Provided are video encoding and decoding methods and apparatuses. The video encoding method includes: encoding a video based on data units having a hierarchical structure; determining a context model used for entropy encoding a syntax element of a data unit based on at least one piece of additional information of the data units; and entropy encoding the syntax element by using the determined context model.

A method and apparatus of reusing reference data for video decoding are disclosed. Motion information associated with motion vectors for coded blocks processed after the current block are derived without storing decoded residuals associated with the coded blocks. Reuse information regarding reference data required for Inter prediction or Intra block copy of the coded blocks is determined based on the motion information. If the current block is coded in the Inter prediction mode or the Intra block copy mode, whether required reference data for the current block are in an internal memory is determined and the reference data are fetched from an external memory to the internal memory if the required reference data are not stored in the internal memory. The reference data in the internal memory is managed according to the reuse information to reduce data transferring between the external memory and the internal memory.

A receiving side is enabled to perform excellent decode processing according to decoding capability. An image encoding unit classifies image data of each picture consisting moving picture data into a plurality of layers, encodes the classified image data of the picture in each of the plurality of layers, and generates video data having the encoded image data of the picture in each of the plurality of layers A data transmission unit transmits the video data. An information transmission unit transmits a level designation value of a bit stream and information on a layer range in each of a plurality of layer ranges having a different maximum layer.

Disclosed are a transcoding method and electronic apparatus. The method includes: obtaining 16 H.264 video macro blocks; determining encoding type of the 16 H.264 video macro blocks; transcoding the 16 H.264 video macro blocks into a H.265 coding tree unit CTU according to preset intra-frame transcoding correspondence if the encoding type of the 16 H.264 video macro blocks is intra-frame coding; transcoding the 16 H.264 video macro blocks into one H.265 CTU according to preset inter-frame transcoding correspondence if the encoding type of the 16 H.264 video macro blocks is inter-frame coding. The device includes: capturing module, determination module, first transcoding module and second transcoding module. The present invention has no need to decode H.264 video macro blocks to produce original video data, so the transcoding process can speed up and save time.

An apparatus for motion compensated noise reduction for input images is provided. The motion estimation and motion compensation circuit performs a motion estimation operation and a motion compensation operation on a current image and a previous image to obtain a first patch. The block matching operation circuit performs a block matching operation on the current image and the previous image to obtain a second patch. The motion detection circuit performs a motion detection operation on a target patch according to the first patch and the second patch to output a set of third patches. The current image includes the target patch. The noise reduction circuit performs a noise reduction operation on the set of third patches according to a threshold curve, so as to generate the target patch that the noise is reduced. A method for motion compensated noise reduction for input images is also provided.

A video coding apparatus for encoding a compressive sensing signal has a processor. The processor obtains a compressive sensing sampling matrix; andcaptures the compressive sensing signal representing image data based on the compressive sensing sampling matrix, wherein the compressive sensing sampling matrix is non-uniform varied.

An object of the present invention is to increase efficiency of information compression in coding and decoding. A moving picture encoding apparatus 10 of the present invention has a motion vector predicting part for performing, based on a temporal relation among adjacent reference frame images 703a, 703b, 703c referred to for detecting motion vectors of adjacent blocks adjacent to a coding target block, a target reference frame image 702 referred to for detecting a motion vector of the target block, and a target frame image 701 being the frame image of the coding target, or based on time information thereof, a correction of scaling the motion vectors 751a, 751b, 751c of the adjacent blocks on the basis of the target reference frame image 702; and a determination of an optimum predicted motion vector based on the motion vectors of the adjacent blocks; and thereby predicting the optimum predicted motion vector after the correction.

A picture prediction method and a related apparatus are disclosed. The picture prediction method includes: determining motion vector predictors of K pixel samples in a current picture block, where K is an integer greater than 1, the K pixel samples include a first vertex angle pixel sample in the current picture block, a motion vector predictor of the first vertex angle pixel sample is obtained based on a motion vector of a preset first spatially adjacent picture block of the current picture block, and the first spatially adjacent picture block is spatially adjacent to the first vertex angle pixel sample; and performing, based on a non-translational motion model and the motion vector predictors of the K pixel samples, pixel value prediction on the current picture block. Solutions in the embodiments of the present application are helpful in reducing calculation complexity of picture prediction based on a non-translational motion model.

