A Curious Bijection on Natural NumbersTifr, Hbcse
A provably correct bijection between higher-order abstract syntax (HOAS) and the natural numbers enables one to define a ``not equals'' relationship between terms and also to have an adequate encoding of sets of terms, and maps from one term family to another. Sets and maps are useful in ...
I Is √9x a Bijection from N to R? Let f : N −→ R and f(x) = √ 9x The domain is all natural numbers: {0, 1, 2, 3, ...} The codomain is all real numbers. The range i believe is [0, +infinity) I believe that although the above is a function since every input ...
We also remark that the article [2] gives a bijection between fixed-point free involutions of a set of size 2n and certain sets of tuples of non-intersecting walks on the natural numbers arising in statistical mechanics (the random-turns model of vicious random walkers). 430 J Algebr Comb...
We are ready to state our main bijective theorem. Theorem 1.4 Let S be a surface, and n•,n∘,n1,n2,⋯ be integers with finite sum. There is an explicit bijection Φℓ between bipartite pointed maps of S with and well-blossoming maps of S with Moreover, Φl(m) is well-root...
Kiming, I.: On the existence ofp¯-core partitions of natural numbers. Q. J. Math.48, 59–66 (1997) Macdonald, I.G.: Symmetric Functions and Hall Polynomials. Clarendon Press, Oxford (1979) MATHGoogle Scholar Download references
A natural question arises of a bijective proof for this formula [14]. The problem is to define a correspondence between spanning trees and orientations, preserving parameters (i,j), called activities in the literature, and compatible with the above formula. More precisely, the desired ...
A New Bijection between Natural Numbers and Rooted TreesPeter Cappello