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Processes of preparing estolide compounds that include removing sulfonate residues

Provided herein are processes of preparing sulfonated estolide compounds, and the removal of sulfonate residues from those compounds to provide desulfonated estolide base oils. Exemplary sulfonated estolide compounds include those selected from the formula: wherein z is an integer selected from 0 to 15; q is an integer selected from 0 to 15; x is, independently for each occurrence, an integer selected from 0 to 20; y is, independently for each occurrence, an integer selected 0 to 20; n is equal to or greater than 0; R6 is selected from —OH, optionally substituted alkyl, and optionally substituted aryl; and R2 is selected from hydrogen and optionally substituted alkyl that is saturated or unsaturated, and branched or unbranched, wherein each fatty acid chain residue of said compounds is independently optionally substituted.




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Processes for making compounds useful as inhibitors of ATR kinase

The present invention relates to processes and intermediates for preparing compounds useful as inhibitors of ATR kinase, such as aminopyrazine-isoxazole derivatives and related molecules. The present invention also relates to compounds useful as inhibitors of ATR protein kinase. The invention relates to pharmaceutically acceptable compositions comprising the compounds of this invention; methods of treating of various diseases, disorders, and conditions using the compounds of this invention; processes for preparing the compounds of this invention; intermediates for the preparation of the compounds of this invention; and solid forms of the compounds of this invention. The compounds of this invention have formula I or II: wherein the variables are as defined herein.




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Benzylpyrrolidinone derivatives as modulators of chemokine receptor activity

The present application describes modulators of MCP-1 or CCR-2 of formula or stereoisomers or prodrugs or pharmaceutically acceptable salts thereof, wherein m, n, W, X, R1 and R6, are defined herein. In addition, methods of treating and preventing inflammatory diseases such as asthma and allergic diseases, as well as autoimmune pathologies such as rheumatoid arthritis and transplant rejection using modulators of formula (I) are disclosed.




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4,6-disubstituted pyrimidines useful as kinase inhibitors

The present invention provides 4,6-disubstituted pyrimidine compounds useful as kinase inhibitors, pharmaceutically acceptable compositions thereof, and methods of using the same.




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Compounds and methods useful for directing stem cell differentiation

The presently-disclosed subject matter relates to compounds of the formula: and methods for use thereof. The presently-disclosed subject matter relates methods of selectively differentiating a stem cell, and methods of screening for compounds useful for enhancing terminal differentiation of committed cardiac progenitor cells.




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Polyamide moulding materials containing copolyamides for producing transparent moulding parts with low distorsion in climatic testing

Polyamide molding materials for transparent molding parts. The materials comprise transparent copolyamides that contain: (A) 40 to 100 wt % of at least one transparent copolyamide with a glass transition temperature (Tg) of at least 80° C. and not more than 150° C., composed of at least two diamines that are different from each other, wherein the at least two diamines are a mixture of (a) 50 to 90 mol % bis-(4-amino-3-methylcyclohexyl)methane (MACM) and/or bis-(4-amino-3-ethylcyclohexyl)methane (EACM) and/or bis-(4-amino-3,5-dimethylcyclohexyl)methane (TMACM) and b) 10 to 50 mol % aliphatic diamine having 9 to 14 carbon atoms, in particular decandiamine, particularly preferably at least 20 mol % decandiamine, each relative to the total amount of diamines, and of one or more aliphatic dicarboxylic acids, having 6 to 36 carbon atoms, (B) 0 to 60 wt % of at least one further polymer, (C) 0 to 10 wt % of additives, the sum of the components (A), (B) and (C) totaling 100% by weight.




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Formulations comprising isosorbide-modified unsaturated polyester resins and low profile additives which produce low shrinkage matrices

Formulations comprising an isosorbide-modified unsaturated polyester comprising maleic acid, fumaric acid, itaconic acid or maleic anhydride and isosorbide and one or more low profile additives. The formulations exhibit better shrink control in molding compound formulations with standard low profile additives than their non-isosorbide-modified analogues. These isosorbide-modified unsaturated polyester resins may be applied in molding compounds like sheet molding compounds or bulk molding compounds and may be components of fiber reinforced composites or other composite materials.




