?What is the mathematical equivalent of motion pictures?

Question

Example
numbers unto themselves=mathematics
numbers in time=music theory
numbers in physical space=geometry
numbers in time/space= astronomy
We can say that at least in part a movie equals numbers in time because a film is measured in lengths of time but but what about the CONTENT of a movie? What is its mathematical equivalent? Numbers in physical space? That ='s geometry. numbers in time/space? thats astronomy. Any ideas ?

Answer 1

A movie is a series of still pictures approximating continuous motion. A similar mathematical trick is piecewise-linear approximation of a nonlinear function. You can approximate the parabola y=x^2 by plotting y at x=-3, -2, -1, 0, 1, 2, 3, etc. and connecting the points. This idea can be expanded to stepwise integration, which is the method used to solve the state of (i.e., simulate the behavior of) a complex dynamic system. At simulated time step n, take a picture of the system state, compute the derivatives and then advance the state to time step n+1 by means of difference equations. Repeat. When you're done you have the system movie.

Answer 2

When you look at a motion picture, you're not seeing something move at all. You're seeing individual frames flashed quickly enough that the appearance of motion takes place on a screen.

My guess is motion pictures would be equivalent to discrete plane geometry. (I just made that up.) Plane geometry because the image you see is on a plane, obviously, and discrete because the individual images keep it from being truly continuous.

Answer 3

movies are made up of frames of video.. or still pictures if on film...

so.. lets say your movie plays at about 30 frames per second (a cheap home movie of someone riding a bicycle)... so the time difference between frames is 1/30 seconds.

now.. in each 1/30 second... the picture in the frame changes... and it is a complex motion with some things moving one way and some things moving another way....bicycle moving forward but the pedals moving in circular motion (relative to the rest of the bike)

if you plot the various points of the rider's body in the film.. from frame to frame to study the motions of those points... say x and y for the point on the picture.. and z for each 1/30 second... you get complex mathematical curves... and perhaps a study in efficiency of motion.

Answer 4

Interesting ideas, tehre.
I'd say time and physical space. The pictures involved are really just complex geometry, if you ask me, a la cubism, in reverse.

Answer 5

Both Maple and Mathematics have graphics that show functions in time. It is a moving picture of the function.

Answer 6

images per perceptual ability quotient

Answer 7

differential equations