Recent content by Kudaros

Thinking about this further, I realized I initialized with [\theta x z]=[1 1 1] just to avoid the NaN issue that rises when using the proper initialization of [0 0 0]. The set of equations is parametrized with respect to the arc length. At s=0 ,x=z=\theta=0. To avoid this NaN issue, I...

Hello, I'm currently modeling the profile of a droplet (sessile drop, axisymmetric) in matlab. I've coded differential equations, applied the solver, and I get a reasonable result, except that it spirals continuously. The ODE's in question are: \frac{dx}{ds}=cos(\theta)...

I went through bouts of 'demotivation' off and on for the last three years, until about 2 months ago where it was pure unbridled...apathy. Saw a counselor and he referred me to psychiatry. Ended up being prescribed wellbutrin. It was like a switch that allowed me to think clearly and focus on my...

I am having a difficult time finding a way to efficiently plot something that varies over time. I have written a program that outputs three lists of numbers like: time space value x y z . . . I want to be able to input those lists and plot 'space' and 'value' against each other in...

the sequential definition of continuity says that f(Xn)->f(0) ( in this case ) so f(Yn) = f(a) + f(Xn) -> f(a) + f(0) Since Xn = Yn - a and we have that f(Xn)= f(Yn) - f(a) -> f(a) - f(a) = 0 (this seems reasonable given the way Xn is defined) Then f(Yn) -> f(a) which fits the...

My professor dropped a hint (I think) and asked how I would do it if I used sequences. So I begin like this: Let a be in the domain and the sequence Xn ->0. ( since we know that the function is continuous at 0) Now I can write something that looks at least similar to the problem posed...

I have edited in an adjustment to the problem statement. Does this work now? So far I can't quite prove this either. I'll edit this post a little later with my attempt ( i have class in 5 minutes)

Thanks, now I understand that definition/concept. Incidentally, I also understand the contractive sequence concept now.

Homework Statement Define the Sequence an= n1/2 where n is a natural number. Show that |an+1-an| -> 0 but an is not a cauchy sequence Homework Equations The Attempt at a Solution (Ignore this paragraph)Well, unfortunately I am stuck on the very first part. How exactly do I evaluate the...

Ok I've got it.My line charge was indeed wrong. Basically, I chose my vector to be simple. The position with respect to the source was Z*Z(hat) and I ended up integrating from Z0 to Z0+L with 1/Z2 as the integrand ( lambda is constant, was pulled out.) Some quick simplification results in...

Homework Statement We have a source charge that is a uniform sphere with a radius a (centered at origin) and uniform charge density, \rho. There is a line charge with a length L that begins at Z0 and ends at Z0 + L (lies on the Z axis). This line charge has a uniform charge density of...

Just rotating a vector does nothing to its length, so does that mean lambda is one? If eigenvalues reflected direction, that would not even matter here would it?

Multiple integrals, usually taught in a third calculus course. Typically comes with a few conversion ideas, like polar coordinates in this example. Each integral and its limits correspond to a variable being integrated.

If we are simply rotating the space around the line as described, then the transformation affects its ('its' being the corresponding eigenvector on the line) length by lambda, if at all. So let x be a vector on this line, and A be the standard matrix for this transformation. Lambda*x is the...

I undertook a heavier load than usual this semester myself. Usually I go by the tried and true 4 math/physics classes and maybe a lab. This semester I added a couple of more classes and a lab and 1 of those extra is a liberal arts class. Its been a while since I've had non-science/math classes...