Date/App# 
List of recent Exponentrelated patents 
05/19/16 20160139882  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

05/19/16 20160139881  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

05/05/16 20160127919  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)

05/05/16 20160127387  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

05/05/16 20160124717  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

05/05/16 20160124713  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

05/05/16 20160124712  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


05/05/16 20160124709  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

05/05/16 20160124419  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.

04/28/16 20160119007  Method and apparatus A signal processing method for estimating a frequency domain representation of signal from a series of samples distorted by an instrument function, the method comprising obtaining the series of samples; obtaining a set of coefficients that fit a set of basis functions to a complex exponential function wherein the set of basis functions comprises a plurality of basis functions each defined by a shifted version of the instrument function in a signal domain; estimating the frequency domain representation of the signal based on the series of samples and the coefficients. This is wherein the estimate of the instrument function is based on a characterisation of the instrument function in the frequency domain at frequencies associated with the complex exponential function.. The Chinese University Of Hong Kong

04/28/16 20160118526  Multijunction solar cell with dilute nitride subcell having graded doping A latticematched solar cell having a dilute nitridebased subcell has exponential doping to thereby control currentcarrying capacity of the solar cell. Specifically a solar cell with at least one dilute nitride subcell that has a variably doped base or emitter is disclosed. Solar Junction Corporation

04/28/16 20160118037  Apparatus for outputting protecting sound in quieting vehicle An apparatus and method for outputting a protecting sound in a quieting vehicle is provided. The apparatus includes a storage unit that is configured to store a mapping table in which protecting sounds having frequency bands that are exponentially increased for each vehicle speed are mapped. Hyundai Motor Company

04/28/16 20160117354  Method and system for dynamically partitioning very large database indices on writeonce tables Methods and systems for partitioning and dynamically merging a database index are described. A database index includes a single firstlevel index partition stored in a data cache. Sap Se

04/21/16 20160112225  Measuring waveforms with the digital infinite exponential transform A method is performed of selecting a signal of interest from a compound signal. The method includes generating a matrix and initializing a first row of the matrix to zero.

04/21/16 20160110171  Compiler optimization for complex exponential calculations Technologies for optimizing complex exponential calculations include a computing device with optimizing compiler. The compiler parses source code, optimizes the parsed representation of the source code, and generates output code.

04/21/16 20160109543  Method and magnetic resonance determining a minimized echo time In a method for determining a minimum possible echo time for a radiofrequency coil used in a magnetic resonance scanner, magnetic resonance signals are acquired with the radiofrequency coil in a magnetic resonance measurement of a free induction decay at fixed time intervals, the minimum possible echo time being determined by evaluating the time series of magnetic resonance signals as the instant from which an exponential signal decay was measured.. .

04/21/16 20160106331  Fractal index analysis of human electroencephalogram signals A system and method for multifractaldetrended fluctuation analysis (mfdfa) on digitized human eeg signals is presented. A list of hurst exponents, or hurst exponent spectrum (“h” values) are generated, and multifractal singularity spectrum indices (“d(h)” values) produce a graph that approximates an inverted parabola.

04/14/16 20160101293  Implantable cardio defibrillator (icd), subcutaneous implantable cardio defibrillator (sicd), and waveform energy control systems Cardiac defibrillation or cardioversion waveform energy control systems employ transvenous icds or subcutaneous sicds for treating cardiac arrhythmias. The systems comprise differentially driven amplifier circuit operational modes to control the delivery of defibrillation or cardioversion electrical shocks, wherein the shock waveforms are constant current, constant voltage, or constant energy.

04/07/16 20160100177  Nonuniform exponentialgolomb codes for palette mode coding In an example, a method of decoding video data using palette mode may include receiving a palette mode encoded block of video data of a picture. The method may include receiving encoded palette mode information for the palette mode encoded block of video data. Qualcomm Incorporated

04/07/16 20160098249  Decimal and binary floating point arithmetic calculations Logic is provided for performing decimal and binary floating point arithmetic calculations on first and second operands. The method includes: receiving the first and second operands in packed format; unpacking the first and second operands; swapping the first operand to a fourth operand and the second operand to a third operand, if an exponent of the first operand is less than an exponent of the second operand, otherwise storing the first operand to the third operand and the second operand to the fourth operand; aligning the third operand and the fourth operands based on the exponent difference of the third and fourth operand and a number of leading zeroes of the third operand; performing an add/subtract operation on the aligned third and fourth operands with normalizing and rounding between the operands; and packing the result obtained from the add/subtract.. International Business Machines Corporation

