The method for machining a series of workpieces (21) via at least one machining jet includes the following steps: each workpiece (21) is associated with an identifier for uniquely identifying the workpiece,during the machining of a respective workpiece, the temporal characteristic of the machining jet is detected by at least one sensor (30),the detected temporal characteristic is evaluated so as to obtain at least one comparative value, andfor detecting incorrect machining, the at least one comparative value is compared with at least one threshold value.

Particularly, a thin-film solar cell panel or the like is processed without necessity of attaching and detaching of mask and washing steps with respect to a workpiece in a fine blasting employing a fine abrasive. A negative pressure space (20) and an opposing negative pressure space (40) having openings (22, 42) are opposed by being spaced at a movement allowable interval of the workpiece such as a thin-film solar cell panel or the like and so as to face one side edge in the same direction as a moving direction of the workpiece. Further, a fine abrasive is injected while relatively moving the workpiece in a moving direction (T) with respect to a blast gun (30) in which an injection hole (31) is disposed within the negative pressure space (20), and the fine abrasive injected into the negative pressure space (20) and/or the opposing negative pressure space (40) and a cut and removed cut scrap such as a thin film layer or the like are sucked and recovered through the intermediary of suction devices (21a, 21b) and/or an opposing suction device (41) respectively communicating with the spaces (20) and/or (40).

The object of the present invention is to provide a machine for blasting abrasives that has a simple structure and that solves the problem of abrasives falling when the door for the gateway for the work is opened or closed. The machine for blasting abrasives comprises a chamber 11 for processing, a nozzle 13 that is provided within the chamber 11 for shooting the abrasives (shots) S onto the work W, and a jig 15 for holding the work W at a position facing the nozzle 13. A gateway 17 with a door 19 is formed in the ceiling 11a of the chamber 11. The size of the gateway 17 enables the work W to protrude from the chamber 11 by means of the jig 15 at a position corresponding to the jig 15 that is linearly moving up and down. The door 19 is provided within the chamber 11 so as to seal the gateway by linearly moving up and down and so as to create a vacant plane on the gateway for passing the work by horizontally moving.

Methods and apparatus for making and using tools, for example concrete cutting blades. The tool includes a first layer and second layer that are oppositely disposed. The first and second layers include working surfaces that support at least one working element when the working element is applied to a work piece. Additionally, an intermediate structure is included between the first and second layers. The intermediate structure can include a plurality of components extending in the area between the structural surfaces and the working surfaces.

The present invention provides transgenic soybean event MON87769, and cells, seeds, and plants comprising DNA diagnostic for the soybean event. The invention also provides compositions comprising nucleotide sequences that are diagnostic for said soybean event in a sample, methods for detecting the presence of said soybean event nucleotide sequences in a sample, probes and primers for use in detecting nucleotide sequences that are diagnostic for the presence of said soybean event in a sample, growing the seeds of such soybean event into soybean plants, and breeding to produce soybean plants comprising DNA diagnostic for the soybean event.

Provided is a lubricating oil composition for sizing which is excellent in machinability and degreasing efficiency and which is excellent in compatibility with an impregnating oil and a sintered metal of oil impregnated bearings. A lubricating oil composition for sizing, including (A) a lubricating base oil having a kinematic viscosity of 0.5 to 100 mm2/s at 40° C. and compounded therein (B) an extreme-pressure agent in an amount of 0.1 to 10% by mass, and (C) a metal deactivator in an amount of 0.01 to 5% by mass, each based on a total amount of the composition.

The present invention provide a two-component anti-seizure agent for hot metal working process comprising the first aqueous solution and the second aqueous solution, wherein the first aqueous solution contains 10˜30 mass % of sodium silicate equivalent to anhydride to 100 mass % of total mass of the first aqueous solution, and the second aqueous solution contains at least one kind selected from a group consisting of: an organic acid and water-soluble amine salts thereof, an inorganic acid and water-soluble amine salts thereof, a water-soluble amine, a water-soluble alcohol, and a water-soluble metal chloride. When the two-component anti-seizure agent is applied onto disk-roll type guide shoes, it can be provided and maintained on the circumferential surface of the disk-roll type guide shoes without washed away by rolls' cooling water. Thereby, the anti-seizure agent does not adhere to rolls and the rolls and a pipe material do not cause slippage each other. Thus, it is capable to carry out piercing-rolling of the pipe material.

