Abstract: Systems and methods for optimizing processor requirements for a complex hardware system are disclosed. A set of complex hardware system configuration constraints are formulated as an objective function and a set of linear inequalities, and a convex polytope is formed from the set of linear inequalities. The objective function is optimized over the convex polytope using mixed integer linear programming means to obtain an optimal solution. Processor requirements for the complex hardware system are determined based on the optimal solution.

Abstract: A system and method for determining fluid flow of compressible and non-compressible liquids is described. The system may include input means for receiving a model of an object defined as a plurality of cells having a plurality of nodes P, and a processor coupled to a memory. The processor may be configured for: discretizing a partial differential equation (PDE) corresponding to the received model; for each node P: (i) locating all neighbouring cells that share the node P; (ii) grouping all of the neighbouring cells to form one larger cell having a common vertex at node P; (iii) approximating the PDE at the common vertex at node P using the discretized PDE; and iteratively updating the solution for all the nodes P from an initial guess until a convergence criterion is satisfied.

Abstract: Three-dimensional visualization of biomedical datasets in an immersive visual environment includes creating a finite element mesh patient specific three-dimensional mode. Points from the finite element mesh are removed to produce a refined patient specific three-dimensional model. The three-dimensional model and simulation are interpolated onto a uniform rectilinear grid. The refined patient specific three-dimensional model and the simulation data are transformed to a scale of the IVE. The refined patient specific three-dimensional model and the simulation data are presented within the IVE with a three-dimensional visualization system.

Abstract: A data processing method for determining a position of at least two body parts relative to one another, which at least two body parts are connected to one another by at least one joint, the method being executed by a computer and comprising acquiring initial body part position transformation data comprising initial body part position transformation information describing an initial transformation between positions of the at least two body parts in a predetermined pose of the at least two body parts; acquiring alteration transformation data comprising alteration transformation information describing a transformation between a position of a first alteration part of at least one first body part of the at least two body parts, which first alteration part represents a first virtual anatomical alteration to the at least one first body part, and a position of an anatomically unaltered part of the at least one first body part; determining, based on the initial body part position transformation data and the alteration

Abstract: Provided is a method that is useful for accurately setting a rubber material model for a simulation from an actual rubber material and obtaining a high-accuracy calculation result. A method for simulating a rubber material containing a filler comprises a measurement step (S1) for measuring scattering data relating to x-rays and/or neutron in the rubber material, a visualization step (S2) for specifying the three-dimensional structure of the filler in the rubber material through a reverse Monte Carlo method from the scattering data, model setting steps (S3 to S6) for setting a rubber material model on the basis of the three-dimensional structure of the filler, and a step for performing a deformation simulation on the basis of the rubber material model, wherein in the measurement step, obtaining the scattering data with a scattering vector (q) within the range of 10?4 nm?1 to 10 nm?1.

Abstract: A system and method of accelerating sparse matrix operations in full accuracy simulation of a circuit includes determining repetitive blocks of the circuit, determining a set of values of a current block, determining whether the state of the current block is sufficiently close to the state of a stored block solution when the corresponding values are within a predetermined error range, and performing a reduced computation using the stored block solution to provide a solution for the current block when the states are sufficiently close to each other. The reduced computation includes retrieving previously stored solutions and performing substantially simplified matrix and vector operations while maintaining accuracy of the solution. Reduced precision versions of the values may be used to generate a hash index used to store the block solutions. Stored redundant device information may also be used to simplify device solutions in a similar manner.

Abstract: A method for determining a dose of radiation input into an object irradiated with an energetic particle beam includes determining, during the application of the radiation, a dose input into at least one volume region of the object. The at least one volume region of the object lies outside a target volume region. The dose input into the at least one volume region is determined with a calculation that is based at least in part on a physical model of the energetic particle beam.

