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Cheong, KR
Hae Kyun Cheong, Pusan KR
| Patent application number | Description | Published |
|---|---|---|
| 20090094973 | HYDRAULIC CIRCUIT FOR HEAVY EQUIPMENT - A hydraulic circuit for heavy equipment is disclosed, which utilizes a hydraulic fluid supplied from a hydraulic pump for driving a cooling fan, as a pilot signal pressure, without installing a separate constant displacement pilot pump for supplying the pilot signal pressure to a control valve for controlling the hydraulic fluid to be supplied to a working device such as a boom. The hydraulic circuit includes first to third hydraulic pumps connected to an engine; a first control valve installed in a flow path of the first hydraulic pump; a second control valve installed in a flow path of the second hydraulic pump; a hydraulic motor connected to the third hydraulic pump; a cooling fan, connected to the hydraulic motor, for discharging cooling wind to an oil cooler; a temperature sensor for detecting a temperature of the hydraulic fluid in the hydraulic tank; an electric relief valve, installed in a drain flow path of the third hydraulic pump, for variably controlling a rotation velocity of the cooling fan; a controller for controlling the hydraulic pressure that drives the hydraulic motor; and a pilot pressure generator, installed in a pilot flow path branched and connected to a flow path of the third hydraulic pump, for supplying a pilot signal pressure to the first and second control valves when shifting. | 04-16-2009 |
Hae Kyun Cheong, Sasang-Gu KR
| Patent application number | Description | Published |
|---|---|---|
| 20110158830 | NEGATIVE CONTROL TYPE HYDRAULIC SYSTEM - A negative control type hydraulic system is provided, in which the use of a pilot pump and a load pressure generator between a hydraulic pump and a control valve is not required to prevent a power loss. The negative control type hydraulic system includes an engine; at least one variable-displacement hydraulic pump connected to the engine; at least one hydraulic actuator connected to the hydraulic pump; switching valves installed in a center bypass line of the hydraulic pump and shifted, in accordance with the supply of signal pressure from the outside, to control a flow of hydraulic fluid supplied to the hydraulic actuator; pilot signal pressure generators installed on a downstream side of the center bypass line to generate signal pressure for variably controlling a discharge flow rate of the hydraulic pump; a control lever outputting signal pressure in proportion to a manipulation amount; and a pressure reducing valve installed in a pilot line having one end branched and connected to the center bypass line and the other end connected to an input port of the control lever, and controlling hydraulic fluid supplied through the pilot line when the control lever is manipulated so that the hydraulic fluid from the hydraulic pump can be used as the signal pressure according to the manipulation of the control lever. | 06-30-2011 |
Han-Nam Cheong, Gyeongsangbuk-Do KR
| Patent application number | Description | Published |
|---|---|---|
| 20110073271 | STRIP EDGE SHAPE CONTROL APPARATUS AND METHOD IN STRIP CASTING PROCESS - Disclosed herein are an apparatus and method for controlling the edge shape of a strip in a twin-roll strip casting process, which improve the quality of the strip by using cameras to photograph the edge portions of the strip being cast by strip casting, analyzing the photographs, and then controlling edge dams according to the edge shape of the strip. The apparatus comprises: an edge dam driving unit which is attached to edge dams attached to both sides of casting rolls so as to control the pressing force of the edge dams against the casting rolls and the upward shift of the edge dams according to the wear and upward shift rate of the edge dams; cameras which are disposed at the strip outlet side of the casting rolls so as to photograph the edge portions of the strip; and a control unit which analyzes the edge shape of the strip from images photographed by the cameras and outputs a signal controlling the wear and upward shift of the edge dams. | 03-31-2011 |
Hoon Cheong, Suwon KR
| Patent application number | Description | Published |
|---|---|---|
