Abstract: A bulletproof binder may be operable to quickly transform into a wearable shield adaptable to protect a user against firearms projectiles or other weapons. The bulletproof binder may include a removable shield, front cover, rear cover, or spine, which may be made of bullet-resistant or bulletproof materials. The bulletproof binder may include a bulletproof wrap configured to fit around a user's waist, back, or another body part. The wrap may be an optional choice for users who want extra protection. Fasteners may allow removable shield, or another part of the bulletproof binder, to be removed, rearranged, used as a handheld shield, or used as an extension of a bulletproof vest type of configuration.

Abstract: A cut, slash and/or abrasion resistant shaped knit garment having both high cut resistance and preferably light fabric weight, a cut resistance of at least 1500 (as measured by ASTM-F1790-2005) and preferably a fabric weight of no more than 27.9 ounces/square yard (OPSY).

Abstract: [The present invention is] a dart game apparatus that provides a dart game in which one player successively throws n number of (n=3 or 4) darts D at a dart board 12, having: light sources LS that are disposed around the dart board 12 and emit lights L along the board face of the dart board 12; a plurality of photo-sensors S that are disposed around the dart board 12 at approximately the same height from the dart board 12 in the board thickness direction, and detect the brightness of the lights L emitted from the light sources LS; and a processor that calculates a hit position of a dart D in the dart board 12 based on the brightness of each light. A number of photo-sensors S is n×2.

Abstract: The present invention relates to a partial or fully self-healing illumination system connected to or directly on a shooting target used for practice, competition, or qualification. More specifically, this invention relates to a system that uses a light and a self-healing reflector configured to project light towards the shooter while allowing partial or full pass-through projectile strikes.

Abstract: Provided is a centerfire rifle cartridge. A case has a head end, an open mouth end for receiving a projectile, and a central axis. The head end has a base portion substantially conforming to that of a .50 BMG cartridge. The case has a case wall with a taper of up to 1.0° relative to the central axis. A frusto-conical shoulder portion extends from the case wall and has an angle of approximately 40° relative to the central axis. A neck portion extends from the shoulder portion and has a mouth sized to receive a .375 caliber (9.5 mm) projectile.

Abstract: The invention describes a tubular projectile which is suitable for being fired in particular by bows or crossbows (such as bolts and arrows), but can also be fired from other shooting devices (for example firearms). The arrow is set in rotation about its longitudinal axis by the air passing through after being fired. The rotation is achieved by elevations or recesses applied to the inner surface, which are primarily designed in a linear manner and, by interaction with the air passing through, create a trajectory-stabilizing rotation of the rod or hollow tube. To this end, the arrow generally requires no or less fletching or other elements that stabilize the trajectory.

Abstract: An arrow comprising: an arrow shaft including a toggle movable between a first state and a second state; an arrowhead including an arrowhead body and an arrowhead tip, wherein the arrowhead body includes a first end and a second end, the second end being attached to the arrow shaft; and at least one barb vane including a first end and a second end, the first end being pivotally mounted to the arrowhead body at a pivot, wherein the barb vane is pivotably movable between a first configuration and second configuration; wherein, when the toggle is in the first state, the barb vane is locked in the first configuration and, when the toggle is in the second state, the barb vane is permitted to move freely into the second configuration.

Abstract: The invention relates to the field of drilling and blasting operations, and more particularly to confining gaseous explosion products in a charge cavity, and can be used in rock blasting using borehole charges. The technical result of the invention is that of reducing the specific charge of explosive per cubic metre of blasted rock mass, increasing the fragmentation of the rock mass, making it possible for explosive to be loaded into and work effectively in a borehole with excess water pressure (flooded boreholes), providing ease of use and structural simplicity, providing ease of transportation and storage since the device can be dismantled to compact dimensions, and reducing the weight of the structure. A further technical result is the possibility of using devices of a single type in boreholes of different lengths and types (flooded or non-flooded), thus making it possible for the claimed device to be used as a universal device for all types of boreholes.

Abstract: Methods for using a single explosive material whose specific volume energy can be controlled for use in at least a segment of a borehole. Alternatively, or additionally, methods for using mixtures of one or more explosive materials and one or more non-explosive energetic materials whose specific volume energy can be controlled for use in at least a segment of a borehole. Such methods include determining a target specific volume energy required for the explosive/energetic materials in the segment of the borehole and selecting a product mixture for that segment of the borehole which will produce the required target energy.

