In this study a series of epoxy/silica nanocomposites were prepared by using nano silica particles which had different surface modifications. The morphology of the nanocomposite coatings was characterized by scanning electron microscopy SEM. The effects of the hydrophilic and hydrophobic feature of the nano particles on the Tg and anticorrosive properties of nanocomposite coatings were evaluate...

Supplementary material for “Linking losses for density ratio and class-probability estimation” A. The link Ψdr when π 6= 12 Our discussion in §4.1 assumed that π = 12 , as the KLIEP and LSIF risks (Equations 11, 13) would otherwise require scaling each of the expectations. But in general, we expect π 6= 12 . Of course, since the role of π is just to scale the link Ψdr by a constant, one may leg...

Given samples from two densities p and q, density ratio estimation (DRE) is the problem of estimating the ratio p/q. In this paper, we formally relate DRE and class-probability estimation (CPE), and theoretically justify the use of existing losses from one problem for the other. In the CPE to DRE direction, we show that essentially any CPE loss (e.g. logistic, exponential) minimises a Bregman d...

We establish a result linking the Bouniakowsky conjecture and the density of polynomial roots to prime moduli. Mathematics Subject Classification (2000): 11B05, 11C08, 11K06, 11N32

We report a proof of the quantum Sanov theorem by the elementary application of basic facts about representations of the symmetric group, together with a complete characterization of the optimal error exponent in a situation where the null hypothesis is given by an arbitrarily varying quantum source instead. Our approach differs from previous ones in two ways. First, it supports a reasoning ins...

The elastic modulus of two-dimensional random fibre networks is determined for structures in which, the degree of cross-linking is varied. The relationship between the network parameters – fibre axial and bending stiffness, fibre density and degree of cross-linking – and the overall elastic modulus is discussed and presented in terms of a master curve. It is shown that master curves for sparsel...

A tripropargylammonium surfactant with a methacrylate-terminated hydrophobic tail was combined with a bile salt derivative, divinyl benzene (DVB), and a photo-cross-linker above its critical micelle concentration (CMC). Surface-cross-linking with a diazide, surface-functionalization with an azido sugar derivative, and free-radical-core-cross-linking under UV irradiation yielded molecularly impr...