| 20100272991 | CHROME-FREE COATING COMPOSITIONS FOR SURFACE-TREATING STEEL SHEET INCLUDING CARBON NANOTUBE, METHODS FOR SURFACE-TREATING STEEL SHEET AND SURFACE-TREATED STEEL SHEETS USING THE SAME - A chrome-free coating composition for surface-treating a hot-dip galvanized steel sheet that includes carbon nanotubes and has excellent electric conductivity, comprising, based on the total solid weight of the composition: (a) 40 to 60 parts by weight of a water-soluble or water-borne organic resin; (b) 20 to 40 parts by weight of an inorganic metallic sol; (c) 2 to 5 parts by weight of a carbon nanotube paste including carbon nanotube (CNT); (d) 2 to 5 parts by weight of a metal oxide/phosphate-based anti-corrosion agent; (e) 5 to 15 parts by weight of an organic metal complex; (f) 3 to 7 parts by weight of a carbodimide cross-linking agent; and (g) the balance of water, ethanol or a mixture thereof. The steel sheet surface-treated with the composition may be useful to secure corrosion resistance without including a chrome component and shows its electric conductivity even when the coating composition is used at a coating amount of 1000 mg/m | 10-28-2010 |
Hung Seob Cheong, Gwangju KR
| Patent application number | Description | Published |
|---|---|---|
| 20090206351 | SEMICONDUCTOR LIGHT EMITTING DEVICE - Embodiments provide a semiconductor light emitting device which comprises a first conductive semiconductor layer, an active layer on the first conductive semiconductor layer, a second conductive semiconductor layer on the active layer, and a plurality of third semiconductor structures spaced apart on the second conductive semiconductor layer. | 08-20-2009 |
| 20090261318 | SEMICONDUCTOR LIGHT EMITTING DEVICE - Embodiments provide a semiconductor light emitting device which comprises a first conductive semiconductor layer, an active layer on the first conductive semiconductor layer, a second conductive semiconductor layer on the active layer, and a semiconductor layer on the second conductive semiconductor layer, and comprising a plurality of a semiconductor structures apart from each other and microfacets. | 10-22-2009 |
| 20090272993 | SEMICONDUCTOR LIGHT EMITTING DEVICE - A semiconductor light emitting device comprises a first nitride semiconductor layer comprising a plurality of concave portions, a reflector in at least one of the concave portions of the first nitride semiconductor layer, and a second nitride semiconductor layer on the first nitride semiconductor layer. | 11-05-2009 |
Jaeho Cheong, Yuseong-Gu KR
| Patent application number | Description | Published |
|---|---|---|
| 20090169774 | Retardation film, and polarizing plate and liquid crystal display comprising the same - Disclosed are a retardation film including a polymer resin; and an optically anisotropic compound having a silicon group, and a polarizing plate including the retardation film. Also, disclosed is a liquid crystal display including the retardation film and/or the polarizing plate. | 07-02-2009 |
Jaeho Cheong, Daejeon Metropolitan City KR
| Patent application number | Description | Published |
|---|---|---|
| 20100080973 | LOW TEMPERATURE, FAST HARDENING COMPOSITION FOR PREPARING PROTECTING FILM, PROTECTING FILM PREPARED THEREFROM, AND SUBSTRATE COMPRISING THE SAME - The present invention relates to a composition for preparing an excellent protecting film with high strength, wear resistance, and excellent barrier property by low temperature hardening, a protecting film prepared therefrom, a substrate comprising the same, and a component or device comprising the same. The composition comprises an organosiloxane polymer a), a photobase generator b), and an organic solvent c). | 04-01-2010 |
Jae-Ho Cheong, Yuseong-Gu KR
| Patent application number | Description | Published |
|---|---|---|
| 20100059710 | Novel pyran derivative, its preparation method, liquid crystal composition and liquid crystal display device comprising the same - The present invention relates to a pyran derivative which manifests appropriate refractive anisotropy (optical anisotropy) and liquid crystal transition temperature and excellent dielectric anisotropy, and has excellent compatibility with various liquid crystal compounds, and thus, can be preferably used for the formation of a liquid crystal layer of a liquid crystal display device, its preparation method, a liquid crystal composition and liquid crystal display device comprising the same. | 03-11-2010 |
Jung-Taik Cheong, Gyeonggi-Do KR
| Patent application number | Description | Published |
|---|---|---|
| 20100167064 | REFERENCE WAFER FOR CALIBRATION AND METHOD FOR FABRICATING THE SAME - A reference wafer maintains laser accuracy and calibrates a camera and a laser of a semiconductor equipment. The reference wafer includes a first anti-reflection layer, an adhesive layer, a light absorption layer and a second anti-reflection layer that are stacked over a substrate, a light reflection layer formed over the second anti-reflection layer, and a protection layer formed over the light reflection layer. | 07-01-2010 |
