Evaporative nanoporous membranes have the potential to unlock next generation of high-power electronics by providing much needed compact and efficient cooling solutions. Here, we develop a novel modeling framework for this class flows and, in doing so, demonstrate that conventional fluid mechanics, based on Navier-Stokes-Fourier paradigm is inaccurate, because domain sizes are comparable mean f...

Consider a job-shop or batch-ow manufacturing system in which new jobs are introduced only as old ones depart, either because of physical constraints or as a matter of management policy. Assuming that there is never a shortage of new work to be done, the number of active jobs remains constant over time, and the system can be modeled as a kind of closed queueing network. With manufacturing appli...

Introduction: The periodic moment method, developed by Munk and colleagues at Ohio State University, is one of the most important and powerful contributions to numerical analysis of antenna arrays, frequency selective surfaces and gratings. PMM, with its extensions and improvements, can handle multiple dielectric layers and slotted metallic sheets, with wires partially inside a dielectric or ai...

A generalization from 2D to 3D of the tensor method for derivation of both affine invariants and rotation, translation and scaling (TRS) invariants is described. The method for generation of the 3D TRS invariants of higher orders is automated and experimentally tested.

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Building recommendation algorithms is one of the most challenging tasks in Machine Learning. Although there has been significant progress in building recommendation systems when explicit feedback is available from the users in the form of rating or text, most of the applications do not receive such feedback. Here we consider the recommendation task where the available data is the record of the ...

The Moment-of-Fluid (MOF) method is a new volume-tracking method that accurately treats evolving material interfaces. The MOF method uses moment data, namely the material volume fraction, as well as the centroid, for a more accurate representation of the material configuration, interfaces and concomitant volume advection. In contrast, the Volume-of-Fluid (VOF) method uses only volume fraction d...

A technique for computing the electromagnetic (EM) radiation and scattering from three-dimensional (3D) conducting bodies of general shape is presented. The arbitrary surface is described by dividing it into a number of connected patches which are mathematically described as parametric quadratic surfaces. The electric eld integral equation (EFIE) is discretized by the standard method of moments...

The second moment method has been fruitfully combined with conditioning by several authors, for example Robinson and Wormald 7], 8] and Frieze and Janson 2]. We try to give a general exposition of this method, and of its relation to approximations of random variables by simpler variables. We discuss several examples where the method has been used in diierent forms. 1. The second moment method O...