A video decoding method using an inter prediction, includes: reconstructing a first differential motion vector and a second differential motion vector of a current block by decoding encoded data; deriving a first predicted motion vector and a second predicted motion vector of the current block from one or more neighboring blocks of the current block; generating a first motion vector of the current block by adding the first candidate motion vector to the first differential motion vector, and a second motion vector of the current block by adding the second candidate motion vector to the second differential motion vector; generating a predicted block of the current block by using the first and second motion vectors; reconstructing a residual block by decoding residual signals included in the encoded data; and adding each pixel value of the predicted block to a corresponding pixel value of the residual block.

A video decoding method using an inter prediction, includes: reconstructing a first differential motion vector and a second differential motion vector of a current block by decoding encoded data; deriving a first predicted motion vector and a second predicted motion vector of the current block from one or more neighboring blocks of the current block; generating a first motion vector of the current block by adding the first candidate motion vector to the first differential motion vector, and a second motion vector of the current block by adding the second candidate motion vector to the second differential motion vector; generating a predicted block of the current block by using the first and second motion vectors; reconstructing a residual block by decoding residual signals included in the encoded data; and adding each pixel value of the predicted block to a corresponding pixel value of the residual block.

The present invention relates to a method for decoding a video signal, comprising the steps of: acquiring a transform size flag of the current macroblock from a video signal; checking the number of non-zero transform coefficients at each pixel position in a first transform block which corresponds to the transform size flag; changing a scan order of the first transform block by prioritizing the position of the pixel having the greatest number of the non-zero transform coefficients in the first transform block; determining the number of the non-zero transform coefficients at each pixel position in a second transform block, and setting the changed scan order of the first transform block as an initialized scan order of the second transform block; adding the number of the non-zero transform coefficients at each pixel position in the first transform block and the number of the non-zero transform coefficients at each pixel position in the second transform block, and changing the scan order of the second transform block by prioritizing the position of the pixel having the greatest number of the non-zero transform coefficients; and decoding the transform coefficients arranged in the scan order changed in the previous step, wherein the first transform block and the second transform block have sizes corresponding to the transform size flag, and are contained in the current macroblock.

An encoder encodes pixels representative of a picture in a multimedia stream, generates a first approximate signature based on approximate values of pixels in a reconstructed copy of the picture, and transmits the encoded pixels and the first approximate signature. A decoder receives a first packet including the encoded pixels and the first approximate signature, decodes the encoded pixels, and transmits a first signal in response to comparing the first approximate signature and a second approximate signature generated based on approximate values of the decoded pixels. If a corrupted packet is detected, the multimedia application requests an intra-coded picture in response to the first approximate signature differing from the second approximate signature. The second signal instructs the decoder to bypass requesting an intra-coded picture and to continue decoding received packets in response to the first approximate signature being equal to the second approximate signature.

The image decoding method includes: determining a context for use in a current block to be processed, from among a plurality of contexts; and performing arithmetic decoding on a bit sequence corresponding to the current block, using the determined context, wherein in the determining: the context is determined under a condition that control parameters of neighboring blocks of the current block are used, when the signal type is a first type, the neighboring blocks being a left block and an upper block of the current block; and the context is determined under a condition that the control parameter of the upper block is not used, when the signal type is a second type, and the second type is “inter_pred_flag”.

Methods and apparatus to calibrate rod pump controllers are described. An example method includes obtaining initial values related to a pumping unit, determining parameters based on the initial values, the parameters including at least one of a leaked off load value, a residual friction value, and a buoyant rod weight value, and based on one or more of the initial values and the parameters, calculating one or more dimensions of a rod string, the one or more dimensions to be used to determine a pump card of the pumping unit.

A sump pump system having a primary pump, a fluid level sensor, and a primary controller electrically connected to the primary pump for activating the pump when the fluid level sensor indicates a predetermine fluid level has been reached, the primary controller having a primary interface for communicating with a secondary pump. In some forms, the system includes a secondary pump having a secondary controller electrically connected to the secondary pump and having a secondary interface, the primary and secondary interfaces allowing the primary and secondary pump controllers to communicate with one another and allowing at least one of the primary and secondary pump controllers to assume control of both the primary and secondary pump. Related methods are further described herein.

Reactive diluent fluid (22) is introduced into a stream of synthesis gas (or “syngas”) produced in a heat-generating unit such as a partial oxidation (“POX”) reactor (12) to cool the syngas and form a mixture of cooled syngas and reactive diluent fluid. Carbon dioxide and/or carbon components and/or hydrogen in the mixture of cooled syngas and reactive diluent fluid is reacted (26) with at least a portion of the reactive diluent fluid in the mixture to produce carbon monoxide-enriched and/or solid carbon depleted syngas which is fed into a secondary reformer unit (30) such as an enhanced heat transfer reformer in a heat exchange reformer process. An advantage of the invention is that problems with the mechanical integrity of the secondary unit arising from the high temperature of the syngas from the heat-generating unit are avoided.

