Equations of motion when masses move according to Newton's law of gravity. In general relativity, rotational motion is described by the relativistic angular momentum tensor, including the spin tensor, which enter the equations of motion under covariant derivatives with respect to proper time. The Mathisson–Papapetrou–Dixon equations describe the motion of spinning objects moving in a gravitational field. Unlike the equations of motion for describing particle mechanics, which are systems of coupled ordinary differential equations, the analogous equations governing the dynamics of waves and fields are always partial differential equations, since the waves or fields are functions of space and time. For a particular
Three Laws of Robotics philosophy has been, ‘sure, people make mistakes, but robots will be better – a perfect version of ourselves.’ We wanted to write three new laws to get people thinking about the human-robot relationship in more realistic, grounded ways." In October 2013, Alan Winfield suggested at an EUCog meeting a revised 5 laws that had been published, with commentary, by the EPSRC/AHRC working group in 2010.: Asimov himself believed that his Three Laws became the basis for a new view of robots which moved beyond the "Frankenstein complex". His view that robots are more than mechanical monsters eventually spread throughout science