Originally Posted by

**romsek** Think of the position of a satellite or a baseball or anything moving through space.

At any given point in time t0 it has 3 spatial coordinates {x, y, z}

These change as the thing moves. It will be at {x0, y0, z0} at t0, and {x1, y1, z1} at t1, etc.

You can treat this as a vector of 3 spatial components, that is further indexed by a time component.

Now just make your space n dimensional rather than 3. Sure a baseball doesn't move through n dimensional space but you know what I mean.

You can index these n dimensional spatial vectors by time just as you did with the 3 dimensional ones.

These spatial vectors don't have to be "space" space either. The can be the configuration space of some huge dynamical system.

They are just vectors that change with time and you are capturing snapshots of them at times t0, t1, t2.. tk, etc.