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Color changing caulk

A caulk composition having a first color upon application and a second color upon formation of a skin, wherein said skin is suitable for application of a surface treatment.




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Aqueous dispersions of microgel encapsulated particles utilizing hyperbranched acrylic polymers

An aqueous dispersion includes particles at least partially encapsulated in a microgel where the microgel is prepared from a hyperbranched acrylic polymer. In addition, a method for making an aqueous dispersion includes: (1) mixing in an aqueous medium: (a) particles, (b) at least one ethylenically unsaturated monomer, and (c) a water-dispersible hyperbranched acrylic polymer having ethylenic unsaturation; and (2) polymerizing the at least one ethylenically unsaturated monomer and water-dispersible hyperbranched acrylic polymer having ethylenic unsaturation to at least partially encapsulate the particles in a microgel.




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Certain glyceryl phosphate-cyclic ammonium compounds useful for treating hypertension

A glycerol derivative which is effective to reduce blood pressure and has the formula: ##STR1## wherein R1 is an alkyl group having 10-22 carbon atoms, R2 is a lower acyl group or benzoyl, each of R3 and R4 independently is hydrogen or a straight or branched chain alkyl group having 1-6 carbon atoms; each of R5, R6 and R7 independently is hydrogen, a straight or branched chain alkyl group having 1-6 carbon atoms, an aryl group or an aralkyl group; and each of m and n independently is 0 or a positive integer under the condition of m+n=2-8.




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Method for removing parasites and in particular ectoparasites of vertebrates, in particular of mammals, and compositions for the implementation of this method

Methods for removing parasites and in particular ectoparasites of vertebrates, in particular of mammals, and compositions for the implementation of this method.Methods for removing parasites of vertebrates, and in particular arthropods, mainly insects and Arachnida, wherein an effectively parasiticidal amount of a compound of formula (I) ##STR1## in particular of fipronil, is administered to the animal via an administration route which makes possible systemic distribution and good absorption.




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Ultra-broad bandwidth laser glasses for short-pulse and high peak power lasers

The invention relates to glasses for use in solid laser applications, particularly short-pulsed, high peak power laser applications. In particular, the invention relates to a method for broadening the emission bandwidth of rare earth ions used as lasing ions in solid laser glass mediums, especially phosphate-based glass compositions, using Nd and Yb as co-dopants. The invention further relates to a laser system using a Nd-doped and Yb-doped phosphate laser glass, and a method of generating a laser beam pulse using such a laser system.




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Bismuth borate glass encapsulant for LED phosphors

Embodiments are directed to glass frits containing phosphors that can be used in LED lighting devices and for methods associated therewith for making the phosphor containing glass frit and their use in glass articles, for example, LED devices.




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Glass microspheres comprising sulfide, and methods of producing glass microspheres

A method for manufacturing a plurality of glass microspheres comprises: melting a batch into a first glass melt in a melter system, processing the first glass melt into a second glass, pulverizing the second glass into a plurality of glass fragments, thermally processing the plurality of glass fragments into a plurality of glass microspheres, providing at least one of a plurality of redox reactions and a plurality of events in at least one of the first glass melt and a melt of the second glass, and the plurality of redox reactions and the plurality of events are induced by a plurality of redox active group (RAG) components.




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Dielectric ceramic material and multilayer ceramic capacitor using the same

A dielectric ceramic material comprises a primary component of barium titanate (BaTiO3) and at least one additive component. The additive component has a mole percentage from 1% to 50% and is selected from the group consisting of lithium tantalite (LiTaO3), barium cerate (BaCeO3), sodium metaniobate (NaNbO3) and the combinations thereof.




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Glass composition for producing high strength and high modulus fibers

A glass composition including SiO2 in an amount from 74.5 to 80.0% by weight, Al2O3 in an amount from 5.0 to 9.5%>> by weight, MgO in an amount from 8.75 to 14.75% by weight, CaO in an amount from 0.0 to 3.0% by weight, Li2O in an amount from 2.0 to 3.25% by weight, Na2O in an amount from 0.0 to 2.0% by weight is provided. Glass fibers formed from the inventive composition may be used in applications that require high strength, high stiffness, and low weight. Such applications include woven fabrics for use in forming wind blades, armor plating, and aerospace structures.