03/31/16 20160091417  Calibration curve creation , target component calibration , and electronic apparatus A calibration curve creation method includes a step of obtaining an independent component matrix including independent components of each sample, and this step includes a step of obtaining the independent component matrix by performing a first preprocess including normalization of the observation data, a second preprocess including whitening, and independent component analysis in this order. In the first preprocess, normalization is performed after a process based on project on null space (pns) is performed. Seiko Epson Corporation

03/24/16 20160087785  Time synchronization and controlled asynchronization of remote trigger signals A mechanism is disclosed for transmitting pulses onto respective cables so that the pulses arrive at the remote ends of the respective cables in synchronized (or controllably asynchronized) fashion. First, the roundtrip time of flight of each cable is measured using speedy delivery pulses, i.e., pulses whose leading edges have exponential shape. Board Of Regents Of The University Of Texas System

03/24/16 20160087647  Data compression using entropy encoding Data values can be entropy encoded, as part of a data compression process, according to a predetermined variablelength entropy coding scheme (e.g. Based on exponential golomb coding) such that they have ≧1 prefix bits and ≧0 suffix bits. Imagination Technologies Limited

03/24/16 20160085507  Method and controlling range of representable numbers Provided are a method of controlling a range of representable numbers includes receiving a floating point value represented by an exponent and a mantissa, each represented by a predetermined numbers of bits, determining a bit configuration of the exponent and the mantissa of the floating point value based on a value of a most significant bit of the exponent of the floating point value, and determining a constant required for calculation of the floating point value according to the determined bit configuration of the exponent, and an apparatus for providing such a method.. . Samsung Electronics Co., Ltd.

03/24/16 20160084861  Calibration for multicomponent assays A method of analyzing a biological sample using an analyzer and an assay. The method comprises providing the assay for producing the signal. Roche Diagnostics Operations, Inc.

03/17/16 20160080216  Exponential moving maximum (emm) filter for predictive analytics in network reporting Techniques for an exponential moving maximum (emm) filter for predictive analytics in network reporting are disclosed. In some embodiments, a process for predictive analytics in network reporting using an emm filter includes preprocessing networkrelated data by performing exponential moving maximum (emm) filtering on the networkrelated data; and determining predictive analytics based on the emm filtered networkrelated data.. Infoblox Inc.

03/17/16 20160079643  Modulated guided surface waves Disclosed are various systems and methods directed to the launching of a guided surface wave embodying a modulated signal using a guided surface waveguide probe. A modulated signal is generated and coupled to a guided surface waveguide probe. Cpg Technologies, Llc

03/17/16 20160077806  Method to securely execute a modular exponentiation The present invention relates to a method to execute a modular exponentiation r=xe mod n, said method implementing several variable registers and an indicator register m and performing looped calculations. In the invention each loop includes at least two operations from values stored in variable registers, said operations depending on the value stored in m and on the value of the bit(s) of the exponent currently processed, m indicating if the calculation is completed for the current exponent bit at the end of the operations in the current loop.. Gemalto Sa

03/17/16 20160077234  Compensated sigma calculation based on pulsed neutron capture tool measurements A method for determining thermal neutron decay constant for a formation includes counting radiation events corresponding to numbers of thermal neutrons with respect to time (decay spectrum) after irradiating the formation with neutrons. At least one moment of a first order of the decay spectrum or a single exponential curve to fit the decay spectrum is determined. Schlumberger Technology Corporation

03/10/16 20160072627  Generation of cryptographic keys Calculating a private exponent d for the private key from the public exponent and the public modulus, where d·e=1 mod λ(n), λ(n) being the least common multiple between p1 and q1, characterized in that the method furthermore includes a step: of checking to check that λ(n)=0 mod (p1) and λ(n)=0 mod (q1).. .

03/10/16 20160070833  Exponentially fitted approximation for anisotropic semiconductor equations Roughly described, a method for determining characteristics of a body by simulation, useful in analyzing semiconductor devices, includes imposing a delaunay mesh on a simulated body to be modeled, determining a system of node equations describing generation and flux of a set of at least a first physical quantity at each node in the mesh, and numerically solving the system of node equations to identify the physical quantities in the set at each node in the mesh, where the flux of the first physical quantity in the body, as represented in the node equations, is anisotropic. The method does not impose any limitation on the geometry of the device, on mesh elements, or on the orientation of the anisotropy.. Synopsys, Inc.

