Abstract: The present invention provides an automated system and method for laying out photovoltaic (PV) solar panels on one or more regions of a roof or ground installation. Automation includes a presentation of optimal comparative layouts, use of different panels (of the same or different manufacturers), and consideration of different energy production characteristics and different layout constraints. Diverse mathematical approaches are used to determine the optimal panel layout for a given geographic region and for particular goals, including, but not limited to, the objective of maximizing the solar production from the designated region(s). The application of two such mathematical algorithms are detailed as parts of an exemplary embodiment: a deterministic edge-aligned approach as well as a nondeterministic approach that employs a genetic evolution simulation.

Abstract: Methods related to the generation of shape signatures representing molecular shape, and using shape signatures in both ligand-based and receptor-based molecular design. Ray-tracing is used to explore the volume interior to a ligand, or the space exterior to a receptor site. Shape signatures are then probability distributions derived from the ray-traces. Shape signatures provide condensed descriptors of shape properties readily compared to each other to test for shape similarity or complementarity.

Abstract: Methods related to the generation of shape signatures representing molecular shape, and using shape signatures in both ligand-based and receptor-based molecular design. Ray-tracing is used to explore the volume interior to a ligand, or the space exterior to a receptor site. Shape signatures are then probability distributions derived from the ray-traces. Shape signatures provide condensed descriptors of shape properties readily compared to each other to test for shape similarity or complementarity.

Abstract: Methods related to the generation of shape signatures representing molecular shape, and using shape signatures in both ligand-based and receptor-based molecular design. Ray-tracing is used to explore the volume interior to a ligand, or the space exterior to a receptor site. Shape signatures are then probability distributions derived from the ray-traces. Shape signatures provide condensed descriptors of shape properties readily compared to each other to test for shape similarity or complementarity.

Abstract: Methods related to the generation of shape signatures representing molecular shape, and using shape signatures in both ligand-based and receptor-based molecular design. Ray-tracing is used to explore the volume interior to a ligand, or the space exterior to a receptor site. Shape signatures are then probability distributions derived from the ray-traces. Shape signatures provide condensed descriptors of shape properties readily compared to each other to test for shape similarity or complementarity.