2006-07-30 11:35:10 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Um, actually, the Lorentz transformation is a linear transformation from one coordinate system to another. The coefficients of the transformation depend nonlinearly on the relative velocity.
I think you are after examples of nonlinear processes: wherein the change in output depends "nonlinearly," that is, with an exponent other than one, upon the change in input.
There are many such systems--in fact, all real systems are nonlinear, and linearity is only a simplifying approximation.
Nonlinear effects in more-or-less "linear" systems become apparent when the outputs get large. As, for example, when speakers distort at high volume.
2006-07-30 12:17:58 · answer #1 · answered by Benjamin N 4 · 0⤊ 0⤋
Navier-Stokes equations, describing fluid dynamics, viscosity etc.
They are horribly messy to solve, cannot be integrated, requiring complex computational fluid dynamics (CDF) methods that call for huge computers running for long period of time. Why do we put up with them? We have no choice; they describe the motion of gases inside engines, air around aircraft and cars, and so on.
2006-07-30 19:27:20 · answer #2 · answered by Vincent G 7 · 0⤊ 0⤋
Lorentz tranaforms...lots of talk on here about light speed travel, etc. these give the rate at which mass increases with speed, time slows down with speed, and distance shortens with speed. they are non-linear.
2006-07-30 18:54:55 · answer #3 · answered by Anonymous · 0⤊ 0⤋
kinematic equations
2006-07-31 02:33:38 · answer #4 · answered by DoctaB01 2 · 0⤊ 0⤋