Lithographic apparatus and exposure method A method including determining a position of a first pattern in each of a plurality of target portions on a substrate, based on a fitted mathematical model, wherein the first pattern includes at least one alignment mark, wherein the mathematical model is fitted to a plurality of alignment mark displacements (dx, dy) for the alignment marks in the target portions, and wherein the alignment mark displacements are a difference between a respective nominal position of the alignment mark and measured position of the alignment mark; and transferring a second pattern onto each of the target portions, using the determined position of the first pattern in each of the plurality of target portions, wherein the mathematical model includes polynomials z1 and z2: z1=r2 cos(2θ) and z2=r2 sin(2θ) in polar coordinates (r, θ) or z1=x2−y2 and z2=xy in cartesian coordinates (x, y).. . Asml Netherlands B.v.

Magentic resonance spectroscopy pulse sequence, acquistion, and processing system and method Systems and methods are provided for processing a set of multiple serially acquired magnetic resonance spectroscopy (mrs) free induction decay (fid) frames from a multiframe mrs acquisition series from a region of interest (roi) in a subject, and for providing a postprocessed mrs spectrum. Processing parameters are dynamically varied while measuring results to determine the optimal postprocessed results. Nocimed, Inc.

Algebraic generators of sequences for communication signals A device for modulating communication signals comprises a transceiver for receiving and transmitting the signal, a storage medium storing computer implemented programme code components to generate sequences and a processor in communication with the storage medium and transceiver. The processor executes computer implemented programme code components to generate a family of shift sequences or arrays using exponential, logarithmic or index functions and a polynomial or a rational function polynomial in t∈p−1 for a finite field p of prime p. Optimark, Llc


Crc update mechanism A cyclic redundancy code (crc) update device includes an input coupled to obtain an old crc that corresponds to an old header of a communication packet, a crc storage device to store crc coefficients, a crc calculator coupled to receive a modified old header of the communication packet and calculate a new crc on the modified old header, and a polynomial multiplier coupled to the crc storage device to receive the new crc, obtain a corresponding coefficient from the crc storage device, and generate an update for the crc of the frame.. .

Process variable transmitter with selflearning loop diagnostics A twowire process variable transmitter for use in an industrial process includes a process variable sensor configured to sense a process variable of a process fluid of the industrial process. Output circuitry provides an output on a twowire process control loop which is related to the sensed process variable. Rosemount Inc.

Error locator polynomial decoder and method An apparatus includes a convergence detector circuit coupled to an error locator polynomial generator circuit. The convergence detector circuit includes at least two computation circuits configured to generate at least two convergence signals based on a mutual error locator polynomial from the error locator polynomial generator circuit and on at least two different sets of syndromes. Western Digital Technologies, Inc.

System and voltagecontrolled oscillator calibration A system and method for calibrating a voltagecontrolled oscillator (vco) having both finetuning control and coarsetuning control. The vco frequency can vary monotonically with changes in each of one or more operational conditions. Maxlinear Asia Singapore Pte Ltd.

3d lighting Techniques are disclosed for displaying a graphical element in a manner that simulates threedimensional (3d) visibility (including parallax and shadowing). More particularly, a number of images, each captured with a known spatial relationship to a target 3d object, may be used to construct a lighting model of the target object. Apple Inc.

Apparatus and methods for nondeterministic computing In the disclosed nondeterministic computing apparatus and methods, a user problem to be solved is represented as a nondeterministic turing machine m with an input x to it. A method for deterministic simulation of m on x is disclosed, which performs assumptions and refutations.

Solving npcomplete problems without hyper polynomial cost Within satisfaction problems or any decision or other problem which is reducible to a satisfaction problem, the invention tracks the paths along which implications propagate and identifies conditional contradictions and subsequently moves the contradictions back down the implicational paths toward assumptions or other unreasoned assertions in order to expel the contradictions. The action is completed in less time than is incurred by existing methods and thus provides a performance improvement to the devices, software, or processes which address such problems.