Abstract: Embodiments herein provide determining blind fastener length. One embodiment is a gauge tool that includes a base plate, and a nose piece including a hollow cylindrical member extending through the base plate and an expandable tip configured to radially expand to circumferentially contact a back rim of a hole. The nose piece is configured to slide with respect to the base plate to retract into the base plate until stopped by the expandable tip pressing the back rim of the hole. The gauge tool further includes a measurement device configured to detect a translating distance of a slidable member moving with retraction of the nose piece, and to display the translating distance for determining a fastener length for the hole.

Abstract: The present invention relates to a segmented, combination level and square that has a sliding and/or magnetic joint. In a preferred embodiment, this hand tool provides the user with many optional tools in one. The tool can be configured as a spirit level, framing square or a pocket square. In a preferred embodiment, this multi-segmented combination tool also provides the user with a convenient way not only to configure a level, in one inch increments, to any length from twelve inches to at least ninety six inches in length, but also to create more than one tool at a time such as a pocket square and a framing square. In other preferred embodiments, the user is provided with optional features that enable them to carry on-site a single tool that can perform all tasks to do general construction layout such as roof framing.

Abstract: A surface property measuring device includes a measuring arm that is supported so as to be capable of circular arced movement, a stylus that is provided to a distal end of the measuring arm, a position change detector that detects a change in position of the measuring arm, and a measurement force applier (voice coil motor) that biases the measuring arm in a circular arced movement direction and applies a measurement force. A control device includes a central controller that outputs a measurement force instruction that issues an instruction for an orientation and size of the measurement force, and a measurement force controller that controls the orientation and size of the measurement force produced by the measurement force applier. The measurement force controller monitors a position change detection, and when a position change speed of the measuring arm exceeds a predetermined threshold value, applies feedback.

Abstract: The present disclosure uses a surface property measuring device that includes an arm swingably supported so as to displace a stylus vertically, and an arm lifter that holds the stylus at a predetermined height by rotating the arm. After arranging the arm lifter in a state where the arm can be held at a lower limit height that is only a predetermined drop amount below a predetermined measurement height, the arm is arranged at the measurement height and the stylus contacts a measured object, and in this state surface properties of the measured object are measured.

Abstract: A position detection device, for detecting a change in relative position of a detection object with respect to a reference portion, includes: a base portion immovable with respect to the reference portion; a following portion deformable or movable following relative movement of the detection object with respect to the reference portion; an expandable and contractible member; and a heat flux detection section. The expandable and contractible member is provided between the base portion and the following portion, is made of a material expandable and contractible according to deformation or movement of the following portion, and generates heat during contraction and absorbs heat during expansion. The heat flux detection section is provided to be subjected to heat of the expandable and contractible member, and is configured to detect a heat flux that is a flow of heat between an inside and an outside of the expandable and contractible member.

Abstract: A device for detecting wear of a wear member composed of electrically resistive material. The wear member comprises at least two electrodes separated from each other, where each electrode overlies, or is embedded in, an outer surface of the electrically resistive material. One of the electrodes is connected to a resistor at a measurement node to form a resistive voltage divider. A voltage measurement device measures a change in voltage at the measurement node, where the change is voltage is indicative of the degree of removal of resistive material from a face of the wear member and where the change in voltage is continuously variable and not limited to discrete wear levels.

Abstract: An integrated circuit device and a high bandwidth memory device are disclosed. The integrated circuit device includes a plurality of warpage detection sensors at a plurality of different positions, respectively, and electrically connected in series. Each of the plurality of warpage detection sensors is configured to generate a clock signal with a period that is based on a resistance that varies based on a pressure at a corresponding position, and to generate digital data by performing a counting operation in response to the clock signal.

Abstract: An angle sensing device including a first object, a second object, a magnetic field source, and a first magnetic sensor is provided. The second object is adapted to be rotated with respect to the first object, so that an inclined angle of the second object with respect to the first object is changed. The magnetic field source is connected to the second object. The first magnetic sensor is connected to the first object, and configured to sense a magnetic field generated by the magnetic field source. When the second object is rotated with respect to the first object, the magnetic field sensed by the first magnetic sensor changes, so that an output signal of the first magnetic sensor corresponding to the magnetic field changes.