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Powder comprising stabilized zirconia granules and a binder having Tg of 25C or lower

The invention relates to a granulated powder intended, in particular, for the production of ceramic sintered parts, said powder having the following chemical weight composition, based on dry matter, namely: a zirconia stabiliser selected from the group containing Y2O3, Sc2O3, MgO, CaO, CeO2, and mixtures thereof, the weight content of stabiliser, based on the total zirconia and stabiliser content, being between 2% and 20% and the MgO+CaO content being less than 5% based on the total zirconia and stabiliser content; at least 1% of a first binder having a glass transition temperature less than or equal to 25° C.; 0-4% of an additional binder having a glass transition temperature greater than 25° C.; 5-50% alumina; 0-4% of a temporary additive different from the first binder and the additional binder, the total content of the first binder, the additional binder and the temporary additive being less than 9%; less than 2% impurities; and ZrO2 to make up 100%. According to the invention, the median diameter D50 of the powder is between 80 and 130 μm, the percentile D99.5 is less than 500 μm and the relative density of the granules is between 30% and 60%.




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Separation of components from a multi-component hydrocarbon stream which includes ethylene

A process to separate a multi-component hydrocarbon stream which includes ethylene and other components with at least some of the components being present in a number of phases, is provided. The process includes in a first flash stage, flashing the multi-component hydrocarbon stream, from an elevated pressure and temperature to a pressure in the range of 10-18 bar(a), producing a first ethylene-containing vapor stream at a pressure in the range of 10-18 bar(a) and a multi-phase stream which includes some ethylene. In a second flash stage, the multi-phase stream is flashed to a pressure of less than 6 bar(a), producing a second vapor stream at a pressure of less than 6 bar(a) and a bottoms stream. The first ethylene-containing vapor stream is removed from the first flash stage, the second vapor stream is removed from the second flash stage and the bottoms stream is removed from the second flash stage.




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Methods for removing weakly basic nitrogen compounds from a hydrocarbon stream using basic molecular sieves

Disclosed is a method for removing weakly basic nitrogen compounds from a hydrocarbon feed stream by contacting the hydrocarbon feed stream with a basic catalyst to convert a portion of the weakly basic nitrogen compounds to basic nitrogen compounds. The method also includes contacting the hydrocarbon feed stream with an acidic adsorbent to adsorb the basic nitrogen compounds from the stream. The hydrocarbon feed stream comprises an aromatic compound and a weakly basic nitrogen compound.




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System and process for flushing residual fluid from transfer lines in simulated moving bed adsorption

A process according to various approaches includes flushing an intermediate transfer line between a raffinate stream transfer line and a desorbent stream transfer line away from the adsorptive separation chamber to remove residual fluid including desorbent from intermediate transfer line. The process may include directing the residual fluid flushed from the intermediate transfer line to a recycle stream to introduce the residual fluid into the adsorptive separation chamber.




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Demulsifying of hydrocarbon feeds

In various aspects, the invention provides for processing a hydrocarbon feed having hydrocarbon and emulsified aqueous components demulsifying into hydrocarbon and aqueous phases over an initial demulsification time, with an active agent to form a treated feed. The active agent has an active agent solubility in the hydrocarbon component and in the aqueous component, the aqueous component has an aqueous component solubility in the hydrocarbon component. The active agent solubility in the hydrocarbon component is greater than the aqueous component solubility in the hydrocarbon component. The active agent solubility in the aqueous component is greater than the active agent solubility in the hydrocarbon component. The active agent solubility in the aqueous component is greater than the active agent solubility in the hydrocarbon component. A treated demulsified hydrocarbon phase separates from the active agent and the aqueous component in a modified demulsification time that is shorter than the initial demulsification time.




