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Apr
17
comment Explanation for the next steps of chaplygin dipole
@JuanSimões, I'm sorry, I tried to understand it and I didn't succeed. I'm trying to find another material that is related to the link you posted. thank you from the deep of my heart! you help me a lot!!
Apr
17
comment Explanation for the next steps of chaplygin dipole
@JuanSimões, ok, I will read about that. and you answered about that: "I think v is the two first elements of (2.2) [thanks to your link]. am I right?" thank you very much!! you don't know how much you help me to understand it!
Apr
17
comment Explanation for the next steps of chaplygin dipole
@JuanSimões, wow, the first step is by definition! thanks! (2.3) is a choice (thank you again), and I guess (2.4) is also, right? so (2.5) is a derivative of which v (once by r and once by theta)? I think v is the two first elements of (2.2) [thanks to your link]. am I right?
Apr
17
comment Explanation for the next steps of chaplygin dipole
@JuanSimões, thank you.. to be honest I didn't understand the step between (1.2) to (2.2). and why he chose the function of Psi and this Omega in (2.3)? thank you very much!
Apr
17
revised Explanation for the next steps of chaplygin dipole
added 91 characters in body
Apr
17
asked Explanation for the next steps of chaplygin dipole
Apr
1
asked Sum of $\sum_{n=0}^\infty \frac{(x+2)^{n+2}}{3^n} $
Mar
4
accepted proof of limits in math: if $a_n^3\to a^3$, then $a_n\to a$.
Mar
4
accepted Prove that if $ |a_n-a_{n-1}| < \frac{1}{2^{n+1} }$ and $a_0=\frac12$, then $\{a_n\}$ converges to $0<a<1$
Feb
17
accepted Limit $\lim_{x\to\infty}\left(\frac{\ln x}x\right)^{1/x}$
Feb
17
asked Limit $\lim_{x\to\infty}\left(\frac{\ln x}x\right)^{1/x}$
Feb
15
awarded  Benefactor
Feb
15
accepted Bernoulli integral (conservation of energy)
Feb
15
comment Bernoulli integral (conservation of energy)
ok, so my last question: does first solution contain the full solution? thank you for all your comments.
Feb
15
comment Bernoulli integral (conservation of energy)
thank you Tom! I didn't try to prove that.. what's about what I wrote in the topic, under the title: First solution ?
Feb
15
revised Bernoulli integral (conservation of energy)
added 4 characters in body
Feb
15
comment Bernoulli integral (conservation of energy)
I updated my topic :)
Feb
15
revised Bernoulli integral (conservation of energy)
added 406 characters in body
Feb
14
awarded  Commentator
Feb
14
comment Bernoulli integral (conservation of energy)
thank you very much Tom! I think I will show them the both solutions, so I have one proof (of you). about the second proof: do you have a link with a solution of rewriting Euler equations to form (2.13)? and then the second solution will be the rewriting Euler equations to form (2.13) and after that I will write (2.14)-(2.19). BTW, what's about (2.1)-(2.12)? I don't need this? about your question, The lecturer wants me to lecture about this topic.. so I will have to learn the both solutions (I will learn it by myself when I get them).. thank you very very much!