Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for 3D flight tracking of objects include a method including: determining at least one three dimensional trajectory for at least one golf ball hit into a three dimensional physical space based on observations by at least one golf ball sensor placed adjacent to the three dimensional physical space; calculating systemic and stochastic errors for the at least one three dimensional trajectory in accordance with variations in golf ball launching position, variations in locations for the at least one golf ball sensor, or both; and presenting a report showing a summary of the calculated systemic and stochastic errors to indicate preferred hitting positions, a different location for the at least one golf ball sensor, or both.

Abstract: Pneumatic simulator for an open bolt firearm including an actuator group having a stationary piston and a moving bolt. With each simulated firing cycle producing a firing event, the spring actuates moving bolt toward stationary piston such that the activator unseats a valve located in the stationary piston. Unseating the valve allows regulated compressed gas to exit a high pressure reservoir located in the firearm magazine well which drives the moving bolt back against the spring to complete a firing cycle. Subsequent firing cycles will continue automatically as long as the shooter keeps the trigger depressed. A tension rod, and laser also may comprise the simulator assembly. A nut may be used to secure the tension rod and laser. A laser cable may be used to electrically connect laser to a firing event signal generator. The firing event signal generator may include a magnet located in the moving bolt and a pickup positioned in the stationary piston.

Abstract: A ball bat includes outer shell segments longitudinally spaced apart from each other to form a gap between them. A joint connects the segments. A first outer shell segment may include a barrel portion of the ball bat and at least part of a tapered portion of the ball bat. A second outer shell segment may include at least part of the tapered portion. The joint may include a tubular element having a first portion positioned within the first outer shell segment and at least partially overlapping an interior surface of the first outer shell segment, and a second portion positioned within the second outer shell segment and at least partially overlapping an interior surface of the second outer shell segment. The tubular element may include an elastomeric material. In some embodiments, the joint may be formed by an elastomeric material connecting the outer shell segments in the gap.

Abstract: A system, method, and device are disclosed for creating a simulation that seamlessly switches or dissolves between see through Augmented Reality (AR) and Virtual Reality (VR) thereby creating a mixed reality environment. The mixed reality environment switching or dissolving between AR and VR (or vice-versa) automatically based on predefined rules. The system, method, and device enabling the use of existing real world devices (e.g., sports equipment) displaying the real world devices in both AR and VR modes.

Abstract: A system for determining potential changes in trajectories of golf shots includes a sensor array sensing swing data relating to a golfer's swing and trajectory data relating to the trajectories of each of a plurality of shots hit by the golfer and a computing arrangement including a data repository and a processor configured to: store in the data repository the swing data and the trajectory data; identify shots hit by the golfer that represent mishits; and determine output data based on the swing data and the trajectory data for all of the shots hit by the golfer that are not identified as mishits, the output data indicating an optimal shot achievable by the golfer.

Abstract: Systems, methods, and computer-readable media are disclosed for autonomous tennis assistant systems. Example methods include determining, by a device, an outer boundary line of a tennis court, generating a digital representation of the tennis court using the outer boundary line, where the digital representation includes at least a portion of an out-of-bounds area adjacent to the outer boundary line, determining a first location of a first tennis ball, and causing a tennis ball retrieval robot to move to the first location to retrieve the first tennis ball, where the tennis ball retrieval robot is wirelessly connected to the device.

Abstract: Simulated motion of the papillary muscles in a heart simulator is provided that simulates natural motion of the papillary muscles. This improves heart valve simulation. This can be done with a six degree of freedom robotic actuator (e.g., a Stewart platform or the like) appropriately driven by a controller. This can also be done with a robotic actuator that provides constrained motion of its effector by including a mechanical linkage, as long as the resulting simulated papillary muscle motion includes time-varying position and orientation of the papillary muscle.

Abstract: A system determining a spin axis of a ball includes a radar transmitting a signal into a target area. The radar includes a minimum of three receivers arranged so that two pairs of receivers are not co-linear. The system also includes a Processing Unit (“PU”) receiving data from the radar and determining a radar range of frequencies received at a point in time corresponding to differing velocities relative to the radar of different portions of the ball as the ball is spinning. PU divides the radar frequency range into a plurality of frequency components and calculating, for each of the frequency components, an angular position associated therewith. PU identifies as a projection of the spin axis in a plane perpendicular to a line of sight from the radar to the ball, a line perpendicular to a line represented by the determined angular positions.

Abstract: A Powder Dispersal Target Impact Indication System (PDS) includes a body configured to contain a powdered substance for dispersing into air external to the body on impact of a target by a firearm projectile. A mounting structure is used to mount the body to the target. A securing cap is configured to retain the powdered substance within the body. A dispersal aperture is configured to disperse the powdered substance.

Abstract: A method can include providing an object having a size smaller than a size of a known regulation object, projecting the object, via a delivery device, toward a trainee, and training the trainee to follow the object. A method can include determining a game parameter of a game trajectory of a sports object that was projected along the game trajectory in a real-time sports event, and based on the game parameters, adapting a delivery device to deliver a training object along a training trajectory that mimics at least a portion of the game trajectory, with the training object being smaller than the sports object.

