Abstract: In particular embodiments, method, apparatus and system for receiving digital representations of the initial parameters of a dentition; simulating a first orthodontic treatment process on the digital representations of the initial parameters, displaying a set of output results from the simulation of the first orthodontic treatment process, simulating a second orthodontic treatment process on the output results from the simulation of the first orthodontic treatment process, and displaying a set of output results from the simulation of the second orthodontic treatment process are provided.

Abstract: Methods are described for predicting the percentage of latewood and specific gravity of lumber independent of moisture content using image analysis of the lumber surfaces.

Abstract: A laser beam with a wavelength capable of exciting atoms of helium in the metastable state is directed to a generated plasma, and atoms in the metastable state are excited. Absorption amount information representing the amount of laser beam absorbed is acquired, and the density of atoms of helium in the metastable state in the plasma is computed from the absorption amount. The emissions of light from helium gas in the plasma caused by transition from two different excited states to the lower level are measured, and the ratio between the intensities of the emissions is determined. The electron temperature of the produced plasma is computed from the computed density of the atoms of helium gas in the metastable state and the computed emission intensity ratio. With this, the plasma electron temperature can be computed with a relatively high accuracy irrespective of the condition of the plasma atmosphere.

Abstract: A field device for measuring a filling level, a pressure or a density of a medium in a container includes data memory with two memory areas that are separated from one another. First data for safety-critical program modules is stored in the first memory area. Second data for safety-uncritical program modules is stored in the second memory area. The two memory areas are separated from one another. All access to these memory areas is controlled by a memory management unit.

Abstract: A machine system includes a compactor having a frame, at least one compacting element coupled with the frame, and a sensing system configured to output signals including electronic data indicative of a varying response of material within a work area to interaction of the compactor therewith. The machine system further includes an electronic control unit coupled with the sensing system and configured to link the electronic data with location data for the work area, and further configured to assign each one of at least two different compaction targets to different regions of the work area responsive to linking the electronic data with the location data. The machine system may further include a computer readable memory storing a compaction interaction planning algorithm, whereby the electronic control unit determines a compactor interaction plan for navigating the compactor within the work area.

Abstract: Method for subsurface exploration. In one implementation, the method may include receiving a gamma value at a subsurface interface, wherein the gamma value is a ratio of Vp/Vs at the subsurface interface. Vp is the average P wave velocity and Vs is the average S wave velocity. The method may further include receiving a converted wave reflection coefficient at the subsurface interface. The converted wave reflection coefficient is a function of a density contrast at the subsurface interface and a shear velocity contrast at the subsurface interface. The method may further include determining a P wave incident angle such that the converted wave reflection coefficient is a function of substantially only the density contrast at the P wave incident angle. The P wave incident angle is referred to herein as ?. The method may further include calculating the density contrast based on the converted wave reflection coefficient at ?.

Abstract: The invention relates to a method for determining the humidity and/or density of a dielectric material in a resonator that is filled with said material and that contains a transmitter and a receiver. According to said method: the transmitter emits a signal; a resonance curve of the filled resonator is scanned in stages, whereby respective signal intensity values (Ui) are measured at different frequencies (fi); the resonant frequency (frm) and the bandwidth (BWm) are determined for the filled resonator from measured points (fi/Ui); and the humidity (?) and/or density (?) of the material are calculated by solving a second system of equations (G2), containing the resonant frequencies (fr0, frm) and bandwidths (BW0, BWm) of the empty and filled resonators and known calibration coefficients (ar1, ar2, br1, br2, cr1, cr2, abw1, abe2, bbw1, bbw2, cbw1, cbw2) of said resonator. The aim of the invention is to provide a method for determining the humidity independently of the density in a rapid, precise manner.

Abstract: An apparatus and method is presented for controlling the quality of a mass density measurement of a multiphase fluid mixture including a plurality of fluid fractions and a plurality of constituting elements. The method includes the steps of: submitting a measuring pipe to a flux of high energy photons and measuring count rates; determining a mass density of the multiphase fluid mixture based on count rate measurements in a first and second energy windows; determining an electronic density of the multiphase fluid mixture based on count rate measurements in a third energy window; and comparing the electronic density to the mass density of the multiphase fluid mixture.

