Abstract: A system comprising a first baseboard element, a second baseboard element, and a spline configured to couple with the first baseboard element and the second baseboard element. Another system comprising a first crown element, a second crown element, and a spline configured to couple with the first crown element and the second crown element. Other embodiments are disclosed herein.

Abstract: In one embodiment, a system comprises a first baseboard element, a second baseboard element, and a spline configured to couple with the first baseboard element and the second baseboard element. In another embodiment, a system comprises a first crown element, a second crown element, and a spline configured to couple with the first crown element and the second crown element. In another embodiment, a system comprises a crown spline, a baseboard spline, and a wall element configured to be coupled with the crown spline and the baseboard spline. Other embodiments are disclosed herein.

Abstract: A baseboard element including a nose portion, a riser portion coupled to the nose portion, and a wall groove portion coupled to the riser portion. The nose portion includes a nose bottom section and a nose face section. The riser portion includes a riser section approximately perpendicular to the nose bottom section. The nose portion is positioned only on a first side of the riser section, and the wall groove portion is positioned only on a second side of the riser section, the second side opposite the first side. The nose bottom section comprises a nose bottom edge that is located at a terminal end of the nose bottom section and that is located closer to a plane defined by the riser section than the nose face section is to the plane. Other embodiments are also provided.

Abstract: Systems and methods are described herein to provide a frame assembly adjustable to fit different sized walls. The frame assembly can comprise one or more portions for receiving wall coverings when the frame assembly is coupled to an end of a wall. In various embodiments, the frame assembly can be a door frame assembly or a window frame assembly. Other embodiments are disclosed herein.

Abstract: A baseboard element including a nose portion, a riser portion, and a wall groove portion coupled to the riser portion. The nose portion includes a nose bottom section and a nose face section. The riser portion includes a riser section extending approximately perpendicular to the nose bottom section and a riser bend coupled to the nose portion. The riser section is substantially planar and defines a plane. The nose portion is positioned only on a first side of the plane defined by the riser section, and the wall groove portion is positioned only on a second side of the plane, the second side opposite the first side. The nose bottom section comprises a nose bottom edge at a terminal end of the nose bottom section. No structure of the baseboard element extends beyond the terminal end of the nose bottom section from the terminal end. The nose bottom edge of the nose bottom section is either approximately at the plane or closer to the plane than the nose face section is to the plane.

Abstract: In one embodiment, a system comprises a first baseboard element, a second baseboard element, and a spline configured to couple with the first baseboard element and the second baseboard element. In another embodiment, a system comprises a first crown element, a second crown element, and a spline configured to couple with the first crown element and the second crown element. In another embodiment, a system comprises a crown spline, a baseboard spline, and a wall element configured to be coupled with the crown spline and the baseboard spline. Other embodiments are disclosed herein.

Abstract: A baseboard element including a nose portion that includes a nose bottom section, a nose top section extending approximately parallel to the nose bottom section, and a nose face section extending between the nose bottom section and the nose top section. The baseboard element also can include a riser portion comprising a riser section extending approximately perpendicular to the nose top section, and a riser bend extending between the riser section and the nose top section of the nose portion. The baseboard section additionally can include a wall groove portion comprising a groove front section extending approximately parallel to the riser section of the riser portion, a groove back section extending approximately parallel to the groove front section, a groove bottom bend extending between the groove front section and the groove back section, and a groove top bend extending between the groove front section and the riser section of the rise portion. Other embodiments are provided.

Abstract: Systems and methods are provided for providing protected three-dimensional components for simulation. A three-dimensional component may be accessed, wherein the three-dimensional component includes one or more characteristics of the three-dimensional component, and wherein certain values of the characteristics of the three-dimensional components are variable via a parameter. An encapsulation command may be received for the three-dimensional component, wherein the encapsulation command includes an encryption setting, an access control setting, and an identification of which values of the characteristics of the three-dimensional component are variable via a parameter. An encapsulation of the three-dimensional component may be generated, wherein the encapsulation is encrypted based on the encryption setting and the access control setting, and wherein, when the three-dimensional component is encrypted, the three-dimensional component is inaccessible outside of an authorized program.

Abstract: A system. The system includes a computing device having a processor, and a causality checker module communicably connected to the processor. The causality checker module is configured to utilize a rational function approximation to a frequency response to determine if a transfer function of a linear time invariant system is causal.

Abstract: A model synthesizer generates a state-space model of a structure from frequency domain parameters of the structure using a selected number of significant eigenvalues of a matrix derived from the frequency-domain parameters such that the quality of the fit of the model is improved. A matrix of the frequency-domain parameters is reshaped so as to improve performance of determination of the fit quality. Passivity violations in the model can be removed via regularization and error control such that the fit quality of the model after removal of the passivity violations is within a specified tolerance. Cholesky factorization can improve the performance of passivity violation detection. This Abstract is provided for the sole purpose of complying with the Abstract requirement rules. This Abstract is submitted with the explicit understanding that it will not be used to interpret or to limit the scope or the meaning of the claims.

Abstract: A multi-zonal analysis processor-implemented system is provided for analyzing physical behavior of a multi-zonal physical object. Candidate multi-zonal engineering models, solution methods, and parameters associated with the engineering models and solution methods are selected for use in analyzing different zones of the physical object.

Abstract: In a system for simulations of fields related to physical objects by iteratively solving a system matrix equation, the system matrix is preconditioned using a modified Gauss-Seidel preconditioner so as to eliminate or reduce a sequential nature of the iterations, thus facilitating parallel solution of the conditioned system matrix.

Abstract: Disclosed are system and methods for simulating signal integrity structures using stable processed modes (e.g., matched traveling-wave power modes), and/or for creating response surfaces from stable response parameters.

Abstract: Physical systems modeled by matrix equations may simultaneously be simulated for multiple excitations using, for example, an adaptive Krylov iterative recycling method.

Abstract: In various embodiment, a simulator includes an analysis module for extracting transmission-line parameters of a transmission-line system from a network-parameter representation thereof, using discontinuity-detection-based phase unwrapping without introducing artificial discontinuities, and a simulator module for simulating the response of the transmission-line system to an input based on the extracted transmission-line parameters.

Abstract: A system for performing a multiphysics simulation. The system includes a computing device, a database and a plurality of service proxy modules. The computing device includes a processor. The database is communicably connected to the processor and is associated with a plurality of data models. The plurality of service proxy modules are communicably connected to the processor. Each service proxy module is configured to extract at least a portion of the database for use by a service communicably connected thereto.

Abstract: A system. The system includes a computing device having a processor, and a causality checker module communicably connected to the processor. The causality checker module is configured to utilize a rational function approximation to a frequency response to determine if a transfer function of a linear time invariant system is causal.

Abstract: Disclosed are domain-decomposition approaches to simulations of electromagnetic fields may that, in various embodiments, use second-order Robin transmission conditions at subdomain boundaries.

Abstract: A simulator includes an analysis module for extracting a state-space model of response of a physical system to an input from a frequency-domain representation thereof, using a SVD, and singular vectors thereof, of a Loewner matrix derived from the frequency-domain representation, and a simulator module for simulating the response of the physical system in the time domain based on the extracted state-space model.

Abstract: A system for automatically generating a report from engineering data stored in a database is comprised of a user computer having a browser for requesting an HTML file. A web server generates the requested HTML based on Active Server Pages technology. The ASP file includes script for instantiating a component. The component, a dynamic link library, includes an automation hierarchy. The ASP page includes script for actively generating the report through interaction with the instantiated objects. The HTTP protocol connects the user computer and the web server.