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Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues. (arXiv:2005.03433v1 [math.NA])

In this paper, we analyze and implement the Dirichlet spectral-Galerkin method for approximating simply supported vibrating plate eigenvalues with variable coefficients. This is a Galerkin approximation that uses the approximation space that is the span of finitely many Dirichlet eigenfunctions for the Laplacian. Convergence and error analysis for this method is presented for two and three dimensions. Here we will assume that the domain has either a smooth or Lipschitz boundary with no reentrant corners. An important component of the error analysis is Weyl's law for the Dirichlet eigenvalues. Numerical examples for computing the simply supported vibrating plate eigenvalues for the unit disk and square are presented. In order to test the accuracy of the approximation, we compare the spectral-Galerkin method to the separation of variables for the unit disk. Whereas for the unit square we will numerically test the convergence rate for a variable coefficient problem.




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New music we love: Fiona Apple's thrilling Fetch the Bolt Cutters is a rush of lacerating lyrics and swirling sonics

You don't have to wander around the internet long before bumping into a rave review of Fiona Apple's new record Fetch the Bolt Cutters: It has inspired breathless acclaim, has already been labeled a masterwork and is notably the first new album in nearly a decade that Pitchfork has assigned a perfect 10/10 rating.…




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Generating action tuples in response to discerned leads

Methods and arrangements for analyzing and responding to communications data. Telecom data are input, as are social network data. The telecom data and social network data are analyzed, and action tuples representing opportunistic leads are generated based on the analyzed telecom data and social network data.




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Method for generating visual mapping of knowledge information from parsing of text inputs for subjects and predicates

A method for performing relational analysis of parsed input is employed to create a visual map of knowledge information. A title, header or subject line for an input item of information is parsed into syntactical components of at least a subject component and any predicate component(s) relationally linked as topic and subtopics. A search of topics and subtopics is carried out for each parsed component. If a match is found, then the parsed component is taken as a chosen topic/subtopic label. If no match is found, then the parsed component is formatted as a new entry in the knowledge map. A translation function for translating topics and subtopics from an original language into one or more target languages is enabled by user request or indicated user preference for display on a generated visual map of knowledge information.




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Memory controller and operating method of memory controller

A method of operating a memory controller to control a memory device includes reading a read vector from the memory device and correcting one or more errors in the read vector, where a power consumed at the correcting is varied according to the number of errors in the read vector.




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Processor and operating method

Disclosed is a processor that is able to efficiently execute DFT operations without having part of a basic operational circuit idle even during non-DFT-operation processing. The processor (1) has an operational means (operation unit) (2) and a control means (control unit) (3). The operation means (2) has a plurality of shift addition-and-subtraction means connected such that CORDIC (COordinate Rotation DIgital Computer) operations can be executed. The shift adding-and-subtracting means also execute shift addition-and-subtraction processing of butterfly operations that process shift addition-and-subtraction for one stage or more. The control means (3) instructs the operation means (2) to execute either CORDIC operations or butterfly operations, based on a plurality of data received from the outside.




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System and method of operating a computing device to perform memoization including transforming input/output parameters to reduce redundancies and efficiently cache data

A system (200) and a method (100) of operating a computing device to perform memoization are disclosed. The method includes determining whether a result of a function is stored in a cache and, if so, retrieving the result from the cache and, if not, calculating the result and storing it in the cache. The method (100) includes transforming (104) by the computing device at least one selected from the input parameters and the output parameters of the function, the transforming being based on an analysis of the function and its input arguments to establish whether or not there is a possible relationship reflecting redundancy among the input parameters and output parameters of the function. The transforming may include at least one of: use of symmetry, scaling, linear shift, interchanging of variables, inversion, polynomial and/or trigonometric transformations, spectral or logical transformations, fuzzy transformations, and systematic arrangement of parameters.




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Generating a moving average

Devices, systems, methods, and other embodiments associated with generating a moving average are described. In one embodiment, a method includes inputting a new data value, wherein the new data value is a most recent data value in a series of M prior sequential data values that are input to an accumulator for the purpose of calculating a moving average having a window size of M. The method also includes detecting an error in the new data value and correcting the moving average, based at least in part, on the error.




