Abstract: The present disclosure relates generally to a roofing system including flashing, for example, suitable for protecting a roof from water leakage. The present disclosure relates more particularly to a roofing system including first, second, and third courses of shingles, where the second course overlaps the first and the third course overlaps the second. A flashing plate is disposed over the first course of shingles and partially under the second course of shingles. The flashing plate and the third course of shingles are spaced apart by a gap in a direction of the slope of the roof between a top edge of the flashing plate and a lower edge of the third course of shingles.

Abstract: A Foundational Framework (“the Framework”) may refer to an apparatus that connects a multiplicity of potentially very complex components, each of which produce different types of information related to financial forecast, while maintaining a distributed and federated model to allow high autonomy to each component. The innovative Framework provides a unified operation of lifecycle of every component and allows the production of unlimited types of forecasts of different dimensions and for different purposes using a common tool that is responsible of coordinating and running the sequence of components for the user's needs.

Abstract: A roofing product can include a heater. In an embodiment, the heater can have different areas that have different heat flux capacities, different portions having heater elements of different lengths or a combination thereof. The roofing product can be installed so that an area of the roof that has a higher heat load, such as near an eave and a valley of the roof, can receive more heat. In another embodiment, the roofing product includes an overhang section that includes at least a portion of the heater. The roofing product can be installed, and the overhang section can be coupled to an object that extends beyond an edge of the roof or over a plane defined by a roof. Many different manufacturing techniques can be used to form the heaters.

Abstract: A building panel of the roofing or siding type is disclosed, as well as a building structure having such roofing or siding panels, in which the panels are comprised of two different types of building materials. The composite panel includes at least one layer of synthetic polymeric building material, having adhesively secured thereto at least one layer of asphalt based building material, with outer, upper surfaces of the panel, that would be weather-exposed in the installed condition on a building structure being comprised of the asphalt based building material, and with the synthetic polymeric layer(s) of polymeric building material being weather-protected in the installed condition on a building structure.

Abstract: The present disclosure relates generally to a roofing system including flashing, for example, suitable for protecting a roof from water leakage. The present disclosure relates more particularly to a roofing system including first, second, and third courses of shingles, where the second course overlaps the first and the third course overlaps the second. A flashing plate is disposed over the first course of shingles and partially under the second course of shingles. The flashing plate and the third course of shingles are spaced apart by a gap in a direction of the slope of the roof between a top edge of the flashing plate and a lower edge of the third course of shingles.

Abstract: The present disclosure relates generally to a roofing system including flashing, for example, suitable for protecting a roof from water leakage. The present disclosure relates more particularly to a roofing system including first, second, and third courses of shingles, where the second course overlaps the first and the third course overlaps the second. A flashing plate is disposed over the first course of shingles and partially under the second course of shingles. The flashing plate and the third course of shingles are spaced apart by a gap in a direction of the slope of the roof between a top edge of the flashing plate and a lower edge of the third course of shingles.

Abstract: A method for decision tree-based management of market risk stress scenarios may include: receiving, from a front office system, a shock request comprising a scenario and a risk factor; retrieving the scenario from a scenario definition store, the scenario definition store comprising a plurality of scenarios; normalizing the risk factor resulting in standardized risk exposure; retrieving, from the retrieved scenario, a decision tree matching a risk factor type for the standardized risk factor, the decision tree comprising a plurality of nodes, each node having a shock instruction comprising an explicit shock instruction or no shock instruction; traversing the decision tree to identify a node that matches the standardized risk factor; and returning the shock instruction to the front office system, the returned shock instruction comprising the explicit shock instruction associated with the matching node or the last explicit shock instruction traversed before traversing to the matching node.

Abstract: The present disclosure relates generally to a roofing system including flashing, for example, suitable for protecting a roof from water leakage. The present disclosure relates more particularly to a roofing system including first, second, and third courses of shingles, where the second course overlaps the first and the third course overlaps the second. A flashing plate is disposed over the first course of shingles and partially under the second course of shingles. The flashing plate and the third course of shingles are spaced apart by a gap in a direction of the slope of the roof between a top edge of the flashing plate and a lower edge of the third course of shingles.