Para-alkylated substituted diphenylamines are made by catalytically alkylating diphenylamine with a branched-chain alkene, such as propene, oligomer mixture in which the oligomer present in the greatest percentage has 15-24 carbon atoms. The alkylated diphenylamines are useful crankcase lubricant additives such as for reducing piston deposits and engine sludge.

The refrigerating machine oil of the invention includes an ester of a polyhydric alcohol and a fatty acid, wherein the molar ratio of C4-C6 fatty acid and C7-C9 branched fatty acid in the fatty acid is between 15:85 and 90:10, the C4-C6 fatty acid includes 2-methylpropanoic acid, and the ratio of the total C4-C6 fatty acid and C7-C9 branched fatty acid in the total fatty acids composing the ester is at least 20 mol %. The working fluid composition for a refrigerating machine according to the invention comprises the refrigerating machine oil, a difluoromethane refrigerant and/or an unsaturated fluorinated hydrocarbon refrigerant.

A composition is provided for use as a friction modifier for an automatic transmission, which comprises a condensation product of a hydroxypolycarbox-ylic acid, such as 2,3-di-hydroxybutanedioic acid or 2-hydroxybutanedioic acid, with an N,N-di(hydrocarbyl)alkylenediamine, where each hydrocarbyl group contains 1 to 22 carbon atoms, provided that the total number of carbon atoms in the two hydrocarbyl groups is at least about 9, and the alkylene group contains 2 to 4 carbon atoms.

The invention provides a lubricant composition containing (A) an ionic liquid having an anion represented by formula 1: (Rf1-SO2) (Rf2-SO2) N− or formula 2: (Rf3) (Rf3) (Rf3) PF3− wherein Rf1 and Rf2 in formula 1 may be the same or different and are each F, CF3, C2F5, C3F7 or C4F9, and Rf3 in formula 2 may be the same or different and is CF3, C2F5, C3F7 or C4F9; and (B) a fatty acid amine salt in an amount of 0.1 to 5.0 mass %. The lubricant composition of the invention can favorably be used under a high vacuum or an ultra high vacuum, or under high temperatures, and exhibits excellent rust prevention properties.

Provided is a method for preparing a grease composition, which comprises mixing an amine in a lubricating bas oil and an isocyanate in a lubricating base oil under high pressure and high flow rate impingement. In one embodiment, the mixing and reaction occurs in a reaction injection molding device. The resulting grease composition is an extremely low noise grease, being virtually clear of any urea thickener particles.

Corrosion by ammonia/amine salts in hydrocarbon streams such as distillation overhead streams that contain a mineral acid and water can be prevented, avoided or minimized by adding certain strong amines to the streams. The amines have a pKa between about 10.5 to about 12 and include, but are not necessarily limited to, dimethylamine, diethylamine, dipropylamine, diisopropyl-amine, di-n-butylamine, diisobutylamine, di-sec-butylamine, di-tert-butylamine, pyrrolidine, piperidine, and combinations thereof. If the hydrocarbon stream further includes a nitrogen-containing compound such as ammonia, a tramp and/or a residual amine which can form a corrosive salt with the mineral acid, then the added amine is a stronger base than the tramp or residual amine, if present. The amount of added amine is greater than total amount of nitrogen-containing compound, so that any corrosive salts formed are less corrosive than the salts that would otherwise form from the ammonia and/or tramp amine.

Various esterified alkyl ketal ester or hydroxyalkyl ketal ester products are useful as components of organic polymer compositions. The ketal esters are produced in certain transesterifications between alkyl ketal esters and/or hydroxyalkyl ketal esters and polyols, aminoalcohols, polyamines, and/or polycarboxylic acids. The products are excellent plasticizers for a variety of organic polymers, notable poly(vinyl chloride) plastisols. The products are also very good lubricants for many lubrication applications.

