We extend the notion of parking functions to parking sequences, which include cars of different sizes, and prove a product formula for the number of such sequences. 1 The result. Parking functions were first introduced by Konheim and Weiss [5]. The original concept was that of a linear parking lot with n available spaces, and n cars with a stated parking preference. Each car would, in order, at...

Two similar multiagent systems have been designed to address the issue of information sharing within a multiagent system. This paper examines architectural components that have been added to our information sharing societies, ACORN and MP3. Through this exploration, we conclude that these components and their underlying concepts can be added to other information retrieval societies. ACORN consi...

We report a theoretical description and experimental implementation of multiplex coherent anti-Stokes Raman scattering (M-CARS) microspectroscopy using a picosecond pump beam and a femtosecond Stokes beam. The effect of the chirp in the Stokes pulse on a M-CARS spectrum is studied. Polarization-sensitive detection is utilized for suppression of the nonresonant background and for selective detec...

Far field radiation pattern under tight focusing condition is investigated in Coherent Anti-stokes Raman Scattering (CARS) microscopy both in the forward (F-CARS) and backward (E-CARS) directions. While we assume no refraction index mismatch between the sample and the environing medium, our rigorous numerical electromagnetic computation takes into account the exact polarizations of the excitati...

In coherent anti-Stokes Raman scattering (CARS), the emitted signal carries both amplitude and phase information of the molecules in the focal volume. Most CARS experiments ignore the phase component, but its detection allows for two advantages over intensity-only CARS. First, the pure resonant response can be determined, and the nonresonant background rejected, by extracting the imaginary comp...

We apply coherent anti-Stokes Raman Scattering (CARS) microscopy to characterize director structures in liquid crystals. We demonstrate that the polarized CARS signal in these anisotropic fluids strongly depends on alignment of chemical bonds/molecules with respect to the collinear polarizations of Stokes and pump/probe excitation beams. This dependence allows for the visualization of the bond/...

Different rotational CARS techniques have been evaluated in terms of single-shot temperature accuracy and signal intensity in room temperature nitrogen and in flames. The different techniques include both dual broadband techniques, using one or two broadband dye lasers, and conventional rotational CARS with different dye lasers. These techniques are also compared with vibrational CARS concernin...