Heating element powered by alternating current and heat generator accomplished by the heating element Heating element (1) powered by alternating current and heat generator (43) comprising the heating element (1) and control electronics (9). The heating element has a hollow body housing (3) which is closed or provided with one or more openings, and at least two electrodes (5) which are insulated from said housing (1) and from each other by means of an insulating element (4).

Magnetic disk device and controlling magnetic disk According to one embodiment, a controller of a magnetic disk device is configured to manage a first value representing the number of times of writing for each track on a magnetic disk. The controller detects a first offtrack amount during writing for a first track that is a writing target track, calculates a second value exponentially increasing according to the detected first offtrack amount, and adds the calculated second value to the first values of tracks adjacent to both sides of the first track.. Kabushiki Kaisha Toshiba

Extended use of logarithm and exponent instructions Embodiments of the present disclosure are based on a recognition that some processors are configured with instructions to compute logarithms and exponents (i.e. Some processors include log and exp circuits). Analog Devices, Inc.


Accumulation of floatingpoint values An apparatus and method for generating a sum of floatingpoint input values are provided. To sum the values multiple partial sum floatingpoint values are maintained and the partial sum to which an input value may be added is selected by a least significant portion of the exponent of the input value. Arm Limited

Thz radiation detection in standard cmos technologies based on thermionic emission A detector of terahertz (thz) energy includes a mosfet having an extended source region, and a channel region depleted of free carriers, which mosfet operates in a subthreshold voltage state and has an output that is an exponential function of thz energy supplied to the gate.. . University Of Rochester

Method and distributing media content A system that incorporates teachings of the present disclosure may include, for example, initializing a boundary estimate for an optimization of a linear programming model describing a network of media servers for servicing requests for media content items from subscriber devices, where the boundary estimate is an estimate of an infeasible solution of the linear programming model, and calculating iteratively, using an exponential potential function, additional boundary estimates for the linear programming model, wherein the calculating resolves to an improved boundary estimate that corresponds to placement of copies of the media content items at the media servers subject to a set of constraints on storage capacity of media servers and on bandwidth for communication links in the network. Other embodiments are disclosed.. At&t Intellectual Property I, Lp

Control device for controlling at least one manipulator of a projection lens The disclosure provides a control device for controlling at least one manipulator of a microlithographic projection lens by generating a travel command, which defines a change to be undertaken, of an optical effect of at least one optical element of the projection lens by manipulating a property of the optical element via the at least one manipulator along a travel. The control device is configured to generate the travel command for the at least one manipulator from a state characterization of the projection lens by optimizing a merit function. Carl Zeiss Smt Gmbh

Highthroughput sequencing detection methylated cpg islands A highthroughput sequencing method for detecting methylated cpg islands includes: processing a dna sample by using a modifier, and converting cytosine in the dna sample into uracil, and keeping 5′methylcytosine unchanged; amplifying the obtained segment by using a primer a and dna polymerase, to obtain a segment having one end being capable of anchoring a junction primer c; amplifying the obtained segment by using a primer b and dna polymerase, to obtain a segment gathering methylated cpg islands and having two ends being capable of separately anchoring junction primers c and d; amplifying the obtained segment at a pcr exponent by using the junction primers c and d and the dna polymerase, to obtain the amplified product; and separating and purifying the amplified product, to form a highthroughput sequencing library and perform computer sequencing, and data analysis.. . Peking University

Optimal allocation of hardware inventory procurements In various embodiments, methods, computerstorage media, and systems for generating optimal allocation of hardware inventory procurements are provided. An adjusted total cost, based on assessment properties for hardware providers is determined. Microsoft Technology Licensing, Llc

Floatingpoint adder circuitry An integrated circuit is provided that performs floatingpoint addition or subtraction operations involving at least three floatingpoint numbers. The floatingpoint numbers are preprocessed by dynamically extending the number of mantissa bits, determining the floatingpoint number with the biggest exponent, and shifting the mantissa of the other floatingpoint numbers to the right. Altera Corporation

Technologies for offloading and onloading data for processor/coprocessor arrangements Technologies for transferring offloading or onloading data or tasks between a processor and a coprocessor include a computing device having a processor and a sensor hub that includes a coprocessor. The coprocessor receives sensor data associated with one or more sensors and detects events associated with the sensor data.

Multiplicative blinding for cryptographic operations A value corresponding to an input for a cryptographic operation may be received. The value may blinded by multiplying the value based on an exponentiation of a random number raised to an exponent value that is associated with a public key. Cryptography Research, Inc.