Method and processing performing arithmetic operation A method of performing an arithmetic operation by a processing apparatus includes determining a polynomial expression approximating an arithmetic operation to be performed on a variable; adaptively determining upper bits for addressing a lookup table (lut) according to a variable section to which the variable belongs; obtaining coefficients of the polynomial expression from the lut by addressing the lut using a value of the upper bits; and performing the arithmetic operation by calculating a result value of the polynomial expression using the coefficients.. . Samsung Electronics Co., Ltd. 
Method and associated decoding circuit for decoding an error correction code A method for decoding an error correction code and an associated decoding circuit are provided, where the method includes the steps of: calculating a set of error syndromes of the error correction code, where the error correction code is a terror correcting code and has capability of correcting t errors, and a number s of the set of error syndromes is smaller than t; sequentially determining a set of coefficients within a plurality of coefficients of an error locator polynomial of the error correction code according to at least one portion of error syndromes within the set of error syndromes for building a roughlyestimated error locator polynomial; performing a chien search to determine a plurality of roots of the roughlyestimated error locator polynomial; and performing at least one check operation to selectively utilize a correction result of the error correction code as a decoding result of the error correction code.. . Silicon Motion Inc. 
Method for determining parameter values of an induction machine by means of polynominal calculations A method for determining parameter values of an induction machine. The method may be executed by a dedicated computer system. Ishou University 
Spiral polynomial division multiplexing A method for communicating using polynomialbased signals. In such a method, a set of basis polynomial functions used to generate waveforms may be identified, wherein each of the basis polynomial functions in the set of basis polynomial functions is orthogonal to each of the other basis polynomial functions in the set of basis polynomial functions in a coordinate space. Astrapi Corporation 
Gps data correction for automated vehicle A system for automated operation of a hostvehicle includes an objectsensor, a globalpositioningsystem (gps) receiver, and a controller. The objectsensor is used to determine a firstpolynomial indicative of a preferredsteeringpath based on an object detected proximate to a hostvehicle. Delphi Technologies, Inc. 
Cryptographic system and computer readable medium A cryptographic system (10) performs a cryptographic process using a basis. B and a basis b*. Mitsubishi Electric Corporation 
Eyelid shape estimation Systems and methods for eyelid shape estimation are disclosed. In one aspect, after receiving an eye image of an eye (e.g., from an image capture device), an eyebox is generated over an iris of the eye in the eye image. Magic Leap, Inc. 
Programmable mip catch and release technology Programmable molecular imprinted polymers (mips) that have modified binding site kinetics for target imprintable entities (ties) that operate to control the adsorption, binding, release and equilibrium distribution of related materials into and out of the mips, which are useful for the controlled adsorption, controlled release and control of concentrations of such materials in media including gases, liquids, fluids, biological systems, solutions and other environments. When a collective plurality of the mips with modified binding site kinetics are combined, the resulting mip systems can be tailored to exhibit pseudo zero and firstorder kinetics, as well as higher kinetic profiles, and when further combined with timedelay functionality, can be tailored to exhibit delayed uptake and release, ramped uptake and release of materials, step functions, polynomial, geometric, exponential and other unique kinetic profiles of material exchange between the novel mips and a fluid media that are not readily achievable by other means.. The Decaf Company, Llc 
Programmable mip catch and release technology Programmable molecular imprinted polymers (mips) that have modified binding site kinetics for target imprintable entities (ties) that operate to control the adsorption, binding, release and equilibrium distribution of related materials into and out of the mips, which are useful for the controlled adsorption, controlled release and control of concentrations of such materials in media including gases, liquids, fluids, biological systems, solutions and other environments. When a collective plurality of the mips with modified binding site kinetics are combined, the resulting mip systems can be tailored to exhibit pseudo zero and firstorder kinetics, as well as higher kinetic profiles, and when further combined with timedelay functionality, can be tailored to exhibit delayed uptake and release, ramped uptake and release of materials, step functions, polynomial, geometric, exponential and other unique kinetic profiles of material exchange between the novel mips and a fluid media that are not readily achievable by other means.. The Decaf Company, Llc 

