407 results about "Mathematical relationship" patented technology

A method for collecting optical data at two morphologically similar, substantially non-overlapping, and preferably adjacent, areas on the surface of a tissue, while the temperature in each area is being maintained or modulated according to a temperature program. The optical data obtained are inserted into a mathematical relationship, e.g., an algorithm, that can be used to predict a disease state (such as the diabetes mellitus disease state) or the concentration of an analyte for indicating a physical condition (such as blood glucose level). This invention can be used to differentiate between disease status, such as, for example, diabetic and non-diabetic. The method involves the generation of a calibration (or training) set that utilizes the relationship between optical signals emanating from the skin under different thermal stimuli and disease status, e.g., diabetic status, established clinically. This calibration set can be used to predict the disease state of other subjects. Structural changes, as well as circulatory changes, due to a disease state are determined at two morphologically similar, but substantially non-overlapping areas on the surface of human tissue, e.g., the skin of a forearm, with each area being subjected to different temperature modulation programs. In addition to determination of a disease state, this invention can also be used to determine the concentration of an analyte in the tissues. This invention also provides an apparatus for the determination of a disease state, such as diabetes, or concentration of an analyte, such as blood glucose level, by the method of this invention.

A gamma ray logging system and a method of calibrating a detected gamma radiation spectrum. The gamma ray logging system includes a gamma ray detector for detecting gamma radiation, an analyzer for generating a detected gamma radiation spectrum from the detected gamma radiation, and a processor which is configured to perform a calibration of the detected gamma radiation spectrum. The method of calibrating the detected gamma radiation spectrum includes selecting at least two data points from the detected gamma radiation spectrum, determining a mathematical relationship from the selected data points, and using the mathematical relationship to generate a calibrated gamma radiation spectrum from the detected gamma radiation spectrum.

A method and system for calibrating an analog sensor used in a digital measurement system is provided. The design comprises generating a precise pressure value set at multiple calibration points and supplying said precise pressure value set to an uncalibrated pressure sensor, detecting sensor changes for the uncalibrated pressure sensor based on each precise pressure value generated, polling an actual pressure reading associated with a sensor change for the uncalibrated pressure sensor for each calibration point, and establishing a mathematical relationship between measured value readings and actual pressure for the uncalibrated sensor. Establishing the mathematical relationship converts the uncalibrated sensor to a newly calibrated sensor. A known good sensor may be employed to enhance calibration reliability.

A system for providing an intraocular lens includes a processor and a computer readable memory. The computer readable memory is configured to communicate with the processor, the memory having stored therein at least one of: one or more ocular dimensions, and at least one predetermined refractive outcome. The memory further includes a sequence of instructions which, when executed by the processor, cause the processor to select an intraocular lens, select a power of an intraocular lens, or provide an intraocular lens. The sequence of instructions includes determining one or more dimensions of an eye. The instructions also include calculating, based on a mathematical relationship, a distance from an apex of a cornea of the eye to an apex or plane of the intraocular lens after insertion into the eye. The instructions further calculating an optical power of the intraocular lens suitable for providing a predetermined refractive outcome. The mathematical relationship includes an axial length of the eye, an anterior chamber depth of the natural crystalline lens, and a corneal radius of the eye, but is independent of a thickness of the natural crystalline lens.

A torque tool and an associated method are provided which apply operator-defined levels of torque to a threaded fastener. In one aspect, a portable, battery powered torque tool controls the motor to slow further advancement of the threaded fastener once the torque that has been applied to the threaded fastener has reached a predefined threshold. In another aspect, a torque tool monitors a measure of torque applied to a threaded fastener more frequently once the torque applied to the threaded fastener has reached a predefined threshold. A method of defining a mathematical relationship between a first measure provided by a torque transducer of torque applied to a threaded fastener and a second measure provided by a torque measurement reference device of torque applied to the threaded fastener is also provided such that the measure of torque provided by the torque transducer can be calibrated.

Computer modeling of interactions between and among cortico and subcortical areas of the human brain, for example in a normal and a pathological state resembling schizophrenia which pathological state has inputs representing the effects of a drug(s), for the purpose of using the outputs to predict the effect of drugs in psychiatric and cognitive diseases on one or more clinical scales. Diseases that can be modeled include psychiatric disorders, such as schizophrenia, bipolar disorder, major depression, ADHD, autism, obsessive-compulsive disorder, substance abuse and cognitive deficits therein and neurological disorders such as Alzheimer's disease, Mild Cognitive impairment, Parkinson's disease, stroke, vascular dementia, Huntington's disease, epilepsy and Down syndrome. The computer model preferably uses the biological state of interactions between and among cortico and subcortical areas of the human brain, to define the biological processes related to the biological state of the generic synapse model, the striatum, Locus Coeruleus, Dorsal raphe, hippocampus, amygdala and cortex, as well as certain mathematical relationships related to interactions among biological variables associated with the biological processes.