Abstract: A method of developing a petroleum reservoir, wherein a facies map representative of the reservoir is constructed from petrophysical property maps. A grid cell visiting order is defined by selecting the visiting order that first passes through the cells where the facies are the most discriminated. Then, in each cell i, according to the visiting order, and for various facies values k, the likelihood defined by the probability of obtaining in cell i the values of observed petrophysical properties is calculated, knowing that the facies in cell i is facies k, and knowing on the one hand already identified facies values V*<i and, the values of the petrophysical properties of the previously visited cells. The facies value that maximizes the likelihood in cell i is associated with each cell i of the grid.

Abstract: Data clustering is provided according to a dynamical framework based on quantum mechanical time evolution of states corresponding to data points. To expedite computations, we can approximate the time-dependent Hamiltonian formalism by a truncated calculation within a set of Gaussian wave-functions (coherent states) centered around the original points. This allows for analytic evaluation of the time evolution of all such states, opening up the possibility of exploration of relationships among data-points through observation of varying dynamical-distances among points and convergence of points into clusters. This formalism may be further supplemented by preprocessing, such as dimensional reduction through singular value decomposition and/or feature filtering.

Abstract: A processing system, method, and program for a modeling system. A math equation including a differential equation is prepared. A CAS solves the differential equation normally and by using an interval coefficient in accordance with an interval analysis technique. A coefficient vector of the two solutions are compared to determine if a distance between the vectors is equal to or less than a preset value, and if so, the CAS solves the math equation including a differential equation with the target coefficient set to zero. The coefficient vectors of the solution thus obtained and the normally solved solution are compared to determine if the distance between the vectors is equal to or less than a preset value, and if so, the differential equation is simplified by omitting a term of the target coefficient from the differential equation.

Abstract: A method of forming a failure estimate for one or more components of a heat recovery steam generator (HRSG) includes forming from failure models and at least one of fired hours and fired starts, factored hours and factored starts. The factored hours and/or starts are applied to failure equations for the one or more components to form the failure estimate.

Abstract: A computer-implemented system for designing a fire protection and/or piping system comprising a personal computer for loading programs into dynamic memory and storing data on a static memory device, means for providing user input, and program files comprising a process algorithm, traversing algorithm, and tagging algorithm. The process algorithm performs data validation, error checking and error resolution, saves data to a start point inserted by a user, pulls layer details into programming variables, applies processing logic to the system, and comprises a main pipes algorithm and a branch resizing algorithm. The traversing algorithm travels the system and presents objects to the process, main pipes and branch resizing algorithms in a logical order. The tagging algorithm attaches to each pipe in the system a tag with property set data pulled into and displayed in the tag. A method of using the foregoing system to design a fire protection and/or piping system.

Abstract: Systems and methods for populating a design model for engineering, design, and construction projects are described. The design model contains a 3D representation of an assembled structure. Each structural component within the assembled structure has a set of physical attributes that are electronically stored as design model objects. Additional information about each structural component is electronically supplied by a detailer as detailing model objects. The detailing model objects are imported into the design model using a utility tool. The utility tool comprises a processor and executable code that is configured to: (i) correlate the design and detailing model objects; and (ii) recommend to a user which detailing objects should be imported into the design model. The utility tool correlates physical attributes (e.g., location, section size, section type) rather than unique identification numbers, thus allowing the design model to be populated without relying on identification numbers.

Abstract: This invention belongs to the technical field of quantitative structure-activity relationship (QSAR) for chemical persistent assessment, relating to a method for predicting reaction rate constants of organic chemicals with ozone (kO3) at different temperatures. To assess the persistence and fate of organic chemicals in the troposphere, kO3 are needed. This invention developed a QSAR model for the prediction of kO3 at different temperatures, based on quantum chemical descriptors, Dragon descriptors and structural fragments. The developed model was evaluated by internal and external validations, and it's high robustness and good predictability was evidenced. The applicability domain of this model was visualized by Williams plot.

