Recent content by memomath

  1. M

    Conjugate of every variable is denoted

    [SIZE="3"]Hi I got this question from private message therefore I posted it if anyone feel it is homework do not answer on it because I don't know if it homework or not even it is as simple as this
  2. M

    Conjugate of every variable is denoted

    Hi I have received PM so I would like to post this question for scientific debate here conjugate of every variable is denoted by _. 1.define f_:R3->R3 by f_(x_)=y_, where y1=x1+(x2)2+(x3-1)2, y2=(x1)2+x2+((x3)2-3.x3), y3=(x1)3+(x2)2+x3.prove that f_ is locally invertible about x_=(0,0,1)...
  3. M

    SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space)

    the questions below for scientific debate 1.how to understand SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space) 2.Let M be a compact manifold ,T compact lie group,what can we say about M^T(the set of fixed points of M under the action of T),is M^T manifold? how to argue?further,if T is torus,and M is...
  4. M

    Are you interesting about average value if so trying here.

    Thanks for reply but it is not correct hint and I think you don’t proceed with the right way for the real problem you probably fix some thing else many things missing from the real posted thank you
  5. M

    The idea about Pythagoras stairs?

    some wrongs here in the question YES I AGREE WITH YOU there are mistake in the question
  6. M

    The idea about Pythagoras stairs?

    Hi again Hello everybody I have looked everywhere for some good guides, so the question is: You probably know the Fibonacci sequence (1,1,2,3,5,8…) but there is a lesser-known sequence called (Pythagoras stairs) generated by a similar recursion formula. This is a sequence of pairs...
  7. M

    Are you interesting about average value if so trying here.

    Hello here the same question in the enclosed What is the average value? average value for (exp \alphaZ ) = \int\int exp\alphaZ ds / \int\int ds Over the sphere S: X^2+Y^2+Z^2=a^2 Also by use the parameterization X= a sinϴ cos ɸ Y= a sinϴ sin ɸ Z= a cos ϴ And the usual...
  8. M

    The idea about Pythagoras stairs?

    Dear HallsofIvy Thanks for your reply, in fact I already wrote the problem in webpage and at the same time wrote in the word file so there two options
  9. M

    The idea about Pythagoras stairs?

    No comments or solution until now!
  10. M

    Are you interesting about average value if so trying here.

    No comments or solution until now!
  11. M

    Are you interesting about average value if so trying here.

    Hello here you have the same question in the enclosed What is the average value? average value for (exp \alphaZ ) = \int\int exp\alphaZ ds / \int\int ds Over the sphere S: X^2+Y^2+Z^2=a^2 Also by use the parameterization X= a sinϴ cos ɸ Y= a sinϴ sin ɸ Z= a cos ϴ...
  12. M

    The idea about Pythagoras stairs?

    Hi again Hello everybody I have looked everywhere for some good guides, so the question is: You probably know the Fibonacci sequence (1,1,2,3,5,8…) but there is a lesser-known sequence called (Pythagoras stairs) generated by a similar recursion formula. This is a sequence of pairs...
  13. M

    The idea about Pythagoras stairs?

    Hello everybody I have looked everywhere for some good guides, so the question is: You probably know the Fibonacci sequence (1,1,2,3,5,8…) but there is a lesser-known sequence called (Pythagoras stairs) generated by a similar recursion formula. This is a sequence of pairs (Xn,Yn)...
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