http://mypeoplepc.com/members/jon8338/math/id18.html
This goes to show that a point described by two different coordinate systems
is still the same point. When that point becomes a surface undergoing
motions into an EVENT, then that EVENT described by two different coordinate
systems is still the same event.
Why make the distinction?
Apparently the obvious needs to be proven.
The goat swallowed the shirt, the shirt was offended and turned the goat
inside-out so the goat was wearing the shirt, as a shirt was intended.
But consider TWO DIFFERENT EVENTS described by ONE coordinate system. Then
associated with every motion of one event is a motion of the second event,
WHETHER BY CAUSE AND EFFECT OR NOT. The equations describing this
relationship (and there are many of them), formulate and precipitate
synchronous PROBABILITIES; that is,
The drunk abused his wife with mental anguish. She died of cirrhosis of the
liver and he died of a brain tumor. They SWAPPED illnesses they SHOULD have
gotten. In this case they INVERTED their illnesses.