Jung-Taik Cheong, Icheon-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20100124811 | Method for fabricating capacitor in semiconductor device - A method for fabricating a capacitor in a semiconductor device includes forming a sacrificial layer over a substrate, forming an opening by selectively etching the sacrificial layer, forming a conductive layer for a lower electrode over a whole surface of a resultant structure including the opening, forming the lower electrode by performing a first blanket dry etching process on the conductive layer until the sacrificial layer is exposed, etching the sacrificial layer to a predetermined depth to protrude a top of the lower electrode over the sacrificial layer, and performing a second blanket dry etching process on the lower electrode to remove a hornlike part on top of the lower electrode. Since a blanket dry etching is performed twice, it is possible to easily remove a hornlike part of a lower electrode and prevent a device failure induced by a micro-bridge between adjacent lower electrodes. | 05-20-2010 |
Kwang Ho Cheong, Seongnam-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20110104176 | ANTIBODY SPECIFICALLY BINDING TO C-MET AND USE THEREOF - Antibodies specifically binding to c-Met protein, hybridoma cell lines, and compositions comprising the antibodies are disclosed herein. Methods of making and using the antibodies and compositions are also disclosed. | 05-05-2011 |
| 20110129481 | Antibody specifically binding to c-Met and methods of use - Antibodies specifically binding to c-Met protein, hybridoma cell lines, and compositions comprising the antibodies are disclosed herein. Methods of making and using the antibodies and compositions are also disclosed. | 06-02-2011 |
Kyeong-Beom Cheong, Suwon-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20110086293 | SOLID OXIDE FUEL CELL HOUSING - A housing for a solid oxide fuel cell, the housing including a plurality of side walls defining a cavity; a first opening in one of the plurality of side walls, the first opening being configured to allow fluid to enter into the cavity; a second opening in one of the plurality of side walls, the second opening being configured to allow the fluid to exit from the cavity; and a flow path extending unit between the first opening and the second opening to increase a length of a flow path between the first opening and the second opening. | 04-14-2011 |
Min-Ho Cheong, Daejon KR
| Patent application number | Description | Published |
|---|---|---|
| 20100002806 | APPARATUS FOR RECEIVING SIGNALS IN OFDM COMMUNICATION SYSTEM HAVING MULTIPLE ANTENNAS AND METHOD THEREOF - Provided are an apparatus for receiving signals in an OFDM communication system using multiple transmission/reception antennas and a method thereof. The method includes modulating a predetermined part of a data stream based on a multi-dimensional reception procedure to generate a first modulated data stream; regenerating a symbol corresponding to the modulated data stream; eliminating the regenerated symbol from a remained data stream; modulating the eliminated data stream to generate a second modulated data stream; and outputting an output signal obtained by serializing the first modulated data stream and the second modulated data stream. | 01-07-2010 |
| 20100031116 | METHOD FOR ENCODING LOW DENSITY PARITY CHECK CODES USING RESULT OF CHECKING PREVIOUSLY SPECIFIED PARITY BITS - There is provided to a method for encoding an LDPC (Low Density Parity Check) code using the result of checking a previously specified parity, including the steps of: forming a parity bit check matrix having a dual diagonal structure consisting of (N-K) rows for check nodes and (N-K) columns on the basis of the H matrix; calculating the values of all the parity bits by inserting a given binary value in sub-blocks, with the parity bit check matrix formed on the H matrix; if the values of the parity bits are incorrect, checking the parity bit corresponding to the sub-block located in the last part of the H matrix; searching the parity bit parts where the parity bit check result is represented as “1”; performing an XOR operation in sub-blocks on the parity bit part obtained through a simultaneous equation between the parity bits of the searched parity bit parts and the parity bit parts; and determining the value of the parity bit satisfying the condition that the value obtained by multiplying the H matrix by a code word vector. | 02-04-2010 |
Myung Goo Cheong, Suwon KR
| Patent application number | Description | Published |
|---|---|---|