03/10/16 20160070673  Eventdriven spatiotemporal shorttime fourier transform processing for asynchronous pulsemodulated sampled signals A method of processing asynchronous eventdriven input samples of a continuous time signal includes calculating a shorttime fourier transform (stft) output based on the eventdriven input samples. The stft output may be calculated by expressing an encoding pulse and an stft window function as a sum of complex weighted causal complex exponentials. Qualcomm Incorporated

03/10/16 20160068875  Production of tailored pha copolymers from natural gas A method of producing polyhydroxyalkanoic acid (pha)producing biomass is provided that includes obtaining a methaneoxidizing inoculum, flushing the methaneoxidizing inoculum with natural gas and oxygen, amending the flushed methaneoxidizing inoculum with a fresh growth medium, using a nonaseptic bioreactor for growing a phaproducing biomass, where the nonaseptic bioreactor is seeded with the amended methaneoxidizing inoculum, where a natural gas and oxygen mixture is added to the nonaseptic bioreactor, where a growth medium comprising ammonium and nutrients required for exponential growth is added to the nonaseptic bioreactor, harvesting a portion of the methaneoxidizing biomass and incubating the harvested portion in the absence of nitrogen and with the natural gas and oxygen mixture, where a phaenriched biomass is produced, purifying pha from the phaenriched biomass, and adding the fresh growth medium and the natural gas and oxygen mixture to the bioreactor to regrow the methaneoxidizing inoculum.. . The Board Of Trustees Of The Leland Stanford Junior University

03/10/16 20160066807  Posture dependent time series filtering the detection of cardiac events A device for detecting a cardiac event is disclosed. Detection of an event is based on a test applied to a parameter whose value varies according to heart rate. Angel Medical Systems, Inc.

03/03/16 20160065379  Physical unclonable function using augmented memory for challengeresponse hashing A technique is presented for performing a physical unclonable function (puf) using an array of sram cells. The technique can be viewed as an attempt to read multiple cells in a column at the same time, creating contention that is resolved according to process variation. The Regents Of The University Of Michigan

03/03/16 20160064129  Undulator with dynamic compensation of magnetic forces A method and apparatus for implementing dynamic compensation of magnetic forces for undulators are provided. An undulator includes a respective set of magnet arrays, each attached to a strongback, and placed on horizontal slides and positioned parallel relative to each other with a predetermined gap. Uchicago Argonne, Llc

03/03/16 20160064011  Reverberation suppression apparatus used for auditory device A reverberation suppression apparatus includes: an instantaneous value calculation unit that calculates an instantaneous value/instantaneous values in an envelope of values correlating with the absolute value or the square of an input signal; a reverberation estimation unit that calculates an exponential moving average of the instantaneous value(s) as an estimated reverberation component; a gain derivation unit that derives a gain corresponding to the input signal according to the estimated reverberation component and the instantaneous value(s) when the each instantaneous value is larger than the estimated reverberation component, and derives a lower limit of the gain as the gain corresponding to the input signal when the each instantaneous value is smaller than the estimated reverberation component; a smoothing unit that performs a smoothing process on the gain; and a gain processing unit that applies the gain to amplitude adjustment of the input signal thereafter.. . Rion Co., Ltd.

03/03/16 20160062954  Flexible highspeed generation and formatting of applicationspecified strings Flexible highspeed generation and formatting of applicationspecified strings is available through tablebased base conversion which may be integrated with custom formatting, and through printfstyle functionality based on separate control string parsing and specialized format command sequence execution. Mechanisms include digit group tables for immediate output with or without separation characters, dynamic format templates, format localization and customization, funnels, digit extraction in lefttoright or righttoleft order, scaling and size estimation, leading bit identification, casting, indexing with exponent bits, division via multiplication by select constants and shifts, fractional value manipulations, batching transformations, stamping safety zones, rounding tools, jump and call avoidance, tailoring to processor characteristics and word size, conversions between various numeric types and representations, command stitching, stack parameter analysis, printf compilation, and others. Numbergun Llc

03/03/16 20160062493  Noise reduction through democratic alpha smoothing An iterative exponential moving average algorithm generates a smoothed output data stream from a noisy input data stream. A smoothing factor used in calculating the exponential moving average is updated with each iteration of the exponential moving average algorithm based on a cumulative vote value, which is based, at least in part, on an estimated state of the input data stream.. Microsoft Corporation

03/03/16 20160061693  Normalized indices for feedback control loops A feedback controller for generating and using a normalized performance index for a feedback control loop is shown and described. The feedback controller is configured to generate an input for a control process, identify an error signal representing a difference between a setpoint and a feedback signal from the control process, compute a first exponentiallyweighted moving average (ewma) of a first function of the error signal and a second ewma of a second function of the error signal, and to generate a normalized performance index using the first ewma and the second ewma.. Johnson Controls Technology Company

02/25/16 20160057187  Multimedia queuing and collaboration method The invention relates to the use of smart media devices to communicate wirelessly with a central smart media device in a collaborative environment allowing the ability for individuals to stream media content to the central device in a social atmosphere. One of the major challenges with the exponential expansion of media content and smart devices is the ability to share in a collaborative environment media content so as not to violate copy write and trademark protections..

