Page 10 of 43 FirstFirst ... 8910111220 ... LastLast
Results 136 to 150 of 645

Thread: The Maths Thread

  1. #136
    International Coach PhoenixFire's Avatar
    Curveball Champion!
    Join Date
    Sep 2006
    Location
    Bitch please, I'm from West Yorkshire
    Posts
    14,988
    Quote Originally Posted by cover drive man View Post
    Couldn't you say that all constants are irrational?
    No. The two things are quite unrelated. Some constants like e and pi are irrational, but not all of them by any means.

    Actually that said, I can't actually think of any mathematical constants that are rational, but I'm sure there are some. I know of some physical ones however...

    Edit again, i is rational. That said, there is no absolute definition of what is and what isn't a constant, it's more a general term used to describe some numbers and not others. I'm sure an argument could be made that googol/googolplex are constants of sorts and they are both rational.
    Last edited by PhoenixFire; 07-09-2010 at 01:17 PM.
    Quote Originally Posted by Top_Cat View Post
    1) Had double pneumonia as a kid, as did my twin sis. Doctors told my parents to pray that we lived through the night. Dad said **** off, I'm an atheist, you ****s better save my kids, etc. Then prayed anyway.

  2. #137
    Cricket Web Staff Member / Global Moderator Neil Pickup's Avatar
    Join Date
    Mar 2002
    Location
    Oxford, England
    Posts
    26,782
    Quote Originally Posted by cover drive man View Post
    Couldn't you say that all constants are irrational?
    1 is a constant (the result derived when you divide something by itself)
    MSN Messenger: minardineil2000 at hotmail dot com | AAAS Chairman
    CricketWeb Black | CricketWeb XI Captain
    ClarkeWatch: We're Watching Rikki - Are You?

    Up The Grecians - Exeter City FC

    Completing the Square: My Cricket Web Blog

  3. #138
    Cricket Web: All-Time Legend Uppercut's Avatar
    Tournaments Won: 1
    Join Date
    Jul 2008
    Location
    Norn Iron
    Posts
    23,066
    Quote Originally Posted by PhoenixFire View Post
    Edit again, i is rational.
    No you're not.
    Quote Originally Posted by zaremba View Post
    The Filth have comfortably the better bowling. But the Gash have the batting. Might be quite good to watch.

  4. #139
    Global Moderator Spark's Avatar
    Join Date
    Feb 2010
    Location
    A Blood Rainbow
    Posts
    31,324
    Remember though, that physical constants - aren't. They depend completely on your choice of units which is completely arbitrary. (w/ the exception of alpha and its friends)
    Last edited by Spark; 07-09-2010 at 05:50 PM.
    + time's fickle card game ~ with you and i +


    get ready for a broken ****in' arm


  5. #140
    International 12th Man Quaggas's Avatar
    Join Date
    Jun 2009
    Location
    USA
    Posts
    1,669
    Quote Originally Posted by PhoenixFire View Post
    No. The two things are quite unrelated. Some constants like e and pi are irrational, but not all of them by any means.

    Actually that said, I can't actually think of any mathematical constants that are rational, but I'm sure there are some. I know of some physical ones however...

    Edit again, i is rational. That said, there is no absolute definition of what is and what isn't a constant, it's more a general term used to describe some numbers and not others. I'm sure an argument could be made that googol/googolplex are constants of sorts and they are both rational.
    Am I missing something? i \neq n/m, for any n,m integer, assuming you mean i \equiv \sqrt(-1).

  6. #141
    Global Moderator Spark's Avatar
    Join Date
    Feb 2010
    Location
    A Blood Rainbow
    Posts
    31,324
    i ain't rational, as the rationals are a subset of the reals.

  7. #142
    International Vice-Captain Redbacks's Avatar
    Join Date
    Mar 2008
    Location
    NT
    Posts
    4,141
    Quote Originally Posted by Neil Pickup View Post
    I appreciated that, even if nobody else did.
    You have made a young man happy

  8. #143
    International Vice-Captain Redbacks's Avatar
    Join Date
    Mar 2008
    Location
    NT
    Posts
    4,141
    Quote Originally Posted by cover drive man View Post
    Question:

    What's the difference between an irrational number and a constant?
    Not really an apples v apples comparison.

  9. #144
    International 12th Man Quaggas's Avatar
    Join Date
    Jun 2009
    Location
    USA
    Posts
    1,669
    Quote Originally Posted by Spark View Post
    Remember though, that physical constants - aren't. They depend completely on your choice of units which is completely arbitrary. (w/ the exception of alpha and its friends)
    The units go along with the physical constant - so changing units doesn't change the constant.

  10. #145
    Global Moderator Spark's Avatar
    Join Date
    Feb 2010
    Location
    A Blood Rainbow
    Posts
    31,324
    Quote Originally Posted by Quaggas View Post
    The units go along with the physical constant - so changing units doesn't change the constant.
    it changes the value of the constant... and the value is the only thing that matters, isn't it?