A device recovers water from an ambient airstream. The device includes a chamber having a group of trays that hold respective amounts of liquid desiccant. A foam media element in each tray absorbs the desiccant to increase an exposed surface of the desiccant to the airstream. Fans and valves are used to control airflow through the device. A charge cycle circulates air through the device to remove water vapor from the airstream. A subsequent extraction cycle removes water collected in the liquid desiccant by a condenser communicating with the chamber. An integral heat exchanger adds heat to the chamber during the extraction cycle. A controller is used to integrate and control device operation. The desiccant trays may be selectively configurable in an array to best suit the intended installation. The trays may be arranged in column and row configurations, along with adjustable airflow patterns between each of the trays.

Provided are apparatus and systems having a poppet valve assembly and swing adsorption separation techniques related thereto. A poppet valve includes a valve body, a plurality of static valves fixedly secured to the valve body and a single dynamic poppet valve having a plurality of openings. The plurality of static valves align and mate with the plurality of openings. The single dynamic poppet valve reciprocates to selectively open and close the plurality of static valves.

A process for the reduction of carbon dioxide and carbonyl sulfide from various types of gas emitting sources containing carbon dioxide and/or gas or liquid emitting sources containing carbonyl sulfide, using ion exchange resin.

A process for winning oil from a vapor gas mixture (VGM) containing a plurality of oil fractions obtained by the pyrolysis of a hydrocarbon containing material includes dedusting and cooling the VGM. The dedusted and cooled VGM are fractionated in at least two electrostatic precipitator stages at respective temperatures corresponding to respective boiling points of the oil fractions so as to separate the oil fractions.

A method and apparatus are described for swing adsorption processes. The method includes obtaining different plates, wherein the plates have gaseous openings and a utility fluid opening. Then, the gaseous openings are substantially oriented along a common axis for gaseous openings and the plates are diffusion bonded. Once diffusion bonded, the gaseous openings within the module are wash coated with an adsorbent material.

A pressure swing adsorption process for removal of CO2 from natural gas streams through a combination of a selective adsorbent material containing an effective amount of a non-adsorbent filler, adsorbent contactor design, and adsorption cycle design. The removal of contaminants from gas streams, preferably natural gas streams, using rapid-cycle swing adsorption processes, such as rapid-cycle pressure swing adsorption (RC-PSA). Separations at high pressure with high product recovery and/or high product purity are provided through a combination of judicious choices of adsorbent material, gas-solid contactor, system configuration, and cycle designs. For example, cycle designs that include steps of purge and staged blow-down as well as the inclusion of a mesopore filler in the adsorbent material significantly improves product (e.g., methane) recovery. An RC-PSA product with less than 10 ppm H2S can be produced from a natural gas feed stream that contains less than 1 mole percent H2S.

Apparatus and methods for separating volatiles from particulates are provided. The apparatus includes a separator having an internal volume and a fluid discharge outlet, a particulate discharge outlet, a particulate inlet, and a fluid inlet disposed on the separator and in fluid communication with the internal volume. The particulate inlet is disposed toward a first end of the separator and the fluid inlet is disposed toward a second end of the separator. The fluid inlet includes one or more openings disposed through a sidewall of the separator.

The exhaust gas treatment apparatus has a sealed vessel which is vertically partitioned into two spaces by a partition. A portion of the sealed vessel lower than the partition is an absorbing liquid storage portion, and a portion of the sealed vessel upper than the partition is an exhaust gas introducing portion. The partition is provided with a large number of sparger pipes so that the sparger pipes reach inside an absorbing liquid stored in the absorbing liquid storage portion. The partition is provided with a single gas riser in communication with a space upper than the absorbing liquid in the absorbing liquid storage portion. An upper end of the gas riser passes through a top plate portion of the sealed vessel and protrudes upward.

A punching device includes a punching unit that punches a hole in a sheet of paper; a container that receives a chad of paper generated upon punching by the punching unit; a dispersing member that is provided within the container and that is configured to disperse the chad of paper; and a guiding member configured to guide the chad of paper that is generated upon punching by the punching unit and fallen into the container to the dispersing member.