Abstract: Systems, program product, and methods to estimate and manage flowing fluid characteristics of a fluid stream flowing through a pipeline in real-time, are provided. A system can include a vertically oriented extent of a pipeline for transporting crude oil, a pair of spaced vertically apart sensors or sensor assemblies connected to a bypass line interfaced with or positioned across the vertically oriented extent of the pipeline to obtain pressure and temperature readings of the crude oil flowing through the pipeline, a controller in communication with the pair of sensors or sensor assemblies, and crude oil analysis and management program product stored in the memory of the controller and adapted to determine or estimate density, specific gravity, and API gravity of the crude oil to thereby manage flowing fluid characteristics of the crude oil.

Abstract: A method and apparatus for measuring the size and distribution of particles within a multiphase fluid flowing within a pipe is provided, wherein the apparatus includes at least one metering device for determining at least one of the mixture density of the fluid, the flow rate of the fluid and the dispersion of the fluid, wherein the at least one metering device generates meter data responsive to at least one of the mixture density of the fluid, the flow rate of the fluid and the dispersion of the fluid and a processing device communicated with the at least one metering device, wherein the processing device receives and processes the meter data to generate fluid information responsive to the size and distribution of the particles within the fluid.

Abstract: A recording medium determination apparatus that determines grammage of a recording medium by using an ultrasonic wave includes a transmission unit configured to output an ultrasonic wave having a predetermined frequency, a reception unit configured to receive the ultrasonic wave output from the transmission unit and transmitted through the recording medium and output a received signal, a calculation unit configured to calculate a signal having a peak component according to a cycle of the received signal, and a determination unit configured to determine the grammage of the recording medium based on the signal calculated by the calculation unit.

Abstract: A system, method and software product for defining material properties hierarchically in a finite element analysis of a structure is disclosed. As a material type is created, the type is checked whether it is a root material type. If so, all of the material properties are defined explicitly in the current definition. Otherwise, the parent material type is searched and located first until the traversing finds a root definition. All of the material properties of the parent material type(s) found are read in and stored as the base properties of the material to be created. The material properties explicitly defined in the current definition of the material will either overwrite or add to the base properties. The material properties definition resembles a hierarchical tree: each of the material properties type has a parent material except the root material type which is on the top of the tree.

Abstract: A device for determining the density of a fluid comprises a buoyant body, a spring which engages on the buoyant body and whose elastic deformation is a measure of the buoyancy force of the buoyant body, and a magnet which is designed to sense the elastic deformation of the spring by means of a magnetostrictive position-measuring system. The spring is compressively loaded and, if the buoyancy force of the buoyant body is greater than its weight, said spring acts on the buoyant body underneath its centre of buoyancy. The device is preferably used to determine the density of fuel, a magnetostrictive filling level measuring system which is present in a storage tank for fuel being used.

Abstract: A system and methods for obtaining and processing data requisite for fabrication of a dental restorative prosthesis. A dental temporary is fashioned at a site of patient treatment, and fitted in the patient's mouth. The temporary is then characterized by three-dimensional digital data based on distances measured by means of three-dimensional co-ordinate measuring equipment. The three-dimensional data are transmitted to a fabrication site, where a prosthesis may be fabricated. Additionally, information based upon the three-dimensional digital data characterizing the temporary may also be provided to a dentist at the site of patient treatment. The prosthesis design may be edited prior to fabrication.

Abstract: A method of identifying a material using an x-ray emission characteristic is provided. X-ray data representing a monitored x-ray emission characteristic is obtained from a specimen in response to an incident energy beam. A dataset is also obtained, this comprising composition data of a plurality of materials. The material of the specimen is contained within the dataset. Predicted x-ray data are calculated for each of the materials in the dataset using the composition data. The obtained and the predicted x-ray data are compared and the likely identity of the material of the specimen is determined, based upon the comparison.