Systems and methods are provided for hydroprocessing a petroleum fraction, such as a bottoms fraction from a fuels hydrocracking process, to generate a lubricant base oil. A fuels hydrocracking process typically has less stringent requirements for the sulfur and nitrogen content of a feed as compared to a lubricant base oil. Additionally, depending on the nature of the feed for the fuels hydrocracking process, the bottoms fraction may contain a relatively high level of aromatics compounds. The aromatic content of such a petroleum fraction can be reduced using a aromatic saturation stage with multiple catalyst beds, or alternatively using a reactor (or reactors) with multiple aromatic saturation stages. The catalysts in the various beds or stages can be selected to provide different types of aromatic saturation activity. An initial bed or stage can provide activity for saturation of 1-ring aromatics in the petroleum fraction. One or more subsequent beds or stages, operating at successively lower temperature, can then be used to reduce the multiple-ring aromatic content of the petroleum fraction.

It is known by the inventor that a universal synthetic lubricant additive that can greatly enhance the performance standards of existing lubricants, petroleum based or synthetic, imparts a new and desirable property not originally present in the existing oil or it reinforces a desirable property already possessed in some degree can greatly benefit the consumer. Although additives of many diverse types have been developed to meet special lubrication needs, their principal functions are relatively few in number. This universal synthetic lubricant additive (invention) with micro lubrication technology, when used as directed will reduce the oxidative or thermal degradation of the host oil, substantially reduce the deposition of harmful deposits in lubricated parts, minimize rust and corrosion, control frictional properties, reduce wear, temperature, sludge, varnishes and prevent destructive metal-to-metal contact, reduce fuel consumption and harmful emissions while improving performance through increased horsepower and torque.

The invention relates to a process for producing ketones or hydrocarbon base oil from fatty acids preferably derived from a biological origin or other renewable source. The process is directed at making an aliphatic ketone or a mixture of aliphatic ketones having 14 to 52 carbon atoms, comprising a ketonization reaction of a fatty acid in a vapor phase with a decarboxylation-coupling catalyst to provide ketones, which can be deoxygenated to give saturated hydrocarbons, unsaturated hydrocarbons, and mixtures thereof. Base oils and transportation fuels may be produced from the process herein.

A machining installation for workpieces comprises a workpiece positioning device comprising a workpiece holder pivot unit as well as a tool positioning device comprising a tool holder pivot unit. The workpiece holder pivot unit is designed such that a workpiece holder is pivotable about at least three and no more than four workpiece holder pivot axes. Moreover, the tool holder pivot unit is designed such that a tool holder is pivotable about no more than two tool holder pivot axes. The machining installation has a simple design and ensures flexible and accurate machining of workpieces.

A method of voting with your feet is disclosed. A performance of a location-based action by a player of a computer-implemented game is associated with a vote on a matter. The performance of the location-based action by the player is detected. A count of votes corresponding to the vote on the matter is incremented based on the detecting of the performance of the location-based action by the player.

The invention relates to a machine tool (1), comprising a plurality of fixed tool spindles (3) and such that can optionally be displaced from a retracted idle position to an extended working position and can be positioned at different positions in a frame-like rack (2), and a workpiece carrier (4) with at least one workpiece holder (5), with the workpiece (4) carrier being movable at least in several axes in a translational manner and preferably also in a rotational manner. In order to provide advantageous constructional conditions it is proposed that at least one of the tool spindles (3) is associated with a tool magazine (7) plus tool changer (8).

A cutting device includes a support base, a first slide module, a second slide module slidably connected to the first slide module, and a cutting module. The support base includes a support surface and a slide portion on the support surface. The first slide module is slidably positioned on the slide portion. The sliding direction of the second slide module is perpendicular to the sliding direction of the first slide module. The cutting module includes a fixed frame fixed on the second slide module, a driving device fixed on the fixed frame, and a cutter connected to the driving device. The driving device drives the cutter to rotate around a central axis of the cutter and move up and down along the central axis. The central axis is perpendicular to the support surface. The cutter includes a hollow cylindrical blade. An end surface of the blade faces the support surface.

A multi-channel optoelectronic device is configured to establish a redundant status link with a remote device. The optoelectronic device can transmit N transmit optical signals to the remote device over a plurality of transmit channels and receive N receive optical signals from the remote device over a plurality of receive channels. The optoelectronic device includes one or more spare transmit and receive channels. When used with a remote device having spare transmit and receive channels, each device can establish a status link with the other and use the status link to switch out transmit and/or receive channels to identify and permanently switch out the worst transmit and/or receive channels. Alternately, the device can interoperate with a non-status-link enabled remote device by determining that the remote device is not status-link enabled, transitioning to a low transmit power mode, and transmitting and receiving over a plurality of default transmit and receive channels.