Abstract: Systems and methods for sports analytics are disclosed. A system for evaluating athletic performance can include wearable sensor devices configured to be removably coupled to an athlete's body during athletic performance, and one or more equipment-mountable sensor devices configured to be coupled to reference objects adjacent to an athletic performance site such as a goal or equipment. A computing device can be communicatively coupled to the wearable sensor device(s) and the equipment-mountable sensor device(s). The computing device is configured to receive sensor data from each of the sensor device(s) and to determine at least one performance parameter.

Abstract: An apparatus includes support members, a cable, a rolling mechanism and a tackling bag. The cable is configured to extend between the support members. The rolling mechanism is configured to traverse the cable and includes first and second sets of wheels. The cable is configured to extend between two wheels of the first set of wheels and between two wheels of the second set of wheels. The tackling bag is configured for attachment to the rolling mechanism. When a downward force is applied to the tackling bag, the pulley device detaches from the wheel housing and a portion of the cable extends around one of the two wheels of the first set of wheels and around one of the two wheels of the second set of wheels to prevent the rolling mechanism from further traversing the cable once the downward force is applied to the tackling bag.

Abstract: An improved target label for shooting that includes at least one toner layer defining an image of a target, superimposed over a colored substrate having a color different from the toner layer, and an ink layer underlying the toner layer. When a projectile strikes and penetrates the target, the ink and toner layer displaces and scatters over an area surrounding the point of penetration, exposing the underlying colored substrate layer. The scattering of toner particles visually resembles gun powder and visually simulates damage over an area wider than the point of penetration by the projectile.

Abstract: Disclosed are various embodiments of a golf training system. In one non-limiting example, a system includes a feedback device, a sensor, and a computing device. The computing device is configured to at least receive sensor data from the sensor during the golf swing of the user and identify a plurality of body movements in which each respective body movement corresponds to a stage of a golf swing sequence based at least in part on the sensor data. The computing device can also be configured to activate a plurality of feedback indicators according to the golf swing sequence for feedback to the user during the golf swing.

Abstract: A method can include providing an object having a size smaller than a size of a known regulation object, projecting the object, via a delivery device, toward a trainee, and training the trainee to follow the object. A method can include determining a game parameter of a game trajectory of a sports object that was projected along the game trajectory in a real-time sports event, and based on the game parameters, adapting a delivery device to deliver a training object along a training trajectory that mimics at least a portion of the game trajectory, with the training object being smaller than the sports object.

Abstract: Card-handling devices may include an input area sized and shaped to receive cards and an output area for outputting at least some of the cards. A defect detection system may be located along a card path downstream from the input area. The defect detection system may be configured to scan at least one card to determine whether at least one characteristic of the at least one card has been modified beyond a predetermined limit or whether the at least one characteristic of the at least one card is within the predetermined limit. A diverter may be configured to divert the at least one card from the card path when the at least one characteristic of the at least one card has been modified beyond the predetermined limit and enable the at least one card to continue on the card path when the at least one characteristic of the at least one card is within the predetermined limit.

Abstract: A basketball training system includes a server computer and a basketball training machine. The server computer executes a workout module that manages operation of a graphical user interface that presents a graphical representation of a portion of a basketball court and receives user inputs that define a workout program that includes selected ball delivery locations relative to the visual representation. The basketball training machine receives the workout program and delivers basketballs to the selected ball delivery locations.

Abstract: This disclosure is directed to an improved ballistic concrete mixture which is operable to be cast in many forms such as blocks. The improved ballistic concrete mixture provides an effective barrier for stopping projectiles with a kinetic energy of between about 1.0 kJ (750 foot-pounds) and 20.3 kJ (15,000 foot-pounds) in between about 3 inches and 10 inches such as a fifty-caliber round. The improved ballistic concrete mixture is useful in the erecting of new structures which need ballistics protection or for retrofitting existing structures with ballistics protection.

Abstract: A modular target having a support pole and a head. The head is preferably removable. The head is configured for removable attachment of a target. The head has a rail onto which a sleeve of a target is attached. The rail is preferably cylindrical. The target is configured with a sleeve that slides over the rail. Preferably a shooting face extends from the sleeve. Further, the shooting face is configured such that a moment arm allows the shooting face to hang at a 5-20 degree angle from vertical, with the preferred angle being 10 degrees. In a preferred embodiment the modular target utilizes a removably head configured with a neck that attaches to a vertical support pole. The vertical support pole preferably has a slide hammer attached that allows for easier placement of the target in the ground. Preferably the support pole has a fin that serves to resist rotation of the support pole when the target is hit by a projectile fired by a firearm.

Abstract: A gaming system combines roulette and mahjong gaming into a single new game for ball-effecting a mahjong event. The game may comprise a grouped series of roulette wheel assemblies bearing mahjong symbols and a plurality of balls respectively receivable in ball-receiving sectors for identifying a number of mahjong symbols. The group of mahjong symbols identified by the randomly received balls defines a wagerable mahjong event. Players may participate in the gaming in a player participation area, which area is opposed a theatrical or auditorium type visual display of the grouped roulette wheel assembly action. Players may input their wagers in the player participation area and watch the roulette action unfold on the visual displays. Certain methodology for effecting the mahjong event is further supported by the roulette medium.