Abstract: A Foundational Framework (“the Framework”) may refer to an apparatus that connects a multiplicity of potentially very complex components, each of which produce different types of information related to financial forecast, while maintaining a distributed and federated model to allow high autonomy to each component. The innovative Framework provides a unified operation of lifecycle of every component and allows the production of unlimited types of forecasts of different dimensions and for different purposes using a common tool that is responsible of coordinating and running the sequence of components for the user's needs.

Abstract: A roofing product can include a substrate and a heater. The roofing product may be placed along portions of a roof where heat can help to reduce the likelihood of water freezing into ice while along a roof. In an embodiment, a hinge can be used in a roofing product to aid in folding of the roofing product or to retain a non-planar shape of the roofing product. The roofing product may or may not include a self-adhesive backing. A roofing product can include plurality of heaters that can provide sufficient heating should a particular heater fail. Method of fabricating the roofing product can be adapted for a fabrication line that can operate continuously.

Abstract: A building panel of the roofing or siding type is disclosed, as well as a building structure having such roofing or siding panels, in which the panels are comprised of two different types of building materials. The composite panel includes at least one layer of synthetic polymeric building material, having adhesively secured thereto at least one layer of asphalt based building material, with outer, upper surfaces of the panel, that would be weather-exposed in the installed condition on a building structure being comprised of the asphalt based building material, and with the synthetic polymeric layer(s) of polymeric building material being weather-protected in the installed condition on a building structure.

Abstract: A shingle, a method of making it, and a roof embodying the shingle is provided, in which an exterior surface of the shingle is provided with an attached reinforcement layer through which fasteners may be applied when the shingle is applied to a roof.

Abstract: A shingle, a method of making it, and a roof embodying the shingle is provided, in which an exterior surface of the shingle is provided with an attached reinforcement layer through which fasteners may be applied when the shingle is applied to a roof

Abstract: A shingle, a method of making it, and a roof embodying the shingle is provided, in which an exterior surface of the shingle is provided with an attached reinforcement layer through which fasteners may be applied when the shingle is applied to a roof.

Abstract: The present invention relates generally to the photovoltaic generation of electrical energy. The present invention relates more particularly to photovoltaic roofing products for use in photovoltaically generating electrical energy. One aspect of the invention is a photovoltaic roofing element comprising: a flexible roofing substrate; a photovoltaic element disposed on the flexible roofing substrate; and an electrical connector operatively coupled to the photovoltaic element, wherein the flexible roofing substrate has formed therein a recess shaped to at least partially receive the electrical connector.

Abstract: A shingle, a method of making it, and a roof embodying the shingle is provided, in which an exterior surface of the shingle is provided with an attached reinforcement layer through which fasteners may be applied when the shingle is applied to a roof.

Abstract: A shingle, a method of making it, and a roof embodying the shingle is provided, in which an exterior surface of the shingle is provided with an attached reinforcement layer through which fasteners may be applied when the shingle is applied to a roof.

Abstract: A shingle, a method of making it, and a roof embodying the shingle is provided, in which an exterior surface of the shingle is provided with an attached reinforcement layer through which fasteners may be applied when the shingle is applied to a roof.

Abstract: A roofing shingle includes strata that are stacked and laminated together by adhesive. Each of the strata may have a strata width that differs from the other strata. Each of the strata may include a substrate, a top asphalt layer on top of the substrate, granular matter on the top asphalt layer, a bottom asphalt layer on a bottom of the substrate, and mineral matter on the bottom asphalt layer.

Abstract: A computer-implemented method for analyzing supply chain sensitivity based on a supply chain model is described. The method comprises defining a plurality of input parameters and an objective for the supply chain model Each of the input parameters includes a plurality of values within a respective range. The method further comprises obtaining a plurality of configurations of the supply chain for achieving the objective by applying the values of the input parameters to the supply chain model and generating a graphical representation for the objective based on the configurations of the supply chain. The graphical representation includes a plurality of data points, each of the data points representing a configuration of the supply chain.