Undesirable effects of chaos suggest the need for a comprehensive understanding nonlinear and chaotic behavior nanodevices powered by Casimir force. Here, dynamics nanoscale mechanical device composed corrugated cylinder (pinion) placed between two plates (racks) coupled via lateral force is theoretically numerically explored when both racks undergo harmonic motion. Three dimensionless paramete...

We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack’s second rack cohomology satisfying a new degeneracy conditio...

This paper presents a methodology to investigate the link between bicycle activity and built environment, road and transit network characteristics, and bicycle facilities while also accounting for spatial autocorrelation between intersections. The methodology includes the normalization of manual cyclist counts to average seasonal daily volumes (ASDV), taking into account temporal variations and...

In this paper, we prove that the category of rack crossed modules (with a fixed codomain) is finitely complete. other words, construct product, pullback and equalizer objects in racks. We therefore unify group-theoretical analogy completeness property sense functor $\mathbf{Conj \colon Grp \to Rack} $.

Disaggregation of resources in the data center, especially at the rack-scale, offers the opportunity to use valuable resources more efficiently. It is common that mass storage racks in large-scale clouds are filled with servers with Hard Disk Drives (HDDs) attached directly to each of them, either using SATA or SAS depending on the number of HDDs. What does disaggregated storage mean for these ...

This study addresses a strategic design problem for bicycle sharing systems incorporating bicycle stock considerations. The problem is formulated as a hub location inventory model. The key design decisions considered are: the number and locations of bicycle stations in the system, the creation of bicycle lanes between bicycle stations, the selection of paths of users between origins and destina...

We study closed smooth convex plane curves Γ enjoying the following property: a pair of points x, y can traverse Γ so that the distances between x and y along the curve and in the ambient plane do not change; such curves are called bicycle curves. Motivation for this study comes from the problem how to determine the direction of the bicycle motion by the tire tracks of the bicycle wheels; bicyc...

In this paper, we do research on a new compact storage system which is an extension of conventional automated storage and retrieval system (AS/RS). The new system consists of the S/R machine which travels simultaneously in the horizontal and vertical dimension. At the same time, there is a conveyor system which is in charge of motion of depth dimension which means there are several storage cell...

The market segmentation analysis for bicycle commuting can help identify distinct bicycle market segments and develop specific policies or strategies for increasing the bicycle usage in each segment. This study aims to use the approach of attitudinal market segmentation for identifying the potential markets of bicycle commuting. To achieve the research objective, the household survey is conduct...