Abstract: Methods and apparatus are provided for non-linear modeling of a physical system using two-dimensional look-up tables with bilinear interpolation. A non-linear function is evaluated for a complex input value by obtaining a two-dimensional (2D) look-up table with bilinear interpolation that represents the non-linear function; obtaining four points from the 2D look-up table that are in a vicinity of the complex input value; and generating a complex output value comprised of a bilinear combination of the four points. The non-linear function characterizes, for example, a power amplifier or an inverse of a power amplifier and the 2D look-up tables can be used, for example, to implement digital pre-distortion. The 2D look-up tables with bilinear interpolation can be used in a processor instruction as part of an instruction set of one or more of a scalar processor and a vector processor.

Abstract: A method and apparatus for simulating radio frequency propagation paths between radio frequency devices are provided. In an illustrative embodiment, the apparatus comprising a system controller for receiving and processing test data, a data sequencer configured to interact with attenuators and RF devices, and RF paths designed to simulate RF propagation paths. The method comprising steps to execute a full simulation.

Abstract: A method includes receiving a representation of a spun tool and receiving a path for the spun tool. The method also includes calculating a profile of the spun tool and simulating movement of the spun tool over the path. The method includes determining critical positions along the path at which the composition of the profile of the spun tool changes based on the path, and re-calculating the composition of the profile of the spun tool for each side of a critical position. The method further includes re-calculating the shape of the profile of the spun tool at non-critical positions of the path. The method further includes determining a volume defined by moving the spun tool along the path between a first critical position and a second critical position, changing the profile of the spun tool at each critical position, and calculating a total volume based on the path.

Abstract: Methods and apparatus are provided for non-linear modeling of a physical system using look-up tables with polynomial interpolation. A non-linear function is evaluated for a complex input value by obtaining at least one look-up table with polynomial interpolation that represents the non-linear function, wherein entries in the look-up table comprise polynomial coefficients of at least degree two for different segments of the non-linear function; obtaining a point from the look-up table that is near a magnitude of the complex input value; and generating a complex output value by evaluating the polynomial coefficients at the point to perform a Taylor Series expansion from said point. The non-linear function characterizes, for example, a power amplifier or an inverse of a power amplifier and the look-up tables can be used, for example, to implement digital pre-distortion.

Abstract: Techniques for non-linear modeling of a physical system are provided using direct optimization of look-up table values. A non-linear system with memory is modeled by obtaining physical data for the non-linear system by applying a set of input samples x(n) to the non-linear system and measuring an output y(n) of the non-linear system; directly computing parameters ? of a memory model for the non-linear system from the physical data, wherein the memory model comprises one or more look-up tables having linear interpolation and wherein the parameters ? produce a substantially minimum mean square error; and providing the parameters ? for storage as entries in the one or more look-up tables. The mean square error can be determined, for example, using one or more of a least squares algorithm, a least mean square algorithm and a recursive least squares algorithm. The look-up tables are optionally used in a processor instruction to implement digital pre-distortion.

Abstract: A method and apparatus capable of monitoring performance of a process and of the condition of equipment units effecting such process is disclosed. A process model predicated upon mass and energy balancing is developed on the basis of a plurality of generally nonlinear models of the equipment units. At least one or more of such equipment models are characterized by one or more adjustable maintenance parameters. Data relating to mass and energy transfer within the process is collected and is reconciled with the mass and energy characteristics of the process predicted by the model. The condition of the equipment units and process performance may then be inferred by monitoring the values of the maintenance parameters over successive data reconciliation operations.

Abstract: A method converts a plurality of functional blocks into linear blocks such that the nonlinear blocks are divided into a plurality of states through switched linearization. The plurality of states generated by said switched linearization is then transitioned selectively based on a predetermined operational scenario. Each state is then tested separately to ensure that implementation of the states are safe. A first guard block is provided when a state is deemed unsafe such that the first guard block is enabled to cause a system shutdown so as to prevent further processing that can cause an unsafe result.