T2 spectral analysis for myelin water imaging Apparatus, methods, and other embodiments associated with the spectral analysis of t2 spectral data are described. One example magnetic resonance imaging (mri) method includes accessing a data set comprising t2 spectral data associated with a magnetic resonance imaging (mri) signal received from an object. St. Jude Children's Research Hospital

System and detecting precursors to control blowout in combustion systems A method and system for determining one or more precursors to control blowout in a combustor is provided. The method includes obtaining a time series signal corresponding to a dynamic state variable of the combustor. Indian Institute Of Technology, Madras


Methods and systems for managing network activity using biometrics The present disclosure describes systems and methods for managing network traffic using biometrics. A server may store a first value n, a primitive root modulo n, and a plurality of verification codes generated using the primitive root modulo n to the power of a hash function result of a respective portion of a first biometric template acquired from the user during enrollment. Eyelock Llc

Compound having exponential temperature dependent electrical resistivity, use of such compound in a selfregulating heating element, selfregulating heating element comprising such compound, and forming such compound A novel compound having exponential temperature dependent electrical resistivity comprises an electrically insulating bulk material (11), electrically conductive particles (12) of a first kind, and electrically conductive particles (13) of a second kind covered by a lubricant. The bulk material holds the particles of the first and second kinds in place therein; the particles of the second kind are smaller than the particles of the first kind; the particles of the second kind are more in number than the particles of the first kind; and the particles of the second kind have higher surface roughness than the particles of the first kind, wherein the particles of the second kind comprise tips (13a) and the particles of the first kind comprise even surface portions (12a). Conflux Ab

Cryptographic apparatus and method A cryptographic apparatus and method is provided with which the circuit scale does not become large, even if a circuit that makes exposure of the secret key difficult by using differential power analysis is equipped. First key data (dq) representing a quotient obtained by exponentiating, with respect to respect prime data (pi), using respective random number setting data representing exponents (rpi) corresponding to respective prime data, and then obtaining multiplication data by multiplying the respective exponentiated data, and then dividing secret key data (d) by the multiplication data, and second key data (dr) representing a reminder obtained by dividing the secret key data by the multiplication data are stored in a storing unit in advance, and using the first key data and the second key data, a decryption process using rsa or ecc having a countermeasure against differential power analysis (dpa) is performed.. Fujitsu Limited

Calculation framework utilizing fragmentation of expressions A calculation engine computes equation(s) based upon dependencies between variables, both initially input and as calculated from various fragmented sub expressions. The calculation engine accommodates relationships between equations, with output variable(s) of one equation possibly serving as input to another equation in a chain.

Method and evaluating the state of health of a lithium battery A method for assessing the health of a lithium battery comprising: a first step of recharging the battery at constant current, until the voltage at its terminals reaches a limit value; a second step of recharging the battery at constant voltage equal to the limit value, until the charging current drops below a threshold value, a plurality of measurements of the charging current being acquired during the second recharging step; and a step of estimating the state of health of the battery from at least one parameter of the second step of recharging at constant voltage, such as the parameter expressing the decrease of an exponential function interpolating charging current measurements, the energy supplied to the battery during the second step of recharging at constant voltage or the duration of the step of charging at constant voltage. A battery management system comprising an apparatus for implementing the method is provided.. Institut Polytechnique De Bordeaux


Heat release rate waveform calculation apparatus and heat release rate waveform calculation internal combustion engine A period from ignition timing to maximum heat release rate timing, at which a heat release rate is maximum, within a combustion period of airfuel mixture is defined as a first combustion period that is one of characteristic values of a heat release rate waveform. The first combustion period is estimated based on a cylinder volume at the maximum heat release rate timing (maximum heat release rate cylinder volume) irrespective of any of an engine load factor, an egr rate, an airfuel ratio, an oil or coolant temperature and opening and closing timing of an exhaust valve through correction by the use of the exponential function of an engine rotation speed with an exponent of a value commensurate with a tumble ratio. Toyota Jidosha Kabushiki Kaisha

Modular multiplication using lookup tables Various embodiments relate to a method, system, and nontransitory machinereadable medium encoded with instructions for execution by a processor for performing modular exponentiation, the nontransitory machinereadable medium including: instructions for iteratively calculating a modular exponentiation, bd mod n, including: instructions for squaring a working value, c; and instructions for conditionally multiplying the working value, c, by a base value, b, dependent on a bit of an exponent, d, including: instructions for unconditionally multiplying the working value, c, by a lookup table entry associated with the base value.. . Nxp B.v.

