Aspects of Z Order

by Kathleen McCoy  |   

Dr. Kirk Scott, associate professor of computer science in UAA's Department of Mathematics, will present a seminar on Friday, November 16 at noon in the UAA/APU Consortium Library, room 307. Scott's lecture is titled "Aspects of Z Order." The Z order has been found useful in data analysis. This event is free and open to the public. Complimentary parking is also available.


In this talk the mapping will be defined as a mathematical function and generalized to the n-dimensional case. Such a functional definition makes it possible to update a Z order set of an arbitrary number of dimensions one point at a time. It also makes it possible to find the distance between points in Z order, or given a point, find other points a given distance from it. Z order can also be extended to the negative integers. It may also be desirable to update more than one point of a data set at a time. If data arrive in a stream, analysis is usually restricted to a fixed window of the most recent data points. A mathematical understanding of Z order makes it possible to devise algorithms to update a data set one hyperplane at a time.


Kirk Scott earned a Ph.D. in computer science from North Dakota State University (NDSU) in 1992, with database management systems as his area of specialization. He was employed as an assistant professor of computer science and information systems at the College of St. Scholastica from 1992 to 1998. During the 1998-99 school year he was a Fulbright scholar at the Karelian State Pedagogical University in Petrozavodsk, Russia. He was a visiting associate professor of computer science at NDSU during the 1999-2000 school year. He came to UAA as an assistant professor of computer science in the fall of 2000. During fall semester of 2002 he was a Fulbright scholar at Taraz State University in Taraz, Kazakhstan. His professional interests include database management systems, object-oriented programming, and computer and data security.

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