Electronic and optoelectronic measuring and checking apparatus, namely, apparatus in the nature of accelerometers, distance sensors, velocity sensors and acoustic emission sensors for measuring oscillatory and vibratory behavior of rotating machines; software for analyzing oscillatory and vibratory behavior of rotating machines and for visualizing the results of such analysis; optical, laser, and electrical sensors for use in shaft alignment; alignment software for performing optical, laser optical and electrical alignment tasks with industrial machinery; surveyors' levels; alignment computers, laser based alignment rulers, gyroscopes, machinery alignment gyroscopes, laser based gyroscopes, computers for determining a spatial direction of objects, computer hardware working in cooperation with the aforementioned; computer software for use with input, display, evaluation, storage, retrieval, or transfer of data obtained or processed with one or more of the aforementioned computers; electronic field bus systems for analog data consisting of senders, receivers, converters and controllers, all sold as a unit, and used for transmission of and control of data from or to devices used for performing alignment tasks, industrial electronic bus systems consisting of senders, receivers, converters, controllers, all sold as a unit, for vibration signals and data, optical, infrared, uhf, and microwave based wireless data exchanges from or to devices for performing alignment tasks on rotating and stationary machinery; laser interferometers; two- and three-dimensional measuring machines and alignment measuring devices, namely, shaft alignment and roll alignment devices, used to perform dimensional and angular measurements; coordinate measuring machines and calipers used to determine length and longitudinal dimensions; calibrating devices, namely, accelerometer calibrating devices and shaft alignment sensor calibrating devices, form, contour and roundness measuring instruments of the contacting and the noncontacting type for computer software to calculate and visualize results in metrological and statistical applications; testing subsystems comprised of light emitting devices, light sensing devices or targets, gyroscopic devices, and electronic calculators for measuring dimensions, angular or translational offsets of pulleys, sheaves, belts, chains and ropes relative to a reference line or plane; computer hardware and software for performing measurements and calculations to align turbine stators, barrels, pipes, bores, hollow cylindrical objects, tubular holes, ducts and the like, and for detecting misalignment or deviating centerlines of such objects; codeable apparatus, namely, mechanical or electronic identification tags, electronic read only memories or read/write memories for monitoring operating conditions of machines; vibration monitors for use in potentially explosive areas; apparatus, namely, non-destructive testing (NDT) equipment for eddy current inspection and testing of tubes, wires and bars; laser-powered shaft alignment units and shaft alignment computers and parts therefore