Time Machine, Anyone? Posted by Andor Bariska on Mar 7 2008 under Matlab | Academia / Research Abstract: Dispersive linear systems with negative group delay have caused much confusion in the past.
Some claim that they violate causality, others that they are the cause of superluminal tunneling. Weierstrass functions. Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere".
Here is an example of one: It is not hard to show that this series converges for all x. In fact, it is absolutely convergent. It is also an example of a fourier series, a very important and fun type of series. It can be shown that the function is continuous everywhere, yet is differentiable at no values of x. Mysteries of Math. Mysteries of Math: Unsolved Problems & Unexplained Patterns Article by Steph, filed under Conceptual & Futuristic in the Technology category.
Math isn’t just mysterious because the majority of us find it so difficult to understand – it’s also the basis of the universe, giving us clues to physical phenomena like the motion of gases in the atmosphere and the way that physical particles interact with each other amid all the possible variables in three-dimensional space.