Abstract: A toner density is calculated from outputs of light-receiving elements based on a difference between a reflection property of a supporting member and a reflection property of a toner pattern. Light-emitting elements aligned in one direction that is inclined to a sub-direction emit a detection light in such a manner that a distance between adjacent spots falling on the supporting member in a second direction is equal to or smaller than a width of the toner pattern in the second direction. The light-receiving elements receive a reflected light reflected from the supporting member and/or the toner pattern. The light-receiving elements are aligned, opposed to the supporting member, in a one direction corresponding to the light-emitting elements.

Abstract: A detector device of the present invention detects densities of components, such as gasoline and ethanol, contained in mixture fuel even when some water is included in the mixture fuel. The detector device includes a sensor having a pair or electrodes, an electronic device for calculating the densities and a memory device for storing permittivities of pure components including water measured beforehand. Alternating current having two different frequencies f1, f2 is applied to the pair of electrodes immersed in the mixture fuel to detect the permittivities of the mixture fuel under f1 and f2. The two frequencies, f1 and f2, are so chosen that the premittivities of gasoline and ethanol show no change between f1 and f2, while the permittivitiy of water shows a substantial difference between f1 and f2. The electronic device calculates the densities of the components based on permittivities of the mixture fuel detected by the sensor and those of components stored in the memory device.

Abstract: Fouling in the fill portion of a cooling tower is monitored by transmitting radiation through a cooling tower, detecting the amount of radiation that has penetrated the cooling tower, and calculating the density of the fill portion of the cooling tower based on the detected radiation. A higher than expected density indicates the presence of fouling on the fill portion of the cooling tower. A rate of fouling may be established by monitoring the density of the fill portion of the cooling tower over time.

Abstract: There is described a method and device for measurement of the specific density of a gaseous or liquid medium, whereby a pulsed acoustic signal is injected into the measured medium by means of a transmitting transducer, the signal is detected by a receiver transducer, after passing over a measured path, whereupon the acoustic impedance Z is automatically determined in an analytical device by comparison of a curve for the currently measured received signal with reference curves, predetermined for various values of the acoustic impedances stored for each value of the acoustic impedance, whereby the propagation speed c of the acoustic signal in the medium is determined and the density p of the medium is calculated as the quotient from the acoustic impedance Z and the propagation speed c. The method is preferably of application to an ultrasound mass flow measurement device and hence has the advantage that no additional density sensor is required, nevertheless permitting a robust and precise measurement of density.

Abstract: A system and method are disclosed for very accurately determining a value of a substrate doping density in a metal oxide semiconductor device. A plurality of values of threshold voltage of a device under test are measured using a plurality of different values of source to substrate bias voltage. Then a linear relationship is determined between the plurality of values of threshold voltage and a plurality of different values of an expression that is a function of the source to substrate bias voltage and a function of a surface potential of the device. A very accurate value of the substrate doping density is reiteratively calculated from the linear relationship without assuming that the surface potential of the device has a constant value.

Abstract: A method and system for the non-destructive analysis of medical devices uses a confocal Raman microscope and other non-destructive analytical tools to assess the spatial distribution of components of an object such as the distribution of an active pharmaceutical ingredient (API) within a polymer matrix. In a preferred embodiment, confocal Raman spectroscopy was used to differentiate each component found in the sirolimus-eluting coronary stent. The unique spectral features identified for each component were then used to develop three separate calibration curves to describe the solid phase distribution found on drug-polymer coated stents. The calibration curves were obtained by analyzing confocal Raman spectral depth profiles from a set of 16 unique formulations of drug-polymer coatings sprayed onto stents and planar substrates.

Abstract: A detection apparatus for measuring fluid in a vessel, comprising: at least one processor for receiving, processing and storing data from sensors in the vessel, at least one vertical support disposed within the vessel and at least one pair of sensors connected to the at least one vertical support. The sensors continuously provide measurement data to the processor, wherein the processor synchronously polls measurement data from the sensors, continuously calculates values, and compares the calculated values to at least one predetermined range of values for the fluid in the vessel to identify whether the calculated values are within the predetermined values. The processor communicates the compared value to a data collector.

