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In a previous work, a new Gauss quadrature was introduced with a view to evaluate multicenter integrals over Slater-type functions efficiently. The complexity analysis of the new approach, carried out using the three-center nuclear integral as a case study, has shown that for low-order polynomials its efficiency is comparable to the SD. The latter was(More)
Motivation. Among the molecular integrals, the two–center overlap integrals play a major role in any accurate molecular structure calculation. They are central to the calculation of multicenter overlap integrals when using the series expansion formulae for Slater type functions about a new center. Consequently, these integrals require an accurate and fast(More)
Spatial and temporal temperature variations exist in a compost pile. This study demonstrates that systematic temperature sampling of a compost pile, as is widely done, tends to underestimate these variations, which in turn may lead to false conclusions about the sanitary condition of the final product. To address these variations, a proper scheme of(More)
In the framework of the Fourier integral transform, complicated multicenter integrals, e.g., three-center nuclear attraction and exchange integrals, over B functions involve a multiple integral (double or triple), the innermost of which is a Hankel transform of an exponentially decreasing term. Because of the oscillatory nature of the Hankel transform and(More)
Modular construction has been a widely used method for industrial construction in Alberta. Heavy piperack modules are prefabricated and assembled offsite and transported to site for installation, which minimizes the impact of Alberta's harsh weather and improves efficiency. Such projects are large in scale, ranging from hundreds of modules to thousands;(More)
Mobile cranes are used to lift heavy modules in industrial projects. These heavy modules are often prefabricated and each project consists of a large number of lifts (e.g., a typical industrial project may have between 150 and 1000 modules to be lifted). To ensure the safety and efficiency of these lifting activities, crane motion planning is needed.(More)
A 3D model allows users to visualize the construction process during a given period of the schedule. This paper presents a methodology to aid practitioners in preparing lift studies with crane selection, positioning, and lift optimization using a 3D space. The 3D visualization helps to identify collision free paths and optimize lifting activities based on(More)
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