Programmable mip catch and release technology Programmable molecular imprinted polymers (mips) that have modified binding site kinetics for target imprintable entities (ties) that operate to control the adsorption, binding, release and equilibrium distribution of related materials into and out of the mips, which are useful for the controlled adsorption, controlled release and control of concentrations of such materials in media including gases, liquids, fluids, biological systems, solutions and other environments. When a collective plurality of the mips with modified binding site kinetics are combined, the resulting mip systems can be tailored to exhibit pseudo zero and firstorder kinetics, as well as higher kinetic profiles, and when further combined with timedelay functionality, can be tailored to exhibit delayed uptake and release, ramped uptake and release of materials, step functions, polynomial, geometric, exponential and other unique kinetic profiles of material exchange between the novel mips and a fluid media that are not readily achievable by other means.. The Decaf Company, Llc 
Apparatus to transmit data using different scramble generator polynomials A first processor included in a transmission device stores a first generator polynomial in a portion of a first data scrambled by using the first generator polynomial, and transmits the first data including the first generator polynomial. A second processor included in a reception device receives the first data, descrambles the first data by using the first generator polynomial, and generates a second data by scrambling the descrambled first data by using a second generator polynomial different from the first generator polynomial.. Fujitsu Limited 
Weighted memory polynomial power amplifiers predistortion A system and method for linearizing a power amplifier using digital predistortion technique is provided including processing circuitry, the processing circuitry configured to apply a digital predistortion function based on a weighted static polynomial function, a weighted dynamic polynomial function and a threshold parameter which splits the nonlinear transfer characteristics of the device under test into a region where the static nonlinearity predominates and a region where the dynamic distortions predominate.. . King Fahd University Of Petroleum And Minerals 
Fault level estimation power converters A method for fault level estimation for a power converter quickly after a fault clearing event includes a step of providing a training dataset with an input variable set and a corresponding system fault level output variable. The method further includes a step of deducing a hypothesis function based on the training dataset and estimating the system fault level quickly after the fault clearing event using the hypothesis function. Siemens Aktiengesellschaft 
Desired zmp trajectory generating device for a mobile robot A device for generating a desired zmp trajectory for a mobile robot includes a polynomial function coefficient group determining section (53a) which determines, by regarding the desired zmp trajectory as a trajectory expressed by a polynomial function, a desired coefficient group composed of desired values of coefficients in respective terms of the polynomial function. The polynomial function coefficient group determining section uses a quadratic evaluation function including square values of the coefficients included in the desired coefficient group as variables and a plurality of constraint conditions each configured by a linear equality or linear inequality about the coefficients, to determine the desired coefficient group, by a solution method for a quadratic programming problem, in such a way as to minimize a value of the evaluation function while fulfilling the constraint conditions.. Honda Motor Co., Ltd. 
Threedimensional facial reconstruction method and system The present invention is applicable to the field of image processing technology, provides a threedimensional facial reconstruction method and system comprising: arranging threedimensional imaging units with the same configuration on both of left side and right side of a target human face; implementing binocular calibration to the threedimensional imaging units; establishing a polynomial relation between 3d point cloud coordinates captured by the threedimensional imaging units and corresponding phases according to a result of the binocular calibration and determining the transformation relation among the 3d point cloud coordinates captured by two threedimensional imaging units; capturing image sequences on the left side and right side of the target human face by the threedimensional imaging units to obtain absolute phases of the image sequences; mapping the absolute phases of the image sequences to the 3d point cloud coordinates by using the polynomial relationship; unifying the 3d point cloud coordinates of the threedimensional imaging units to a global coordinate system according to the transformation relationship. The present invention implements a rapid threedimensional reconstruction of a face and improves the processing efficiency of threedimensional facial reconstruction.. Shenzhen University 
Programmable temperature compensated voltage generator A programmable temperature compensated voltage reference is disclosed. In an exemplary embodiment, an apparatus includes a digitaltoanalog converter (dac) that uses a reference voltage and a code to generate a dac output voltage. Ixys Corporation 
Gas turbine engine airfoil An airfoil for a turbine engine includes pressure and suction sides that extend in a radial direction from a 0% span position at an inner flow path location to a 100% span position at an airfoil tip. The airfoil has a relationship between a tangential leading edge location and a span position that corresponds to a curve that is at least a third order polynomial with a generally sshaped curve that has an initial negative slope followed by a positive slope and then a second negative slope. United Technologies Corporation 
Method and generating harmonics using polynomial nonlinear functions A method and apparatus for generating harmonics using polynomial nonlinear functions. Polynomial functions are used to produce harmonics of an input signal up to a predetermined order, and that match a preferred set of characteristics. Tempo Semiconductor, Inc. 
Sparse map for autonomous vehicle navigation A nontransitory computerreadable medium is provided. The computerreadable medium includes a sparse map for autonomous vehicle navigation along a road segment. Mobileye Vision Technologies Ltd. 

