Abstract: Apparatus and method estimate a position of a movable stage. The apparatus comprises: a stator comprising 2D array of sensors arranged relative to one another to provide a plurality of stator-Y oriented sensor columns and a plurality of stator-X oriented sensor rows; a movable stage comprising a first Y-magnet array comprising a plurality of first magnetization segments generally linearly elongated in a stage-Y direction, each first magnetization segment having a stage-Y direction length, Lyy, and a magnetization direction generally orthogonal to the stage-Y direction, the magnetization directions of the plurality of first magnetization segments exhibiting a first magnetic spatial period over ?x a stage-X direction width, Wyx, of the first magnet array; and a controller connected to receive information based on an output from each of the sensors and configured to use the information to determine a stator-X direction position of the movable stage.

Abstract: Described are personal care compositions comprising a polyacrylate oil gel, comprising: (a) at least one cosmetically acceptable hydrophobic ester oil, and (b) one or more polymers comprising: (i) a first polymerized unit, comprising: (1) 75% to 35% by weight, based on the weight of said polymerized unit, one or more (meth)acrylate monomers selected from at least one of C1-C4 (meth)acrylate, (meth)acrylic acid, styrene, or substituted styrene, and (2) 25% to 65% by weight, based on the weight of said polymerized unit, one or more hydrophobic monomers, including hydrophobically substituted (meth)acrylate monomers, with alkyl chain length from C6 to C22 and, (ii) a second polymerized unit, comprising: (1) 10-99% by weight, based on the weight of said polymerized unit, one or more monomers which has a Tg of more than 80° C. after polymer formation, (2) 1-10% of one or more (meth)acrylate monomers containing acid functional group, and (iii) optionally, a crosslinker.

Abstract: Displacement devices comprise a stator and a moveable stage. The stator comprises a plurality of coils shaped to provide pluralities of generally linearly elongated coil traces in one or more layers. Layers of coils may overlap in the Z-direction. The moveable stage comprises a plurality of magnet arrays. Each magnet array may comprise a plurality of magnetization segments generally linearly elongated in a corresponding direction. Each magnetization segment has a magnetization direction generally orthogonal to the direction in which it is elongated and at least two of the magnetization directions are different from one another. One or more amplifiers may be connected to selectively drive current in the coil traces and to thereby effect relative movement between the stator and the moveable stage.

Abstract: Displacement devices comprise a stator and a moveable stage. The stator comprises a plurality of coils shaped to provide pluralities of generally linearly elongated coil traces in one or more layers. Layers of coils may overlap in the Z-direction. The moveable stage comprises a plurality of magnet arrays. Each magnet array may comprise a plurality of magnetization segments generally linearly elongated in a corresponding direction. Each magnetization segment has a magnetization direction generally orthogonal to the direction in which it is elongated and at least two of the magnetization directions are different from one another. One or more amplifiers may be connected to selectively drive current in the coil traces and to thereby effect relative movement between the stator and the moveable stage.

Abstract: Provided is an environment-friendly slow-release sulfur-based nitrogen potassium compound fertilizer. The preparation includes first preparing sulfur-based nitrogen potassium compound fertilizer granules, and then conducting primary coating of stearic acid and secondary surface powder dusting of modified zeolite powder on the sulfur-based nitrogen potassium compound fertilizer granules, to obtain the slow-release sulfur-based nitrogen potassium compound fertilizer. The sulfur-based nitrogen potassium compound fertilizer granules are prepared from the following raw materials in parts by weight: 31 to 57 parts of urea, 10 to 20 parts of ammonium sulfate, 20 to 50 parts of potassium sulfate, 6 to 12 parts of a granulating auxiliary agent, and a proper amount of water.

Abstract: The present invention provides personal care formulations containing silicone modified polyolefins and having improved sensory feel, as well as being non-tacky and easily spreadable. The present invention also provides a method for treating body surfaces such as skin, hair, nails, etc., by applying the aforesaid personal care formulations externally to such a surface. The present invention also provides a method for improving the sensory feel of personal care formulations by including one or more silicone modified polyolefins in the formulations.

Abstract: Displacement devices comprise a stator and a moveable stage. The stator comprises a plurality of coils shaped to provide pluralities of generally linearly elongated coil traces in one or more layers. Layers of coils may overlap in the Z-direction. The moveable stage comprises a plurality of magnet arrays. Each magnet array may comprise a plurality of magnetization segments generally linearly elongated in a corresponding direction. Each magnetization segment has a magnetization direction generally orthogonal to the direction in which it is elongated and at least two of the magnetization directions are different from one another. One or more amplifiers may be connected to selectively drive current in the coil traces and to thereby effect relative movement between the stator and the moveable stage.

Abstract: A self-calibration method and apparatus for on-axis rotary encoders comprising the steps of: receiving output signals from a detector during a spindle-free response period, the signals including a plurality of data sets wherein each data set comprises the periods between sampling events occurring in one revolution of the encoder at an angular speed, selecting a data set pair from the output signals, wherein the data set pair contains two linearly uncorrelated data sets; defining a model of the angular distances between each sampling event occurring in one revolution of the encoder as a function of one or more damping coefficients and the periods between each sampling event as contained in the data set pair; solving the model for the angular distances for the data set pair using circular closure and dynamic reversal techniques; and establishing an encoder error map using the selected solved angular distances from the model.

Abstract: The preferred embodiments of the present invention are directed to high bandwidth positioning systems such as fast tool servos (FTS). The applications of this invention include, for example, diamond turning of mold with structured surface for mass production of films for brightness enhancement and controlled reflectivity, diamond turning of molds for contact lens and micro-optical positioning devices. Preferred embodiments of the fast tool servo can have a closed-loop bandwidth of approximately 20±5 kHz, with acceleration of up to approximately 1000 G or more. The resolution or position error is approximately 1 nm root mean square (RMS). In a preferred embodiment, the full stroke of 50 ?m can be achieved up to 1 kHz operation.

Abstract: A self-calibration method and apparatus for on-axis rotary encoders comprising the steps of: receiving output signals from a detector during a spindle-free response period, the signals including a plurality of data sets wherein each data set comprises the periods between sampling events occurring in one revolution of the encoder at an angular speed, selecting a data set pair from the output signals, wherein the data set pair contains two linearly uncorrelated data sets; defining a model of the angular distances between each sampling event occurring in one revolution of the encoder as a function of one or more damping coefficients and the periods between each sampling event as contained in the data set pair; solving the model for the angular distances for the data set pair using circular closure and dynamic reversal techniques; and establishing an encoder error map using the selected solved angular distances from the model.

Abstract: The preferred embodiments of the present invention are directed to high bandwidth positioning systems such as fast tool servos (FTS). The applications of this invention include, for example, diamond turning of mold with structured surface for mass production of films for brightness enhancement and controlled reflectivity, diamond turning of molds for contact lens and micro-optical positioning devices. Preferred embodiments of the fast tool servo can have a closed-loop bandwidth of approximately 20±5 kHz, with acceleration of up to approximately 1000 G or more. The resolution or position error is approximately 1 nm root mean square (RMS). In a preferred embodiment, the full stroke of 50 ?m can be achieved up tol kHz operation.