| 20100181588 | SEMICONDUCTOR LIGHT EMITTING DEVICE - Disclosed is a semiconductor light emitting device. The semiconductor light emitting device includes an n-type semiconductor layer, a p-type semiconductor layer, and an active layer disposed therebetween, and a surface plasmon layer disposed between the active layer and at least one of the n-type and p-type semiconductor layers, including metallic particles and an insulating material, and including a conductive via for electrical connection between the active layer and the at least one of the n-type and p-type semiconductor layers, wherein the metallic particles are enclosed by the insulating material to be insulated from the at least one of the n-type and p-type semiconductor layers. The semiconductor light emitting device can achieve enhanced emission efficiency by using surface plasmon resonance. Using the semiconductor light emitting device, the diffusion of a metal employed for surface plasmon resonance into the active layer can be minimized. | 07-22-2010 |
Sang Bo Cheong, Siheung-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20120092291 | MULTI-TOUCH RECOGNITION RESISTIVE TOUCH SCREEN FOR RECOGNIZING MULTI-TOUCH COORDINATES THROUGH CAPACITOR CHARGING TIME - The present invention relates to a resistive touchscreen for recognizing touch coordinates through a capacitor charging time constant, and more specifically, the invention comprises: an equal resistance line operating means for obtaining the same resistance line according to an (R | 04-19-2012 |
Sang-Jin Cheong, Gyeonggi-Do KR
| Patent application number | Description | Published |
|---|---|---|
| 20090212327 | STANDARD CELL LIBRARIES AND INTEGRATED CIRCUIT INCLUDING STANDARD CELLS - A standard cell library includes a first power rail, a second power rail, a third power rail, a first standard cell, and second standard cells. The first power rail extends in a first direction. The second power rail extends in the first direction, and is spaced apart from the first power rail by a predetermined spacing in a second direction perpendicular to the first direction. The third power rail extends in the first direction between the first power rail and the second power rail. The first standard cell has at least one cell having a first cell height, and is arranged between the first power rail and the second power rail. The second standard cells have at least two cells, each having a second cell height, that are in contact with each other in the second direction, and are in contact with the first standard cell in the first direction. | 08-27-2009 |
Se-Ho Cheong, Yongin-City KR
| Patent application number | Description | Published |
|---|---|---|
| 20120100644 | ORGANIC LAYER DEPOSITION APPARATUS, AND METHOD OF MANUFACTURING ORGANIC LIGHT-EMITTING DISPLAY APPARATUS USING THE SAME - An organic layer deposition apparatus including an electrostatic chuck combined with a substrate so as to fixedly support the substrate. The organic layer deposition apparatus including a receiving surface that has a set curvature for receiving the substrate; a deposition source for discharging a deposition material toward the substrate; a deposition source nozzle unit disposed at a side of the deposition source and including a plurality of deposition source nozzles arranged in a first direction; and a patterning slit sheet disposed to face the deposition source nozzle unit, and having a plurality of patterning slits arranged in a second direction perpendicular to the first direction, wherein a cross section of the patterning slit sheet on a plane formed by lines extending in the second direction and a third direction is bent by a set degree, wherein the third direction is perpendicular to the first and second directions. | 04-26-2012 |
Seonghwan Cheong, Ansan-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20110062228 | TEACHING METHOD OF TRANSMISSION CONTROL UNIT OF VEHICLE - A teaching method of a transmission control unit (TCU) allows one to transmit specific property data of a transmission manufactured in a transmission production line to a vehicle assembly line where the TCU and the transmission are assembled, and input the data to the TCU in a very inexpensive and simple fashion. The method also allows the TCU that controls a CVT to appropriately initialize kiss-point pressure of the CVT that uses a wet-type multi-disc clutch, instead of a torque converter, and is equipped with a solenoid valve directly controlling the wet-type multi-disc clutch, such that it makes it possible to allow the TCU to stably and appropriately control the CVT to be controlled, with the property data about the CVT which is restrictively transmitted. | 03-17-2011 |
Seong Wook Cheong, Seongnam-Si KR
Seung Chae Cheong, Incheon-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20110104369 | APPARATUS AND METHOD FOR CONTINUOUS POWDER COATING - The present invention relates to a method and an apparatus by which powder is evenly dispersed and is coated on a substrate uniformly and continuously so that a uniform layer may be formed. More specifically the present invention provides a method and an apparatus for forming a coating layer that powder is coated on an entire surface of a substrate uniformly and continuously, regardless of the material or the size of the substrate, as a uniform amount of powder entrained on the carrier air which is generated by carrier air and powder transported to a carrier pipe at a certain rate is consistently fed in to a nozzle, regardless of the size, morphology, and specific weight of the powder particles. | 05-05-2011 |