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Method and apparatus for generating and transmitting code sequence in a wireless communication system

A method of generating a code sequence in a wireless communication system is disclosed. More specifically, the method includes recognizing a desired length of the code sequence, generating a code sequence having a length different from the desired length, and modifying the length of the generated code sequence to equal the desired length. Here, the step of modifying includes discarding at least one element of the generated code sequence or inserting at least one null element to the generated code sequence.




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Methods for generating multi-level pseudo-random sequences

A method for generating multi-level (or multi-bit) pseudo-random sequences is disclosed. This embodiment relates to communication systems, and more particularly to generating multi-level pseudo random symbol sequence. Present day systems do not employ effective mechanisms for generation of multi level PRBS in order to increase the data communication rates. Further, these systems do not cover all the possible transitions for the outputs of the system. The proposed system employs mechanisms in order to generate PRBS signals for producing multi levels signals to the electronic components. The mechanism employs alternate bit tapping techniques. In the alternate bit tapping technique, bits are tapped alternatively to determine the current state and the next state of the system. In addition, the mechanism also covers all the possible states of the output vector with transitions between the output states. This ensures that high data rates are obtained for a given bandwidth of operation.




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System and method for generating a virtual PCI-type configuration space for a device

An electronic data tablet has a controller and transition manager. The controller is to store in a memory of the tablet virtual configuration space information for a peripheral device of a computer, and the transition manager is to control the controller to operate in a first mode and a second mode. The virtual configuration space information is stored in the tablet memory when the first mode is to be switched to the second mode. When the second mode is switched to the first mode, the virtual configuration space information is accessed to control recognition of the peripheral device of the computer without performing a re-scanning operation.




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Data storage device and operating method thereof

A data storage device includes a first memory device configured to store data having a first property, a second memory device configured to store data having a second property, and a controller. The controller selects data stored in the first memory device, and transfers the selected data to the second memory device or stores the selected data in another physical location of the first memory device selectively depending on an update count (UC) of an address at which the selected data is stored.




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Method and apparatus for calibrating a memory interface with a number of data patterns

Apparatuses and methods of calibrating a memory interface are described. Calibrating a memory interface can include loading and outputting units of a first data pattern into and from at least a portion of a register to generate a first read capture window. Units of a second data pattern can be loaded into and output from at least the portion of the register to generate a second read capture window. One of the first read capture window and the second read capture window can be selected and a data capture point for the memory interface can be calibrated according to the selected read capture window.




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Apparatuses enabling concurrent communication between an interface die and a plurality of dice stacks, interleaved conductive paths in stacked devices, and methods for forming and operating the same

Various embodiments include apparatuses, stacked devices and methods of forming dice stacks on an interface die. In one such apparatus, a dice stack includes at least a first die and a second die, and conductive paths coupling the first die and the second die to the common control die. In some embodiments, the conductive paths may be arranged to connect with circuitry on alternating dice of the stack. In other embodiments, a plurality of dice stacks may be arranged on a single interface die, and some or all of the dice may have interleaving conductive paths.




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Electronic devices and methods for sharing peripheral devices in dual operating systems

A method for sharing peripheral devices in dual operating systems for an electronic device having at least one peripheral device is provided. The method includes: receiving a setting value for the peripheral device under the first operating system from a user; activating a second operating system; transmitting the setting value to the second operating system; and switching from the first operating system to the second operating system, wherein the second operating system sets the peripheral device with the setting value and enables the electronic device to operate under the second operating system.




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Method and apparatus for generating metadata for digital content

A method and an apparatus for generating metadata for digital content are described, which allow to review the generated metadata already in course of ongoing generation of metadata. The metadata generation is split into a plurality of processing tasks, which are allocated to two or more processing nodes. The metadata generated by the two or more processing nodes is gathered and visualized on an output unit.




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System and method for below-operating system trapping and securing loading of code into memory

A system for protecting an electronic device against malware includes a memory, an operating system configured to execute on the electronic device, and a below-operating-system security agent. The below-operating-system security agent is configured to trap an attempted access of a resource of the electronic device, access one or more security rules to determine whether the attempted access is indicative of malware, and operate at a level below all of the operating systems of the electronic device accessing the memory. The attempted access includes attempting to write instructions to the memory and attempting to execute the instructions.




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Process for separating chlorinated methanes

The present invention relates to a process for separating chlorinated methanes utilizing a dividing wall column. Processes and manufacturing assemblies for generating chlorinated methanes are also provided, as are processes for producing products utilizing the chlorinated methanes produced and/or separated utilizing the present process(es) and/or assemblies.