Rolling process learning control device An instantaneous value of a learning coefficient is calculated based on a gap between a result value and a result recalculation value, and an update value of the learning coefficient is calculated from the instantaneous value. The calculated update value is recorded in a cell corresponding to present rolling conditions. Toshiba Mitsubishielectric Industrial Systems Corporation 
Key agreement device and method An initiating keyagreement device (100) and a responding keyagreement device (200) are provided, configured to generate a symmetric key shared between them. The devices are configured for generating in electronic form a private random value (112, 212), obtaining in electronic form a public set of bivariate polynomials (122) and computing a univariate polynomial (124, 222) by summing the univariate polynomials obtained by substituting the private random value (112, 212) into the polynomials of the public set (122). Koninklijke Philips N.v. 
Motion capture system that combines sensors with different measurement ranges Motion capture system with a motion capture element that uses two or more sensors to measure a single physical quantity, for example to obtain both wide measurement range and high measurement precision. For example, a system may combine a lowrange, high precision accelerometer having a range of −24 g to +24 g with a highrange accelerometer having a range of −400 g to +400 g. Blast Motion Inc. 
Hybrid tablelookup algorithm for functions A method and system for approximating functions, including a function approximation repository, which includes a hybrid lookup table configured to store coefficients associated with polynomials in factored form (pffs), and a results store configured to store results. The system also includes a function approximation device that includes two processors, memory, an io module and a function approximation module, which includes functionality to receive a request to approximate the function for an argument; verify that the argument falls within a function interval; perform a determination to find a subinterval in which the argument falls; select a pff associated with the subinterval; obtain pff coefficients associated with the pff from the hybrid lookup table; evaluate the pff using the pff coefficients and the argument to obtain a result; store the result in the results store; and return the result as an answer to the requesting entity via the io module.. Oracle International Corporation 
Apparatus, wireless batch calibration A wireless batch calibration apparatus, a wireless batch calibration system and a wireless batch calibration method. The wireless batch calibration apparatus includes a wireless transceiver, a processor circuit and a storage circuit. Industrial Technology Research Institute 
Energy efficient polynomial kernel generation in fullduplex radio communication A polynomial kernel generator is configured to mitigate nonlinearity in a receiver path from a transmitter path comprising a nonlinear component in a communication device or system. The polynomial kernel generator operates to generate polynomial kernels that can be utilized to model the nonlinearity as a function of a piecewise polynomial approximation applied to a nonlinear function of the nonlinearity. Intel Corporation 
Concept for encoding of information Wherein m is an order of the predictive polynomial a(z) and l is greater or equal to zero, wherein the converter is configured to obtain the frequency values by establishing a strictly real spectrum derived from p(z) and a strictly imaginary spectrum from q(z) and by identifying zeros of the strictly real spectrum derived from p(z) and the strictly imaginary spectrum derived from q(z).. . 
Stress and temperature compensated hall sensor, and method An integrated semiconductor device for measuring a magnetic field, comprising: a hall sensor, a first lateral isotropic sensor having a first stress sensitivity and a first temperature sensitivity, a second lateral isotropic sensor having a second stress sensitivity and a second temperature sensitivity, optional amplifying means, digitization means; and calculation means configured for calculating a stress and temperature compensated hall value in the digital domain, based on a predefined formula which can be expressed as an nth order polynomial in only two parameters. These parameters may be obtained directly from the sensor elements, or they may be calculated from a set of two simultaneous equations. Melexis Technologies Sa 
Circuitry and decomposable decoder Decoder circuitry for an input channel having a data rate, where a codeword on the input channel includes a plurality of symbols, includes options to provide a first output channel having that data rate, and a plurality of second output channels having slower data rates. The decoder circuitry includes syndrome calculation circuitry, polynomial calculation circuitry, and searchandcorrect circuitry. Altera Corporation 
Fingerprint template based on fuzzy feature point information and fingerprint identification method The present invention discloses a fingerprint template and a fingerprint identification method based on fuzzy feature point information. The fingerprint template contains several pieces of incomplete feature point information, including registration information and comparison information, wherein only coordinate information and attribute information of feature points and a value of a polynomial are recorded. 

