of “An Algorithm to Compute the Stochastically Stable Distribution of a Perturbed Markov Matrix” by John R. Wicks, Ph.D., Brown University, May, 2009. Recently, some researchers have attempted to exploit state-aggregation techniques to compute stable distributions of high-dimensional Markov matrices (Gambin and Pokarowski, 2001). While these researchers have devised an efficient, recursive algo...

ceramic ultrafiltration membranes are considered as an alternative for the treatment of both stable water-in-oil and oil-in-water emulsions proved to be more effective in comparison with other conventional techniques. in this study, symmetric macro-porous ceramic membranes are prepared through dry pressing of α-alumina powder and the addition of various binders including poly (vinyl alcohol). t...

Machining-induced edge chipping damage represents a common challenge in ceramic applications. This paper reports on responses of zirconia materials with porous and dense microstructures to induced conventional ultrasonic vibration-assisted diamond machining. The machining-induced was evaluated using optical scanning electron microscopies. results show that produced these processes associated br...

Dye-sensitized solar cells (DSCs) have been intensively studied as a promising alternative to the conventional Si-based solar cells due to the their good features such as low cost and high power conversion efficiency. 3 The main component of the DSCs is the photoanode, which is composed of a highly porous semiconducting oxide network on which a close-packed monolayer of dye molecules is formed ...

Elements of the commutator subgroup of a free group F can be presented as values of canonical forms, called Wicks forms. We show that, starting from sufficiently high genus g, there is a sequence of words wg which can be presented by f .g/ distinct Wicks forms, where f .g/ > gŠ. Moreover we may choose these words wg to be square-free. Mathematics Subject Classification (2000). 20E05, 20F10.

Purpose: Implant length, implant surface area, and crown-to-root (c/r) ratio and their relationship to crestal bone levels were analyzed in 2 groups of partially edentulous patients treated with sintered porous-surfaced dental implants. Materials and Methods: One hundred ninety-nine implants were used to restore 74 partially edentulous patients with fixed prostheses. Implants were categorized a...

The major factors limiting the thermal performance of passive two-phase heat–spreading devices are the ability of the wick structures to transport liquid by means of capillary forces and the thermal resistance posed by the wicks. Nano-scale geometric enhancements to the wick structure, through the use of carbon nanotubes and metallic nanowires, promise to enhance the capillary transport while a...