Abstract: Method for subsurface exploration. In one implementation, the method may include receiving a gamma value at a subsurface interface, wherein the gamma value is a ratio of Vp/Vs at the subsurface interface. Vp is the average P wave velocity and Vs is the average S wave velocity. The method may further include receiving a converted wave reflection coefficient at the subsurface interface. The converted wave reflection coefficient is a function of a density contrast at the subsurface interface and a shear velocity contrast at the subsurface interface. The method may further include determining a P wave incident angle such that the converted wave reflection coefficient is a function of substantially only the density contrast at the P wave incident angle. The P wave incident angle is referred to herein as ?. The method may further include calculating the density contrast based on the converted wave reflection coefficient at ?.

Abstract: Field device for determining and/or monitoring at least one process variable of a medium in a container. The field device includes: at least one mechanically oscillatable unit connected with the container via a process connection; and at least one driver/receiver unit, which excites the mechanically oscillatable unit to oscillate, or detects the oscillations of the mechanically oscillatable unit, as the case may be.

Abstract: The present invention provides a method of online analysis of mineral waste content of a slurry in a mineral separation process, said method including the steps of: measuring the density of said slurry (10); measuring the concentration of solids in said slurry (12); calculating the density of solids in said slurry from said slurry density and said solids concentration (20); and calculating said mineral waste content from said solids density (22). The present invention also provides an online analyser for mineral waste content of a slurry in a mineral separation process.

Abstract: This invention relates to a method and apparatus for mass and/or volume measurements of manufactured articles. More particularly, this invention relates to a method and apparatus for mass and/or volume measurements that can be performed on-line in a part manufacturing process. On-line measurement of the mass or volume of material contained in a specific region of interest of the manufactured items is performed 100% on-line. Real-time process control information is based on real-time measurement of the mass or volume of material contained in a specific region of interest of a manufactured item. Automated quality control inspection for manufactured articles is based on real-time measurement of the mass or volume of material contained in a specific region of interest of manufactured items.

Abstract: The invention relates to a method for determining the humidity and/or density of a dielectric material in a resonator that is filled with said material and that contains a transmitter and a receiver. According to said method: the transmitter emits a signal; a resonance curve of the filled resonator is scanned in stages, whereby respective signal intensity values (Ui) are measured at different frequencies (fi); the resonant frequency (frm) and the bandwidth (BWm) are determined for the filled resonator from measured points (fi/Ui); and the humidity (?) and/or density (?) of the material are calculated by solving a second system of equations (G2), containing the resonant frequencies (fr0, frm) and bandwidths (BW0, BWm) of the empty and filled resonators and known calibration coefficients (ar1, ar2, br1, br2, cr1, cr2, abw1, abe2, bbw1, bbw2, cbw1, cbw2) of said resonator. The aim of the invention is to provide a method for determining the humidity independently of the density in a rapid, precise manner.

Abstract: A method and system for the non-destructive analysis of medical devices uses a confocal Raman microscope and other non-destructive analytical tools to assess the spatial distribution of components of an object such as the distribution of an active pharmaceutical ingredient (API) within a polymer matrix. In a preferred embodiment, confocal Raman spectroscopy was used to differentiate each component found in the sirolimus-eluting coronary stent. The unique spectral features identified for each component were then used to develop three separate calibration curves to describe the solid phase distribution found on drug-polymer coated stents. The calibration curves were obtained by analyzing confocal Raman spectral depth profiles from a set of 16 unique formulations of drug-polymer coatings sprayed onto stents and planar substrates.