Optical character recognition systems and methods including the steps of: capturing an image of a document including a set of numbers having a defined mathematical relationship; analyzing the image to determine line segments; analyzing each line segment to determine one or more character segments; analyzing each character segment to determine possible interpretations, each interpretation having an associated predicted probability of being accurate; forming a weighted finite state transducer for each interpretation, wherein the weights are based on the predicted probabilities; combining the weighted finite state transducer for each interpretation into a document model weighted finite state transducer that encodes the defined mathematical relationship; searching the document model weighted finite state transducer for the lowest weight path, which is an interpretation of the document that is most likely to accurately represent the document; and outputting an optical character recognition version of the captured image.

The invention discloses a real-time high-precision detection method and system for a bolt pre-tightening force based on a piezoelectric ultrasonic wafer. The piezoelectric ultrasonic chip is used as an ultrasonic excitation source to be attached to a bolt head, and a high-precision fitting relationship between an ultrasonic flight time difference and the bolt pre-tightening force is established byusing the change law of an ultrasonic single-wave time difference with the stress value; and real-time detection of the bolt pre-tightening force is achieved by using the mathematical relationship. Compared with the prior method using the ultrasonic probe, the method provided by the invention eliminates the error caused by the uncertainty of the thickness of the coupling agent, and further improves the measurement accuracy by using the single-wave time difference. Low-error-rate measurement of the bolt pre-tightening force is achieved at low cost and without influencing the structural performance.

The method comprises the steps consisting in assuming that the gain of at least one injector is equal to a theoretical gain or an updated gain, and in replacing each of at least one reference injection of injection control duration controlled by the engine control unit in application of a stored characteristic, with a multiple injection comprising a succession of at least two injections of injection control durations that are assumed to cause the same mass of fuel to be injected as by the replaced reference injection, in determining the fuel mass difference between the reference injection and the multiple injection, in deducing therefrom an error in determining the characteristic, and in modifying the gain and / or the offset of the linear zone of the initial characteristic or at least a table or mathematical relationship for the non-linear zone of said characteristic, so as to compensate the error, and storing the new characteristic as determined in this way. Applications to real time determination as a function of the injection control duration of the flow rate characteristic of fuel injectors for internal combustion engines fed by injection.

There are many inventions described and illustrated herein. In one aspect, the present inventions relate to oscillator systems which employ a plurality of microelectromechanical resonating structures, and methods to control and / or operate same. The oscillator systems are configured to provide and / or generate one or more output signals having a predetermined frequency over temperature, for example, (1) an output signal having a substantially stable frequency over a given / predetermined range of operating temperatures, (2) an output signal having a frequency that is dependent on the operating temperature from which the operating temperature may be determined (for example, an estimated operating temperature based on a empirical data and / or a mathematical relationship), and / or (3) an output signal that is relatively stable over a range of temperatures (for example, a predetermined operating temperature range) and is “shaped” to have a desired turn-over frequency.

Roughly described, standard SPICE models can be modified by substituting a different stress analyzer to better model the stress adjusted characteristics of a transistor. A first, standard, stress-sensitive, transistor model is used to develop a mathematical relationship between the first transistor performance measure and one or more instance parameters that are available as inputs to a second, stress-insensitive, transistor model. The second transistor model may for example be the same as the first model, with its stress sensitivity disabled. Thereafter, a substitute stress analyzer can be used to determine a stress-adjusted value for the first performance measure, and the mathematical relationship can be used to convert that value into specific values for the one or more instance parameters. These values are then provided to the second transistor model for use in simulating the characteristics of the particular transistor during circuit simulation.

The invention discloses a multifunctional true triaxial rock drilling test system and a test method for characterizing the characteristics of rocks. According to the method, a test piece is drilled for several times to obtain different rock cores, then the rock cores are subjected to single axial tests and triaxial tests so as to obtain a plurality of sets of mechanical property parameters; then a true triaxial rock drilling tester that can directly measure the parameters while drilling is used to obtain a plurality of sets of parameters while drilling; a mathematical relationship between the mechanical property parameters and the parameters while drilling can be established, and thus the mechanical property parameters can be obtained only through measuring the parameters while drilling of rocks according to the mathematical relationship. According to the method, a multifunctional true triaxial rock drilling tester is taken as the preset test apparatus; the tester can perform true triaxial loading on a test piece and is capable of simulating the drilling process when a test piece is pressed from three directions in underground engineering; the relationship between the parameters while drilling and mechanical characteristics of rocks under different pressures on a test piece can be established, and the test method comprises specific steps from sample preparation to data processing.