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Virtualization support for branch prediction logic enable / disable at hypervisor and guest operating system levels

A hypervisor and one or more guest operating systems resident in a data processing system and hosted by the hypervisor are configured to selectively enable or disable branch prediction logic through separate hypervisor-mode and guest-mode instructions. By doing so, different branch prediction strategies may be employed for different operating systems and user applications hosted thereby to provide finer grained optimization of the branch prediction logic for different operating scenarios.




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Generating hardware events via the instruction stream for microprocessor verification

A processor receives an instruction operation (OP) code from a verification system. The instruction OP code includes instruction bits and forced event bits. The processor identifies a forced event based upon the forced event bits, which is unrelated to an instruction that corresponds to the instruction bits. In turn, the processor executes the forced event.




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System for generating readable and meaningful descriptions of stream processing source code

An information processing system, computer readable storage medium, and method for automatically generating human readable and meaningful documentation for one or more source code files. A processor of the information processing system receives one or more source code files containing source code artifacts (SCA) and infers semantics therefrom based on predefined rules. The processor, based on the inferred semantics, extracts documentation from another source code file. The extracted documentation and the inferred semantics are used to generate new human readable and meaningful documentation for the SCA, such new documentation being previously missing from the SCA. The generated new documentation is included with the SCA in one or more source code files.




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System and method for generating software unit tests simultaneously with API documentation

A system and method may generate unit tests for source code concurrently with API documentation. The system may receive a source code file including several comments sections. Each comments section may include a description of a source code unit such as a class, method, member variable, etc. The description may also correspond to input and output parameters the source code unit. The system and method may parsing the source code file to determine a source code function type corresponding to the unit description and copy the unit description to a unit test stub corresponding to the function type. A developer or another module may then complete the unit test stub to transform each stub into a complete unit test corresponding to the source code unit. Additionally, the system and method may execute the unit test and generate a test result indication for each unit test.




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Method for operating an internal combustion engine

A method for operating an internal combustion engine in which a speed-based feature of the internal combustion engine, which is correlated with an indicated mean effective pressure of the fuel, is determined during the warm-up of the internal combustion engine and an ideal fuel quantity, which is to be injected into at least one combustion chamber of the internal combustion engine during the warm-up, is ascertained therefrom.




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Dive computer incorporating stored dive site information

Dive computers in accordance with embodiments of the invention are disclosed that store information concerning a dive site. The stored information can be accessed during the dive to provide information concerning such things as points of interest and/or hazards. One embodiment of the invention includes a processor, memory connected to the processor, a pressure transducer connected to the processor and configured to measure depth, and a display connected to the processor. In addition, the memory contains factual information concerning a dive site, and the processor is configured to display at least a portion of the stored factual information concerning the dive site via the display.




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Navigation system and methods for generating enhanced search results

A navigation system and various methods of using the system are described herein. Search query results are refined by the system and are prioritized based at least in part upon sub-search categories selected during the searching process. Sub-searches can be represented by graphical icons displayed on the user interface.




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Integrating multiple FPGA designs by merging configuration settings

This disclosure relates generally to field-programmable gate arrays (FPGAs). Some implementations relate to methods and systems for transmitting and integrating an intellectual property (IP) block with another user's design. The IP developer can design the IP block to include both a secret portion and a public portion. The IP block developer can send or otherwise provide the IP block to another IP user without disclosing the functional description of the secret portion of the IP block. In some implementations, the IP developer provides the public portion to the IP user at the register-transfer-level (RTL) level, as a hardware description language (HDL)-implemented design, or as a synthesizable netlist. In some implementations, the IP developer provides the secret portion of the IP block to the user in the form of programming bits without providing an HDL, RTL, or netlist implementation of the secret portion.




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Generating guiding patterns for directed self-assembly

Aspects of the invention relate to techniques of generating guiding patterns for via-type feature groups. A guiding pattern may be constructed for a via-type feature group that comprises two or more via-type features in a layout design. A backbone structure may then be determined for the guiding pattern. Based on the backbone structure and a self-assembly model, simulated locations of the two or more via-type features are computed. The simulated locations are compared with targeted locations. If the simulated locations do not match the targeted locations based on a predetermined criterion, the simulated locations adjusted to derive modified locations. Using the modified locations, the above operations may be repeated until the simulated locations match the targeted location based on a predetermined criterion or for a predetermined number of times.