An optical transceiver has a communications mode and an optical time domain reflectometer (OTDR) mode. The transceiver comprises a transmitter channel and a receiver channel operable, in the communications mode, to respectively transmit and receive communications signals through respective external optical fibers. The transceiver also comprises a guide arrangement for guiding, in the OTDR mode, a reflected OTDR signal along a path from the transmitter channel into the receiver channel. A method of obtaining test data for an optical fiber in an optical data communications subsystem is also disclosed.

Methods and systems for decoding a signal include compensating for impairments in a received signal using at least carrier phase estimation, where residual phase error remains after compensation; calculating symbol log-likelihood ratios (LLRs) for symbols in the compensated signal using Monte Carlo integration; demapping the symbols in the compensated signal using the symbol LLRs and extrinsic information from signal decoding to produce one or more estimated codewords; and decoding each estimated codeword with a decoder that generates a decoded codeword and extrinsic information.

The invention provides optical interconnects of data-processing cores of multicore chips by means of digital planar holographic microchips. The method comprises delivering “N” laser lights to “N” data-processing cores on the host chip, coding the obtained optical signals by modulating them with the core-generated data, and then delivering the modulated and coded optical signals to a holographic microchip formed on the same substrate of the host chip as the data-processing cores, splitting the modulated and coded optical signals into (N−1)N modulated optical copy signals, delivering the copy signals to all data-processing cores except the one that generates the copy signals, and decoding the data obtained from the output signals delivered to the processing cores by the receivers. The method is efficient in that it allows replacing electrical interconnects between the cores with optical interconnects and can be matched to current semiconductor production technology.

A method and system for providing joint IP/Optical Layer restoration mechanisms for the IP over Optical Layer architecture, particularly for protecting against router failure within such architecture, includes any one of plural node elements participating in the detection and restoration of the joint IP/Optical Layer architecture upon the failure of a router in one of the nodes. The plural node elements may include, but are not limited to, one of plural routers and an optical cross-connect.

This invention relates to provisioning wavelength-selective switches and reconfigurable optical add-drop multiplexers to minimize the bandwidth narrowing effect from the optical filters. Novel architectures and methods are disclosed that can significantly reduce bandwidth-narrowing on channels in a reconfigurable WDM network where a large number of optical filter elements are cascaded. Instead of blocking unused channels as in the prior art, unused channels are selectively provisioned depending on the state of their adjacent channels. Unused adjacent channels of an active channel are provisioned to follow the same path as the active channels. As each channels is deployed, the channel frequency is selected so as to minimize bandwidth narrowing.

An optical module that outputs a wavelength multiplexed optical signal is disclosed. The optical module provides at least first to third optical source, a wavelength multiplexer, a polarization rotator, and a polarization multiplexer. The optical sources each outputting first to third optical signals with a wavelength different from others. The wavelength multiplexer multiplexes the first optical signal with the third optical signal. The polarization rotator rotates the polarization vector of one of the multiplexed first and third optical signals and the second signal by substantially 90°. The polarization multiplexer multiplexes the polarization rotated optical signal with the second optical signal.

Optical fiber-based distributed communications systems that provide and support both RF communication services and digital data services are disclosed herein. The RF communication services and digital data services can be distributed over optical fiber to client devices, such as remote antenna units for example. In certain embodiments, digital data services can be distributed over optical fiber separate from optical fiber distributing RF communication services. In other embodiments, digital data services can be distributed over common optical fiber with RF communication services. For example, digital data services can be distributed over common optical fiber with RF communication services at different wavelengths through wavelength-division multiplexing (WDM) and/or at different frequencies through frequency-division multiplexing (FDM). Power distributed in the optical fiber-based distributed communications system to provide power to remote antenna units can also be accessed to provide power to digital data service components.

Electrode milling cutter for machining spot welding electrodes, said electrode milling cutter having one or more milling edges, wherein at least one of the milling edges is interrupted by one or more cut-outs at one or more points. The invention also relates to a milling device and to an apparatus for subsequently machining spot welding electrodes.