Apparatus and generating bidirectional chirp signal by using phase accumulation polynomial The present invention relates to an apparatus and method for generating a bidirectional chirp signal by using a phase accumulation polynomial, and the apparatus for generating a bidirectional chirp signal according to an embodiment may include an extraction unit extracting time interval information from the output of a frequency accumulator, a polynomial handling unit applying the phase accumulation polynomial to the extracted time interval information to generate a polynomial output value, and a bidirectional chirp signal output unit outputting a bidirectional chirp signal on the basis of the generated polynomial output value.. . Korea Aerospace Research Institute 
Characterizing crude oil using laser induced ultraviolet fluorescence spectroscopy Embodiments of the present disclosure describe a method for determining a property of an uncharacterized crude oil sample using a polynomial equation correlating the property to a spectrum index and density of crude oil. The polynomial equation may include constants determined using a data fitting method and a data base of spectral data, density data, and standard properties data of a plurality of crude oils.. Saudi Arabian Oil Company 
System and hybrid wireless video transmission A system and method provides highquality video streaming in wireless video communications. The system includes a digital codec, an analog codec, and a power controller. Mitsubishi Electric Research Laboratories, Inc. 
Oneshot decoder for twoerrorcorrecting bch codes A decoder includes a syndrome generator for receiving a codeword and generating at least two syndromes based on the codeword, an error location polynomial generator for generating an errorlocation polynomial based on the syndromes, an error location determiner for determining at least one error location based on the errorlocation polynomial, and an error corrector for correcting the codeword based on the one error location. The error location polynomial generator includes a logic for receiving the syndromes and generating a combination of the syndromes as a combination of coefficients of the errorlocation polynomial, and a key equation solver for generating the errorlocation polynomial based on the combination of the coefficients and finding at least one root of the errorlocation polynomial. Sk Hynix Memory Solutions Inc. 
Serverassisted secure exponentiation In one embodiment, a method for secure computation, includes receiving in a server, over a communication channel from a device external to the server a request to perform a modular exponentiation operation in which an exponent of the operation comprises a secret value, wherein the secret value is not provided to the server, and at least two parameters that encode the secret value in accordance with a polynomial or matrix homomorphic encryption of the secret value computed by the device, and performing in the server, in response to the request, a homomorphic exponentiation using the at least two parameters received from the device without decrypting the secret value in the server, so as to generate an output that is indicative of a result of the modular exponentiation operation.. . Cisco Technology, Inc. 
Asymmetrical chaotic encryption Implementations and techniques for asymmetrical chaotic encryption are generally disclosed. One disclosed method for asymmetrical encryption includes determining a ciphertext control block from data, where the ciphertext control block is based at least in part on one or more chebyshev polynomials. Empire Technology Development Llc 
Cryptographic processing method and cryptographic processing device A computer generates a third encrypted polynomial that corresponds to a result of encrypting a third polynomial by use of a result of multiplying a first encrypted polynomial by a second encrypted polynomial, and outputs cryptographic information that represents the third encrypted polynomial. The first encrypted polynomial is a polynomial obtained by encrypting a first polynomial that corresponds to a first vector, and the second encrypted polynomial is a polynomial obtained by encrypting a second polynomial that corresponds to a second vector. Fujitsu Limited 
Ion beam scanner for an ion implanter A magnetic system for uniformly scanning an ion beam across a semiconductor wafer comprises a magnetic scanner having ac and dc coil windings each of which extend linearly along internal pole faces of a magnetic core. The ac and dc coil windings are mutually orthogonal; a time dependent magnetic component causes ion beam scanning whilst a substantially static (dc) field component allows the ion beam to be bent in an orthogonal plane. Nissin Ion Equipment Co., Ltd. 
Neural networks for encrypted data Embodiments described herein are directed to methods and systems for performing neural network computations on encrypted data. Encrypted data is received from a user. Microsoft Technology Licensing, Llc. 
Korschtype compact threemirror anastigmat telescope A threemirror anastigmat telescope comprises at least a concave first mirror, a convex second mirror and a concave third mirror, the three mirrors arranged so that the first mirror and the second mirror form, from an object at infinity, an intermediate image situated between the second mirror and the third mirror, the third mirror forming, from this intermediate image, a final image in the focal plane of the telescope. In the architecture of the telescope, at least the surface of the concave third mirror is a φpolynomial surface.. Thales 

Magnetic measurement system A magnetic measurement system includes a heart magnetic field sensor that measures a first magnetic field and a second magnetic field, a noise magnetic sensor that measures the second magnetic field, and a magnetic measurement apparatus that computes an approximate value of the second magnetic field in the heart magnetic field sensor by using a measurement value in the noise magnetic sensor and a multivariable polynomial. The magnetic measurement apparatus subtracts the approximate value of the second magnetic field from a measurement value in the heart magnetic field sensor.. Seiko Epson Corporation 
System and method hybrid quantumconventional architecture for wireless networks A hybrid quantumconventional computing system and method for analyzing band capture data and determining if a solution is an nphard problem or a polynomial time problem. The nphard problem is processed by a quantum computing system and the polynomial time problem is processed by a conventional computing system. Cable Television Laboratories, Inc. 