Results 1 to 4 of 4

Math Help - how can I describe this using math

  1. #1
    Member
    Joined
    Oct 2011
    Posts
    170
    Thanks
    3

    how can I describe this using math

    I want to describe using math notation. I have a sphere with circumference c and density d and as the circumference approaches 0, the density approaches \infty

    Edit - I think I mean circumference.

    On a little side note, assuming planck length is accurate would it mean that the smallest possible sphere that still obeys the laws of physics be:

    Diameter of 5.077\times10^{-35} (planck length)
    Circumference of 1.594986590227538\times10^{-34}
    Area of 2.0244367296463024\times10^{-69}

    Is this correct?
    Last edited by uperkurk; July 16th 2013 at 06:08 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,845
    Thanks
    320
    Awards
    1

    Re: how can I describe this using math

    Quote Originally Posted by uperkurk View Post
    I want to describe using math notation. I have a sphere with circumference c and density d and as the circumference approaches 0, the density approaches \infty

    Edit - I think I mean circumference.

    On a little side note, assuming planck length is accurate would it mean that the smallest possible sphere that still obeys the laws of physics be:

    Diameter of 5.077\times10^{-35} (planck length)
    Circumference of 1.594986590227538\times10^{-34}
    Area of 2.0244367296463024\times10^{-69}

    Is this correct?
    I would use radius or diameter instead of circumference, and the Plank scales (as I recall) define a black hole, but really there is no real physical significance to therm.

    For your sphere I guess you could say \lim_{r \to 0} \rho \to \infty. It's the most valid expression I can come up with based on your description.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2011
    Posts
    170
    Thanks
    3

    Re: how can I describe this using math

    Quote Originally Posted by topsquark View Post
    I would use radius or diameter instead of circumference, and the Plank scales (as I recall) define a black hole, but really there is no real physical significance to therm.

    For your sphere I guess you could say \lim_{r \to 0} \rho \to \infty. It's the most valid expression I can come up with based on your description.

    -Dan
    Thanks, what is the lim thing? As the limit of r goes to 0, the limit of p goes to infinity?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,845
    Thanks
    320
    Awards
    1

    Re: how can I describe this using math

    Quote Originally Posted by uperkurk View Post
    Thanks, what is the lim thing? As the limit of r goes to 0, the limit of p goes to infinity?
    Yup.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Describe the locus of z
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 24th 2012, 11:31 AM
  2. Describe A + B
    Posted in the Advanced Algebra Forum
    Replies: 11
    Last Post: October 18th 2011, 08:38 AM
  3. Describe the locus
    Posted in the Pre-Calculus Forum
    Replies: 12
    Last Post: August 12th 2009, 08:17 PM
  4. Describe the Difference
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: July 28th 2008, 09:15 PM
  5. describe S
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 15th 2007, 06:09 PM

Search Tags


/mathhelpforum @mathhelpforum