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Use of phosphorus modified molecular sieves in conversion of organics to olefins

A method of making light olefins in a combined XTO (organics to olefins) and OCP (olefins cracking) process, from an oxygen-containing, halogenide-containing, or sulphur-containing organic feedstock contacted with a catalyst in a first reactor to convert the feedstock into a reactor effluent comprising light olefins and a heavy hydrocarbon fraction; separating the light olefins from the heavy hydrocarbon fraction, then contacting the heavy hydrocarbon fraction in a second reactor with a catalyst to convert a portion of the heavy hydrocarbons into light olefins; wherein the catalyst is a zeolite selected among a H+ or NH4+—form of MFI, MEL, FER, MOR, or clinoptilolite; modifying the zeolite by adding from 0.05 to 7 wt % of phosphorous to the zeolite, and an optional washing and/or drying in either order, then calcination. In an embodiment, the initial zeolite Si:Al atomic ratio of at least one catalyst is 100 or less.




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Spin-transfer torque magnetic random access memory (STTMRAM) with perpendicular laminated free layer

A perpendicular spin-transfer torque magnetic random access memory (STTMRAM) element includes a fixed layer having a magnetization that is substantially fixed in one direction and a barrier layer formed on top of the fixed layer and a free layer. The free layer has a number of alternating laminates, each laminate being made of a magnetic layer and an insulating layer. The magnetic layer is switchable and formed on top of the barrier layer. The free layer is capable of switching its magnetization to a parallel or an anti-parallel state relative to the magnetization of the fixed layer during a write operation when bidirectional electric current is applied across the STTMRAM element. Magnetic layers of the laminates are ferromagnetically coupled to switch together as a single domain during the write operation and the magnetization of the fixed and free layers and the magnetic layers of the laminates have perpendicular anisotropy.




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Sensor for biomolecules

A sensor for biomolecules includes a silicon fin comprising undoped silicon; a source region adjacent to the silicon fin, the source region comprising heavily doped silicon; a drain region adjacent to the silicon fin, the drain region comprising heavily doped silicon of a doping type that is the same doping type as that of the source region; and a layer of a gate dielectric covering an exterior portion of the silicon fin between the source region and the drain region, the gate dielectric comprising a plurality of antibodies, the plurality of antibodies configured to bind with the biomolecules, such that a drain current flowing between the source region and the drain region varies when the biomolecules bind with the antibodies.




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Low molecular weight cationic lipids for oligonucleotide delivery

The instant invention provides for novel cationic lipids that can be used in combination with other lipid components such as cholesterol and PEG-lipids to form lipid nanoparticles with oligonucleotides. It is an object of the instant invention to provide a cationic lipid scaffold that demonstrates enhanced efficacy along with lower liver toxicity as a result of lower lipid levels in the liver. The present invention employs low molecular weight cationic lipids with one short lipid chain to enhance the efficiency and tolerability of in vivo delivery of siRNA.




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Initialization method of a perpendicular magnetic random access memory (MRAM) device

Methods using a sequence of externally generated magnetic fields to initialize the magnetization directions of each of the layers in perpendicular MTJ MRAM elements for data and reference bits when the required magnetization directions are anti-parallel are described. The coercivity of the fixed pinned and reference layers can be made unequal so that one of them can be switched by a magnetic field that will reliably leave the other one unswitched. Embodiments of the invention utilize the different effective coercivity fields of the pinned, reference and free layers to selectively switch the magnetization directions using a sequence of magnetic fields of decreasing strength. Optionally the chip or wafer can be heated to reduce the required field magnitude. It is possible that the first magnetic field in the sequence can be applied during an annealing step in the MRAM manufacture process.




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Biomolecular sensor with plural metal plates and manufacturing method thereof

Disclosed are a biomolecular sensor and a method of fabricating the same having high sensitivity and resolution by using a plurality of metal plates that change electrical properties of a plurality of nanostructures according to the attachment of biomolecules. The biomolecular sensor includes a substrate, first and second electrodes disposed to be spaced apart from each other on the substrate, a plurality of nanostructures disposed on the substrate to connect the first and second electrodes to each other, and a plurality of metal plates that change electrical properties of the plurality of nanostructures according to the attachment of biomolecules.




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Methods of preparing metal quantum clusters in molecular confinement

Methods for the synthesis of metal quantum clusters within the framework of a porous gel matrix are described. For example, Ag25(glutathione)18 quantum clusters are synthesized in a cross-linked polyacrylamide gel matrix. The methods can be performed on large-scale and yields monodispersed metal quantum clusters.




