Abstract: In this disclosure, quantum algorithms are presented for simulating Hamiltonian time-evolution e?i(A+B)t in the interaction picture of quantum mechanics on a quantum computer. The interaction picture is a known analytical tool for separating dynamical effects due to trivial free-evolution A from those due to interactions B. This is especially useful when the energy-scale of the trivial component is dominant, but of little interest. Whereas state-of-art simulation algorithms scale with the energy ?A+B???A?+?B? of the full Hamiltonian, embodiments of the disclosed approach generally scale linearly with the sum of the Hamiltonian coefficients from the low-energy component B and poly-logarithmically with those from A.

Abstract: Systems, computer-implemented methods, and computer program products are provided for automated planning of a cutting boundary for removal of a diseased region of an anatomy, such as a bone tumor. A model is provided for the diseased region of the anatomy, and optionally, a healthy region of the anatomy. One or more cutting geometries are defined relative the diseased region. Algorithms are provided which enable automated optimization of characteristics (e.g., shape, size, position, orientation) of the cutting geometries relative to the diseased region in order to plan for complete removal of the diseased region, en bloc, while minimizing an amount of healthy region to be removed.

Abstract: Provided herein is a method of forming a ventricular support device for a diseased heart, including providing imaging data of the diseased heart, forming a three-dimensional (3D) heart model based on the imaging data, providing strain data including a plurality of strain estimates for at least one segment of the diseased heart, mapping the plurality of strain estimates onto corresponding portions of the 3D heart model to form a 3D diseased heart model, based on the 3D diseased heart model, forming a model of the ventricular support device configured to surround at least a portion of the diseased heart and provide support based upon said strain estimates, and converting the model of the ventricular support device to a digital file useful for directing a 3D printer device to print said ventricular support device for said diseased heart. Also provided is a customized ventricular support device so produced.

Abstract: An automated robot design pipeline facilitates the overall process of designing robots that perform various desired behaviors. The disclosed pipeline includes four stages. In the first stage, a generative engine samples a design space to generate a large number of robot designs. In the second stage, a metric engine generates behavioral metrics indicating a degree to which each robot design performs the desired behaviors. In the third stage, a mapping engine generates a behavior predictor that can predict the behavioral metrics for any given robot design. In the fourth stage, a design engine generates a graphical user interface (GUI) that guides the user in performing behavior-driven design of a robot. One advantage of the disclosed approach is that the user need not have specialized skills in either graphic design or programming to generate designs for robots that perform specific behaviors or express various emotions.

Abstract: A method of efficiently modeling changes to mitigation of an occurrence of a rare event for a number of simulation trials includes obtaining or generating a number of sparse simulation trials of a simulation including a total number of simulation trials (x) associated with the N occurrences of a rare event, assigning fractions of 1/N to N/N to the sparse simulation trials, filtering the sparse simulation trials by the assigned fractions by a percentage corresponding to y/N to simulate a mitigation of the likelihood of failure, and outputting sparse simulation trials that are less than the percentage to statistically represent the effects of the mitigation on the total number of trials.

Abstract: Techniques and a system for quantum circuit decomposition by integer programming are provided. In one example, a system includes a quantum circuit decomposition component and a simulation component. The quantum circuit decomposition component generates graphical data for a quantum circuit that is indicative of a graphical representation of the quantum circuit. The graphical representation is formatted as a hypergraph. The simulation component simulates the quantum circuit based on the graphical data associated with the hypergraph.

Abstract: A method and system automatically generates a display of symbolic equations from a graphical model (or vice versa) which is readable, parametric, and interactive.

Abstract: Aspects of the present disclosure relate generally to preparing models of three-dimensional structures. In particular, a model of a three-dimensional structure constructed of porous geometries is prepared. A component file including a porous CAD volume having a boundary is prepared. A space including the porous CAD volume is populated with unit cells. The unit cells are populated with porous geometries having a plurality of struts having nodes on each end. The space is populated with at least one elongated fixation element extending beyond the boundary to produce an interlocking feature enabling assembly or engagement with a mating structure.

Abstract: Computer-implemented systems and methods for generating a mesh and conformally connecting the mesh to an existing mesh are provided. The existing mesh is displayed via a graphical user interface (GUI) of a computer-aided design modeling system using a processing system. A polyhedral mesh is generated in an empty space adjacent to the existing mesh using the processing system. The generating of the polyhedral mesh includes (i) defining the empty space as a first surface mesh comprising triangles, quadrilaterals, polygonals, or a mixture thereof, (ii) generating a dual of the first surface mesh to form a second surface mesh, the empty space being enclosed by the second surface mesh, and (iii) filling a gap region between the first and second surface meshes with the polyhedral mesh and conformally connecting the polyhedral mesh to the existing mesh using the processing system.

Abstract: A cutter bit for a work tool on a machine includes a leading end, conical-shaped tip portion, a rearward, frustoconical-shaped tip portion extending axially rearwardly from the leading end, conical-shaped tip portion, an annular ledge extending radially outwardly from a trailing edge of the rearward, frustoconical-shaped tip portion, a frustoconical-shaped body portion extending axially rearwardly from an outer circumferential edge of the annular ledge, a cylindrical collar portion extending axially rearwardly from a trailing edge of the frustoconical-shaped body portion, and a trailing end, cylindrical-shaped shank portion extending axially rearwardly from the cylindrical collar portion. The cutter bit may also include a plurality of circumferentially-spaced ribs projecting radially outwardly from an outer peripheral surface of at least one of the leading end, conical-shaped tip portion, the rearward, frustoconical-shaped tip portion, or the frustoconical-shaped body portion.