Abstract: A device for monitoring operation of a plurality of system assets includes a storage device configured to store a model of a plurality of system assets, wherein the model includes a plurality of asset images associated with the system assets, and a plurality of component connections representative of a plurality of conduits coupled to the system assets. The device also includes a processor coupled to the storage device. The processor is configured to display the plurality of asset images and to display the plurality of component connections. The processor is also configured to select an asset image, display a status of a system asset associated with the selected asset image, and automatically display a representation of at least one of a process flow entering the system asset and a process flow exiting the system asset when the asset image is selected.

Abstract: There is provided a consumption energy calculating device which simulates power consumption of a heating and cooling appliance operated by a customer living in a house. A first receiver and a second receiver receive a demand response signal and an external environmental factor parameter. A pain level model shows a relationship between an indoor air temperature and a pain level. A first calculator calculates, when the appliance is not in operation, the indoor air temperature of a next sample time. A second calculator calculates, when the appliance is in operation, determines the indoor air temperature of the next sample time. A working sequence generator determines whether the appliance is or not to be operated during the next sample time. The power consumption determination unit determines power consumption consumed by the appliance before the next sample time and outputs data showing the power consumption.

Abstract: A set of parameters used in a model of a spectrometer includes free parameters and fixed parameters. A first set of values for the parameters is set and the model is used to generate a first spectrum. A value of one of the fixed parameters is changed and a second spectrum is generated. An inverse of the model of the spectrometer is then applied to the second spectrum to generate a set of values for the parameters, the values being the same as the first set of values except for one or more of the free parameters. If the free parameter has significantly changed the fixed parameter is designated a free parameter.

Abstract: The present invention relates to a method, a device and a computer program product for determining an electromagnetic near-field of a field excitation source of an electrical system. The method includes defining electrical and magnetic properties of the system, defining a field excitation source, determining electromagnetic near-field components by solving Maxwell's equations of the near-field, where each near-field component of each partition is represented by a linear position of M orthogonal ansatz functions weighted with field coefficients, whereby spatial and/or time derivatives of the near-field component are determined as a linear position of these ansatz functions weighted with derivative coefficients, which can be determined from the field coefficients and the derivative coefficients, so that the determination effort rises linearly with the complexity of the electrical system.

Abstract: According to an aspect, a computer implemented method includes: accepting a set of user input composite material properties, including a composite modulus in a first direction, a composite modulus in a second direction normal to the first direction, a composite shear modulus in a plane that includes the first direction and the second direction, and a composite Poisson ratio in a plane that includes the first direction and the second direction; accepting a user input composite microstructure; and automatically compute adjusted material properties of all constituents of the composite material, wherein a set of consistent fixed constituent property constraints are utilized to obtain the adjusted material property.

Abstract: A method for carrying out a calculation of a data-based function model, in particular a Gaussian process model, the data-based function model being defined by predefined hyperparameters and node data, multiple input variables being assigned to one output variable and having a sum of terms, each of which depend on one of the input variables, including the following: determining at least one input variable to be varied, for which multiple output values of a corresponding output variable are to be determined; calculating the sum of the terms, which depend on the input variables not to be varied; providing multiple input values for each of the determined at least one input variable to be varied; and ascertaining multiple output values of the output variable for the provided multiple input values, each based on the calculated sum of the terms, which depend on the input variables not to be varied.

Abstract: A method of combinatorial optimization includes: (1) defining an objective function to optimize a combination of N input parameters of a complex system, wherein the objective function includes a weighted sum of n different optimization criteria, N?2, and n?2; (2) applying an initial combination of the N input parameters to the complex system to yield an initial output response; (3) executing an optimization procedure to generate an updated combination of the N input parameters, wherein executing the optimization procedure includes calculating an initial value of the objective function based on at least one of (a) the initial combination of the N input parameters and (b) the initial output response; and (4) applying the updated combination of the N input parameters to the complex system to yield an updated output response.

