In this paper, we analyze tactical conflicts between attacking formations and blocking formations in the phase of reception attack in volleyball, using a zerosum game model. In this model, we categorize the attacking formations into 9 patterns which consist of 3 moving patterns of forward players and 3 positions (right, center and left) from which the ball can be spiked. We also categorize the ...

This Account outlines the recent efforts of developing catalysis under the ambient conditions of air and water for synthetic purposes from the author's laboratory. The discussions are focused on catalytic reactions (mostly C-C bond formations) other than oxidations via late transition metals. It includes the following aspects: (1) copper-catalyzed C-C bond formations; (2) palladium-catalyzed C-...

Given a pair of keyframe formations for a group consisting of multiple individuals, we present a spectral-based approach to smoothly transforming a source group formation into a target formation while respecting the clusters of the involved individuals. The proposed method provides an effective means for controlling the macroscopic spatiotemporal arrangement of individuals for applications such...

In this paper, a framework for maintaining formations of large number of mobile autonomous vehicles based on rigidity is proposed. The aim of this paper is to explore strategies for maintaining formations with more limited communication/sensing requirements. An inductive construction method for provably rigid formations is proposed, and a method for optimum angle measures between vehicles is de...

In this paper, a framework for maintaining formations of large number of mobile autonomous vehicles based on rigidity is proposed. The aim of this paper is to explore strategies for maintaining formations with more limited communication/sensing requirements. An inductive construction method for provably rigid formations is proposed, and a method for optimum angle measures between vehicles is de...

Groups of individuals often use formations as a means of providing orderly movement while distributing members in a manner that is advantageous to the group’s activities. A particular formation may offer a defensive advantage over moving individually, for example, exposing only some of the agents to the proximity of enemies, or might increase group abilities by allowing individuals to limit per...

Zhu, Guangwei Ph.D., Purdue University, May 2013. Quantitative Analysis of MultiAgent Formations: Theory and Applications. Major Professor: Jianghai Hu. In this thesis, formations of multi-agent systems, including multi-vehicle systems and sensor networks, are studied from a quantitative perspective. First, matrix and scalar valued quantities related to multi-agent system formations are propose...

We describe the two classes of languages recognized by the groups D4 and Q8, respectively. Then we show that the formations of languages generated by these two classes are the same. We also prove that these two formations are closed under inverses of morphisms, which yields a language theoretic proof of the fact that the group formations generated by D4 and Q8, respectively, are two equal varie...