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Method and apparatus for generating gate-level activity data for use in clock gating efficiency analysis

A mechanism for generating gate-level activity data for use in clock gating efficiency analysis of an integrated circuit (IC) design is provided. Generating the gate-level activity data includes generating a signal behaviour description for inter-register signals, generating a gate-level netlist for the IC design, generating gate-level stimuli based at least partly on the generated signal behaviour description, and performing gate-level simulation using the generated gate-level stimuli to generate gate-level activity data for the IC design. In one embodiment, generating the signal behaviour description includes performing Register Transfer Level (RTL) simulation of the IC design, and generating the gate-level netlist includes performing RTL synthesis. The RTL simulation and RTL synthesis are performed on RTL data for the IC design.




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Energy storage device and operating method

In order to store excess kinetic energy, an energy storage device and an operating method are described, in which the kinetic energy can be partially converted into electrical energy by a first electric machine using at least two electric machines arranged on a shaft and can be partially converted into additional kinetic energy, such as rotational energy, by a second electric machine. The method for energy storage of excess kinetic energy provides for converting kinetic energy partially into electric energy and partially into additional kinetic energy, such as rotational energy.




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Systems, methods, and apparatus for calibrating, controlling, and operating a quantum processor

Quantum annealing may include applying and gradually removing disorder terms to qubits of a quantum processor, for example superconducting flux qubits of a superconducting quantum processor. A problem Hamiltonian may be established by applying control signals to the qubits, an evolution Hamiltonian established by applying disorder terms, and annealing by gradually removing the disorder terms. Change in persistent current in the qubits may be compensated. Multipliers may mediate coupling between various qubits and a global signal line, for example by applying respective scaling factors. Two global signal lines may be arranged in an interdigitated pattern to couple to respective qubits of a communicatively coupled pair of qubits. Pairs of qubits may be communicatively isolated and used to measure a response of one another to defined signals.




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Portable self contained light generating device powered by a flow of falling granular material

A portable self contained light generating device which is powered by a flow of granular material falling under the influence of gravity to impinge upon and cause a paddle wheel to rotate thereby turning a small generator producing electricity to power one or more light emitting diodes for illumination. The device equipped with a multi-position power/illumination control switch and in some embodiments also provided with a battery providing supplemental power.




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Systems and methods for operating a flash memory file system

A flash memory file system including a plurality of flash modules. Each of the plurality of flash modules includes a respective cache memory, a respective flash memory, and a respective flash controller in communication with the respective cache memory and the respective flash memory. A first flash module of the plurality of flash modules is configured to receive a file lookup message including a path name for file data stored on a second flash module of the plurality of flash modules. A third flash module of the plurality of flash modules is configured to select the second flash module based on the path name and a directory table, and generate a file metadata message responsive to the file lookup message. The file metadata message identifies the second flash module as containing the file data.




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Hydrocarboxylation of aqueous formaldehyde using a dehydrating recycle stream to decrease water concentration

Disclosed is a process for the production and purification of glycolic acid or glycolic acid derivatives by the carbonylation of aqueous formaldehyde. The water in the hydrocarboxylation zone is reduced via reaction with the ester bonds in a recycle stream comprising glycolic acid oligomers and/or methyl glycolate oligomers.




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Device incorporating data communication function

A device incorporating a data communication function 15 having a power supply circuit 38 of a dispersed power supply system is provided with a terminal 51-2 for receiving power supply from another device 14 which initiates data communication and a drive circuit 53-2 for performing the data communication with the another device 14, wherein when the terminal 51-2 is supplied with power, the power supplied to the terminal 51-2 is supplied to the drive circuit 53-2 in an off state of the power supply circuit 38. It thereby reduces self-power-loss and ensures reliability of performance.




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Multi-cluster processing system and method of operating the same

A multi-cluster processing system and a method of operating a multi-cluster processing system are provided. The multi-cluster processing system includes: a first cluster including a plurality of first-type cores: a second cluster including a plurality of second-type cores; and a control unit configured to monitor loads of the first-type cores and the second-type cores, wherein when utilization of at least one of enabled first-type cores exceeds a predetermined threshold utilization of each of the first-type cores, the control unit enables at least one of disabled first-type cores in a first mode, and the control unit enables at least one of the disabled second-type cores and disables the first cluster in a second mode, wherein an amount of computation per unit of time of each of the second-type cores is greater than an amount of computation per unit of time of each of the first-type cores.




