Recent content by itisali
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Orthogonality condition for disimilar Bessel functions
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) \\...- itisali
- Post #5
- Forum: Calculus and Beyond Homework Help
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Orthogonality condition for disimilar Bessel functions
Thanks a lot! 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- itisali
- Post #3
- Forum: Calculus and Beyond Homework Help
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Application of orthogonality condition
So, basically, what I am trying to do is the following problem: https://www.physicsforums.com/showthread.php?t=706768- itisali
- Post #7
- Forum: Calculus and Beyond Homework Help
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Orthogonality condition for disimilar Bessel functions
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- itisali
- Thread
- Bessel Bessel functions Condition Functions Orthogonality
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Application of orthogonality condition
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.- itisali
- Post #5
- Forum: Calculus and Beyond Homework Help
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Application of orthogonality condition
@fzero: This doesn't work because if I put \alpha = 0 then result would become infinity.- itisali
- Post #3
- Forum: Calculus and Beyond Homework Help
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Application of orthogonality condition
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...- itisali
- Thread
- Application Condition Orthogonality
- Replies: 6
- Forum: Calculus and Beyond Homework Help
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Solar concentrated power generation (~5kW)
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...- itisali
- Post #4
- Forum: General Engineering
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Solar concentrated power generation (~5kW)
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.- itisali
- Post #2
- Forum: General Engineering
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High School Binding Energy makes life possible. Do you agree?
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!- itisali
- Post #11
- Forum: Other Physics Topics
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High School Binding Energy makes life possible. Do you agree?
to Tach Ok Tach. You tell me if it hadn't been for the binding energy what would have kept atoms from tearing apart?- itisali
- Post #9
- Forum: Other Physics Topics
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High School Binding Energy makes life possible. Do you agree?
to dst: I am talking about the most fundamental "if they weren't there"- itisali
- Post #7
- Forum: Other Physics Topics
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High School Binding Energy makes life possible. Do you agree?
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.- itisali
- Post #3
- Forum: Other Physics Topics
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High School Binding Energy makes life possible. Do you agree?
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...- itisali
- Thread
- Binding energy Energy Life
- Replies: 13
- Forum: Other Physics Topics