02/25/16 20160057119  Method and secure delegation of computation A method for delegating a computational burden from a computationally limited party to a computationally superior party is disclosed. Computations that can be delegated include inversion and exponentiation modulo any number m. Research Foundation Of The City University Of New York

02/25/16 20160055636  Improved methods of cancer detection The present invention provides, among other things, methods of identifying cancerous or precancerous tissue including providing a first region of tissue from a subject, calculating a roughness exponent for the first region of tissue, and comparing the roughness exponent of the first region of tissue to 0.5, wherein a difference of less than 0.2 between the roughness exponent of the first region of tissue and 0.5 indicates that the tissue is cancerous or precancerous. Additionally, the present invention provides methods including providing a first view of a region of tissue, providing a second view of a region of tissue, calculating a first fractal dimension for the first view of the region of tissue, and calculating a second fractal dimension for the second view of the region of tissue, wherein if the fractal dimension of at least one of the first fractal dimension and the second fractal dimension is in the fractal zone, the region of tissue is considered cancerous. University Of Maine System Board Of Trustees

02/25/16 20160053739  System and artificial gravity fueled fluid dynamic energy generator or motor An artificial gravity fueled fluid dynamic day energy generator/motor that initially uses external power to spin a partially submerged low drag fluid distributor rotor that uses centrifugal force to cause fluid to flow from the center of rotation, through a plurality of euler contoured penstocks, in a true radial direction through a high “g” artificial gravity field, which dramatically increases the fluid's kinetic energy and releases available power, before it is guided out tangentially from the distributor via a plurality of nozzles symmetrically located at a small height just above the reservoir surface (near zero lift). As the frequency of the rotor is increased linearly the fuel artificial gravity increases exponentially, as does the fluid dynamic available power pa.

02/25/16 20160051817  Electrical stimulation system with pulse control An electrical stimulation system to provide pulse stimulation to an area of a living body by way of one or more electrode leads applied to the area, the area including an associated resistance element and an associated capacitance element. The system may include a pulse generating circuit having a controllable output voltage to generate constant voltage pulses to the one or more electrode leads, wherein the corresponding current signal of each constant voltage pulse includes an exponential decay to a steady state current value. Myndtec Inc.

02/18/16 20160050741  Charged particle accelerator systems including beam dose and energy compensation and methos therefor A method of operating an acceleration system comprises injecting charged particles into an rf accelerator, providing rf power to the accelerator, and accelerating the injected charged particles. The accelerated charged particles may impact a target to generate radiation. Varian Medical Systems, Inc.

02/18/16 20160047881  Wireless local area network based positioning A wireless device includes a transceiver and a positioning system. The positioning system a channel model adaptation module having channel model adaptation logic configured to update, for each of a plurality of access points applied to determine a position of a wireless device, a channel model. Texas Instruments Incorporated

02/11/16 20160044604  Wireless communication device and controlling method A wireless communication apparatus including: at least one antenna configured to transmit a transmission signal including radio signals in parallel, each radio signal having each frequency band, the radio signals including physical channels, each radio signal including at least one of the physical channels, a memory configured to store coefficient values, each coefficient value being associated with each first factor and each second factor, each first factor being each identity among each set of scrambling codes used in each set of specific physical channels among the physical channels, each second factor being each set of transmission formats used in each set of specific physical channels among the physical channels, and a processor configured to: obtain, for each repeated combination taken from the physical channels, each of coefficient values from the stored coefficient values, and estimate an exponential of amplitude of the transmission signal based on the obtained coefficient values.. . Fujitsu Limited

02/04/16 20160037302  Distance determination of a mobile device A first energy of a signal received from a mobile device is computed at a device based on information available at a physical (phy) layer of the mobile device. A second energy of the received signal is computed. Hewlettpackard Development Company, L.p.