A cutting device for cutting labels includes a cutting element for cutting into individual labels a label strip that is provided with a plurality of labels arranged one behind the other in the direction of the length of the label strip. The cutting element has a cutting tool in a first axis, about which the cutting element is rotatable. A counter-pressure roller which serves for the placement of the label strip is rotatable about a second axis arranged parallel to the first axis and has at least one counter-cutting bar which is provided on the outer surface of the counter-pressure roller essentially parallel to the second axis.

An apparatus for cutting a continuous web includes a disc-shaped rotatable blade member for cutting the continuous web by moving in an intersecting direction, while rotating about an axis of a rotating shaft, a regulating section for regulating a relative movement of the continuous web in the predetermined direction with respect to the rotatable blade member throughout a time during which the rotatable blade member is cutting the continuous web, and a reciprocating mechanism for moving both the rotatable blade member and the regulating section along a forward path and a return path. The forward path has an equal velocity region where both the rotatable blade member and the regulating section move at a velocity value equal to a transport velocity value of the continuous web. The rotatable blade member cuts the continuous web while moving in the equal velocity region.

Rotary cutting apparatus has a frame, a first rotary device and a second rotary device. Each of the first and second rotary devices has a shaft concentrically arranged about a rotational axis and a drum and are arranged in the frame in such a way that said first and second axes are substantially horizontal and substantially in the same vertical plane. A pair of bearing housings is arranged on either side of each of the drums. A first pair of bearing housings is movable relative to the frame in a transverse direction to the first rotational axis by means of a force means. Means is provided for passive vibration attenuation of at least the first shaft that includes a mass damper having a housing and a damping body movably arranged inside the housing, wherein the mass damper is associated with the first pair of bearing housings.

Noodles with hand-made quality consisting of thick and thin portions are processed by introducing a noodle belt between first and second cutting rolls 5 and 6 having first and second cutting blades 3 and 4 each formed by large and small diameter portions 3a, 4a and 3b and 4b, and spacers 7. The cutting rolls are relatively shifted in an axial direction such that the thick portion is formed by opposing large diameter portion and spacer and the thin portion is formed by opposing large diameter portion and small diameter portion.

A dicing apparatus according to a first aspect of the present invention includes: a work table on which a work is mounted; a processing device which processes the work; an imaging device which images the work on the work table; a plurality of moving device which move the work table, the processing device, and the imaging device relatively to each other; and an alignment camera which is provided on the same moving device as the work table so as to face the imaging device, and which performs imaging in the direction toward the portion where the imaging device is provided. According to the dicing apparatus configured in this way, it is possible to easily measure the relative position of the imaging device and the processing device without processing a dummy work, and it is possible to perform excellent dicing processing without lowering the efficiency of the dicing apparatus.

A bread conveying apparatus and a bread slicing apparatus including the bread conveying apparatus, comprise a flight conveyer including a first flight for urging a bread, an endless revolving member on which the first flight is mounted, and a driving member and a driven member, the endless revolving member being wound around the driving member and driven member; a rail extending along a conveying path of the bread and supporting the first flight; and a rail size setting unit for setting a length of the rail with respect to an extending direction of the conveying path, wherein the length of the rail with respect to the conveying direction is set by the rail size setting unit based on a size of the bread.

The invention relates to a portable, handheld work apparatus such as a trimmer, a cut-off machine, a chain saw or the like, having a motor (5, 33) to drive a rotating, exchangeable work tool (13). A control unit (15) serves to control the operation of the motor (5, 33). The control unit (15) determines the rotational speed (n) and/or the power (P) of the motor (5, 33). According to the invention, the motor (5, 33) can be operated in a first operating mode (I) with reduced rotational speed (n0) and/or power (P0) and in at least a second operating mode (II) with an increased rotational speed (n1) and/or power (P1). In dependence on a release signal, the control uses exclusively the first operating mode (I) for a limited operation and the second operating mode (II) for an expanded operation.

A web-member cutting apparatus for cutting a web member at intervals in a transport direction includes: an intermittent transport mechanism for intermittently transporting the web member in the transport direction; a disc-like rotatable blade member for cutting the web member by moving along an intersecting direction while rotating about a rotation shaft during a suspension period of transport of the web member, and a downstream pressing member for regulating movement of the web member by pressing the web member against the intermittent transport mechanism at a position downstream from a target cut position in the transport direction throughout a period during which the rotatable blade member is cutting the web member.

A method and apparatus for cutting a window covering comprises saw for cutting the window blind. A clamp assembly moves the window covering relative to the saw. A controller moves the clamp assembly to automatically position the window covering relative to the saw. The saw is moved into engagement with the window covering to cut the window covering.

