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Freeman

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Posts posted by Freeman

  1. I was discussing with my dad and brother about graphing calculatros when my bro suggested that parts are so cheap that I might as well just build a calculator. Well, I have been thinking about this but does anyone have any suggestions or experience in this field?

  2. Thanks for all the help everyone, its great stuff.

     

    I know this sounds stupid, but what do you mean by "graph out" ?
    Given a rank two tensor, and -say- cartesian coordinates, how would one go about to put the matrix on the coordinates?
  3. Thanks...I have a few questions.

     

    Is there any real difference between covariant and contravariant tensors other than they are using different scripts?

     

    I know this one is stupid, but can you graph out a rank 2 (or any other higher ranked) tensor? How?

     

    Are tensors just extensions of the Jacobian?

  4. OK, after reading books on linear algebra, and vector calculus, I have come to tensor transformations. Huzzah!

     

    However, I do not have any book to study from(!) so I am rather "sol". I do understand that covariant tensors have subscript lettering and contravariant tensors have superscipt lettering. How do I transform a given vector in covariant and contravariant tensor transformations?

     

    I googled it and there were a number terrible websites. Any help would be great!

  5. Well, isn't the critical density 10^-36 kg (or about that)? Plug this in for the equations involving the mass of the universe divided by its size (supposing its a sphere) that Einstein gave us (with the cosm constant). We can therefore deduce that the universe will expan to be about 9.5*10^22 km in its radius. Huzzah!

     

    But you can't travel there, spacetime will conform itself. Remember, nothing is outside the universe! Its like a fish trying to swim out of a bag but the bag distorts itself to allow the fish to continue swimming.

  6. Hello, I want to solve Einstein's field equation but I need a little help. First I don't quite understand or appreciate the Ricci tensor, or the concept of tensors at all. I have learned vector calculus, on the one hand, but that really doesn't help (on the other hand). Any help would be greatly appreciated!

  7. Does anyone know a good book for lay people on tensor calculus? I have tried reading a grad book on it and it was focused primarily on the algebra of tensors...rather disappointing really.

     

    Or, on the other hand, does anyone know tensor analysis? I have tried googling it several times.

  8. I need to find the equation describing ripple mechanics in three dimensions for a question along the lines of "If Jon throws a rock weighing 100 kilograms into a lake, what would the ripple effects be?" I have googled it several times with many different parameters but I couldn't find anything, so I came here...

  9. I have a quick question about the curvature of space-time equation, well two questions.

     

    1. What is "k" on the right hand side of the equation (the equation I am referring to is the curvature tensor equals eight pi multiplied by "k" multiplied by the stress energy tensor).

     

    2. What is the stress energy tensor?

     

    I know the second question is really an uber-simpleton one, but it's been on my mind for a while now...

  10. I need some economic data! So anyone's help is greatly appreciated! What I need is the stats for the England, France, Germany, Japan, and America. But if you could find it for China, Spain, Portugual, Argentina, Venezuela, Russia, and Mexico that would help a lot! What I need is:

    • Output of Coal
    • Output of pig iron
    • Output of steel
    • Output of corn and grains.
    • Output of textiles.
    • The length of rail ways and freeways
    • The number of bank accounts(for each nation) and the sum of money deposited

    I need it for the past 20-30 years. Thanks for any and all help!

  11. OK, so I have several questions...

     

    First, a differential is a tangent to the curve and the integral is the area between the curve, X axis, and differentials...right?

     

    Second, if I have [math]y=mX^n + b[/math] it would be: [math]y=(mn)X^{n-1}[/math] for a differential, right? And [math]y=(m/n)X^{n+1} + b[/math] for an integral...right?! :confused:

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