Abstract: An analysis device includes a unit cell acquisition unit configured to acquire a unit cell under a period boundary condition reflecting symmetry of an object to be analyzed, a unit particle system acquisition unit configured to acquire a unit particle system including a plurality of unit particles in the unit cell acquired by the unit cell acquisition unit, and a numerical computation unit configured to numerically compute a governing equation, which governs the motion of each unit particle of the unit particle system acquired by the unit particle system acquisition unit, under the period boundary condition. The numerical computation unit moves the boundary of the unit cell to simulate the movement of the object to be analyzed during computation.

Abstract: A simulation method for a macromolecular material comprises: a first calculation process for computing a Rouse parameter of a coarse-grained model; a second calculation process for computing a Rouse parameter of the a all-atom model; and a convert process for converting a unit system employed in a molecular dynamics calculation made by the use of the coarse-grained model into a unit system employed in the macromolecular chain, based on the Rouse parameter of the coarse-grained model and the Rouse parameter of the all-atom model.

Abstract: A method for carrying out a calculation of a data-based function model in a control unit having a computing unit and a separate model calculation unit having a computing core, including: loading a first part of the configuration data, which contain hyperparameters of the data-based function model and a first part of supporting point data having multiple supporting points, into the model calculation unit; starting a calculation in the computing core of the model calculation unit, to obtain a model value at a predefined test point; and transferring a second part of the configuration data, which contain a second part of the supporting point data having multiple supporting points, into the model calculation unit, prior to the completion of the calculation in the computing core of the model calculation unit.

Abstract: Methods of selecting spectral elements and system components for a multivariate optical analysis system include providing spectral calibration data for a sample of interest; identifying a plurality of combinations of system components; modeling performance of a pilot system with one of the combinations of system components; determining optimal characteristics of the pilot system; and selecting optimal system components from among the combinations of system components.

Abstract: This specification describes systems, methods, and software relating to geomechanical modeling of a subterranean region (104). In some aspects, finite difference (FD) grid data (200a) and finite element (FE) mesh data (202a) are received. The FD grid data include FD grid node locations (210) and FD grid values. The FD grid values include values of a subterranean formation property for each FD grid node location. The FE mesh data include FE mesh node locations (212) and spatial domains (214) for each of the FE mesh node locations. Values of the subterranean formation property are generated for each of the FE mesh node locations. The value for a given FE mesh node location is generated based on the FD grid values for FD grid node locations within the spatial domain about the given FE mesh node location. The generated values are assigned to the FE mesh node locations of the FE mesh data (202b) for geomechanical modeling of the subterranean region.

Abstract: Using an equipment-classified processing results database, an intercept satisfying a second predetermined condition is derived from intercepts of straight lines that pass through a reference co-ordinate point, which satisfies a first predetermined condition, and respective co-ordinate points in a region bounded by: a line that passes through the reference co-ordinate point and is parallel to an x-axis representing wafer counts X; a y-axis representing processing durations Y; and a line passing through the reference co-ordinate point and the origin. Of co-ordinate points represented by an equipment and recipe-classified processing results database, a gradient satisfying a third predetermined condition is derived from gradients of lines that pass through the derived intercept and each of all co-ordinate points with wafer counts X at or above a predetermined number. A processing duration is derived using a regression equation into which the derived intercept and the derived gradient are substituted.

Abstract: In one embodiment of the invention, a design verifier is disclosed including a model extractor and a bounded model checker having an arithmetic satisfiability solver. The arithmetic satisfiability solver searches for a solution in the form of a numeric assignment of numbers to variables that satisfies each and every one of the one or more numeric formulas. Conflict in the search, results in the deduction of one or more new numeric formulas that serve to guide the search toward a solution. If the search finds a numeric assignment that satisfies each and every one of the one or more numeric formulas, it indicates that a functional property of the system is violated.

