I managed to get Gradshteyn and Ryzhik today. The book is really useful.
Now that we have got the formula...
\begin{split} \int x X_p(\alpha x) Z_p(\beta x) & = \frac{x}{\alpha^2-\beta^2} \left( \alpha X_{p+1}(\alpha x) Z_p(\beta x) -\beta X_{p}(\alpha x) Z_{p+1}(\beta x) \right) \\...
Thanks alot!
I can now solve the problem. But there is still one more thing left. Is it safe to assume that above integral will be equal to zero in case
\int x X_p(\alpha x) Z_q(\beta x) = ?
\\
when p\not = q
As per orthogonality condition this equation is valid:
\int_0^b xJ_0(\lambda_nx)J_0(\lambda_mx)dx = 0 for m\not=n
I want to know the outcome of the following:
\int_0^b xJ_0(\lambda_nx)Y_0(\lambda_mx)dx = 0
for two cases:
m\not=n
m=n
Before I integrate, I should have same index for J, i.e. \alpha should be there in both J's. Only that way I can apply orthogonality condition.
Please help.
Homework Statement
I have applied separation of variables to a transient radial heat equation problem.
T is a function of r and t.
I have reached the following step:
Homework Equations
T_2(t,r) = \sum_{m=1}^ \infty c_m...
I am not sure but chrome spray is more expensive then using aluminium sheets. I don't know very well how much a new mold would cost. Can you please tell me how much would it cost if I try to make the model as mentioned in my article by using chrome spray and plastic molded parabolic dish.
May...
How about visiting my blog. http://hubpages.com/hub/solar-reflector
I have presented a dirt cheap way of making a solar concentrator.
Its really easy to build. I have tried it myself. It took me approx. 15 minutes to boil water.
With good cheap heliostatic controls it can work wonders.
to Tachyon
Hey Tach, that may be a very easy and simple and uninteresting thing for you but its a cool fact. Isn't it ;)
Ali
People do visit my blog: http://hubpages.com/hub/The-energy-responsible-for-our-existence---BINDING-ENERGY
That's what we are talking about!
Thanks for the response. I have just presented my teacher's idea who is a PhD in Nuclear Physics. I am not trying to belittle you or anyone else. You may as well be a PhD in Physics.
I just liked the idea and presented in the form of article.
Hi
My teacher told me that its because of binding energy that we and everything around us exist. I have presented this viewpoint in my blog: http://hubpages.com/hub/The-energy-responsible-for-our-existence---BINDING-ENERGY"
Please visit it and give comments.
If you find mistakes please...