Content search mechanism using finite automata An improved content search mechanism uses a graph that includes intelligent nodes avoids the overhead of post processing and improves the overall performance of a content processing application. An intelligent node is similar to a node in a dfa graph but includes a command. Cavium, Inc.

Methods and systems for instrument validation In one exemplary embodiment, a method for validating an instrument is provided. The method includes receiving amplification data from a validation plate to generate a plurality of amplification curves. Life Technologies Corporation

Coding escape pixels for palette coding In one example, a device includes a memory configured to store video data and a video decoder configured to decode an exponential golomb codeword representative of at least a portion of a value for an escape pixel of a palettemode coded block of video data, the video decoder is configured to decode the exponential golomb codeword using exponential golomb with parameter 3 decoding, and decode the block using the value for the escape pixel.. . Qualcomm Incorporated


Risk scoring for threat assessment Threat risks to an enterprise are detected and assessed by assembling singular threats identified using both direct and behavioral threat indicators into composite threats to create complex use cases across multiple domains, and to amplify risks along kill chains of known attacks for early detection. Composite threat risk scores are computed from risk scores of singular threats to exponentially increase with the number of events observed along the kill chain. Securonix, Inc.

Method and circuit for fast fourier transform A method for fft/ifft computation, comprising: identifying whether grouping data is needed based on data bitwidth distribution in a set of data, wherein the set of data includes data in a stage of a fft/ifft computation; assigning different data representations including effective bit and group index for data identified in different groups if grouping is needed, wherein data in a group have same exponent, and data in different groups have different exponents; and outputting a signal indicating the exponent; for each of a plurality of short sequence fft/ifft computation—decomposing data used in present short sequence fft/ifft computation into at least a first multibit part and a second multibit part; respectively calculating fft/ifft computation results for the first multibit part and the second multibit part; adding the fft/ifft computation results for the first and the second multibit part; scanning a plurality of short sequence fft/ifft computation added results.. . Montage Technology (shanghai) Co., Ltd.

Method and converting from integer to floating point representation Apparatus and methods for conversion from signed integer to a floating point representation are provided. Two's complementation and lead zero count operations are performed in parallel.

Detection of rpeak point in an electrocardiogram signal Detection of rpeak signal in an electrocardiogram signal is provided. An electrocardiogram signal representing heart activity of an individual is received.

Selfreplication of nucleic acid origami tiles The present invention provides a method for selfreplication of multimers of nucleic acid origami tiles by exponentially amplifying the multimer from initial seeds of monomeric units of nucleic acid origami tiles and also provides for the selective exponential amplification of a designated multimer, such as with specific properties or characteristics, over one or more competing multimers in the presence of a mixture of monomers for each of the possible multimers. The selection of the designated multimer based on an environmental change allows the designated multimer to outgrow all competing multimers.. New York University

Filter media having an optimized gradient Filter media having a gradient in a property and methods associated with such media are provided. In some embodiments, a filter media may have a gradient in mean pore size. Hollingsworth & Vose Company

Method and converting from floating point to integer representation Apparatus and methods for conversion from floating point to signed integer representation are provided. Two's complementation and determination of a shift control signal indicating the number of bit positions for shifting the two's complemented mantissa to produce the signed integer are performed in parallel.

Methods and systems for identifying the quantitation cycle for a pcr amplification reaction Methods and systems for identifying a quantitation cycle (cq) for a pcr reaction that includes fitting a line having a plurality of line segments to data points associated with a pcr amplification reaction. The data points include a cycle value associated with a pcr cycle and a product value associated with a pcr product. Thermo Fisher Scientific Oy

Computerreadable recording medium, encoding apparatus, and encoding method An encoding apparatus detects a bit repeating portion in a mantissa part bit string. The mantissa part bit string is a part of a bit string of a floating point number and corresponds to a mantissa of the floating point number. Fujitsu Limited

Cleaning solution and manufacturing method therefor The present invention has an object to provide a highly stable cleaning solution that generates a high concentration of hypochlorous acid during cleaning, and has sterilizing and washing out activity on bacteria and viruses. As means for achieving this object, a cleaning solution has been developed which is an aqueous solution containing hypochlorous acid and hypochlorite ions produced using a diaphragmfree electrolysis process. Epios Co., Ltd.