02/04/16 20160035355  Audio decoder and decoding method using efficient downmixing A method, an apparatus, a computer readable storage medium configured with instructions for carrying out a method, and logic encoded in one or more computerreadable tangible medium to carry out actions. The method is to decode audio data that includes n.n channels to m.m decoded audio channels, including unpacking metadata and unpacking and decoding frequency domain exponent and mantissa data; determining transform coefficients from the unpacked and decoded frequency domain exponent and mantissa data; inverse transforming the frequency domain data; and in the case m<n, downmixing according to downmixing data, the downmixing carried out efficiently.. Dolby International Ab

02/04/16 20160033545  Anemometer detecting thermal time constant of sensor An anemometer and method for analyzing fluid flow is described. In one embodiment, a transistor sensor is heated by applying power to cause its baseemitter junction to rise from an ambient first temperature to a second temperature. Linear Technology Corporation

02/04/16 20160030294  Dental conditioning composition A dental conditioning composition having a gel character, that includes a polymerization catalyst, an acidic compound, water, and a thickening agent, and whose ph (the hydrogen ion exponent) is in a range from 0.1 to 0.9.. .

01/28/16 20160029024  Frame buffer compression for video processing devices For compressing a video signal, a local multiscale transform is applied to a frame of the video signal to obtain coefficient blocks. The coefficients of each block are distributed into coefficient groups associated with that block. Zoran (france) S.a.

01/28/16 20160028974  Lownoise, high dynamicrange image sensor An integratedcircuit image sensor generates, as constituent reference voltages of a first voltage ramp, a first sequence of linearly related reference voltages followed by a second sequence of exponentially related reference voltages. The integratedcircuit image sensor compares the constituent reference voltages of the first voltage ramp with a first signal level representative of photocharge integrated within a pixel of the image sensor to identify a first reference voltage of the constituent reference voltages that is exceeded by the first signal level. Rambus Inc.

01/28/16 20160024546  Methods for amplification of nucleic acids utilizing a circularized template prepared from a target nucleic acid The present invention provides methods of amplifying a target nucleic acid utilizing a circularized template. Circularization may be achieved utilizing a bridging oligonucleotide or an inverter primer.

01/21/16 20160020306  Shortgate tunneling field effect transistor having nonuniformly doped vertical channel and fabrication method thereof The present invention discloses a shortgate tunneling field effect transistor having a nonuniformly doped vertical channel and a fabrication method thereof. The shortgate tunneling field effect transistor has a vertical channel and the channel region is doped in such a slowlyvaried and nonuniform manner that a doping concentration in the channel region appears a gaussian distribution along a vertical direction and the doping concentration in the channel near the drain region is higher while the doping concentration in the channel near the source region is lower; and double control gates are formed at both sides of the vertical channel and the control gates form an lshaped shortgate structure, so that a gate underlapped region is formed in the channel near the drain region, and a gate overlapped region is formed at the source region. Peking University

01/21/16 20160019027  Vector scaling instructions for use in an arithmetic logic unit At least one processor may receive components of a vector, wherein each of the components of the vector comprises at least an exponent. The at least one processor may further determine a maximum exponent out of respective exponents of the components of the vector, and may determine a scaling value based at least in part on the maximum exponent. Qualcomm Incorporated

01/21/16 20160018838  Dblinear voltagetocurrent converter A dblinear voltagetocurrent (v/i) converter is amenable to implementation in cmos technology. In a representative embodiment, the dblinear v/i converter has a voltage scaler, a current multiplier, and an exponential current converter serially connected to one another. Skyworks Solutions, Inc.

01/14/16 20160011120  Methods of determining an analyte concentration in a body fluid sample having disturbance variables, as well as computer programs and devices therefor Methods are provided for deriving/determining an analyte concentration that include recording measurement values during a time development indicating a progress of a detection reaction of at least one test substance and a body fluid sample and providing at least one measurement curve f(t) containing the measurement values, where the detection reaction is known to be influenced by the analyte concentration and at least one disturbance variable y. The methods also include deriving an end value of the measurement curve to form a first variable x1, and deriving at least one fit parameter by taking into account an exponential characteristic of the measurement curve, and where the fit parameter forms at least one second variable x2. Roche Diabetes Care, Inc.

01/07/16 20160006413  Tuning fork type piezoelectric vibration piece and tuning fork type piezoelectric vibrator A tuning fork type piezoelectric vibration piece 2 includes a base portion 25 in which a piezoelectric vibration substrate has a connection area with an external element, and a pair of leg portions 21, 22 projecting from a first end face of the base portion. The pair of leg portions has vibrating portions 212, 222 equipped with drive electrodes, wide weight portions 211, 221 formed at tip ends of the vibrating portions, and connecting portions 213, 223 between the vibrating portions and the weight portions. Daishinku Corporation