Abstract: A method for estimating an offset between a first group and a second group of contacts with respect to a longitudinal direction. Each group of contacts includes a plurality of electrodes arranged along a surface of a body of a lead. The method includes the steps of: (a) Selecting a number of electrode pairs, each electrode pair including an electrode of the first contact group and an electrode of the second contact group, and measuring the impedances between the electrodes of each selected electrode pair; (b) pre-conditioning the measured impedances for attenuating unwanted noise to generate pre-conditioned impedances, and (c) determining the lead offset using the pre-conditioned impedances.

Abstract: A tracking system for determining at least one spatial position and an orientation of at least one measurement object includes at least three cameras. The at least three cameras are each arranged at different spatial positions. Each of the at least three cameras has at least two color subsystems. Each of the color subsystems has at least one bandpass filter. Each of the bandpass filters of the color subsystems of the respective camera has different passbands.

Abstract: A wafer alignment apparatus includes a light source, a light detection device, and a rotation device configured to rotate a wafer. The light source is configured to provide a light directed to the wafer. The light detection device is configured to detect reflected light intensity from the wafer to locate at least one wafer alignment mark of wafer alignment marks separated by a plurality of angles. At least two of those angles are equal.

Abstract: Performing critical-dimension localization microscopy includes: subjecting a first dimensional member and a second dimensional member of a reference artifact to critical-dimension metrology, the first and second dimensional members, in combination, including a critical dimension and each independently providing optical contrast; determining a primary length of the critical dimension to be traceable to International System of Units meter; imaging in a calibrant optical field, by optical microscopy, the first dimensional member and the second dimensional member, the calibrant optical field disposed in an ocular optical field; determining, from the optical microscopy of the first dimensional member and the second dimensional member, a secondary length and a secondary length uncertainty of the critical dimension subjected to the critical-dimension metrology; and calibrating the calibrant optical field and the secondary length, to the primary length to establish traceability of the secondary length to the Internat

Abstract: A bonding apparatus having an optical system, an imaging element for acquiring an image formed by the optical system as a picture, an illumination unit for illuminating an electronic component, and a control part for processing the image acquired by the imaging element, the control part illuminating the electronic component through a first inclined optical path inclined with respect to the optical axis of a first portion of the optical system facing the electronic component and acquiring a first image, illuminating the electronic component through a second inclined optical path inclined toward the opposite side from the first inclined optical path with respect to the optical axis and acquiring a second image of the electronic component as a subject, and calculating an amount of variation from a reference height of the electronic component on the basis of the positional offset amount between the first image and the second image.

Abstract: A shape measuring device includes a holding unit which holds a measuring target of which a shape is to be measured, a first measurement unit which measures relative coordinates of a plurality of measurement points on a first surface of the measurement target with respect to a defined point, a second measurement unit which operates independently from the first measurement unit and measures relative coordinates of a plurality of measurement points on a second surface of the measurement target, which is a reverse surface of the first surface, with respect to the defined point, and a calculation unit which calculates a shape of the measurement target on the basis of results measured by the first measurement unit and the second measurement unit.

Abstract: A light projection calibration device includes a light emission element and an optical element. The light emission element is used to emit light and includes a plurality of light emission points. The plurality of light emission points are used to emit the light and orderly arranged to form a predetermined pattern. The optical element is disposed according to position of the light emission element and used to diffract the light to generate diffracted light. The diffracted light is projected to a far field plane to generate a plurality of fan-out points on the far field plane. The fan-out points are analyzed to obtain a light intensity waveform used to determine whether the light emission element and the optical element are aligned to an acceptable level.

Abstract: Provided is a method for evaluating production precision of a spectacle lens having micro convex segments protruding from a convex surface on an object side of the spectacle lens, including measuring a shape of the convex surface of the spectacle lens; setting an actual device virtual model including a spectacle lens model based on the measured shape and an eyeball model; performing ray tracing calculation on the actual device virtual model and specifying an actual device convergence position where light rays converge on an front side of a retina of the eyeball model; and evaluating production precision of the spectacle lens on the basis of the actual device convergence position.

Abstract: A position detecting apparatus includes a signal detecting unit that detects a plurality of periodic signals, a correction unit configured to correct the plurality of periodic signals using a correction value to generate a plurality of correction signals, a first calculating unit configured to generate a plurality of displacement signals based on the plurality of correction signals and to calculate the position based on the plurality of displacement signals, a second calculating unit configured to calculate a reliability based on the plurality of displacement signals, and a correction value adjusting unit configured to adjust the correction value based on the reliability. The second calculating unit calculates a first reliability corresponding to a first correction value and a second reliability corresponding to a second correction value, and changes the first correction value to the second correction value when the second reliability is higher than the first reliability.