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Stimulus responsive nanoparticles

Disclosed are various embodiments of methods and systems related to stimulus responsive nanoparticles. In one embodiment includes a stimulus responsive nanoparticle system, the system includes a first electrode, a second electrode, and a plurality of elongated electro-responsive nanoparticles dispersed between the first and second electrodes, the plurality of electro-responsive nanorods configured to respond to an electric field established between the first and second electrodes.




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Liquid crystal display module

A liquid crystal display module includes a liquid crystal module and a polarizer stacked with each other. The polarizer includes a polarizing layer, a transparent conductive layer and at least two driving-sensing electrodes. The polarizing layer and the transparent conductive layer are stacked with each other. The at least two driving-sensing electrodes are spaced from each other and electrically connected with the transparent conductive layer.




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Multi-modality nanoparticles having optically responsive shape

In certain embodiments novel nanoparticles (nanowontons) are provided that are suitable for multimodal imaging and/or therapy. In one embodiment, the nanoparticles include a first biocompatible (e.g., gold) layer, an inner core layer (e.g., a non-biocompatible material), and a biocompatible (e.g., gold) layer. The first gold layer includes a concave surface that forms a first outer surface of the layered nanoparticle. The second gold layer includes a convex surface that forms a second outer surface of the layered nanoparticle. The first and second gold layers encapsulate the inner core material layer. Methods of fabricating such nanoparticles are also provided.




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Thermosetting resin composition, B-stage heat conductive sheet, and power module

Provided is a thermosetting resin composition including an inorganic filler and a thermosetting resin matrix component, in which the inorganic filler includes secondary sintered particles each formed of primary particles of scaly boron nitride, and at least some of the secondary sintered particles each have a maximum cavity diameter of 5 μm to 80 μm. The thermosetting resin composition can be used for providing a heat conductive sheet in which electrical insulation property is kept by controlling where the defects such as voids and cracks occur and their size, and which has excellent heat conductivity.




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Emulsion polymers with improved wet scrub resistance having one or more silicon containing compounds

Aqueous copolymer dispersions for a variety of uses, including coating compositions or binders for plasters and paints, are disclosed. The aqueous copolymer dispersions may comprise one or more silicon containing compounds, in particular hydrolyzable silane compounds without any additional reactive group.




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Multifunctional hyperbranched organic intercalating agent, method for its manufacture and its use

A facile synthesis of amphiphilic hyperbranched polymers consisting of poly(amic acid) and polyimide was developed via “A2+B3” approach from difunctional anhydride and trifunctional hydrophilic poly(oxyalkylene)triamine. Various amphiphilic hyperbranched poly(amic acid)s (HBPAAs) with terminal amine functionalities and amic acid structures were prepared through ring-opening polyaddition at room temperature, followed by thermal imidization process for the formation of hyperbranched polyimides (HBPIs), accordingly. The resulting HBPIs were analyzed by GPC, indicating the molecule weights of 5000˜7000 g/mol with a distribution of polydispersity between 2.0 and 3.8. The amine titration for HBPIs indicated the peripheral total-amine contents to be 8.32˜18.32 mequiv/g dependent on compositions.




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Epoxy resin composition for encapsulating semiconductor, semiconductor device, and mold releasing agent

Disclosed is an epoxy resin composition used for encapsulation of a semiconductor containing an epoxy resin (A), a curing agent (B), an inorganic filler (C) and a mold releasing agent, in which the mold releasing agent contains a compound (D) having a copolymer of an α-olefin having 28 to 60 carbon atoms and a maleic anhydride esterified with a long chain aliphatic alcohol having 10 to 25 carbon atoms.




