The ‘analysis on fractals’ and ‘analysis on metric spaces’ communities have tended to work independently. Metric spaces such as the Sierpinski carpet fail to satisfy some of the properties which are generally assumed for metric spaces. This survey discusses analysis on the Sierpinski carpet, with particular emphasis on the properties of the heat kernel. 1. Background and history Percolation was...

Erdős space E is the ‘rational’ Hilbert space, that is the set of vectors in ` the coordinates of which are all rational. Erdős proved that E is one-dimensional and homeomorphic to its own square E × E, which makes it an important example in dimension theory. Dijkstra and van Mill found topological characterizations of E. Let M n , n ∈ N, be the n-dimensional Menger continuum in R, also known a...

this paper examines the relation between emotional intelligenceand work-family conflict in manufacturing environment. a questionnairesurvey was carried out to explore this relation at carpet factoriesin kashan, iran. a 28-item questionnaire which consist of emotionalintelligence and work-family conflict parts was carried out to investigatethe relation between these variables. some basic socio-d...

Wool in carpets is formed by proteins, where many side chains are polar and ionisable, enabling wool to function as a polymeric ligand exchanger. This project has successfully bound either hydrated ferric oxide (HFO) nanoparticles (Figure 1) or a copper(II) salt onto waste carpet to form a sorbent material. The strongest binding was seen after first modifying the carpet by an alkaline oxidation...

Adhesion of membranes and filaments on periodic rippled surfaces is studied by means of a one-dimensional model. The adhesion behavior is found to depend crucially on the shape of the ripples. Fakir-carpet and sinusoidal patterns are studied in detail. Infinite staircases of periodic ground states are found, with a periodicity diverging at a transition line. Moreover, the boundaries of the regi...