Sun-Mi Cheong, Suwon-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20100085084 | CLOCK-SHARED DIFFERENTIAL SIGNALING INTERFACE AND RELATED METHOD - The present invention provides a clock-shared differential signaling interface and a method of driving output data to a display panel. The apparatus includes a plurality of driver circuits, wherein each driver circuit in the plurality of driver circuits respectively provides output data. The apparatus also includes a timing controller providing a first clock signal to the plurality of driver circuits via a multi-drop connection, and providing a respective differential data signal to each driver circuit via a respective point-to-point connection. | 04-08-2010 |
Won Sik Cheong, Daejeon-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20120087571 | METHOD AND APPARATUS FOR SYNCHRONIZING 3-DIMENSIONAL IMAGE - There are provided a 3-D image synchronization method and apparatus. The method comprises determining a reference region for each of the frames of a first image and determining a counter region for each of the frames of a second image, corresponding to the reference region, for the first image and the second image forming a 3-D image; calculating the feature values of the reference region and the counter region; extracting a frame difference between the first image and the second image based on the feature values; and moving any one of the first image and the second image in the time domain based on the extracted frame difference. | 04-12-2012 |
Won-Sik Cheong, Daejeon-City KR
| Patent application number | Description | Published |
|---|---|---|
| 20090184970 | METHOD AND APPARATUS FOR DISPLAYING THE LASER CONTENTS - Provided are a method and apparatus for displaying lightweight applications scene representation (LASeR) content. A LASeR markup language (ML) that is based on a LASeR binary stream or a LASeR extensible markup language (XML) is parsed so as to generate a LASeR document object model (DOM). A LASeR application program interface (API) is used to generate a LASeR DOM object tree. A LASeR player accesses the LASeR DOM to display LASeR DOM scene information. | 07-23-2009 |
| 20100232432 | EXTENDED SAF PACKET TO SUPPORT VOLUMINOUS MEDIA DATA - Provided are an extended Simple Aggregation Format (SAF) packet to support voluminous media data and a method of generating the extended SAF packet. The extended SAF packet includes an SAF access unit including an SAF fragment unit obtained by dividing the voluminous media data into a data size suitable for transmission through an SAF packet and a field that provides information about the type of the SAF fragment unit, and an SAF packet header including a field that provides information about whether the SAF access unit carries the SAF fragment unit. Thus, it is indicated that the SAF packet carries the SAF fragment unit from information of the SAF packet header, and the type of the SAF fragment unit, a sequence number of the SAF fragment unit and a total access unit length from information of the SAF access unit. | 09-16-2010 |
| 20100332673 | METHOD AND APPARATUS OF REFERRING TO STREAM INCLUDED IN OTHER SAF SESSION FOR LASER SERVICE AND APPARATUS FOR PROVIDING LASER SERVICE - Provided are a method and apparatus for enabling a main stream to refer to an elementary stream existing in another simple aggregation format (SAF) session by using a global ID during provision of a light application scene representation (LASeR) service, and a LASeR service providing apparatus. In order for a main stream to refer to an elementary stream included in an SAF session different from an SAF session in which the main stream is included without a change of existing LASeR and SAF stream structures, the main stream for a LASeR service uses a global stream ID of the elementary stream as a reference value. Accordingly, the elementary stream included in the SAF session different from the SAF session of the main stream can be effectively referred to without need to create a separate apparatus or change an existing apparatus even when a global ID included in a LASeR scene description is used as in the conventional art. | 12-30-2010 |
Yeon-Seong Cheong, Busan KR
| Patent application number | Description | Published |
|---|---|---|
