end{aligned} Let (iota: (j,k) mapsto i) be the lexicographically enumerating function.
It enumerates fundamental functions that a cell must perform, and then it describes, in whatever detail is appropriate, the specifics of how a cell achieves each function.
(B ) LTi cells were enumerated as a function of Peyer's patch area.
In a previous contribution, we exhaustively enumerated the genotype-phenotype (function) map of all 2 L = 2 = 16,777,216 possible circuit genotypes for all 2 N = 8 initial states of circuits with N = 3 genes, revealing a total of 32,399 unique k-functions [ 35].
We can enumerate the Boolean functions with K inputs using the mapping b o = ∑ a = 0 2 K − 1 o a 2 a − 1.
Informally, the idea behind these terms is that functions can be enumerated, and then their successive applications should form a sequence in which the indexes are "globally increasing".
So for instance s(2)(x) is the function that returns the successor of the successor of x; such a function enumerates all the even numbers since its values are 0,2,4,… The solution amounts to computing the sixth term of a geometrical progression with first term 1 and multiplier 7, i.e. ƒ(6)(7), with ƒ(x) = 7x.
Its pleiotropic functions are still being enumerated and include acting as a Th2 cell developmental determinant, a T/B cell growth factor, an IgE/IgG1 class-switch inducer and a muscle cell contraction inducer.
Our hash function enumerates a subset of the sequence being hashed using 2 bits per color (the size of the subset is constrained by memory limitations on the hash table).
Loopless triangulations of a polygon with k vertices in k+2n triangles (with interior points and possibly multiple edges) were enumerated by Mullin in 1965, using generating functions and calculations with the quadratic method.
