Subsequences of Standard Special Circular Sequences in $\cal E^2_\rm T$

Yatsuka Nakamura

Shinshu University, Nagano

Roman Matuszewski

Warsaw University, Bialystok

This paper was written while the author visited Shinshu University in fall 1996.

Adam Grabowski

Warsaw University, Bialystok

This paper was written while the author visited Shinshu University in winter 1997.

Summary.

It is known that a standard special circular sequence in ${\cal E}^2_{\rm T}$ properly defines a special polygon. We are interested in a part of such a sequence. It is shown that if the first point and the last point of the subsequence are different, it becomes a special polygonal sequence. The concept of ``a part of" is introduced, and the subsequence having this property can be characterized by using ``mid" function. For such subsequences, the concepts of ``Upper" and ``Lower" parts are introduced.

MML Identifier: JORDAN4

Contents (PDF format)

1. Preliminaries
2. Some facts about cutting of finite sequences
3. Dividing of special circular sequences into parts

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