Given a set of points P, a conflict-free coloring of P is an assignment of colors to points of P, such that there exist a point p in any subset of P whose color is distinct from all other points in that subset of P. This notion is motivated by frequency assignment in wireless cellular networks: one would like to minimize the number of frequencies (colors) assigned to base stations (points), suc...

We describe a modification of the usual definition of astronomical magnitudes, replacing the usual logarithm with an inverse hyperbolic sine function; we call these modified magnitudes ‘asinh magnitudes’. For objects detected at signalto-noise ratios of greater than about five, our modified definition is essentially identical to the traditional one; for fainter objects (including those with a f...

from bygone to now, colors are aspects of nature that have been regarded scientists. in ancient greece, essence of color and its relationship with light and vision in natural philosophy and especially optics has been studied. results of greek thinkers in the field chromatics, from pythagoras to aristotle through of translating scientific and philosophical texts, received to muslim scholars and ...

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...

Color constancy is the ability to perceive constant surface colors under varying lighting conditions. Color constancy has traditionally been investigated with asymmetric matching, where stimuli are matched over two different contexts, or with achromatic settings, where a stimulus is made to appear gray. These methods deliver accurate information on the transformations of single points of color ...

Two experiments were conducted to investigate whether color representations are routinely activated when color words are processed. Congruency effects of colors and color words were observed in both directions. Lexical decisions on color words were faster when preceding colors matched the color named by the word. Color-discrimination responses were slowed down when preceding color words mismatc...

Even within the framework of the leading logarithmic approximation the eigenvalues of the BKP kernel for states of more than three reggeized gluons are unknown in general, contrary to the planar limit case where the problem becomes integrable. We consider a 4-gluon kernel for a finite number of colors and define some simple toy models for the configuration space dynamics, which are directly sol...

The prior statistics of object colors is of much interest because extensive statistical investigations of reflectance spectra reveal highly non-uniform structure in color space common to several very different databases. This common structure is due to the visual system rather than to the statistics of environmental structure. Analysis involves an investigation of the proper sample space of spe...

Abstract. We establish the volume conjecture for (m, 2)-cables of the figure 8 knot, when m is odd. For (m, 2)-cables of general knots where m is even, we show that the limit in the volume conjecture depends on the parity of the color (of the Kashaev invariant). There are many cases when the volume conjecture for cables of the figure 8 knot is false if one considers all the colors, but holds tr...