    Again, with the exception of alpha and its friends (i forget what they all are) which are dimensionless, so are completely independent of your units. alpha is always 1/137-point-something regardless if you're in SI, Gaussian, Planck, whatever.

  11. #146
    The Wheel is Forever silentstriker's Avatar
    Join Date
    Feb 2006
    Location
    USA
    Posts
    37,358
    Well, no. It's the underlying physical phenomena that matters. The speed of light is the speed of light, regardless of whether you use km or miles...

    The inherent quantity doesn't change, just the number you use to express it.
    Quote Originally Posted by KungFu_Kallis View Post
    Peter Siddle top scores in both innings....... Matthew Wade gets out twice in one ball
    "The future light cone of the next Indian fast bowler is exactly the same as the past light cone of the previous one"
    -My beliefs summarized in words much more eloquent than I could come up with

    How the Universe came from nothing

  12. #147
    International 12th Man Quaggas's Avatar
    Join Date
    Jun 2009
    Location
    USA
    Posts
    1,669
    Quote Originally Posted by Spark View Post
    it changes the value of the constant... and the value is the only thing that matters, isn't it?

    Again, with the exception of alpha and its friends (i forget what they all are) which are dimensionless, so are completely independent of your units. alpha is always 1/137-point-something regardless if you're in SI, Gaussian, Planck, whatever.
    e.g., mass of proton is 938.2...MeV/c^2 = 0.9382...GeV/c^2 = 1.67...E-27kg. The "numbers" change, the constant doesn't (those equals signs have the usual meaning).

    Of course, there is some evidence that physical "constants" change/have changed through time (I'm not advocating that the world is 4000 years old because the decay constant of C14 has changed)

    Edit Beaten to it

  13. #148
    Global Moderator Spark's Avatar
    Join Date
    Feb 2010
    Location
    A Blood Rainbow
    Posts
    31,324
    Quote Originally Posted by silentstriker View Post
    Well, no. It's the underlying physical phenomena that matters. The speed of light is the speed of light, regardless of whether you use km or miles...

    The inherent quantity doesn't change, just the number you use to express it.
    yeah but we're talking about the constants themselves here, not what they mean. so to talk about the physical constants as if they have some intractable fixed value is wrong. i mean, for any of those constants c, e, h, G, whatever, i could pick a units system such that it's 1 and dimensionless, which kind of "eliminates" the constant.

    it's just a thing we chuck in our equations to make sure they work. but they all have to be consistent with the dimensionless constants, that's the central rule.

  14. #149
    The Wheel is Forever silentstriker's Avatar
    Join Date
    Feb 2006
    Location
    USA
    Posts
    37,358
    Quote Originally Posted by Spark View Post
    yeah but we're talking about the constants themselves here, not what they mean. so to talk about the physical constants as if they have some intractable fixed value is wrong. i mean, for any of those constants c, e, h, G, whatever, i could pick a units system such that it's 1 and dimensionless, which kind of "eliminates" the constant.

    it's just a thing we chuck in our equations to make sure they work. but they all have to be consistent with the dimensionless constants, that's the central rule.
    I think we're arguing semantics here. When CDM asked and I said physical constant, I was referring to the 'meaning', rather than a specific number. Obviously (many) constants are things that we just need to fudge our equations with to make them work, and then assign probably 'meanings' to them later on, but in other cases, it is still a fundamental quantity that means something. G might be 'chucked in', but c has a much more concrete meaning.

    BTW, natural units FTL.

  15. #150
    The Wheel is Forever silentstriker's Avatar
    Join Date
    Feb 2006
    Location
    USA
    Posts
    37,358
    Quote Originally Posted by Quaggas View Post
    Of course, there is some evidence that physical "constants" change/have changed through time (I'm not advocating that the world is 4000 years old because the decay constant of C14 has changed)
    Sure you aren't. Get away from me.

    It was hilariously epic when the news came out that c may not have always been c. Millions of creationists became faux-physicists for a day and waxed poetically for weeks.

Page 10 of 43 FirstFirst ... 8910111220 ... LastLast


Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Similar Threads

  1. Tech Geeks Thread
    By SupaFreak2005 in forum Off Topic
    Replies: 233
    Last Post: 03-11-2012, 03:15 PM
  2. *Nikhil Hearing* Details Thread
    By lord_of_darkness in forum Cricket Web XI
    Replies: 329
    Last Post: 17-12-2004, 03:21 PM
  3. **Official** South Africa in India Thread
    By Neil Pickup in forum Cricket Chat
    Replies: 453
    Last Post: 08-12-2004, 07:26 AM
  4. *Official* India in Australia Thread
    By Craig in forum Cricket Chat
    Replies: 2652
    Last Post: 08-01-2004, 07:00 PM
  5. *Official* West Indies in Zimbabwe Thread
    By Mr Mxyzptlk in forum Cricket Chat
    Replies: 554
    Last Post: 01-12-2003, 03:11 AM

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •