If I have a totally ordered set and then create a noncrossing partition of that set it seems intuitively obvious that each block of the partition would be totally ordered as well. Can I assume this inheritance or do I need to prove each block is totally ordered? How would one go about proving...
This is kind of a vague question but does anybody know if there is a more general relationship between the area and perimeter of plane figures. For example circles, squares, rectangles triangles any regular polygon really, the area can be written in terms of the perimeter. Is there anything...
Kaisxuans - I had no plan to jump into the dificult Zeta Function but it's one of the few things related to my problem that I can search for. Other than that I don't know what to look for.
Dodo - Thanks for the link. This first part about wether Zeta(3) is a rational multiple of pi^3 is...
I'm interested in the problem:
\sum_{n=1}^{ \infty} \frac{1}{n^3}
and would like to know more about what attempts have been made at it and any insights into it but I am unable to find much because I don't know the name of this series or if it even has one.
I have learned what little...
Any statics problem should begin with a free body diagram. Once that is done the solution usually comes easily. If you have done one you can post it for comments.
I haven't had any luck with mathcad and was wondering if this was possible to integrate...
\int_{0}^{2\pi} \frac {x+r*cos(\theta)}{(x^2+2r*x*cos(\theta)+r^2)^\frac {3}{2}} d\theta
The following equation was derived from a RLC circuit:
\frac{d^2}{dt^2} (V(t)) + 6 \frac{d}{dt} (V(t)) + 5V(t) = 40
Setting up the equation:
s^2 +6s + 5 = 0
yields s = -1 and s = -5
Giving me the general equation:
V(t) = k_{1}e^{-t} + k_{2}e^{-5t}
But the general equation...