Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum distance to all the coordinate functions of affine monomials. In this paper we introduce a new class of bent functions which we call hyper-bent functions. Functions within this class achieve the maximal minimum distance to all the coordinate functions of all bijective mo...

We exhibit Cartwright-Curien-Felleisen’s model of observably sequential algorithms as a full subcategory of Laird’s bistable biorders, thereby reconciling two views of functions: functions-as-algorithms (or programs), and functions-as-relations. We then characterize affine sequential algorithms as affine bistable functions in the full subcategory of locally boolean orders.

in this paper, an observer based fuzzy adaptive controller (fac) is designed fora class of large scale systems with non-canonical non-affine nonlinear subsystems. it isassumed that functions of the subsystems and the interactions among subsystems areunknown. by constructing a new class of state observer for each follower, the proposedconsensus control method solves the problem of unmeasured sta...