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Method for operating invisible system services on android platform

A method for operating an invisible system service on Android platform is disclosed. The method for operating system services on Android platform includes selectively registering a created system service in a context manager according to a type of the created system service, where the type of the system service comprises a first type for permitting access from an outside and a second type for not permitting access from the outside, and the selectively registering comprises registering in the context manager the created system service belonging to the first type and not registering in the context manager the created system service belonging to the second type.




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3D ultrasound system for intuitive displaying to check abnormality of object and method for operating 3D ultrasound system

Provided are a three-dimensional (3D) ultrasound system and a method for operating the 3D ultrasound system, which are capable of intuitively displaying the abnormality of an object by determining a grade by comparing measurement data obtained by measuring ultrasound data relating to the object and displaying the measurement data in a different way based on the determined grade.




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Interpenetrating polymer networks derived from silylated triglyceride oils and polysiloxanes

A composition of matter comprising an interpenetrating polymer network of a combination of a silanol-containing polysiloxane phase and a silylated triglyceride oil phase. The two phases are mixed and covalently bound to each other via siloxane crosslinks. A method for producing interpenetrating polymer networks. The method comprises providing triglycerides from oils or fats and reacting the triglycerides with a reactive silane to form a silylated triglyceride oil. The silylated triglyceride oil and a silanol terminated polysiloxane are emulsified with water in a predetermined ratio. Thereafter, crosslinking agents are added and the water is removed from the emulsions providing siloxane crosslinks between the two intimately mixed immiscible phases.




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Hydrophobic ceragenin compounds and devices incorporating same

A hydrophobic cationic steroidal anti-microbial (ceragenin) compound forms an amphiphilic compound having a hydrophobic sterol face and a hydrophilic cationic face. The hydrophobic CSA also includes a hydrophobic substituent that gives the ceragenin compound a CLogP value of at least 6.5.




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Method of generating a mass spectrum having improved resolving power

A method is disclosed for generating a mass spectrum, e.g. for Fourier transform mass spectrometry, having improved resolving power. The method includes steps of acquiring a plurality of mass spectra from a mass spectrometer using image current detection determining the centroids of at least some of the peaks which have a sufficient signal-to-noise (S/N) ratio so that the variation of the centroid of each such peak from the plurality of mass spectra is significantly lower than the full-width at half-maximum, dM, of the peak in the m/z domain; and generating a histogram of the centroids determined from the plurality of acquired mass spectra thereby forming a composite mass spectrum. The resultant composite mass spectrum comprises peaks having full-width at half-maximum, dMC, significantly narrower than the peak width, dM, of the corresponding peaks in the plurality of acquired mass spectra.




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Operating method of sensor node, operating method of data sink in sensor network, and sensor network

Provided is an operating method of a sensor node. The operating method of a sensor node includes receiving a sensing request, adjusting a sensing condition on the basis of the received sensing request, and sensing according to the adjusted sensing condition.




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Apparatus and method for separating and concentrating fluids containing multiple components

An apparatus that allows for separating and collecting a fraction of a sample. The apparatus, when used with a centrifuge, allows for the creation of at least three fractions in the apparatus. It also provides for a new method of extracting the buffy coat phase from a whole blood sample and mesenchymal stem cells from bone reaming material. A buoy system that may include a first buoy portion and a second buoy member operably interconnected may be used to form at least three fractions from a sample during a substantially single centrifugation process. Therefore, the separation of various fractions may be substantially quick and efficient.




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Method for simply separating carbon nanotube

Disclosed are a method and an apparatus for separating metallic CNT and semiconducting CNT, comprising treating with a physical separation means of centrifugation, freezing-thawing-squeezing, diffusion, permeation or the like using a gel containing CNT as a dispersed and isolated state (CNT-containing gel), to thereby make semiconducting CNT exist in gel and make metallic CNT exist in solution.