Abstract: Systems and methods for modeling wellbore trajectories using curvature bridging functions. The systems and methods use a clothoid spiral as a bridging curve in the transition zones to reduce tubular stresses/failures in the design of multilateral well paths and extended reach well paths.

Abstract: A method of ocean property forecasting. The method includes generating one of a magnetic field prediction and an electric field prediction between a first observation point and a plurality of uniform ocean cells by generating a vector sum of magnetic field contributions from a plurality of magnetic field vectors and a vector sum of electric field contributions from a plurality of electric field vectors, respectively. The method further includes generating one of a magnetic field forecast and an electric field forecast of the ocean volume at a second observation point in the ocean volume by re-using the magnetic field vectors and electric field vectors and scaling one of the plurality of magnetic field vectors and the plurality of electric field vectors by a plurality of tri-axial equivalent electrical currents with identical geometry to the first observation point.

Abstract: Graphical programming or modeling environments in which a preview window of an object is provided are disclosed. The preview window may be provided when the pointer of a pointing device hovers over an object and automatically disappear when the pointer of the pointing device is placed out of a predetermined region relating to the object. The object can be hierarchical so that the object includes a subsystem. Another preview window may be provided when the pointer of the pointing device hovers over the subsystem and automatically disappear when the pointer of the pointing device is placed out of a predetermined region relating to the subsystem. The subsystem of the object may also include another subsystem.

Abstract: A method for improving the prediction of polymer properties and a system having improved polymer property prediction capabilities is provided. The method for improving the prediction of polymer properties comprises: (1) providing a polymer; (2) providing a prediction model; (3) utilizing said prediction model to define an average polymer property prediction value; (4) determining a feasible range; (5) measuring one or more properties of said polymer; (6) determining whether said one or measured polymer properties are within said feasible range: (7) validating said one or more measured polymer properties if said one or more measured polymer properties fall within the feasible range or invalidating said one or more measured polymer properties if said one or more measured polymer properties fall outside of the feasible range; (8) optionally updating said prediction model; (9) repeating said previous steps at least one or more times; and (10) thereby improving the prediction of polymer properties.

Abstract: A method of developing a petroleum reservoir from a reservoir model constrained by the production data and seismic attributes. Production data and seismic data are acquired during the development of the reservoir. A first image of a seismic attribute is constructed from the seismic data. Production responses are simulated from a reservoir model using a flow simulator. An image corresponding to the seismic attribute is simulated from the reservoir model. A local dissimilarity map is constructed from the reference seismic attribute image and from the simulated seismic attribute image. The reservoir model is modified to minimize any difference between the measured production data and the corresponding production responses and to minimize local dissimilarities. This model is used to determine an optimal development scheme and the reservoir is developed according to the development scheme.

Abstract: An apparatus, system and method for predictive modeling to design, evaluate and optimize ophthalmic lenses is disclosed. Ophthalmic lenses may include, for example, contacts, glasses or intraocular lenses (IOLs). The apparatus, system and method may include a design tool for designing a lens for implantation in an eye having a plurality of characteristics, a simulator for simulating performance of the lens in at least one modeled eye having the plurality of characteristics, at least one input for receiving clinical performance of the lens in the eye having the plurality of characteristics, a comparator for comparing outcomes of the clinical performance and the simulated performance, and an optimizer for optimizing a subsequent one of the outcome of the clinical performance responsive to modification of the lens in accordance with modification to the simulated performance.

Abstract: A method of controlling relaxation equipment is a method of controlling relaxation equipment capable of changing a biological value of a user. The method includes: obtaining a user model including a transition in biological value within a period from a start time to an end time of a program being viewed by the user; obtaining a first biological value of the user viewing the program; and controlling the relaxation equipment such that the biological value of the user at the end time approximates a second biological value included in the user model, which is a value at the end time, based on the first biological value and the second biological value.

