Continuous piecewise-linear functions from n m IR to IR are analyzed in terms of the dimension of their domain space and of degenerate k-th order intersections of region boundaries. The theory developed demonstrates how these two quantities are connected. Moreover, the exact number of independent parameters will be demonstrated for boundary configurations containing degenerate intersections of arbitrary orders.
Title
The Complete Canonical Piecewise-Linear Representation I. The Geometry of the Domain Space
Published
April, 1990
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
ERL-90-26
Type
Text
Extent
42 p
Archive
The Engineering Library
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