Apparatus for use in analyzing network data, the apparatus including an electronic processing device that determines network data representing a network having a number of nodes and links between the nodes, selects a model in accordance with a data type associated with the network data, the model being indicative of at least one trigger for a behaviour of interest, selected network metrics and a mathematical relationship relating network nodes to the at least one trigger using the selected network metrics and determines at least one trigger associated with the network data, determines the selected metrics for the network data and uses the mathematical relationship, the selected network metrics and the identified at least one trigger to determine predicted nodes, the predicted nodes being nodes predicted to exhibit behaviour of interest.

A method and apparatus for estimating a porosity and a saturation in a subsurface reservoir. The method includes determining a plurality of mathematical relationships relating a plurality of fundamental physical parameters that govern elastic wave propagation in the subsurface reservoir to the porosity and the saturation in the subsurface reservoir, forward modeling a plurality of seismic attributes using the mathematical relationships to derive a plurality of conditional probability density functions for the seismic attributes, applying a Bayesian inversion to the conditional probability density functions for the seismic attributes to derive a joint probability density function for the porosity and the saturation in the subsurface reservoir, and integrating the joint probability density function for the porosity and the saturation to derive a probability density function for the porosity and a probability density function for the saturation.

A system and method of controlling airflow within an air delivery system. The method begins by identifying and measuring a particular air conditioning system's blower characteristics. A mathematical relationship for finding a particular CFM based on torque and speed is developed utilizing several discrete airflows within regions or bins within a designated range. The mathematical model is employed by a controller of the air conditioning system for controlling CFM. Additionally, the method may optionally change from an airflow control mode to a blower speed or torque control mode when restrictions are placed upon the air conditioning system.

A circuit employing a plurality of n sensors, the circuit being arranged such that one of a transfer function or output function of the circuit approximates a desired mathematical relationship between a physical property measured by the sensors and the output of the circuit, the one of the transfer function or output function equalling the desired relationship at least 2*n+1 points.

Star branched siloxane compounds suitable as anti-mist additives in the coating of flexible supports are made as the reaction product of:in the presence of a noble metal hydrosilylation catalyst where the ratio between the hydride containing precursor and the vinyl containing precursor is defined by a mathematical relationship between the stoichiometric subscripts of the precursors, (b+d+f-g-h-i) / (((k+m+o)p)q) ranging from 4.59 to 0.25 and where the compound:may be obtained by the following reaction:which compound itself is a star branched siloxane compound useful as an anti-mist additive.

A system contains a laser output measurement circuit used in a laser control system (210). The circuits contain a photodiode (109), sample and hold amplifier (202), IC with synchronizer and delay circuits (206), and an analog to digital converter (204). The circuits measure the laser light output (107) while the laser Module (106) transmits signals. The measurement circuit tracks and stores the laser light output (107) signal using a Photodiode Sensor (109) and with a Sample / hold (202). The methods calculate the value of the laser light output (107) from mathematical relationships, which correlate the light output (107) of the laser Module (106) to the current value of the drive signal (100). Some of the distinguishing features in the present invention are 1) feedback information from the photodiode is obtained in a synchronous manner as a snapshot of the laser performance, and 2) the measurements are precise and calibrated, and 3) no disruption of the signal transmission occurs.

A system and method of controlling airflow within an air delivery system. The method begins by identifying and measuring a particular air conditioning system's blower characteristics. A mathematical relationship for finding a particular CFM based on torque and speed is developed utilizing several discrete airflows within regions or bins within a designated range. The mathematical model is employed by a controller of the air conditioning system for controlling CFM. Additionally, the method may optionally change from an airflow control mode to a blower speed or torque control mode when restrictions are placed upon the air conditioning system.

System and method for the determination of a coagulation parameter comprising a disposable test element and an instrument for evaluation thereof. The coagulation time is determined at a non-standard temperature different from a standard temperature for the respective coagulation parameter, the non-standard temperature being measured by a temperature measurement device of the instrument, the instrument has a non-volatile memory containing data which define a mathematical relationship of coagulation time versus temperature which relationship is independent of the individual patient whose blood is examined, and the coagulation parameter for the standard temperature is calculated from the coagulation time measured at the non-standard temperature, using the mathematical relationship.