Abstract: A confocal optical protractor for simultaneously measuring roll angle, pitch angle and yaw angle of an element that includes a tunable laser source generating a laser beam and an SPPR device responsive to the laser beam. The protractor also includes a beam splitter receiving and splitting an output beam from the SPPR device, and a lens being responsive to and projecting the split beam onto the element and being responsive to a reflected beam from the element. The protractor further includes a measurement detector responsive to the reflected beam from the element, where the reflected beam is imaged by the lens onto the measurement detector, and a processor receiving and processing image data from the measurement detector and generating the pitch, yaw and roll angles from the data, where the image data includes an orientation of an vortex intensity pattern in the split beam.

Abstract: A method for simultaneously measuring roll angle, pitch angle and yaw angle of an element. The method includes directing a laser beam into a spiral phase plate resonator (SPPR) device to generate an optical vortex intensity pattern having a centroid and radial light peaks. The method reflects the laser beam off of the element after it has propagated through the SPPR device so that the laser beam is directed onto a camera that generates images of the optical vortex intensity pattern. The method determines a location of the centroid in the images, determines integrated counts along a radial direction from the centroid in the images, and determines a location of the radial light peaks in the images using the integrated counts. The method changes the frequency of the laser beam to rotate the radial light peaks, and estimates the roll angle of the element from the change in frequency.

Abstract: A design of a diffraction limited, microscope objective with a curved image plane is presented. The described microscope objective is used with a two-degree-of-freedom galvanometer scanning system including two galvo mirrors with a relay step between the mirrors to enable scanning in both directions over the full, curved field for creating custom refractive structures across the 6.5 mm optical zone of contact lenses using femtosecond micro-modification.

Abstract: Metrology methods and tools are provided, which enhance the accuracy of the measurements and enable simplification of the measurement process as well as improving the correspondence between the metrology targets and the semiconductor devices. Methods comprise illuminating the target in a Littrow configuration to yield a first measurement signal comprising a ?1st diffraction order and a 0th diffraction order and a second measurement signal comprising a +1st distraction order and a 0th diffraction order, wherein the ?1st diffraction order of the first measurement signal and the +1st diffraction order of the second measurement signal are diffracted at 180° to a direction of the illumination, performing a first measurement of the first measurement signal and a second measurement of the second measurement signal, and deriving metrology metric(s) therefrom. Optionally, a reflected 0th diffraction order may be split to yield components which interact with the ?1st and +1st diffraction orders.

Abstract: In order to improve the throughput performance and/or economy of a measurement apparatus, the present disclosure provides a metrology apparatus including: a first measuring apparatus; a second measuring apparatus; a first substrate stage configured to hold a first substrate and/or a second substrate; a second substrate stage configured to hold the first substrate and/or the second substrate; a first substrate handler configured to handle the first substrate and/or the second substrate; and a second substrate handler configured to handle the first substrate and/or the second substrate, wherein the first substrate is loaded from a first, second or third FOUP, wherein the second substrate is loaded from the first, second or third FOUP, wherein the first measuring apparatus is an alignment measuring apparatus, and wherein the second measuring apparatus is a level sensor, a film thickness measuring apparatus or a spectral reflectance measuring apparatus.

Abstract: Provided is a charged particle beam device which includes a storage unit that stores relationship information indicating a relationship between intensity or an intensity ratio of a charged particle signal obtained when a layer disposed on the sample is irradiated with the charged particle beam and a thickness of the layer; and a calculation unit that calculates the thickness of the layer as a thickness of the sample by using the relationship information and the intensity or the intensity ratio of the charged particle signal.

Abstract: A pipeline inspection system includes a pipeline pig having a controller and a plurality of ultrasonic transducer elements situated in an array. Each of the plurality of ultrasonic transducer elements emits an ultrasonic signal into a wall of a pipeline and receives echoes of the ultrasonic signal from the pipeline wall. The controller selects a first subset of the plurality of ultrasonic transducer elements from which to emit the ultrasonic signals into the wall of the pipeline as the pipeline pig passes through the pipeline, analyzes the echoes of the ultrasonic signals received by the plurality of ultrasonic transducer elements to detect a feature in the pipeline wall, and selects a second subset of the plurality of ultrasonic transducer elements to emit the ultrasonic signals into the wall of the pipeline as the pipeline pig passes through the pipeline when the feature is detected in the pipeline wall.

