulative permutation sequences, the factorial number system, Hardy and Ramanujan on partitions, solving magic squares, collecting k complete sets of coupons, and many more. more>>

  5. The Combinatorics Net and Annals Of Combinatorics - Bill Chen
    Links to combinatorics articles, groups, conference reports, seminars, journals, books, typesetting and graph drawing, software, preprints, open problems, research announcements, news and stories, and related sites. The Annals of Combinatorics publishes outstanding contributions to combinatorial mathematics in all its aspects. more>>


 

Mason error

error in file:   /usr/lib/perl5/5.6.0/Carp/Heavy.pm
 
line 79:  Bizarre copy of ARRAY in aassign
context:  
... 
75:  # them according to the format variables defined earlier in
76:  # this file and join them onto the $sub sub-routine string
77:  if ($hargs) {
78:  # we may trash some of the args so we take a copy
79:  @a = @DB::args; # must get local copy of args
80:  # don't print any more than $MaxArgNums
81:  if ($MaxArgNums and @a > $MaxArgNums) {
82:  # cap the length of $#a and set the last element to '...'
83:  $#a = $MaxArgNums;
... 
component stack:   /library/branch.html
/library/dhandler
code stack:   /usr/lib/perl5/5.6.0/Carp/Heavy.pm:79

debug info:   Debug file is '/var/lib/mason/debug/anon/9'.

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raw error:
 






























error while executing /library/branch.html:
Bizarre copy of ARRAY in aassign at /usr/lib/perl5/5.6.0/Carp/Heavy.pm line 79.