Lattices have been conceived as a powerful tool for data hiding. While conventional studies and applications focus on achieving the optimal robustness versus distortion tradeoff, in some such hiding medical/physiological signals, primary concern is to achieve minimum amount of cover signal. In this paper, we revisit celebrated quantization index modulation (QIM) scheme propose minimum-distortio...

The .whole measurement process includes data collection, data processing and analysis and other procedures accounting for criteria useful to the evaluation of the experiemental observation and results. Reproducibility, repeatability and uncertainty are useful for evaluating the experimental observation. Precision and accuracy play a role in the results’ achievement from XRPD data collection. In...

in this paper, our purpose is twofold. firstly, the tensor andresiduum operations on $l-$nested systems are introduced under thecondition of complete residuated lattice. then we show that$l-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. thus the new representation theorem of$l-$subsets on complete re...

abstract. let $l$ be a lattice with the least element $0$. an element $xin l$ is a zero divisor if $xwedge y=0$ for some $yin l^*=lsetminus left{0right}$. the set of all zero divisors is denoted by $z(l)$. we associate a simple graph $gamma(l)$ to $l$ with vertex set $z(l)^*=z(l)setminus left{0right}$, the set of non-zero zero divisors of $l$ and distinct $x,yin z(l)^*$ are adjacent if and only...

We deene a very general notion of data reenement which comprises the traditional notion of data reenement as a special case. Using the concepts of duals and adjoints we deene converse commands and a nd a symmetry between ordinary data reenement and a dual (backward) data reenement. We show how ordinary and backward data reenement are interpreted as simulation and we derive rules for the piecewi...