A double-sided cutting insert may generally comprise a top surface, a bottom surface, at least one side surface interconnecting the top surface and the bottom surface and forming at least one cutting edge, a through hole extending between the top surface and bottom surface, wherein each of the top surface and bottom surface comprise at least one anti-rotation element. The cutting insert may comprise a single anti-rotation element on the top surface and a single anti-rotation element on the bottom surface. The anti-rotation element may be proximate to the through hole. A cutting tool using the cutting inserts, as well as methods of making and using the same are also described.

The present invention provides a hybrid digital and channel microfluidic device in the form of an integrated structure in which a droplet may be transported by a digital microfluidic array and transferred to a microfluidic channel. In one aspect of the invention, a hybrid device comprises a first substrate having a digital microfluidic array capable of transporting a droplet to a transfer location, and a second substrate having a microfluidic channel. The first and second substrates are affixed to form a hybrid device in which an opening in the microfluidic channel is positioned adjacent to the transfer location, so that a droplet transported to the transfer location contacts the channel opening and may enter the channel. The invention also provides methods of performing separations using a hybrid digital and channel microfluidic device and methods of assembling a hybrid digital microfluidic device.

Method and apparatus for performing a discrete glucose testing and bolus dosage determination including a glucose meter with bolus calculation function are provided.

An apparatus for storing and dispensing a test strip includes a container configured to store a stack of test strips. The container maintains appropriate environmental conditions, such as humidity, for storing the test strips. An engaging member is disposed in the container and is adapted to contact one test strip of the stack of test strips. An actuator actuates the engaging member to dispense the one test strip from the container. Since one test strip is dispensed at a time, the remaining test strips are not handled by the user. Accordingly, the unused test strips remain free of contaminants such as naturally occurring oils on the user's hand.

The present disclosure relates to an apparatus and process for forming medical devices from an injectable composition. The apparatus includes a supply assembly configured to maintain and selective dispense a first precursor and a second precursor, a mixing assembly configured to mix the first and second precursors, and at least one catalyzing element including a transition metal ion to aid in the polymerization of the first and second precursors. The process includes dispensing a volume of the first precursor and a volume of the second precursor into a mixing assembly and mixing the first and second precursors. The first and second precursors each possess a core and at least one functional group known to have click reactivity with each other. The mixed precursors are contacted with a transition metal catalyst to produce a flowable composition for use as a medical device.

The present invention includes microfluidic systems having a microfabricated cavity that may be covered with a removable cover, where the removable cover allows at least part of the opening of the microfabricated cavity to be exposed or directly accessed by an operator. The microfluidic systems comprise chambers, flow and control channels formed in elastomeric layers that may comprise PDMS. The removable cover comprises a thermoplastic base film bonded to an elastomer layer by an adhesive layer. When the removable cover is peeled off, the chamber is at least partially open to allow sample extraction from the chamber. The chamber may have macromolecular crystals formed inside or resulting contents from a PCR reaction. The invention also includes a method for making vias in elastomeric layers by using the removable cover. The invention further includes methods and devices for peeling the peelable cover or a removable component such as Integrated Heater Spreader.

Systems and methods for processing and analyzing samples are disclosed. The system may process samples, such as biological fluids, using assay cartridges which can be processed at different processing locations. In some cases, the system can be used for PCR processing. The different processing locations may include a preparation location where samples can be prepared and an analysis location where samples can be analyzed. To assist with the preparation of samples, the system may also include a number of processing stations which may include processing lanes. During the analysis of samples, in some cases, thermal cycler modules and an appropriate optical detection system can be used to detect the presence or absence of certain nucleic acid sequences in the samples. The system can be used to accurately and rapidly process samples.

An approach for IR-based metrology for detecting stress and/or defects around TSVs of semiconductor devices is provided. Specifically, in a typical embodiment, a beam of IR light will be emitted from an IR light source through the material around the TSV. Once the beam of IR light has passed through the material around the TSV, the beam will be analyzed using one or more algorithms to determine information about TSV stress and/or defects such as imbedded cracking, etc. In one embodiment, the beam of IR light may be split into a first portion and a second portion. The first portion will be passed through the material around the TSV while the second portion is routed around the TSV. After the first portion has passed through the material around the TSV, the two portions may then be recombined, and the resulting beam may be analyzed as indicated above.