Abstract: Methods of correcting on-line analyzer measurements of the content of a first component, e.g., water, in a multiple-component fluid, e.g., petroleum, are provided. The first component content measurements in a flowing multiple-component fluid may be taken using an on-line analyzer. Mixture density measurements that correspond to the first component content measurements may also be taken using a densitometer. Next, an offset value for each first component content measurement may be calculated based on the following equations: if the first component content measurement is ? a predetermined content set point, offset=slope correction factor×(the corresponding mixture density measurement?a calibration density); and ??(a) if the first component content measurement is > the predetermined content set point, offset=the offset value calculated at the predetermined content set point. ??(b) The first component content measurements may then be corrected based on the respective offset values.

Abstract: A density observer for estimating an actual density of a material with a proportional integral controller responsive to a density error determined by subtracting a feedback estimated density from a sensed density. A method of estimating a density of a material by determining a sensed density of the material, determining an estimated density of the material, determining a density error by subtracting the estimated density of the material from the sensed density of the material, and iteratively redetermining the estimated density based on the density error.

Abstract: A method of modeling a heat exchanger is disclosed and comprises assigning input temperatures, assumed output temperatures, and a set of flow rates, inputting the parameters into a set of equations arranged to calculate a heat transfer coefficient, inputting parameters into a second set of equations arranged to calculate output temperatures, substituting actual output temperatures for the assumed output temperatures, and again calculating the heat transfer cooefficient. The new heat transfer coefficient is then used to obtain revised actual output temperatures, and the initial actual output temperatures and the revised actual output temperatures are compared to determine whether they differ by less than a desired variance. If not, a new iteration is performed until the output temperatures converge.

Abstract: A method and apparatus are provided for monitoring the wire-stitching on print products in a wire-stitching machine. The wire-stitching includes wire staples having ends to be closed. The wire-stitching machine includes a measuring device operative to measure a density on the ends of passing wire staples to test the quality of the passing wire staples.

Abstract: The present invention is associated with a system and method of managing a compaction process. The method may include establishing a soil characteristic and establishing a machine performance characteristic in response to the soil characteristic. The machine performance characteristic may include a predictive compaction characteristic associated with a particular machine.

Abstract: A Coriolis mass flowmeter incorporates at least one measuring tube, at least one oscillator for the excitation of the measuring tube and at least one oscillation detector for registering the oscillations of the measuring tube, with an activator serving to energize the oscillator, at least one evaluation unit serving to analyze the oscillations registered by the oscillation detector, an excitation signal path including excitation signal-path devices provided between the activator and the oscillator for transmitting an excitation signal, and a measuring signal path with measuring signal-path devices provided between the oscillation detector and the evaluation unit for transmitting the measuring signal.

Abstract: The invention is directed to a method for assigning to a set of products a set of corresponding continuous demand densities. In a conversion step for each product its demand time series is converted into a discrete demand density. In a normalization step the discrete demand densities are transformed into normalized discrete demand densities. In a clustering step each of the normalized discrete demand densities is assigned to a cluster and for each cluster a cluster-representative discrete density is determined. In a selection step for each cluster-representative discrete density out of a predetermined set of continuous model densities a cluster-representative continuous density is selected. In a parameter-determination step for each product for its cluster-representative continuous density product-individual density parameters are determined under use of which for each product a continuous density is determined.

Abstract: This invention relates to a method and apparatus for mass and/or volume measurements of manufactured articles. More particularly, this invention relates to a method and apparatus for mass and/or volume measurements that can be performed on-line in a part manufacturing process. On-line measurement of the mass or volume of material contained in a specific region of interest of the manufactured items is performed 100% on-line. Real-time process control information is based on real-time measurement of the mass or volume of material contained in a specific region of interest of a manufactured item. Automated quality control inspection for manufactured articles is based on real-time measurement of the mass or volume of material contained in a specific region of interest of manufactured items.

Abstract: Methods and apparatuses for determining entrained and/or dissolved gas content of gas-liquid mixtures. Data generated is used to control the True (air-free) or Apparent (air-containing) Density or Entrained Air content of liquids within optimum ranges, e.g. in paper coating processes and in the manufacture of food products, personal care products, pharmaceutical products, paints, petroleum blends, etc.

