Finite Markov Chains - classes.cs.uchicago.edu
... Random recoloring: a class of large Markov chains. Let G = (V, E) be a graph with n vertices and maximum degree ∆; and let Q ≥ ∆ + 1. Let S be the set of all legal colorings of G with Q colors, i. e., S is the set of functions f : V → [Q] such that if v, w ∈ V are adjacent then f (v) 6= f (w). This ...
... Random recoloring: a class of large Markov chains. Let G = (V, E) be a graph with n vertices and maximum degree ∆; and let Q ≥ ∆ + 1. Let S be the set of all legal colorings of G with Q colors, i. e., S is the set of functions f : V → [Q] such that if v, w ∈ V are adjacent then f (v) 6= f (w). This ...
Reciprocal Cost Allocations for Many Support Departments Using
... Matrix Relationship for Reciprocated Costs The matrix relationship |S| x |X| = |K| is presented as Equation 2 for the set of five simultaneous Equations 1a, 1b, 1c, 1d and 1e. For example, Equation 1a is equivalent to multiplying the first row of the |S| matrix with the first and only column of the ...
... Matrix Relationship for Reciprocated Costs The matrix relationship |S| x |X| = |K| is presented as Equation 2 for the set of five simultaneous Equations 1a, 1b, 1c, 1d and 1e. For example, Equation 1a is equivalent to multiplying the first row of the |S| matrix with the first and only column of the ...
Isometries of figures in Euclidean spaces
... triangles, parallelograms, circles, ...). Intuitively, the idea is that two figures should be congruent if there is a rigid motion that sends one to the other. However, this requires a reasonable definition of rigid motion, which is somewhat beyond the scope of an elementary course. One can attempt ...
... triangles, parallelograms, circles, ...). Intuitively, the idea is that two figures should be congruent if there is a rigid motion that sends one to the other. However, this requires a reasonable definition of rigid motion, which is somewhat beyond the scope of an elementary course. One can attempt ...
Hamming scheme H(d, n) Let d, n ∈ N and Σ = {0,1,...,n − 1}. The
... Johnson Scheme J (n, d) Let d, n ∈ N, d ≤ n and X a set with n elements. The vertex set of the association scheme J(n, d) are all d-subsets of X. Vertices x and y are in i-th 0 ≤ i ≤ min{d, n − d}, relation iff their intersection has d − i elements. We obtain an association scheme with min{d, n − d} ...
... Johnson Scheme J (n, d) Let d, n ∈ N, d ≤ n and X a set with n elements. The vertex set of the association scheme J(n, d) are all d-subsets of X. Vertices x and y are in i-th 0 ≤ i ≤ min{d, n − d}, relation iff their intersection has d − i elements. We obtain an association scheme with min{d, n − d} ...