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Method of separating free oil from fat

A syringe piston used in fat transplantation is structured such that free oil is easily separated from suctioned fat by a syringe piston having a filter and naturally discharged through the rear side thereof. The syringe piston without a shaft, used in fat transplantation, disposed in a syringe-shaped cylindrical vessel, includes a piston body without the shaft, a packing coupled with an outer surface of the piston body to seal between the piston body and the syringe-shaped cylindrical vessel, a free oil discharging hole communicated with the front side and the rear side of the piston body, an opening and closing device for opening and closing the free oil discharging hole, and a filtering device disposed in a passage through which free oil is discharged to filter fat and pass the free oil.




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Centrifuge for separating of whole blood into blood components as well as fluidically communicating containers for insertion into the centrifuge, as well as a method for obtaining a highly enriched thrombocyte concentrate out of whole blood

The invention refers to a centrifuge for separating whole blood into its blood components and a method for extracting a highly enriched thrombocyte concentrate out of whole blood. For this purpose, the centrifuge comprises a closed loop and/or open-loop control unit as well as a drive unit coupled to the closed loop and/or open-loop control unit, a rotor (12) having at least two container receptacles (14a, 14b; 16a, 16) for removably holding containers (18, 20, 22, 24) being in fluid communication with each other, at least one sensor arranged between the container receptacles (14a, 14b; 16a, 16b) and coupled with the closed loop and/or open-loop control unit for detecting a separation layer. Herein, a motor/gear unit (30a, 30b, 32a, 32b) coupled to the closed loop and/or open-loop control unit is associated with each of the container receptacles (14a, 14b; 16a, 16b). Each of the motor/gear units is in operational contact through means (34) with each of the containers (18, 20, 22, 24) supported in the respective container receptacle (14a, 14b; 16a, 16b) such that a transfer and back-transfer of blood components between the containers (18, 20, 22, 24) is initiated.




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Method and apparatus for concentrating platelets from platelet-rich plasma

An apparatus for use with a centrifugal cellular separation device that comprises a rotor rotatable about an axis of rotation is provided that comprises a fluid separation chamber having a first port, a second port spaced apart from the first port, and a third port located intermediate the first port and the second port. The fluid separation chamber has a cross sectional area generally transverse to a radius extending from the axis of rotation that varies between the first port and the second port. The fluid separation chamber is adapted to be mounted to the rotor so as to be rotatable therewith, with the first port located at a greater radial distance from the axis than the second port, and the third port located radially intermediate the first port and the second port.




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Methods and systems for generating thermal bubbles for improved ultrasound imaging and therapy

A method and system uniquely capable of generating thermal bubbles for improved ultrasound imaging and therapy. Several embodiments of the method and system contemplates the use of unfocused, focused, or defocused acoustic energy at variable spatial and/or temporal energy settings, in the range of about 1 kHz-100 MHz, and at variable tissue depths. The unique ability to customize acoustic energy output and target a particular region of interest makes possible highly accurate and precise thermal bubble formation. In an embodiment, the energy is acoustic energy. In other embodiments, the energy is photon based energy (e.g., IPL, LED, laser, white light, etc.), or other energy forms, such radio frequency electric currents (including monopolar and bipolar radio-frequency current). In an embodiment, the energy is various combinations of acoustic energy, electromagnetic energy and other energy forms or energy absorbers such as cooling.




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Nozzle separating structure of oral irrigator

A structure for separating a discharge nozzle of an oral irrigator includes a first discharge path formed in one side of the irrigator body, a water pressure control lever rotatably arranged above the first discharge path and having a second discharge path in the other side of the irrigator body, a release button section provided on an upper portion of the water pressure control lever and into which the discharge nozzle is inserted and engaged, and configured, when pushed, to be bent so as to release the engaged discharge nozzle, and a locking section provided in the release button section and water pressure control lever to control a pushing operation of the release button section depending upon whether the first discharge path is open or blocked.




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Template and method of making high aspect ratio template for lithography and use of the template for perforating a substrate at nanoscale

Template and method of making high aspect ratio template, stamp, and imprinting at nanoscale using nanostructures for the purpose of lithography, and to the use of the template to create perforations on materials and products.




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Torch with operating device

A torch includes a tank adapted to contain a fuel, a firebowl atop the tank defining a fill opening, and an operating device that fits over the firebowl as a snuffer. A closing device may be fitted into the fill opening. The closing device may be movable between a lowered closed position and a raised open position. The closing device defines at least one recess for receiving a portion of an operating device that moves the closing device between the open and closed positions.