Shift significand of decimal floating point data A decimal floating point finite number in a decimal floating point format is composed from the number in a different format. A decimal floating point format includes fields to hold information relating to the sign, exponent and significand of the decimal floating point finite number. International Business Machines Corporation

Method for quantifying the characteristics of an object treated with a contrast agent The method comprises: a) receiving a plurality of imaging signals of the object over a period of time; b) measuring the signal intensity in each of the plurality of imaging signals corresponding to a point on the object; and c) curve fitting the measured signal intensity of the point on the object to a biexponential function comprising a first and a second exponential term, the first exponential term representing the decrease in concentration of the contrast agent which is free over time and the second exponential term representing a decrease in concentration of the contrast agent which is retained on the object over time.. .

Monitoring the effects of sleep deprivation using neuronal avalanches The present invention is directed to a method of continuously monitoring neuronal avalanches in a subject comprising (a) determining a deviation in avalanche exponent (α) or branching parameter (σ) from a predetermined value at rest, wherein the predetermined value of α is a slope of a size distribution of the synchronized neuronal activity and the predetermined value is −3/2 and the predetermined value of σ is a ratio of successively propagated synchronized neuronal activity and the predetermined value is 1; and (b) repeating step (a) one or more times to continuously monitor neuronal avalanches in a subject. The invention also features methods of determining or monitoring the degree of sleep deprivation in a subject, methods of identifying subjects that are susceptible to a sleep disorder and methods of diagnosing a sleep disorder in a subject.. The United States Of America, As Represented By The Secreatary, Dept., Of Health & Human Services

Distributed load management on network devices This disclosure relates to a system and method for dynamically managing load on network devices in a distributed manner. As the proliferation of data rich content and increasingly more capable mobile devices has continued, the amount of data communicated over mobile operator's networks has exponentially increased. Cisco Technology, Inc.

Tessellation apparatus and method A tessellation method and apparatus are provided, where the tessellation method includes receiving a first value that is calculated in performing tessellation, the first value being a first floatingpoint real number represented by a first exponent and a first mantissa; determining a second precision of the first mantissa on the basis of a value of the first exponent and a first precision; and adjusting the first mantissa to have the second precision.. . Samsung Electronics Co., Ltd.

Trading anomaly kill switch A system that can detect when abnormal trading activity is occurring and take action to halt the detected abnormal trading activity without human intervention using a computerimplemented anomaly detection and action stage that performs an exponential weighted averaging of trade order flow, on a per symbol basis within a sliding volume based window and a volume based exponential weighted averaging, on a per symbol basis, on trade update messages received during the sliding volume based window and checks for an inflection in covariance between them. A related method is also described.. Morgan Stanley

Method for estimating and predicting parameters of exponentiated weibull model Discussed herein are a computing device and an associated method for computing bayesian estimation for shape parameters and reliability function of the exponentiated weibull distribution based on dual generalized order statistics. Metropolishastings algorithm is employed for computing bayes estimates. Umm Alqura University

Method and determining a smoothed data point within a stream of data points A method and an apparatus for determining at least one smoothed data point (tk, sk) within a stream of data points {ti, si} with 1≦i≦z, k<z is disclosed. Herein, the stream of data points {ti, si} is consecutively acquired in a manner that a data point (ti, si) is acquired after an acquisition of a preceding data point (ti1, si1), wherein each data point (ti, si) comprises a valid value or an invalid value or a missing value for the signal si at a time ti. Eyesense Ag

System and correlating pointtopoint sky clearness for use in photovoltaic fleet output estimation with the aid of a digital computer Statistically representing pointtopoint photovoltaic power estimation and areatopoint conversion of satellite pixel irradiance data are described. Accuracy on correlated overhead sky clearness is bounded by evaluating a mean and standard deviation between recorded irradiance measures and the forecast irradiance measures. Clean Power Research, L.l.c.

Digital signal processor A processor configured to: receive, at a floatingpointinputterminal, an inputblock of data comprising a plurality of floatingpoint numbers each floatingpoint number comprising a mantissa and an exponent; determine an inputscalefactor based on a previousinputblockexponentvalue associated with a previousinputblock of data; and convert the inputblock of data into a fixedpointblock of data in accordance with the inputscalefactor, wherein the fixedpointblock of data comprises a plurality of fixedpointvalues that can represent the plurality of floatingpoint numbers within a particular range.. .


System and distributed and dynamic location identification of mobile devices The present invention provides a system and method for distributed and dynamic location identification of mobile devices, wherein such method continuously estimates the path loss exponent for a specific environment from a priori known distance, hence estimating the distance to another transmitter. In the system and method of the present invention, any blind node can estimate its own location if there exists at least three nodes connected via wireless links in a distributed ad hoc mode within a radio communication range of each other and if each one of said nodes is either equipped with location identification mechanism or its location is fixed and known priori..

