8 citations · 9 across the 5 of their papers we have counts for
5 papers
Properties of distance spaces with power triangle inequalities
Daniel J. Greenhoe
Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the triangle inequality. However, there are sev…
Partition of unity systems and B-splines
Daniel J. Greenhoe
This paper presents the basic principles of partition of unity systems and B-splines. Analysis of these systems is performed using Fourier analysis, multi-resolution analysis, and…
Properties and applications of transversal operators
Daniel J. Greenhoe
This paper presents some properties and applications of "transversal operators". Two transversal operators are presented: a "translation" operator T and a "dilation" operator D. Su…
MRA-Wavelet subspace architecture for logic, probability, and symbolic sequence processing
Daniel J. Greenhoe
The linear subspaces of a multiresolution analysis (MRA) and the linear subspaces of the wavelet analysis induced by the MRA, together with the set inclusion relation, form a very…
Boolean and ortho fuzzy subset logics
Daniel J. Greenhoe
Constructing a fuzzy subset logic L with Boolean properties is notoriously difficult because under a handful of "reasonable" conditions, we have the following three debilitating co…