Computing Inside the Billiard Ball Model

2002 ◽  
pp. 135-160 ◽  
Author(s):  
Jérôme Durand-Lose
Keyword(s):  
1966 ◽  
Vol 12 (2) ◽  
pp. 46
Author(s):  
Reginald O. Kapp

Author(s):  
Billy Lamberta
Keyword(s):  

2000 ◽  
Vol 32 (2) ◽  
pp. 281-304 ◽  
Author(s):  
David W Edgington ◽  
Roger Hayter

This paper is a critical examination of the ‘flying geese’ and ‘billiard ball’ models of foreign direct investment (FDI) and their ability to explain the spatial expansion of Japanese electronics multinationals (MNCs) in Asia-Pacific countries from 1985 to 1996. Data on Japanese FDI are analyzed in this region at the aggregate, sectoral, and firm level. The paper commences with a review of the flying geese model, especially that version which interprets Japanese FDI as a catalyst for Asian development, and the billiard ball metaphor which suggests a mechanism for host countries to ‘catch up’ with Japan. The authors then turn to an analysis of Japanese FDI in Asia-Pacific together with employment data for fourteen major firms. This allows an evaluation of the two models in terms of recent geographical patterns of investment and employment growth by electronics MNCs. A special case study of Matsushita Electric Industrial Co. Ltd (MEI) helps flesh out the evolving geography of Japanese electronics firms in Asia-Pacific. Although the results support the overall patterns suggested by the two models, the authors argue that metaphors and analogies such as flying geese and billiard balls should not be used casually and as a substitute for analysis.


1982 ◽  
Vol 36 (2) ◽  
pp. 497-510 ◽  
Author(s):  
Stephen D. Krasner

Two distinct traditions have developed from structural realist perspectives. The first, the billiard ball version, focuses purely on interaction among states. The second, the tectonic plates version, focuses on the relationship between the distribution of power and various international environments. It is the latter tradition that suggests why regimes may be important for a realist orientation. However, it also opens the possibility for viewing regimes as autonomous, not just as intervening, variables. There may be lags between changes in basic causal variables and regime change. There may be feedback from regimes to basic causal variables. Both lags and feedback suggest an importance for regimes that would be rejected by conventional structural arguments.


2013 ◽  
Vol 22 (14) ◽  
pp. 1350085
Author(s):  
ORCHIDEA MARIA LECIAN

The most general solution to the Einstein equations in 4 = 3 + 1 dimensions in the asymptotic limit close to the cosmological singularity under the BKL (Belinskii–Khalatnikov–Lifshitz) hypothesis can be visualized by the behavior of a billiard ball in a triangular domain on the Upper Poincaré Half Plane (UPHP). The billiard system (named "big billiard") can be schematized by dividing the successions of trajectories according to Poincaré return map on the sides of the billiard table, according to the paradigms implemented by the BKL investigation and by the CB–LKSKS (Chernoff–Barrow–Lifshitz–Khalatnikov–Sinai–Khanin–Shchur) one. Different maps are obtained, according to different symmetry-quotienting mechanisms used to analyze the dynamics. In the inhomogeneous case, new structures have been uncovered, such that, in this framework, the billiard table (named "small billiard") consists of 1/6 of the previous one. The connections between the symmetry-quotienting mechanisms are further investigated on the UPHP. The relation between the complete billiard and the small billiard are also further explained according to the role of Weyl reflections. The quantum properties of the system are sketched as well, and the physical interpretation of the wave function is further developed. In particular, a physical interpretation for the symmetry-quotienting maps is proposed.


2021 ◽  
Vol 57 (1) ◽  
pp. 015009
Author(s):  
Rod Cross

Abstract Oblique angle collisions of two penny coins on a smooth, horizontal surface were filmed with a video camera to investigate the physics of the collision process. If one of the coins is initially at rest, then the two coins emerge approximately at right angles, as commonly observed in billiard ball collisions and in puck collisions on an air table. The coins actually emerged at an angle less than 90 degrees due to friction between the coins, which also resulted in both coins rotating after the collision. At glancing angles, the friction force was due to sliding friction. At other angles of incidence the coins gripped each other and the friction force was then due to static friction.


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