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combinatorial    
组合的

组合的

combinatorial
adj 1: relating to or involving combinations [synonym:
{combinative}, {combinatory}, {combinatorial}]
2: relating to the combination and arrangement of elements in
sets


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  • What is combinatorics? - Mathematics Stack Exchange
    Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and
  • Book on combinatorial identities - Mathematics Stack Exchange
    The book Combinatorial Identities from John Riordan ($1968$) is a wonderful classic with thousands of binomial identities which are systematically organised But it does not typically provide combinatorial proofs It's a great reference to search for different classes of combinatorial identities
  • combinatorics - What is a combinatorial proof exactly? - Mathematics . . .
    The other answers also talk about other ways to prove using Combinatorial Arguments Combinatorics is a wide branch in Math, and a proof based on Combinatorial arguments can use many various tools, such as Bijection, Double Counting, Block Walking, et cetera, so a combinatorial proof may involve any (or a combination) of these $\endgroup$
  • Newest combinatorial-proofs Questions - Mathematics Stack Exchange
    Combinatorial proofs of identities use double counting and combinatorial characterizations of binomial
  • combinatorics - Combinatorial proof of $\sum_{k=1}^n k k!=(n+1)!-1 . . .
    Combinatorial Proof regarding Falling Factorials and sums of Falling Factorials Hot Network Questions Textra: getting rid of ancient, unwanted messages which Textra refuses to delete?
  • What is the connection between Combinatorial Game Theory and Game . . .
    Whether "Combinatorial Game Theory" (CGT) is considered a branch of "Game Theory" (GT) depends on who you ask which book you check But even though a few books on GT might claim that CGT is part of the umbrella of GT, or might rarely cover a strategy for a simple combinatorial game, the fact of the matter is that the material covered in the two
  • combinatorics - A comprehensive list of binomial identities . . .
    In general, Gould's work is a great resource for this sort of thing; he has spent much of his career collecting and proving combinatorial identities Added: Another useful reference is John Riordan's Combinatorial Identities It's hard to pick one of its 250 pages at random and not find at least one binomial coefficient identity there
  • Permutations vs. Combinatorial vs. Factorials vs. Exponents
    I'm currently working on a probability course, and I am constantly having trouble figuring out when to use permutations vs combinations vs factorials vs exponents in order to calculate sample si
  • Books in Combinatorial optimization - Mathematics Stack Exchange
    I believe combinatorial optimization is the natural way to go from Hall and König Extremal graph theory mostly restricts itself to graphs (rather than decorated graphs, matroids, jump systems and all the other fancy objects combinatorial optimization is occupied with), about which it asks deeper questions





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