The relative velocity between the two reference frames has magnitude v and you have to ( vectorially ) add ( subtract ) that velocity to a particle's velocity to go back and ( forth ) between the two reference frames.
12.
For a given ( externally generated ) gravitational field, the "'tidal acceleration "'at a point with respect to a body is obtained by vectorially subtracting the gravitational acceleration at the center of the body ( due to the given externally generated field ) from the gravitational acceleration ( due to the same field ) at the given point.
13.
A system of mensuration employing 60-degree vectorial coordination comprehensive to both physics and chemistry, and to both arithmetic and geometry, in rational whole numbers . . . Synergetics explains much that has not been previously illuminated . . . Synergetics follows the cosmic logic of the structural mathematics strategies of nature, which employ the paired sets of the six angular degrees of freedom, frequencies, and vectorially economical actions and their multi-alternative, equi-economical action options . . . Synergetics discloses the excruciating awkwardness characterizing present-day mathematical treatment of the interrelationships of the independent scientific disciplines as originally occasioned by their mutual and separate lacks of awareness of the existence of a comprehensive, rational, coordinating system inherent in nature.