An apparatus for cutting tubular members includes a support structure, a control system, a cutting station, a guide and an extracting assembly. The cutting station includes a first wheel having at least one cutting member located on the circumference of the first wheel and a second wheel having at least one projection located on the circumference of the second wheel. The extracting assembly has a cylindrical member with a first end and a second end. The cylindrical member also includes a pair of grooves extending along a portion of the interior thereof. The grooves decrease in height and depth from the first interior section to the third interior section.

A work piece cutting apparatus including a base, a work table, a support post defining a void for a work piece being worked on to pass at least partially through the void, a cutting device, and attachment assembly for securing the cutting device to the support post. Another embodiment of the above apparatus includes a work table being movable to angle orientations relative to the base, and a locking mechanism for locking the work table into angle orientations. A further embodiment is an apparatus adapted for receiving a cutting device. The apparatus includes a base, a work table, and a tool dock base located about the work table. The tool dock base is adapted for receiving a cutting device. Another embodiment of the above apparatus includes a work table being movable to angle orientations relative to the base, and a locking mechanism for locking the work table into angle orientations.

In some examples, an apparatus includes a base including an arm selectively movable with respect to the base. The arm is selectively rotatable about a first arm axis. A base plate is engaged with the arm. A tool is configured to be detachably coupled to the base plate. The tool is movable with the base plate when coupled to the base plate. The apparatus includes a first mode with the tool coupled to the base plate and the arm being selectively rotatable about the first arm axis, a second mode with the tool coupled to the base plate and the arm being constrained from rotating about the first arm axis, the arm being substantially stationary with respect to the base; and a third mode with the tool detached from the base plate.

A cutting apparatus is provided with a first blade (48, 82), a second blade (50, 84) intersecting with the first blade (48, 82), and a switching unit (72). The switching unit (72) switches between a first mode and a second mode. In the first mode, the first blade (48, 82) positions in a cutting position in which it is possible to cut a work-piece (12) and the second blade (50, 84) positions in a non-cutting position in which it is impossible to cut the work-piece (12). In the second mode, the second blade (50, 84) positions in the cutting position in which it is possible to cut the work-piece (12) and the first blade (48, 82) positions in the non-cutting position in which it is impossible to cut the work-piece (12).

Embodiments herein provide a modified pitch sprocket to provide an orientation of a saw chain link, such as a cutter link or drive link, with respect to the direction of travel of the link, as it traverses the sprocket that is different than the orientation of the link as it traverses a straight portion of the guide bar. In some embodiments, the modified pitch sprocket may orient the cutter link to provide radial extension for a depth gauge of the cutter link relative to a cutting element of the cutter link. This may facilitate shaping of the depth gauge and/or cutting element, such as by a sharpening element, as the cutter link traverses the sprocket.

A sheet post-processing apparatus which is capable of shortening time wasted until actual start of punching and enhancing productivity. A drive unit causes a moving member which has a cam and reciprocates. A punching member is driven by a movement of the cam of the moving member and punches a sheet when the moving member moves forth and moves back. A determination unit determines a type of the sheet. A control unit controls, when a sheet to be punched is to be subjected to a punching process, the drive unit such that the moving member starts moving before conveyance of the sheet to be punched stops, and controls, when the sheet to be punched is to be subjected to the punching process, the drive unit such that timing with which the moving member starts moving is changed based on the determination by the determination unit.

A method of manufacturing coated paper by applying a coating liquid to a strip-shaped web of paper to form a plurality of bands extending in the width direction of the web and spaced from each other in the longitudinal direction of the web includes: a coating step (S1) of applying the coating liquid to the web to form the bands with a coating band pitch narrower than a design band pitch defined as a standard for the coated paper; an aftertreatment step (S2), executed after the coating step, of drying the web; and a tension applying step (S3), executed after the aftertreatment step, of expanding the band pitch of the web by applying tension to the web to cause the band pitch of the web to approach the design band pitch.

A method is provided for forming a fire resistant cellulose product. A fire-retarding solution and a bonding agent are combined with refined cellulose fibers to form a fiber mixture, and the fire-retarding solution and bonding agent are substantially uniformly distributed with respect to the cellulose fibers within the fiber mixture. The fiber mixture is exposed to an actuating element, wherein the actuating element is configured to actuate the bonding agent so as to facilitate cohesion of the cellulose fibers and form the fiber mixture into a fiber board member, the fiber board member having opposing major surfaces. A cellulose sheet member is engaged with each major surface of the fiber board member, such that each cellulose sheet member substantially covers the respective major surface. An associated apparatus is also provided.

