This paper describes linear cofactor relationships (LCRs), which are defined as the exclusive sums of cofactors with respect to a pair of variables in Boolean functions. These relationships subsume ...

This paper presents Haar transform of linear Boolean functions, where by the discussion is based on the transformation from the Boolean domain to the Haar domain. The resulting spectrum is given with ...

A function f is a Boolean automorphism if, and only if, it is a linear isometry. Proof: If f is a Boolean automorphism it means that for all u, v of and . Then, for the Boolean addition + such that, ...

Keywords: Boolean sum operator, multivariate function of bounded variation, interpolation problem, sparse grid, tensor product grid, hyperbolic cross. Citation: Prestin J and Semenova YV (2024) A ...