Alon Shmiel
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 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 comment Bernoulli integral (conservation of energy) I updated my topic :) 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! Nov 28 comment Given a set $A$ such that for any family of sets $F$: if $\cup F = A$ then $A \in F$. I know why but i dont know how to explain it.. the answer is: A doesn't belong to F because of the definition of F.. Nov 28 comment Given a set $A$ such that for any family of sets $F$: if $\cup F = A$ then $A \in F$. can you give me an exaple of A and F? I think I dont really know what is F.. thank you! Nov 28 comment Given a set $A$ such that for any family of sets $F$: if $\cup F = A$ then $A \in F$. @DonAntonio, you are right. I translated the word to english and use a group instead of a set. Nov 25 comment Prove that if $|a_n-a_{n-1}| < \frac{1}{2^{n+1} }$ and $a_0=\frac12$, then $\{a_n\}$ converges to \$0