Efficient smooth encodings for modular exponentiation Various embodiments relate to a method of encoding data and a related device and nontransitory machine readable storage medium, including: determining a factor set, s, to be used for encoding the value, h, wherein the factor set includes a plurality of subsets that are associated with respective digit positions in the value, h; selecting a plurality of factors from the factor set, s; and computing a product of the plurality of factors to produce an encoded value. Various other embodiments relate to a method of encoding data and a related device and nontransitory machine readable storage medium, including: determining a factor set, s, and weight, w, to be used for encoding the value, h; selecting a set, t, of w factors from the factor set, s, to represent the value, h; and computing a product of the set, t, to produce an encoded value..

General encoding functions for modular exponentiation encryption schemes Various embodiments relate to a method of encoding data and related device and nontransitory machine readable storage medium, the method including: determining a set of digits, x, representative of a value to be encoded; determining a set of factor values, s, to be used in generating an encoded value, wherein the set of factor values, s, is a set of input value factors for a modular exponentiated digital signature process; for a given digit, x, of the set of digits, x, determining at least one factor value, s, of the set of factor values, s, corresponding to the given digit, x; and including the at least one factor value, s, in an encoded value.. .

Secure tokenbased signature schemes using lookup tables Various embodiments relate to a method of generating tokens for use in modular exponentiation and a related device and nontransitory machine readable storage medium, including: generating a public token, τ, based on an identifier associated with another device; generating a private token, l, as a modular exponentiation of the public token, τ, using a private exponent, d, and modulus, n, from a cryptographic key; and communicating the private token, l, to the other device.. .

Modular exponentiation using look up tables Various embodiments relate to a method of encoding data and a related device and nontransitory machine readable storage medium, including: determining a plurality of factors of a value, b, to be exponentiated; retrieving, from a lookup table, a plurality of lookup table entries associated with the plurality of factors; calculating a product of the plurality of lookup table entries; and calculating a residue of the product using a cryptographic key modulus, n, to produce an exponentiated value, s.. .


Loglinear power detector A power detector constituted of: a transconductance element arranged to output a rectified detection current, the magnitude thereof arranged to increase exponentially responsive to a linear increase in the amplitude of an input signal; and at least one pn junction based device, a function of the rectified detection current arranged to flow there through. The output of the power detector is a function of the voltage across the at least one pn junction based device..

Lm mode with uniform bitwidth multipliers A video codec including a processor configured to generate a predicted chroma sample for a chroma block based on reconstructed luma samples located in neighboring blocks of a corresponding reconstructed luma block and adjacent to the corresponding reconstructed luma block, and reconstructed chroma samples located in neighboring blocks of the chroma block and adjacent to the chroma block. Generating the predicted chroma sample includes computing a plurality of multipliers. Futurewei Technologies, Inc.

Method and system for an adaptive softwaredefined networking controller (asdnc) A method and system for the design, implementation, and operation of an adaptive softwaredefined networking controller (asdnc) is described. Traditional sdn controllers support stateless control of forwarding/datapath elements (logical or physical) in order to provide quasiseamless control/management of information flows. Zte (usa) Inc.

Determining the plus fraction of a gas chromatogram Methods and devices for determining a plus fraction of a plus fraction of a gas chromatogram are provided. A gas chromatogram may obtained, such as from a downhole gas chromatograph module of a fluid analysis tool. Schlumberger Technology Corporation

Current sensor for a vehicle A vehicle includes a battery configured to operate at a current, during a drive cycle, in a nominal current range for a time greater than in a maximum current range. A controller is programmed to output a voltage based on the current according to a gain calibrated to be greater in the nominal current range than in the maximum current range to increase resolution in the nominal current range. Ford Global Technologies, Llc

Multisource ct systems and prereconstruction inversion methods A computed tomography scanner has multiple radiation sources or source arrays, in specific geometric dimensions for optimized imaging speed. A ct system with maximum fanangle Γ and k simultaneously active xray sources distributed over an angle of π2Γ radians, the sources partially overlapping on a detector array, measures summed projection data corresponding to k or less lineintegrals at each detector element.

