This is a skeletal and opinionated description of paper writing. Take from it the good things, and disregard the bad things. 1 First Draft The hardest thing about writing a paper (in my experience) is getting a first draft written. In particular, if there are proofs, the hard part means getting some draft of a proof written down on paper, not necessarily with every detail included. It is not ne...

Let f : [0,+∞) → (0,+∞) be a sufficiently smooth convex function, vanishing at infinity. Consider the planar domain Q delimited by the positive x-semiaxis, the positive y-semiaxis, and the graph of f . Under certain conditions on f , we prove that the billiard flow in Q has a hyperbolic structure and, with some extra requirements, that it is also ergodic. This is done using the cross section co...

Positron emission tomography (PET) detectors with the ability to encode depth-of-interaction (DOI) information allow us to simultaneously improve the spatial resolution and sensitivity of PET scanners. In this study, we propose a DOI PET detector based on a stair-pattern reflector arrangement inserted between pixelated crystals and a single-ended scintillation light readout. The main advantage ...

The phenomenon of cavitation is widely experienced in both pumps and under-water components of hydro power plants. The mechanism of material damage during cavitation is mainly attributed to implosion of high velocity bubbles on to the surface giving raise to local increase in stresses in excess of 1.4 GPa. In addition, material wastage due to particle induced erosion is observed in hydro plants...

Backscattered electron scanning electron microscopy (BSE SEM) is an invaluable method for studying the histology of the hard, mineralised components of poly-methyl methacrylate (PMMA) or other resin embedded skeletal and dental tissues. Intact tissues are studied in micro-milled or polished block faces with an electron-optical section thickness of the order of a half to one micron and with the ...

Let f : [0,+∞) −→ (0,+∞) be a sufficiently smooth convex function, vanishing at infinity. Consider the planar domain Q delimited by the positive x-semiaxis, the positive y-semiaxis, and the graph of f . Under certain conditions on f , we prove that the billiard flow in Q has a hyperbolic structure and, for some examples, that it is also ergodic. This is done using the cross section correspondin...

Characteristics and nature of close surface defects existing in fused silica polished optical surfaces were explored. Samples were deliberately scratched using a modified polishing process in presence of different fluorescent dyes. Various techniques including Epi-fluorescence Laser Scanning Mode (ELSM) or STimulated Emission Depletion (STED) confocal microscopy were used to measure and quantif...

Calcium fluoride (111) single crystals for ultra violet applications have been finished to flat by the float polishing process with 7nm-diameter silicon dioxide powder, pure water and a tin lap. The flatness of 32nm P-V on 90-mm-diameter samples that had a surface roughness of 0.72 nm Ry, and 0.077 nm rms were obtained. High-resolution transmission electron microscopy study of the cross-section...

Electronic states at chemically treated SiC surfaces have been studied by scanning tunneling spectroscopy. Charge accumulation on the surface is deduced through a voltage shift observed in the spectra. More charge is observed on electro-polished surfaces as compared to untreated (as-received) surfaces. This difference is interpreted in terms of the electro-polished SiC surfaces being more insul...