1 citations · 1 across the 9 of their papers we have counts for
9 papers
Defining the Mean of a Real-Valued Function on an Arbitrary Metric Space
Kerry Michael Soileau
We show how a metric space induces a linear functional (a "mean") on real-valued functions with domains in that metric space. This immediately induces a "relative" measure on a col…
Nash bargaining with a nondeterministic threat
Kerry Michael Soileau
We consider bargaining problems which involve two participants, with a nonempty closed, bounded convex bargaining set of points in the real plane representing all realizable bargai…
A general learning algorithm for functions between metric spaces
Kerry M. Soileau
In this paper we show how to approximate ("learn") a function f, where X and Y are metric spaces.
A parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1
Kerry M. Soileau
Note that the family of closed curves C_N={(x,y)\in R^2;x^(2N)+y^(2N)=1} for N=1,2,3,... approaches the boundary of [-1,1]^2 as N \to \infty. In this paper we exhibit a natural par…
The Maximal Integral Domain Generated By A Commutative Ring
Kerry M. Soileau
In this paper, we exhibit the creation of the maximal integral domain mid(R) generated by a nonzero commutative ring R.
The General Form Of Cyclic Orthonormal Generators In R^N
Kerry M. Soileau
In this paper we give a definition of cyclic orthonormal generators (cogs) in R^N. We give a general canonical form for their expression. Further, we give an explicit formula for c…