Power injector with decay constant functionality A power injector is disclosed having power injector control logic, which in turn includes a decay constant crossreference, for instance in the form of a data structure. Flow rate decay constant information may be stored by the decay constant crossreference. Liebelflarsheim Company Llc

Beamforming method, measurement and imaging instruments, and communication instruments Beamforming method that allows a high speed and high accuracy beamforming with no approximate interpolations. This beamforming method includes step (a) that generates reception signals by receiving waves arrival from a measurement object; and step (b) that performs a beamforming with respect to the reception signals generated by step (a); and step (b) including without performing wavenumber matching including approximate interpolation processings with respect to the reception signals, and the reception signals are fourier's transformed in the axial direction and the calculated fourier's transform is multiplied to a complex exponential function expressed using a wavenumber of the wave and a carrier frequency to perform wavenumber matching in the lateral direction and further, the product is fourier's transformed in the lateral direction and the calculated result is multiplied to a complex exponential function, from which an effect of the lateral wavenumber matching is removed, to perform wavenumber matching in the axial direction, by which an image signal is generated..

Charge ordered vertical transistors A vertical charge ordered transistor is disclosed. A thin charge ordered layer is employed as a tunnel barrier between two electrodes. Drexel University

Accuracyconserving floatingpoint value aggregation A method for enhancing an accuracy of a sum of a plurality of floatingpoint numbers. The method receives a floatingpoint number and generates a plurality of provisional numbers with a value of zero. International Business Machines Corporation


Accuracyconserving floatingpoint value aggregation A method for enhancing an accuracy of a sum of a plurality of floatingpoint numbers. The method receives a floatingpoint number and generates a plurality of provisional numbers with a value of zero. International Business Machines Corporation

Efficient beam scanning for highfrequency wireless networks Systems and methods relating to nonadaptive beam scanning in a wireless network are disclosed. In some embodiments, a method of operation of a transmit node to perform nonadaptive beam scanning for transmit beam patterns of the transmit node that partition a service coverage area of the transmit node into transmit partition cells is provided. Telefonaktiebolaget L M Ericsson (publ)

Method for combining multiple signal values in the dendritic cell algorithm Artificial immune systems (ais) including the dendritic cell algorithm (dca) are an emerging method to detect malware in computer systems. A dca module may receive an output or signal from multiple indicators concerning the state of at least a portion of the system. The Boeing Company

Method and system of improved galois multiplication Embodiments of the invention include an apparatus for performing galois multiplication using an enhanced galois table. Galois multiplication may include converting a first and second multiplicand to exponential forms using a galois table, adding the exponential forms of the first and second multiplicands, and converting the added exponential forms of the first and second multiplicands to a decimal equivalent binary form using the galois table to decimal equivalent binary result of the galois multiplication.. Echelon Corporation

Fast, energyefficient exponential computations in simd architectures In one embodiment, a computerimplemented method includes receiving as input a value of a variable x and receiving as input a degree n of a polynomial function being used to evaluate an exponential function ex. A first expression a*(x−ln(2)*kn(xf))+b is evaluated, by one or more computer processors in a single instruction multiple data (simd) architecture, as an integer and is read as a double. International Business Machines Corporation

Exponent monitoring A processing apparatus 200 includes floating point arithmetic circuitry 214, 216 coupled to monitoring circuitry 226. The monitoring circuitry stores exponent limit data indicating at least one of a maximum exponent value and a minimum exponent value processed when performing the floating point arithmetic operations. Arm Limited

Fast, energyefficient exponential computations in simd architectures In one embodiment, a computerimplemented method includes receiving as input a value of a variable x and receiving as input a degree n of a polynomial function being used to evaluate an exponential function ex. A first expression a*(x−ln(2)*kn(xf))+b is evaluated, by one or more computer processors in a single instruction multiple data (simd) architecture, as an integer and is read as a double. International Business Machines Corporation

Method and compensating thermal displacement of machine tool Disclosed are a method and an apparatus for compensating thermal displacement of a machine tool, the apparatus including: a compensation quantity calculating unit configured to calculate a compensation quantity by using temperature data and a predetermined compensation parameter; a smoothing filter configured to exponentially smooth the calculated compensation quantity; a scaling unit configured to scale the exponentially smoothed compensation quantity; a timedispersion compensating unit configured to calculate a final compensation quantity by timedispersion compensation for the scaled compensation quantity according to a timedispersion compensating period; and a control unit configured to compensate each axis of equipment according to the final compensation quantity, and adjusts the timedispersion compensating period of the timedispersion compensating unit according to an error absolute value representing a difference between an input value and an output value of the timedispersion compensating unit.. . Doosan Infracore Co., Ltd.