Abstract: A coordinate measuring system includes a scanning module having a laser line scanner and a projection device. The laser line scanner projects a laser line onto a surface of a workpiece and produces scan data from a reflection of the laser line. The projection device and/or the laser line scanner project three optical markers onto the surface of the workpiece, at least one of the three markers being disposed on the laser line and at least one of the three markers being at a distance from the laser line. The coordinate measuring system includes an optical sensor capturing image data of the three optical markers and an evaluation device determining a position and an orientation of the coordinate system of the laser line scanner in the coordinate system of the optical sensor based on the image data of the optical sensor and the scan data of the laser line scanner.

Abstract: The present invention discloses a structural light parameter calibration device and method based on a front-coating plane mirror. The calibration device includes a camera, a laser, a front-coating plane mirror, a flat glass target, and white printing paper. The white printing paper receives a laser beam and presents a real light strip image, and the camera captures the real light stripe image and a mirror light stripe image on the front-coating plane mirror. Feature points are used to determine a rotation matrix, a translation vector, and a vanishing point for the image. The present invention achieves better quality of light stripe and better extraction accuracy, provides feature points with micron-level positional accuracy and more calibration points, and features higher calibration accuracy and more stable calibration results.

Abstract: A surface sensing device is mounted on an articulating probe head of a coordinate measuring machine. The device includes an elongate probe holder which is rotatable about an axis. An elongate sensing module includes a surface finish or surface roughness probe with a stylus tip. This is connected to the probe holder via an adjustable knuckle joint. To determine the geometry of the surface sensing device, including the tip normal and drag vector of the stylus tip, the orientations of the probe holder and the sensing module are determined by probing points which are spaced along their lengths, using a separate probe.

Abstract: Pressure assisted positioning method and device thereof are disclosed in the present invention. The pressure assisted positioning device is exerted for positioning a target under the circumstance of altitude change since the target enters a specific region. The pressure assisted positioning method includes the following steps. First, confirming the entrance of the specific region of the target and detecting a plurality of pressure data. Then, calculating a pressure variation between the two selected pressure data. At last, comparing the pressure variation to a threshold. An altitude change within the specific region is confirmed as the pressure variation is greater than the threshold. On the other hand, as the pressure variation is greater than the threshold, it refers to no altitude change within the specific region.

Abstract: The underground inclinometer system includes a probe having a displacement measurement sensor measuring displacement of the ground, a cable controller controlling the length of a cable inserted into the ground to move the probe within an inclinometer pipe, and a ground displacement calculator calculating the displacement of the ground by using displacement measurement information measured by the probe and information on the length of the cable controlled by the cable controller.

Abstract: An expandable level capable of expanding from a fully closed position to a fully open position, with full functionality in both positions. The expandable level includes a central body having at least one horizontal bubble, and two slide portions each having two bubbles, where one bubble on each slide portion is also a horizontal bubble. Even when the expandable level is fully closed, the vertical bubble, the diagonal bubble, and both horizontal bubbles on the slide portions are visible. When the expandable level is fully opened, at least one additional horizontal bubble of the central body becomes visible, thereby showing at least five bubbles. The expandable level can be made in a size that makes it easy to carry and store when closed, nevertheless providing a fully-functional and convenient level tool when open. Thus, the expandable level eliminates the need to carry more than one non-expandable level of different sizes.

Abstract: An apparatus and method are presented comprising one or more sensors or cameras configured to rotate about a central motor. In some examples, the motor is configured to travel at a constant linear speed while the one or more cameras face downward and collect a set of images in a predetermined region of interest. The apparatus and method are configured for image acquisition with non-sequential image overlap. The apparatus and method are configured to eliminate gaps in image detection for fault-proof collection of imagery for an underwater survey. In some examples, long baseline (LBL) is utilized for mapping detected images to a location. In some examples, ultra-short baseline (USBL) is utilized for mapping detected images to a location. The apparatus and method are configured to utilize a simultaneous localization and mapping (SLAM) approach.

Abstract: Motion data processing includes receiving a plurality of motion data samples, wherein the plurality of motion data samples comprises a plurality of acceleration data samples obtained by an accelerometer and a plurality of angular velocity data samples obtained by a gyroscope, and the plurality of motion data samples pertains to a plurality of motions performed by a user; and correcting for distortions in the motion data samples, including determining, based at least in part on some of the motion data samples, a set of one or more corrected core measurements of the user's body positions during a subset of the plurality of motions.