Abstract: A method comprises measuring pressures at a number of locations along a drill pipe of a drill string positioned in a wellbore, using a number of pressure sensors that are positioned on or within the drill pipe at different depths of the wellbore. The method includes determining a first pressure gradient between measured pressures measured by a first pair of pressure sensors of the number of pressure sensors and determining a second pressure gradient between measured pressures measured by a second pair of pressure sensors of the number of pressure sensors. The method includes determining a pressure gradient change based on a difference between the first pressure gradient and the second pressure gradient; and identifying that a downhole condition has occurred based, at least in part, on pressure gradient change.

Abstract: The present invention provides to a processing of data samples by an arrangement comprising a signal processing chip for executing predetermined operations and a processor for executing any kind of software code. In particular, it is not only possible that the general purpose processor, which executes the software code can process results from the signal processing chip, but also the signal processing chip can receive the results of the general purpose processor for applying further operations. In this way, the flexibility and efficiency of the processing can be further improved.

Abstract: A method and a system for converting a variable delay in real number modeling code to cycle-driven simulation interface event for digital/mixed signal emulation is provided. The method comprises identifying a variable delay of an analog signal in real number modeling code defining an analog circuit; determining a frequency and a maximum number of cycles for a series of discrete clock cycles, wherein the variable delay corresponds to one cycle in the series of discrete clock cycles; converting the variable delay into a plurality of cycle-driven discrete events based on the series of discrete clock cycles; and generating synthesizable code based on the plurality of cycle-driven discrete events for digital mixed signal emulation. A system and a non-transitory computer readable medium to perform the above method are also provided.

Abstract: A design engine is configured to interact with potential occupants of a structure in order to generate data that defines the usage preferences of those occupants. The design engine generates multiple candidate designs for the structure via a generative design process, and then evaluates each candidate design using a set of metrics determined relative to the usage preferences. Based on these evaluations, the design engine selects at least one candidate design that optimizes the set of metrics across all potential occupants.

Abstract: A method of generating a digital twin and of using the digital twin to predict activity of an animate subject. The digital twin is generated from at least system model data and movement data. The digital twin can be activated to simulate a specified activity that the subject is performing or will perform. If desired, the subject can be instructed to perform the same activity while wearing at least one wearable sensor, which is applied to the digital twin. Using artificial intelligence techniques, the activity simulation predicts one or more physical outcomes from the activity.

Abstract: Systems and methods for operating an energy plant are disclosed herein. A time series of performance variable associated with a device in the energy plant is obtained. An auto-correlation function data of the device is obtained based on the time series of the performance variable associated with the device. An electronic model of the device is generated based on the auto-correlation function data. Time, at which a future event of the device is predicted to occur, is predicted based on the electronic model. A report indicating the future event of the device and the predicted time may be generated. The device may be automatically configured, according to the future event and the predicted time.

Abstract: In this disclosure, quantum algorithms are presented for simulating Hamiltonian time-evolution e?i(A+B)t in the interaction picture of quantum mechanics on a quantum computer. The interaction picture is a known analytical tool for separating dynamical effects due to trivial free-evolution A from those due to interactions B. This is especially useful when the energy-scale of the trivial component is dominant, but of little interest. Whereas state-of-art simulation algorithms scale with the energy ?A+B???A?+?B? of the full Hamiltonian, embodiments of the disclosed approach generally scale linearly with the sum of the Hamiltonian coefficients from the low-energy component B and poly-logarithmically with those from A.

Abstract: Systems and methods are provided for preparation of orthodontics and prosthodontics. A method may include scanning a patient's teeth to form first 3D data of the patient's teeth including a removable element that obscures part of the dental surfaces of the patient's teeth and non-obscured tooth surfaces, removing the removable element form the patient's teeth so that the removable element no longer obscures the part of the dental surfaces of the patient's teeth, and scanning the previously obscured part of the dental surfaces of the patent's teeth and the non-obscured tooth surfaces.

Abstract: A method of augmenting reality of an image, comprising providing a lenticular lens for viewing an image, wherein the image is a lenticular image comprising at least two interlaced images. At least two fiducial markers are provided in the image. A first sensor located at a first distance from the image detects a first fiducial marker, and a second sensor located at a second distance from the image detects a second fiducial marker, wherein the detection of the each of the first and the second fiducial markers triggers a computing process delivering augmented reality to a user via a screen. The second distance is closer to the image than the first distance, and the second fiducial marker is capable of being detected by the second sensor from the second distance, but not from the first distance.

Abstract: A representation of an initial design domain, at least one subtractive tool assembly, machine degrees of freedom, and a termination criterion are used to iteratively generate intermediate part designs by redistributing the material within the design domain. A measure of inaccessibility of exteriors of the intermediate part designs by the at least one subtractive manufacturing tool assembly are generated. The measure of inaccessibility is used to inform generation of an intermediate part design at a next iteration. The iterative algorithm is terminated when the termination criterion is satisfied, the result of the iterative algorithm being a part design accessible for subtractive manufacturing.