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I/O linking, TAP selection and multiplexer remove select control circuitry

Today many instances of IEEE 1149.1 Tap domains are included in integrated circuits (ICs). While all TAP domains may be serially connected on a scan path that is accessible external to the IC, it is generally preferred to have selectivity on which Tap domain or Tap domains are accessed. Therefore Tap domain selection circuitry may be included in ICs and placed in the scan path along with the Tap domains. Ideally, the Tap domain selection circuitry should only be present in the scan path when it is necessary to modify which Tap domains are selected in the scan path. The present disclosure describes a novel method and apparatus which allows the Tap domain selection circuitry to be removed from the scan path after it has been used to select Tap domains and to be replaced back into the scan path when it is necessary to select different Tap domains.




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Systems, methods and devices for multi-tiered error correction

An error control encoding system produces a codeword from a data word, where the resulting codeword includes the data word and three or more parity segments produced using the data word. The system includes a first encoder to encode the data word in two or more first data segments in order to produce two or more first parity segments, where each of the two or more first data segments includes a respective sequential portion of the data word. The system includes a second encoder to encode the data word in one or more second data segments in order to produce a corresponding one or more second parity segments, where each of the one or more second data segments includes a respective sequential portion of the data word, and each of the one or more second data segments also includes a sequential portion of the data included in a plurality of the two or more first data segments. Further, the system includes a controller configured to provide the two or more first data segments of the data word to the first encoder for encoding and to provide the one or more second data segments of the data word to the second encoder for encoding.




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Method for managing sulfide in wastewater systems

Certain exemplary embodiments can provide a system, machine, device, manufacture, circuit, composition, and/or user interface adapted for and/or resulting from, and/or a method and/or machine-readable medium comprising machine-implementable instructions for, activities that can comprise and/or relate to, in a treatment zone, reacting an oxygen-comprising gas, one or more selected ferric/ferrous chelates, one or more selected nitrates and/or nitrites, and/or anaerobic wastewater.




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Apparatus and method for the granulation of radioactive waste, and vitrification method thereof

An apparatus and method for the granulation of radioactive waste in which a preprocessing method for the vitrification of radioactive waste is simplified to conform to onsite conditions of a nuclear power plant, additives are improved, and pellets suitable for vitrification are manufactured. The apparatus for the granulation of radioactive waste includes: a body frame having an inlet and an outlet; a hopper supplying the radioactive waste to be transferred and fed through the inlet; a feeder transferring/supplying the radioactive waste supplied to a specific position and in a certain quantity; a stirrer pulverizing/mixing lumps of the radioactive waste supplied; an additive supply part supplying a lubricant to the radioactive waste fed into the stirrer; and a pellet press pressing the radioactive waste fed through the feeder into a pellet shape and discharging the pellet through the outlet.




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Efficient complex multiplication and fast fourier transform (FFT) implementation on the ManArray architecture

Efficient computation of complex multiplication results and very efficient fast Fourier transforms (FFTs) are provided. A parallel array VLIW digital signal processor is employed along with specialized complex multiplication instructions and communication operations between the processing elements which are overlapped with computation to provide very high performance operation. Successive iterations of a loop of tightly packed VLIWs are used allowing the complex multiplication pipeline hardware to be efficiently used. In addition, efficient techniques for supporting combined multiply accumulate operations are described.




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Multi-element electroacoustical transducing

An acoustic apparatus including circuitry to correct for acoustic cross-coupling of acoustic drivers mounted in a common acoustic enclosure. A plurality of acoustic drivers are mounted in the acoustic enclosure so that motion of each of the acoustic drivers causes motion in each of the other acoustic drivers. A canceller cancels the motion of each of the acoustic drivers caused by motion of each of the other acoustic drivers. A cancellation adjuster cancels the motion of each of the acoustic drivers that may result from the operation of the canceller.




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Distributed processing system and method for discrete logarithm calculation

Distributed processing system and method for discrete logarithm calculation. The speed and resource efficiency of discrete logarithm calculation may be improved by allowing a plurality of operation agents to distributively process an operation of generating a modulo multiplication auxiliary table, an operation of generating a pre-calculation table, and an operation of searching for an answer by applying an iterated function for discrete logarithm calculation in a discrete logarithm calculation operation using the pre-calculation table.