Abstract: A method and an apparatus for generating color reappearance peculiarity profile and a method and an apparatus for reappearing color using a plurality of color reappearance peculiarity profiles are provided. The method of generating the color reappearance peculiarity profile includes: outputting a color standard scale having a set color information value through a color reappearance device; measuring actual color information value of the outputted color standard scale; calculating a color information difference value between the set color information value and the measured actual color information value of the color standard scale; and generating the color reappearance peculiarity profile which instructs the color reappearance device to reappear an optimized color using the color information difference value. Thus, the color reappearance optimized for a color reappearance device such as a color printer, a color copying machine, a monitor, or a scanner is performed by generating optimized color profiles.

Abstract: A method is provided for nondestructively determining a material property of a porous sample. A first vessel is evacuated to a sub-atmospheric pressure, while a test pressure, greater than the sub-atmospheric pressure, is established in a second vessel containing the sample. The pressures of the first and second vessels are equalized by opening a valve mechanism therebetween. The resulting pressure change in the second vessel exhibits an initial pressure drop followed by a transition to an equalization pressure. The envelope volume of the sample is determined from a minimum pressure attained by the second vessel upon initial opening of the valve mechanism, wherein the minimum pressure is related to the initial pressure drop. The envelope density of the sample is thus a quotient of the mass and the envelope volume of the sample. The absolute density and relative absorption of the sample may also be determined and an associated system is provided.

Abstract: The invention relates to a method and a device for determining and/or monitoring the fill level (F) of a medium (2) in a container (3) or, respectively, to a method and a device for establishing the density (&rgr;) of a medium in the container (3).

Abstract: An in-situ sensor system and method which measures the density of a liquid accurately with pressure sensors by measuring pressure in the liquid at two separate positions defined by a fixed distance. The fixed distance is known accurately to at least the nearest 0.0001 inch by measuring temperature simultaneously with pressure measurements. The temperature is used to correct for temperature-related changes in length of the material to which the pressure sensors are fixed. Because pressure sensors and temperature sensors can be relatively small, the sensor system is small, portable, and can be easily and safely inserted into or removed from tanks through a small opening. A data acquisition system acquires data with a remote telemetry system, provides the data to users through a communications network, and provides density, height, volume, and leak rate of the liquids using one or more data management systems.

Abstract: Methods, systems, and computer program products determine absorption, specific gravity, and/or porosity of construction materials undergoing analysis corresponding to different measurements of material samples divided from a “parent” construction material sample. Dry and wet weights of the samples are obtained under different conditions. In certain embodiments, the material sample is an aggregate that is held in liquid in a volumetric container and the container with the liquid and aggregate is weighed. Another weight of a second sample can be obtained. The second sample is encased in an evacuated vacuum-sealed bag that is opened while immersed in a liquid bath, at which time the weight can be obtained. The weight data can be used to calculate the parameter of interest.

Abstract: A device for checking the compaction, in particular, of black top pavement in street and roadway construction, using a vibration roller drum that is provided with a compaction checking device is provided. In the compaction of black top pavement, the measurement methods of the dynamic ground rigidity, known from ground compaction, for determining the condition of compaction that has been achieved, can not be used since the asphalt rigidity varies between two measurements with the temperature and in addition, the underground rigidity is measured with it proportionately. In order to solve these problems, a second vibration roller drum is provided which has a second compaction checking device, whereby the second vibration roller drum is coupled to the first vibration roller drum essentially following it in the same track. In this way, for the comparison of the values determined, the temperature dependence of the measurement values determined is eliminated.

