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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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  • Combinatorial Argument - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • 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 $\endgroup$
  • Why algebraic topology is also called combinatorial topology?
    But "combinatorial topology" in its former sense still very much exists An it's not going to go away To programme topology into a computer for example, you need an explicit triangulation, and the work is all combinatorial and PL See for example Matveev's Algorithmic topology and classification of 3-manifolds The constructivist argument
  • 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
  • reference request - What is combinatorial homotopy theory . . .
    A relation of the word "combinatorial" to simplicial sets, and so another line on how the word might be interpreted, was given in the paper Kan, Daniel M A combinatorial definition of homotopy groups Ann of Math (2) 67 1958 282–312
  • Newest combinatorial-proofs Questions - Mathematics Stack Exchange
    Combinatorial proofs of identities use double counting and combinatorial characterizations of binomial
  • Combinatorial interpretation of sum of squares, cubes
    Here's a combinatorial proof for $$\sum_{k=1}^n k^2 = \binom{n+1}{2} + 2 \binom{n+1}{3},$$ which is just another way of expressing the sum Both sides count the number of ordered triples $(i,j,k)$ with $0 \leq i,j < k \leq n$
  • 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
  • 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





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