Elementary Equations of Variant Measurement
Jeffrey Zheng · 2018
Abstract Four variant measures are used to represent combinatorial functions including binomial coefficients. These variant measures are based on two types of m-bit vectors. Type A corresponds to non-periodic boundary conditions, while Type B corresponds to periodic boundary conditions. For each type, groups containing the four variant measures are formed, which are invariant against permutative and associative operations. By mapping two group elements of Type B on coefficients of binomial decompositions, patterns similar to Pascal’s triangle are observed.