Abstract: A graphic contour extracting method includes: acquiring an image of a graphic form to be inspected; defining an inspection region for the image of the graphic form to be inspected by an inspection graphic form including at least one of a circle, an ellipse, a rectangle, a first rectangular graphic form, a second rectangular graphic form and a closed curved graphic form, at least one end of the first rectangular graphic form being replaced with any one of a semi-circle, a semi-ellipse and a parabola, at least one of four corners of the second rectangular graphic form being replaced with a ¼ circle or a ¼ ellipse, the closed curved graphic form being expressed by the following expression: 1 ( x - x 0 ) 4 a 4 + ( y - y 0 ) 4 b 4 = 1 ,

Abstract: The present invention provides an improvement to the two, inaccurate, traditional approaches relating concentration to density. The first of these assumes that the solute is completely insoluble in the solvent; the second is based on a soluble solute. The present improved relationship is referred to as the CONCENTRATION-DENSITY MODEL. This model allows for a theoretical determination of the concentration-density relationship for a multi-component solid/liquid or liquid/liquid mixture. Included in the Concentration-Density Model is a new concept referred to as ADDITIVE VOLUME COEFFICIENT (AVC). This concept compensates for the fact that the net volume of a mixture does not always equal the sum of the volumes of each component. This improved Concentration-Density Model provides fluid-handling manufacturers with a method for accurately determining a mixture's concentration on-line with the aid of current density measurement instrumentation.

Abstract: Compaction performance follows a well behaved response curve for a particular material condition/compaction machine combination. Accordingly, a compaction response curve is determined from measured values representative of material density after a first and second pass by a compaction machine. The response curve is used to predict the number of passes required by the compaction machine to reach a desired density for the material, and thereby avoid making unneeded additional machine passes or passes which would not be effective due to diminished returns. The system may provide an indication when required compaction will not be achieved or will require an excessive number of passes, i.e. such as happens when moisture content of the material is high.

Abstract: A working fluid of a mechanical system is analyzed by measuring the permittivity of the working fluid as the temperature of the working fluid is varied over a range. Within this temperature range, a special temperature is identified, at which the rate of change of the permittivity over temperature is at a maximum. Subsequently, the viscosity, acid content, moisture content and density of the working fluid are determined from the special temperature, rate of change of permittivity at the special temperature, permittivity of the special temperature, and rate of change of permittivity above the special temperature, respectively. To ensure accurate determination of the special temperature and other parameter values, a curve-fitting technique is used, in which measurements of permittivity over the temperature range are fitted to a mathematical model of the expected curve, and this mathematical model is used to identify the various parameter values.

Abstract: This invention relates to methods and apparatus for determining the multi-dimensional topology of a substance (system) within a volume (space). A method according to a preferred embodiment of the invention comprises the steps of: acquiring a set of relative values for the density (scalar properties) of the volume, each value for a given location (point) within the volume; interpolating a set of functions to generate a continuous relative density for the volume; identifying critical points of the continuous relative density by using an eigenvector following method; and associating critical points with one another by following a gradient path of the continuous relative density between the critical points. The method is applicable to a wide range of data relating to fields such as crystallography, fluid dynamics, edge detection, and financial markets, to determine the topology of structures contained therein.

Abstract: Water-resistant preformed resilient bags are applied to a porous material specimen having a coarse external surface to provide for more consistent measurement results in water displacement tests. The preformed bag is configured to collapse and substantially conform to the material specimen's external surface and to provide planar collapsed portions extending away from the specimen. The preformed bags are precision manufactured and each applied to a respective specimen in a manner in which the bag consistently displaces the same volume of water when used in water displacement tests over many specimens. The volume of the bag can be accounted for when obtaining the volume of the specimen. The method of sealing the specimen includes inserting the specimen into a preformed bag and collapsing and sealing the bag such that is conformal to the external surface of the specimen.

Abstract: The present invention provides an improved thin layer nuclear density gauge comprising a gauge housing having a vertical cavity therethrough and a base, a first radiation detector located at a first position within said housing and adjacent to said base of said housing, a second radiation detector located at a second position within said housing and adjacent to said base of said housing, a vertically moveable source rod extending into said cavity of said gauge housing, a radiation source operatively positioned within a distal end of said source rod, at least one bearing operatively positioned to guide said source rod within said cavity, and means for vertically extending and retracting said source rod to a plurality of predetermined source rod positions so as to change the spatial relationship between said radiation source and said first and second radiation detectors. The source rod has a maximum radial movement of less than about 0.003 inch at each predetermined position.