A method of production of a product from a stock pulp sheet uses conveyor rolls to convey a stock pulp sheet to a crusher. During conveyance to the crusher, a defective part in the stock pulp sheet is detected by a detector. The detected defective part is removed from the stock pulp sheet by a remover. The stock pulp sheet from which the defective part is removed is supplied to the crusher to produce crushed pulp. The produced crushed pulp is used to produce a product in a product producer.

A sheet manufacturing apparatus includes a defibrating unit configured to defibrate a defibration object including at least a fiber, in air. The sheet manufacturing apparatus forms a sheet by adding quantity of heat to a defibrated material defibrated at the defibrating unit. The sheet manufacturing apparatus includes a measuring unit configured to acquire moisture amount information of the defibrated material or the defibration object, and a controller configured to control the quantity of heat to be added to the defibrated material on the basis of the moisture amount information.

The system provides a method and apparatus for the dynamic distribution, deployment, and configuration of optimizable code modules for use with software workflows running on a single compute device or across a network connected grid of compute devices. The system comprises one or more collections of software and data modules stored in a content catalog, conforming to a defined interface, and having metadata conforming to a schema that enables the modules to be statically or dynamically optimized by the controlling workflow and a workflow manager. The system provides a service that enables code modules to be located, deployed, configured, and updated by the controlling workflow, the workflow manager, or a remote manager.

Embodiments of the present application provide an application program uninstallation method and apparatus. The method comprises: receiving an uninstallation instruction for a target application program (S101); deleting a specific directory in a local device to which the target application program corresponds, according to the received uninstallation instruction (S102); extracting an identifier of the target application program (S103); searching a local pre-set directory residual database to determine whether there exist any directory data that correspond to the identifier (S104), the directory data comprising at least a directory path; if such directory data exist, deleting a directory in the local device to which the directory path found corresponds, according to the search result (S105). By applying the embodiments of the present application, when the specific directory corresponding to the uninstalled application program is deleted, other directories, other than the specific directory, to which the uninstalled application program corresponds are also deleted, so that after the uninstall of the application program is completed, file residue is avoided, and the occupation of the device storage space is reduced.

Embodiments of the present invention provide a software upgrade method and apparatus, and a device. The method is applied to a software upgrade of a digital television terminal and includes: obtaining a DSI table in an upgrade data stream according to location information of the upgrade data stream that is carried in an upgrade notification message, where the DSI table carries upgrade software description information; displaying the upgrade software description information and upgrade prompt information to a user if it is determined, according to the upgrade software description information, to upgrade local software; and after the user determines to upgrade software, obtaining an upgrade software mirror in the upgrade data stream, and updating the local software according to the upgrade software mirror.

A computer-implemented method includes receiving a restore command to restore a vehicle computing system (VCS) system state. The method further includes restoring a base system state to a known, functional state and obtaining a list of applications previously installed on the VCS. The method also includes for each application previously installed on the VCS, finding a version of the application compatible with the restored base system state. Also, the method includes installing the version of each application compatible with the restored base system state.

In various embodiments, a spectral graph partitioner (“SP”) of a graph partitioning system (“GPS”) may partition a data flow graph associated with a program into a plurality of subgraphs to be used to perform analysis or debugging. The SP may generate estimated eigenvectors for a matrix representing the graph through minimization of a function on the vectors. The SP may generate multiple eigenvectors to perform the clustering in a multi-dimensional space described by the eigenvectors. The SP may refine the clustering by repeating generation of eigenvectors to describe higher-dimensional spaces and perform further clustering. The SP may also determine quality metrics for the clusters and may stop refinement based on the quality metrics. The GPS may select between utilizing the SP or utilizing one or more other partitioners based on various factors such as, for example, graph size or quality metrics. Other embodiments may be described and/or claimed.

According to one embodiment, an electronic apparatus includes an input device configured to accept a user's operation and a hardware processor. The hardware processor is configured to receive a virtual desktop image transmitted by the server apparatus, display the received virtual desktop image on a screen, transmit, in a case where a second operation other than a first operation is accepted while the virtual desktop image has been displayed, operation information indicative of the second operation to the server apparatus, and display on the screen an indicator forward of the virtual desktop image, in a case where the first operation is accepted while the virtual desktop image has been displayed, the indicator being provided to change setting of hardware of the electronic apparatus.