The problem of illuminating a simple n-gon with cn, c < 1 πlights is open, whereas a lower bound of ⌊ 3 5 n⌋ is known. We provide an algorithm for placing π-lights, and experimental results that support the conjecture that ⌊ 3 5 n⌋ lights are also sufficient. We also prove that ⌊ 5 6 n⌋ π-lights suffice if some may be outward facing.

We study a Rendezvous problem for 2 autonomous mobile robots in asynchronous settings with persistent memory called light. It is well known that Rendezvous is impossible when robots have no lights in basic common models, even if the system is semi-synchronous. On the other hand, Rendezvous is possible if robots have lights with a constant number of colors in several types lights[9, 20]. In asyn...

A traffic light is a device for the regulation of traffic between road users, vehicles and pedestrians. The setting and synchronization of traffic lights of an axis or an area are very complex, and sometimes unsatisfactory for all or part of them. In addition, according to several studies, traffic lights would be responsible for half of the traffic jams and thus half the pollution, and poorly r...

1. In case Cerianthus is acted upon by two lights of unequal intensities the relation between the angle turned and the ratio between the intensities of the two lights is mathematically expressed by the equation log(10) See PDF for Equation tan a, in which See PDF for Equation is the ratio of the two lights, a is the angle turned from the neutral position, and K = 0.615. 2. According to publishe...

While today’s general purpose manipulators contain six degrees of freedom, effective reduction in degrees of freedom occurs from singularity regions and from workspace obstacles. It is argued that the future general purpose manipulators will contain seven degrees of freedom, and that one particular kinematic design is superior to other possible 7 degree of freedom kinematic designs. Considerati...

State educational spending policies strongly impact the funding of local schools. While some US states have removed school spending authority from local residents, others continue to encourage local control. In this paper we explore the effects of changes in state educational spending policies on Tiebout sorting by examining the location choice of young and elderly households, both within and a...

Any elementary textbook on statistical mechanics will try to convince you that energy is everything w.r.t. phase separation. The goal of this thesis is to show otherwise.

Changing a scene's illuminant causes the chromatic properties of reflected lights to change. This change in the lights from surfaces provides spectral information about surface reflectances and illuminants. We examine conditions under which these properties may be recovered by using bilinear models. Necessary conditions that follow from comparing the number of equations and the number of unknow...