Abstract: An analysis device includes a defined system acquisition unit configured to acquire a system including a plurality of particles defined in a virtual space as a defined system, a numerical computation unit configured to numerically compute a governing equation, and to update the position of each particle, a particle group specification unit configured to specify a particle group, the relative position relationship of which is substantially maintained before and after the position is updated, a system position adjustment unit configured to, when a system obtained is referred to as an updated system, adjust the relative positions of the defined system and the updated system such that the specified particle group and a particle group in the updated system overlap each other, and a position relationship change unit configured to change the relative position relationship between a particle in the defined system and a particle in the updated system.

Abstract: A computer simulation method for a macromolecular material and filler is disclosed, wherein a polymer model of a macromolecular chain of the macromolecular material and a filler model of the filler are defined; and a molecular dynamics calculation is performed using the filler model and the polymer models disposed in a space in order to compute the thickness of an interface layer between the filler and the macromolecular material. To compute the thickness, the space is partitioned into domains bounded by boundary surfaces; relaxation moduli of the domains are computed; and based on a variation of the relaxation moduli of the domains, the thickness of the interface layer is computed.

Abstract: A data processing method for determining six parameters of a contact position of a joint which connects two bones, comprising the steps of acquiring a plurality of sample contact position datasets, each dataset comprising six parameters, acquiring a subset of n of the parameters of the contact position as an input parameter dataset, selecting at least two of the sample contact position datasets based on the input parameter dataset and determining the m=6?n remaining parameters of the contact position based on the at least two selected sample contact position datasets.

Abstract: Methods and systems for numerically simulating structural behaviors of a product using explicit FEA with a combined technique of subcycling and mass scaling are disclosed. A FEA model representing a product and a minimum time step size (?tmin) for a time-marching simulation of the product are specified. N element groups is established with the first element group associated with ?tmin as required minimum time step size, while other element groups with integer multiples of ?tmin according to formula ?ti=2i-1?tmin, n=1, 2, . . . , N. Finite elements are periodically resorted into N element groups based on their new respective ?tcr. To ensure all finite elements in the FEA model are processed at the user specified minimum time step size, proper amount of mass scaling is applied to those finite elements that are or have become too small to maintain a stable solution in the first element group.

Abstract: A method of improving a geologic model of a subsurface region. One or more sets of parameter values are selected. Each parameter represents a geologic property. A cost and a gradient of the cost are obtained for each set. A geometric approximation of a parameter space defined by one or more formations is constructed. A response surface model is generated expressing the cost and gradient associated with each formation. When a finishing condition is not satisfied, at least one additional set is selected based at least in part on the response surface model associated with previously selected sets. Parts of the method are repeated using successively selected additional sets to update the approximation and the response surface model until the finishing condition is satisfied. Sets having a predetermined level of cost to a geologic model of the subsurface region and/or their associated predicted outcomes are outputted to update the geologic model.

Abstract: A system for recommending a sensitive make-up based on skin tone of a user, includes an avatar creator for creating an avatar image using skin information obtained by scanning user's body. Further, the sensitive make-up recommending system includes a cosmetics information processor for generating analysis information by analyzing a plurality of cosmetics and then storing the generated information in a database. Furthermore, the sensitive make-up recommending system includes a simulator for displaying results of performing a make-up simulation to the avatar image based on the analysis information on certain cosmetics selected by the user and the skin information.

Abstract: An embodiment of an apparatus includes a simulator and a determiner. The a simulator is configured to simulate a system and to propagate at least one state of the simulated system through time in response to a value of a parameter, and the determiner is configured to determine a next value of the parameter in response to a characteristic of another state of the model and a representation of at least one level set.

Abstract: The present invention is concerned with a process for forming a very well defined pattern of particulate material in a composite material comprising a web material and particulate absorbent material. The present invention relates also to a method for determining the equipment design and process parameter for such a process. In a particular application, the present invention provides a process for preparing liquid absorbent structures, such as may be useful for disposable absorbent articles.