Spectroscopy apparatuses oriented to the critical angle of the sample are described that detecting the spectral characteristics of a sample wherein the apparatus consists of an electromagnetic radiation source adapted to excite a sample with electromagnetic radiation introduced to the sample at a location at an angle of incidence at or near a critical angle of the sample; a transmitting crystal in communication with the electromagnetic radiation source and the sample, the transmitting crystal having a high refractive index adapted to reflect the electromagnetic radiation internally; a reflector adapted to introduce the electromagnetic radiation to the sample at or near an angle of incidence near the critical angle between the transmitting crystal and sample; and a detector for detecting the electromagnetic radiation from the sample. Also, provided herein are methods, systems, and kits incorporating the peri-critical reflection spectroscopy apparatus.

The present disclosure relates to an improved device and methods for adapting to a laser diffraction apparatus used for measuring particle size distribution and density of the plume of a powder composition emitted from a dry powder inhaler.

An estimation device is configured to estimate a feature value of a specific component contained in a sample and includes: a spectral estimation parameter storage module; a calibration parameter storage module; a multiband image acquirer; an optical spectrum operator configured to compute an optical spectrum from a multiband image using a spectral estimation parameter; and a calibration processor configured to compute the feature value from the optical spectrum using a calibration parameter.

Techniques and devices for measuring polarization crosstalk in birefringence optical media including polarization maintaining fiber.

A surface wave assisted system having an aperture layer with a surface and an aperture, and a plurality of grooves around the aperture. The plurality of grooves is configured to generate an optical transfer function at the aperture by inducing a surface wave for interfering with transmission of light of a range of spatial frequency.

An optical system for occupancy sensing according to the invention includes a plurality of optical line sensors, each consisting of a linear array of light sensing elements; and an optical light integrating device that integrates light from rays with incidence angles subject to geometric constraints to be sensed by a light sensing element.

A system and method of high-speed microscopy using a two-photon microscope with spectral resolution. The microscope is operable to provide two- to five-dimensional fluorescence images of samples, including two or three spatial dimensions, a spectral dimension (for fluorescence emission), and a temporal dimension (on a scale of less than approximately one second). Two-dimensional (spatial) images with a complete wavelength spectrum are generated from a single scan of a sample. The microscope may include one of a multi-beam point scanning microscope, a single beam line scanning microscope, and a multi-beam line scanning microscope. The line scans may be formed using one or more of curved mirrors and lenses. The multiple beams may be formed using one of a grating, an array of lenses, and a beam splitter.

A biochip for the integration of all steps in a complex process from the insertion of a sample to the generation of a result, performed without operator intervention includes microfluidic and macrofluidic features that are acted on by instrument subsystems in a series of scripted processing steps. Methods for fabricating these complex biochips of high feature density by injection molding are also provided.

A desk leaf base has a base formed of a trapezoidal tubular body in a trapezoidal shape in a side view, closed from a bottom surface to a certain height in both sides, and opened in an upper portion therefrom. An inclined front wall of the tubular body is removed from one side to the other side, in a range from the height to a higher height lower than a top surface. A binder mounted along an elongated top surface of the base has an elongated body and rings. The elongated body is mounted along the top surface of the base with an approximately same width as the top surface. The rings are mounted on the body and capable of opening and closing. Each ring includes linear portions that protrude from the body inclining upward on front and back sides when closing.

A switching circuit (400) comprising an inductive component (406) including at least one winding; and a switch (404) is configured to transfer power from a voltage source (402) to the inductive component (406) in accordance with a switch control signal (412). The switching circuit (400) also comprises a controller (408) configured to integrate the voltage across the inductive component (406) in order to generate a signal representative of magnetic flux in the inductive component (406); and use the signal representative of the magnetic flux in the inductive component to account for a peak magnetization current value in order to control the switch (404).

A power converter includes an active front end (AFE) that is coupled by a dc link stage to a plurality of H-bridge inverters. One or more multi-phase electro-magnetic energy conversion devices, such as transformers or electric machines, with open windings that are connected to only the AFE or only the H-bridge inverters or to both the AFE and H-bridge inverters, provide a regenerative or partial regenerative power converter.

The present invention is applied to a frequency converter used for a receiver. The frequency converter according to the present invention includes an LO signal generator (11) that generates an LO signal and outputs the LO signal; and a mixer (10) that multiplies a received signal that has been band-limited to a usable bandwidth of said receiver by the LO signal so as to convert the frequency of the received signal and outputs the resultant signal. Said LO signal generator is capable of varying a phase resolution.