Hello,
I am working on an integral-equation problem in the field of electromagnetics, which gives me a very large linear system that needs to be solved. I use a fairly recent method for this, namely the fast multipole method, which allows me to calculate a matrix-vector product in a fast way...
I'm a bit confused about a statement in my course on relativity. I have a system S' that is moving with a direction v (in the x'-direction) compared to the system S, so the following transformation formula holds:
t = gamma*(t'+vx'/c^2)
The textbook now goes on to say (translated from dutch...
Yes, I'd figured that out, more or less. I wonder, however, if I could add extra equations to solve the problem. If my intuition is right and all the supporting points are equal, then it sounds logical that everytime you would repeat the experiment, they would exert the same reaction force and...
I'm trying to refresh my mechanics by solving some fairly simple, self invented, beam problems. This goes fine, but I can't figure out how to solve the following one.. it sounds simple enough, though..
Imagine a (two dimensional) beam of size d with a vertical outside distributed constant...
You could also get the second derivative and evaluate it in the critical points (where the first derivative is zero). If the second derivative is negative you have a maximum, if it's positive you have a minimim and if it's zero you have (what i directly translate from dutch, because I don't know...
I've been using Maple for subjects like calculus and algebra and it has proven to be quite reliable and versatile. I also use MATLAB extensively, but solely for numerical purposes.. if it's analytical solutions you want (and I expect you do), I'd go for Maple. Never worked with Mathematica or...
I'm working on a project that involves 'acoustic radiation pressure'.. This means that an acoustic wave can exert a net force on some object, along it's propagation-direction.. if the object was a plate, it would look somewhat like this:
...... |
----||--wave--> |->Force...