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8. Contemporary Topics in Computer Graphics and Games : Selected Papers From the Eurasia Graphics Conference Series

Author

Veysi Isler, Hasmet Gürçay, Hasan Kemal Süher, Güven Çatak, Veysi Isler, Hasmet Gürçay, Hasan Kemal Süher, and Güven Çatak

Subjects
Video games--Congresses, Computer graphics--Congresses
Abstract

This book provides an introduction and overview of the rapidly evolving topics of computer graphics and games, presenting the new perspectives employed by researchers and the industry, highlighting the recent empirical findings. Bringing selected papers from the Eurasia Graphics conference series together, the book aims to discuss issues, solutions, challenges, and needs for a better understanding of computer graphics and games. The Games and Simulation section of this book covers the topics of game user experience, game narrative, playability heuristics, human computer interaction and various computer simulations. The Computer Graphics section deals with 3D modelling, procedural content generation, visualization, and interaction techniques.

Published
2019

9. On the Noncommutative Neutrix Product of Distributions

Author

Emin Özçaḡ, İnci Ege, Haşmet Gürçay, and Biljana Jolevska-Tuneska

Subjects
Mathematics, QA1-939
Abstract

Let f and g be distributions and let gn=(g*δn)(x), where δn(x) is a certain sequence converging to the Dirac-delta function δ(x). The noncommutative neutrix product f∘g of f and g is defined to be the neutrix limit of the sequence {fgn}, provided the limit h exists in the sense that N‐limn→∞〈f(x)gn(x),φ(x)〉=〈h(x),φ(x)〉, for all test functions in 𝒟. In this paper, using the concept of the neutrix limit due to van der Corput (1960), the noncommutative neutrix products x+rlnx+∘x−−r−1lnx− and x−−r−1lnx−∘x+rlnx+ are proved to exist and are evaluated for r=1,2,…. It is consequently seen that these two products are in fact equal.

Published
2007
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