| 20080233004 | Sterilizing Apparatus and Method Using High Pressure Steam - A sterilizing apparatus is inserted into a cold or warm water passage of a water dispenser, a purified water passage of a water purifier, a discharge pipe of a beverage bending machine, an air suction unit of an air conditioner and so on to inject a high pressure steam for sterilization. The sterilizing apparatus using a high pressure steam includes an injection member for controlling a high pressure steam to be selectively injected; a rotating unit having a hollow perforated in a length direction of the rotating unit so that the steam injected from the injection member passes through the hollow, a rotating means being installed in the hollow to be rotated by the passing steam; and a nozzle unit coupled to the rotating means to rotate together with the rotating means, and having a rod-shaped nozzle for injecting the steam. | 09-25-2008 |
Yong Joon Cheong, Gyeonggi-Do KR
| Patent application number | Description | Published |
|---|---|---|
| 20080280839 | Anti-Cancer Activity of Androsace Umbellata Merr. Extract and Contained Triterpene Saponin - The present invention relates to an | 11-13-2008 |
Yoon Chae Cheong, Seongnam-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20110109726 | APPARATUS AND METHOD FOR GENERATING A THREE-DIMENSIONAL IMAGE USING A COLLABORATIVE PHOTOGRAPHY GROUP - A communication network comprising a collaborative photography group including a plurality of cameras having synchronized photographing times, is provided. The plurality of cameras may share location information, direction angle information, and image information generated by photographing an object, and generate a three-dimensional (3D) image of the object. | 05-12-2011 |
| 20120087297 | PACKET ROUTING APPARATUS AND METHOD - A packet routing apparatus and method are provided. The packet routing apparatus may participate in a sensor network. In certain aspects the packet routing apparatus may snatch a request to send (RTS) signal that is transmitted from a first node to a second node in the sensor network and may intervene on the relay path of the snatched data packet. In certain aspects, the packet routing apparatus may sniff a data packet that is transmitted from a first node to a second node and may intervene on the relay path of the sniffed data packet. | 04-12-2012 |
Yun Gyung Cheong, Anyang-Si KR
| Patent application number | Description | Published |
|---|---|---|
| 20090327898 | STORAGE MEDIUM, APPARATUS, AND METHOD TO AUTHOR AND PLAY INTERACTIVE CONTENT - A storage medium to store interactive content may include at least one content unit and interactive content including story map information, the story map information selectively connecting the at least one content unit according to conditions to form a story. | 12-31-2009 |
| 20100031191 | APPARATUS AND METHOD FOR PROVIDING DIGITAL CONTENT - A digital content providing apparatus including an interactive content composer to compose continuous interactive contents by linking at least two content units depending on at least one pre-condition or post-condition selected determined on the basis of a user's request and a reproducer to seamlessly reproduce the composed interactive contents. | 02-04-2010 |
| 20100094801 | DATA PROCESSING APPARATUS AND METHOD FOR CONSTRUCTING INTERACTIVE CONTENTS AND RECORDING MEDIA - Disclosed are an apparatus and method of constructing interactive contents. The data processing apparatus may transit a branching graph into a planning domain, wherein information on nodes and arcs of the branching graph may be classified to generate property and class information, and the classified properties may be used as pre-conditions of a plan operator on the planning domain. | 04-15-2010 |
| 20110066964 | DATA PROCESSING APPARATUS AND METHOD - A data processing and displaying apparatus and method are provided. The apparatus and method may visualize and display interactive contents to be easily recognized where a number of nodes is large or branches are complex for visualized graph-typed input data. The data processing apparatus and method may also selectively display a portion of nodes or conditions desired by a user based on a particular user input. | 03-17-2011 |
| 20120041920 | APPARATUS AND METHOD FOR GENERATING PROBABILISTIC GRAPHICAL MODEL BASED ON TIME-SPACE STRUCTURE - An apparatus for generating a probabilistic graphical model based on a time-space structure. The apparatus includes a first matrix generation unit configured to generate a first matrix having variables corresponding to stream data; a second matrix generation unit configured to classify the variables of the first matrix into either object variables that are objects of interest or input variables, acquire combination variables from multi-order combination of the input variables, and generate a second matrix using the acquired combination variables; and a model creation unit configured to create the probabilistic graphical model using the object variables of the first matrix and the combination variables of the second matrix. | 02-16-2012 |