For a given positive integer v with v ≡ 4(mod 6) and v > 4, let CKPD(v) denote a canonical Kirkman packing design of order v. It is proved in this paper that any CKPD(v) can be embedded in a CKPD(u) if u ≡ v ≡ 4 (mod 6), v ≥ 82 and u ≥ 3.5v.

A 2D hysteretic Discrete Element Method (DEM) model is developed for simulating the flow of food particles, specifically with multi-material 3D printing processes in mind. Particles are modeled as arbitrarily shaped polygons due to diverse nature powders, which can be highly irregular shape. The force applicable both convex and concave polygonal particles. It adjusted use a proportional weighte...

Screening phage-displayed combinatorial peptide library is an effective approach for discovery of peptide modulators for protein-protein interactions. However, as peptide length increases, the chance of finding active peptides in a finite size library diminishes. To increase the likelihood of finding peptides that bind to a protein, we develop statistical potential for computational constructio...

We survey lower bounds for the variant of the two-dimensional bin packing problem where items cannot be rotated. We prove that the dominance relation claimed by Carlier et al.[5] between their lower bounds and those of Boschetti and Mingozzi [1] is not valid. We analyze the performance of lower bounds from the literature and we provide the results of a computational experiment.

We prove that Best Fit bin packing has linear waste on the discrete distributionU{j, k} (where items are drawn uniformly from the set {1/k, 2/k, · · · , j/k}) for sufficiently large k when j = αk and 0.66 ≤ α < 2/3. Our results extend to continuous skewed distributions, where items are drawn uniformly on [0, a], for 0.66 ≤ a < 2/3. This implies that the expected asymptotic performance ratio of ...

Origami structures enabled by folding and unfolding can create complex 3D shapes. However, even a small 3D shape can have large 2D unfoldings. The huge initial dimension of the 2D flattened structure makes fabrication difficult, and defeats the main purpose, namely compactness, of many origami-inspired engineering. In this work, we propose a novel algorithmic kirigami method that provides super...

original paper   the mass-transfer media plays a significant role on the performance of a packed tower. in this paper three counter-current single-stage packed towers at laboratory scale, randomly packed with two different sizes of two types of packing material were experimentally tested to study the role of the packing on the performance of them in the removal of sulfuric acid mists. gas sampl...