We consider timelike Liouville theory with FZZT-like boundary conditions. The bulk one-point and two-point structure constants on a disk are derived using bootstrap techniques. find that these not the analytic continuations of their spacelike counterparts.

We used two standard methods (the common percentile and the log-power gaussian transformation) and two novel methods (weighted percentile and smoothed spline interpolation) to estimate the 2.5th and 97.5th percentiles of 1000 sets of data from eight diverse distributional forms, generated by Monte Carlo simulation. For each distributional form we derived an estimate of optimal performance. Alth...

We review femtosecond laser-direct write inscription of guided wave structures in bulk glass and discuss our recent demonstrations of a range of 2and 3-D photonic devices using this technique. Figure 1: Schematic of the perpendicular writing method used to inscribe waveguides in bulk glass. The components are A: 150fs Ti:Sapphire laser, B: in-line camera, C: variable slit for beam shaping, D: 2...

The effects of traffic frequency and skid trail slope on dry bulk density, litter mass and rutting are examined. Treatments included a combination of four different traffic frequencies (3, 7, 14, and 20 passes of a rubber skidder) and three levels of slope ( 20%.) The results showed that dry bulk density, rut depth and soil displacement increased with the increase of traffic frequency and slop...

in this study, hydroxyapatite (ha) nanocrystals have been synthesized via chemical precipitation technique. diammonium hydrogen phosphate and calcium nitrate 4-hydrate were used as starting materials and sodium hydroxide solution was used as the agent for ph adjustment. the powder sample was evaluated by techniques such as scanning electron microscope, transmission electron microscope, fourier ...