Abstract: Various implementations directed to a wellbore survey tool using Coriolis vibratory gyroscopic sensors are provided. In one implementation, a system may include a survey tool disposed in a wellbore. The survey tool may include a plurality of gyroscopic sensors configured to provide a plurality of rotation rate measurements about the survey tool, where the plurality of gyroscopic sensors includes a plurality of quartz Coriolis vibratory gyroscopic (CVG) sensors. The survey tool may further include a plurality of accelerometers configured to provide measurements of the orthogonal components of the Earth's gravitation vector with respect to the survey tool.

Abstract: A sensor unit includes a sensor module and a case having a storage space for storing the sensor module. In addition, the sensor module also includes an inertial sensor and a package for storing the inertial sensor. In addition, the package also includes a bottom surface and a side surface connected to the bottom surface. In addition, the case includes a bottom portion on which a protrusion is disposed, in which the protrusion protrudes into the storage space and includes a mounting surface for the bottom surface of the sensor module to be mounted, and an abutment portion having an abutment surface that abuts the side surface of the sensor module. Further, in plan view of the bottom portion, a separation distance between the abutment surface and the protrusion is longer than a separation distance between the abutment surface and the inertial sensor.

Abstract: A sensor unit with high reliability and stable detection accuracy against vibrations of an installation target object is to be provided. A sensor unit includes: a sensor module configured including a substrate with inertial sensors mounted thereon, and an inner case in which the substrate is installed; and an outer case accommodating the sensor module. A recessed part is formed in the inner case. The inertial sensors are arranged in an area overlapping with the recessed part as viewed in a plan view seen from the direction of thickness of the substrate, and a filling member is provided to fill a space formed by the substrate and the recessed part. The sensor module is joined to a bottom wall of the outer case via a joining member.

Abstract: The present invention relates to method of localisation for devices. More particularly, it relates the use of both local and remote resources to provide substantially real time localisation at a device. According to an aspect, there is provided a method of determining a location of a device having one or more sensors comprising the steps of: sending a localisation request to a server system, the localisation request comprising at least a portion of data from the one or more sensors; receiving localisation data from the server system in response to the localisation request; and determining a location of the device from the received localisation data. Optionally, the method includes the further step of estimating a location of the device based on data from the one or more sensors and wherein the step of determining a location of the device includes determining the location of the device using the estimated location.

Abstract: A sensor calibration device acquires a measured value of an attitude of a vehicle based on an output of an attitude sensor, acquires vehicle speed information indicating a traveling speed of the vehicle, acquires map information on a road on which the vehicle travels, and sets a calibration value applied to the measured value to cause a calculated position of the vehicle calculated based on the vehicle speed information and the measured value to come close to a reference position indicated in the map information.

Abstract: A sports mask is disclosed that includes either: a snorkel and a SCUBA unit; a color underwater camera; a 3D color underwater camera; an augmented reality display projected onto the lens; a co-axial breathing hose-to-scuba unit; computerized underwater navigation; non-GPS computerized underwater navigation; a computerized navigation system that combines visual edge recognition and inertia navigation; an optical transponder; or RF communications.

Abstract: The present invention relates to a method for estimating the movement of an object (1) moving in an ambient magnetic field, the method being characterised in that it comprises the steps of: (a) Acquiring by magnetic measurement means (20) integral with said object (1) at least one component: of the magnetic field and/or of at least one i-th derivative of the magnetic field, with n+1?i?1, n?1, ?at the level of the magnetic measurement means (20); (b) Estimating by the data processing means (21, 31, 41) at least one component of the movement of said object (1) using at least one component of the equation ?{dot over (n)}B=fn(?)·?nB+gn(?n+1B)·V, where ?nB is an n-th derivative of the magnetic field, ? the instantaneous angular velocity, V the instantaneous linear velocity, and fn and gn predetermined functions.

Abstract: Embodiments of the disclosure provide a system and method for determining a trajectory of a subject. The method can include acquiring motion data of the subject to which the mobile device is attached; determining a motion status of the subject based on the motion data; and determining the trajectory based on the motion data using a trajectory model corresponding to the motion status.

Abstract: Self-stabilizing autonomous devices and use thereof in autonomous vehicles are disclosed herein. An example device can include a body member having a central axis extending therethrough, a delivery platform disposed on a first end of the body member, a translation assembly disposed on a second end of the body member, a ballast assembly, and a controller that is configured to control operation of at least one of the translation assembly or the ballast assembly so as to balance forces exerted on the device and maintain the delivery platform in a desired orientation as the device moves across an operating surface.