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Communication device, reception data length determination method, multiple determination circuit, and recording medium

A communication device includes a storage unit to store quotients and remainders associated with multiplication values obtained by multiplying a specified integer number, which is expressed in a form of (2β+α) where β is a positive integer number and α is a positive integer number other than integral multiples of 2, respectively, the quotients and the remainders being obtained by dividing the multiplication values by 2β, respectively, a first unit to divide a dividend by 2βand calculate a quotient and a remainder, a second unit to obtain a quotient, which corresponds to the remainder from the storage unit, and a third unit to determine that the data length of the packet data is normal, when a combination of the quotient and the remainder calculated by the first unit is in the storage unit.




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Multiplier circuit

A multiplier circuit for multiplying first and second binary values includes a first logic circuit, a priority encoder, a shifter circuit, and an accumulator. The first logic circuit receives the first binary value and a multiplier modifier, and modifies the first binary value based on the multiplier modifier. The multiplier modifier is generated by the priority encoder. The priority encoder also generates a position binary value indicating the position of a most significant set bit in the modified first binary value. The shifter circuit receives the position binary value from the priority encoder and the second binary value and generates an intermediate result. The accumulator accumulates one or more of the intermediate results and generates a final product that is a product of the first and second binary values.




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Integer divider module

A method includes receiving a dividend and a divisor for performing a division operation. Numbers p and n are found, for which the divisor equals 2n(1+2p). An interim result, which is equal to a reciprocal of 1+2p multiplied by the dividend, is calculated. The interim result is divided by 2n to produce a result of the division operation.




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Rectangular power spectral densities of orthogonal functions

In this application, a set of orthogonal functions is introduced whose power spectral densities are all rectangular shape. To find the orthogonal function set, it was considered that their spectrums (Fourier transforms of the functions) are either real-valued or imaginary-valued, which are corresponding to even and odd real-valued time domain signals, respectively. The time domain functions are all considered real-valued because they are actually physical signals. The shape of the power spectral densities of the signals are rectangular thus, the Haar orthogonal function set can be employed in the frequency domain to decompose them to several orthogonal functions. Based on the inverse Fourier transform of the Haar orthogonal functions, the time domain functions with rectangular power spectral densities can be determined. This is equivalent to finding the time-domain functions by taking the inverse Fourier transform of the frequency domain Walsh functions. The obtained functions are sampled and truncated to generate finite-length discrete signals. Truncation destroys the orthogonality of the signals. The Singular Value Decomposition method is used to restore the orthogonality of the truncated discrete signals.




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Proxy calculation system, proxy calculation method, proxy calculation requesting apparatus, and proxy calculation program and recording medium therefor

A function f(x) is calculated with a calculating apparatus that makes a correct calculation with a low probability. Provided that G and H are cyclic groups, f is a function that maps an element x of the group H into the group G, X1 and X2 are random variables whose values are elements of the group G, x1 is a realized value of the random variable X1, and x2 is a realized value of the random variable X2, an integer calculation part calculates integers a' and b' that satisfy a relation a'a+b'b=1 using two natural numbers a and b that are relatively prime. A first randomizable sampler is capable of calculating f(x)bx1 and designates the calculation result as u. A first exponentiation part calculates u'=ua. A second randomizable sampler is capable of calculating f(x)ax2 and designates the calculation result as v. A second exponentiation part calculates v'=vb. A determining part determines whether u'=v' or not. A final calculation part calculates ub'va' in a case where it is determined that u'=v'.




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Multi-standard multi-rate filter

A method is provided for decimating a digital signal by a factor of M and matching it to a desired channel bandwidth. The method applies the digital signal input samples to a (M−1) stage tapped delay line, downsamples the input samples and the output samples of each tapped delay line stage by a factor of M, and applies each of the M downsampled sample value streams to M allpass IIR filters, respectively. The M allpass IIR filtered sample streams are then summed and scaled by a factor of 1/M. The result can then be filtered by a digital channel filter.




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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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Custom configuration for a calculator based on a selected functionality

Examples disclose a computing system comprising a computing device with a display surface to detect a selection of functionality from a list of functionalities to be disabled on a calculator. Further, the computing device creates a custom configuration based on the selected functionality. Additionally, the examples also disclose a calculator with a processor to integrate the custom configuration, the custom configuration restricts the selected functionality on the calculator.