Pattern Formation in Rectangular Planform Containers

Pattern Avoiding Linear Extensions of Rectangular Posets

In [Yak15] Yakoubov introduced an extensive new family of permutation enumeration problems. To state the most general of these problems, suppose n is a positive integer, ⇑ is a partial order on [n], and σ1, . . . , σk are permutations. Then Yakoubov’s problem is to determine how many permutations π of [n] avoid σ1, . . . , σk and also have the property that if π(i) ⇑ π(j) then i < j. In other w...

Pattern Formation in Electric

Approximating Minimum-Area Rectangular and Convex Containers for Packing Convex Polygons

We investigate the problem of finding a minimum-area container for the disjoint packing of a set of convex polygons by translations. In particular, we consider axis-parallel rectangles or arbitrary convex sets as containers. For both optimization problems which are NP-hard we develop efficient constant factor approximation algorithms.

Auger Design for Uniform Unloading of Granular Material: I. Rectangular Cross-section Containers

Design equations were developedfor two auger configurations that for practical purposes generate uniform vertical flow of granular material through containers or boxes having a rectangular cross-section. Both configurations have uniform outside diameters so the simple geometry of the conventional U-trough housings could be used with these augers. One configuration had a uniform pitch for the au...

‏‎suppression of coke formation in thermal cracking by coke inhibitors‎‏

‏‎the main purpose of this research was to:1.develop a coking model for thermal cracking of naphtha.2.study coke inhibition methods using different coke inhibitors.developing a coking model in naphtha cracking reactors requires a suitable model of the thermal cracking reactor based on a reliable kinetic model.to obtain reliable results all these models shall be solved simultaneously.for this pu...