A system may measure, store, and recall at least one tactile property of multiple objects. The system may include one or more biomimetic tactile sensors that have mechanical properties and sensor modalities that are similar to those of human fingertips. The system may perform at least one exploratory movement on one of the objects by moving the biomimetic tactile sensors over a surface of the object. The at least one exploratory movement may be of a type that a human would normally perform on the object to discern the at least one tactile property and may have one or more movement parameters. Each of the movement parameters may fall within a range of movement parameters that would normally be exhibited if a human performed the exploratory movement for the at least one tactile property. The system may determine and store a value of the at least one tactile property based on information provided by the biomimetic tactile sensors in response to the exploratory movement. The determining may use an analytical function that specifies a mathematical relationship between the value and the information provided by the biomimetic tactile sensors that is based on physical phenomena, rather than extracted from data sets by an adaptive algorithm. The system may repeat the same exploratory movement performance, the same determining the value using the same analytical function, and the same storing the determined value for each of the other objects.

The invention discloses a micro-grid small signal stability analyzing and parameter coordinated setting method, and belongs to the technical field of power system micro-grid operation and control. The micro-grid small signal stability analyzing and parameter coordinated setting method comprises the steps of establishing micro-grid mathematical models which comprise a network and load small signal model and an inverter small signal model and are in need of parameterized design, determining each parameter of the micro-grid according to the root-locus method and using the parameters as initial values of the particle swarm algorithm, conducting sensitivity analyzing through a characteristic value, determining a leading parameter, determining the value range of all the parameters or the mathematical relationships among all the parameters, solving the constraint conditions in the process by the utilization of the particle swarm algorithm, determining the initial values, the parameters in need of optimization and the constraint conditions, and conducting parameter optimization and coordinated setting by the utilization of the particle swarm algorithm. By means of the micro-grid small signal stability analyzing and parameter coordinated setting method, determining of each parameter can be realized quickly and accurately in a coordinated mode, the complexity of setting the parameters one by one is avoided, and the system is made to be more stable on the basis of small signal stability; target functions and boundary conditions are flexibly adjusted, the working time is greatly shortened and the efficiency is improved.

The present invention provides a dual-frequency phase-shift three-dimensional measurement method and system. The measurement method includes the following steps that: a computer is utilized to generate two sets of phase shift projection fringes with different frequencies, the fringe period of the phase shift projection fringes satisfies an equation that T1=(A+1 / C1)T2, wherein T1 is a low-frequency stripe period, and T2 is a high-frequency stripe period, if an equation that A=[T1 / T2] is satisfied, it is indicated that the greatest integer of the [T1 / T2] is obtained through floor operation, wherein T2 is the integer multiple of C1, wherein C1 is the multiple of a set range to the low-frequency period T1; the projection fringes are projected onto the surface of a measured object; a wrapping phase is solved through four-step phase-shift solution; and an absolute phase is obtained through a determined mathematical relationship, and unwrapping is realized. With the dual-frequency phase-shift three-dimensional measurement method and system provided by the invention adopted, tolerance can be expanded, and the problem of misjudgment on the serial numbers of fringes can be solved.

Systems and methods for evaluating cellular voice call quality are disclosed. In some implementations, training data points are received. Each data point includes a call quality value and values of key performance indicators (KPIs) related to call quality. For each KPI, a linear relationship, having a goodness-of-fit value, between the KPI and the call quality value is determined using the multiple data points. Compulsory KPIs are selected based on the goodness-of-fit values. The training data points are separated into clusters based on the compulsory KPI values and the quality values. For each cluster, a mathematical relationship for calculating the call quality within the cluster is determined based on the one or more compulsory KPIs. A module is generated for predicting the call quality value by combining the determined mathematical relationships.

A product design method includes accessing a defined product design structure. The product design structure includes a number of customer concerns, a number of physical properties associated with components of the product, and a number of relation models. Each customer concern is associated with at least one physical property via at least one mathematical relationship defined in at least one of the relation models. The method also includes receiving a value associated with one or more of the physical properties and calculating (using one or more of the relation models) the effect of the received value associated with the one or more physical properties on one or more of the customer concerns. Furthermore, the method includes displaying the calculated effect on the one or more customer concerns and receiving one or more adjustments of the value associated with one or more of the physical properties to create a desired effect on one or more of the customer concerns.

The invention relates to distributing a request to one a plurality of resources. A request is mapped to a location in mathematical mapping space. Each of the plurality of resources is mapped to a respective location or locations in the mathematical mapping space. The request is allocated to one of the resources based on a mathematical relationship between the request location and the resource location in the mathematical mapping space.