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Thread: The Maths Thread

  1. #151
    International 12th Man Quaggas's Avatar
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    Quote Originally Posted by silentstriker View Post
    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.
    Yes, yes.... was thinking of the Hubble "constant," tbf

    BTW, 137 is a fundamental constant because it's the hospital room Pauli died in.....

  2. #152
    Global Moderator Spark's Avatar
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    Quote Originally Posted by silentstriker View Post
    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.
    that's true, but the point remains that they're rather arbitrary. the concept is more important than the fact they are constants, in a mathematical sense.

    and i see you're no particle physicist "****, i couldn't be bothered dealing with all these annoying constants, let's just make life easy and make them all 1"
    Last edited by Spark; 07-09-2010 at 11:45 PM.
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  3. #153
    International 12th Man blahblahblah's Avatar
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    Suppose X is a metric space. A real valued function f defined on a metric space X is said to be of first baire class, if f is a pointwise, limit of a sequence of continuous functions on X.

    A famous well know theorem asserts that if f is in the first baire class, then the set of points of discontinuity is of the first category.

    Using this definition, can we characterize for what Metric Spaces, will the points of continuity of a real valued function, be dense in itself.

  4. #154
    The Wheel is Forever silentstriker's Avatar
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    Sounds like a homework assignment. Are you sure you're phrasing that right?
    Quote Originally Posted by KungFu_Kallis View Post
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    "The future light cone of the next Indian fast bowler is exactly the same as the past light cone of the previous one"
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  5. #155
    The Wheel is Forever silentstriker's Avatar
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    They're talking about the lebesgue differentiation theorem & baire category theorem if memory serves me correctly?
    Last edited by silentstriker; 16-09-2010 at 12:36 AM.

  6. #156
    International 12th Man blahblahblah's Avatar
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    Quote Originally Posted by silentstriker View Post
    Sounds like a homework assignment. Are you sure you're phrasing that right?
    well its not my question , happened to stumble upon it while i was brosing some math questions

    couldnt solve this one so put it up here hoping some one would solve it

    and ya as far as i can see it , its been phrased correctly .

  7. #157
    The Wheel is Forever silentstriker's Avatar
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    Well where f is continuous, it must also be dense. Are you looking to prove that?

  8. #158
    International 12th Man blahblahblah's Avatar
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    Quote Originally Posted by silentstriker View Post
    Well where f is continuous, it must also be dense. Are you looking to prove that?

    i am asking for which metric spaces the condition u have stated above will hold true

  9. #159
    vcs
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    Is there any way to calculate the total number of possible Sudoku grids?

  10. #160
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    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.

  11. #161
    International 12th Man blahblahblah's Avatar
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    2 brain teasers i found interesting

    1)

    Okay, so a hunter gets out of his cabin on morning and gets into his jet powered surface cruiser. He travels 4000 miles south; turns eastward and travels 4000 miles and finally turns north and cruises for 4000 miles, at the end of which he is back outside his cabin. Now he sees a bear standing outside his kitchen window and eyeing the pie he had left to cool.

    What is the color of the bear ?

    Give complete solution, with reasoning !

  12. #162
    International 12th Man blahblahblah's Avatar
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    2)

    A Hungarian community of married mathematicians has the following tradition: should any man determine that his wife cheated on him, he shall hang himself at noon. The townsfolk being rather introverted, there is little gossip except when there is an affair. In such case everyone in the town hears about the infidelity by nightfall excepting, of course, the cheating couple's spouses. So if a man were to hear gossip but were not told of any affiar, he would determine, being the logical mathematician that he is, that his own wife was involved, and would thus hang himself at noon the next day.

    On one particularly steamy summer day, nine women break their vows with other men. What is the result?

  13. #163
    vcs
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    Quote Originally Posted by blahblahblah View Post
    2 brain teasers i found interesting

    1)

    Okay, so a hunter gets out of his cabin on morning and gets into his jet powered surface cruiser. He travels 4000 miles south; turns eastward and travels 4000 miles and finally turns north and cruises for 4000 miles, at the end of which he is back outside his cabin. Now he sees a bear standing outside his kitchen window and eyeing the pie he had left to cool.

    What is the color of the bear ?

    Give complete solution, with reasoning !
    LOL, that's an old one. North Pole, polar bear.

  14. #164
    The Wheel is Forever silentstriker's Avatar
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    Quote Originally Posted by blahblahblah View Post
    2)

    A Hungarian community of married mathematicians has the following tradition: should any man determine that his wife cheated on him, he shall hang himself at noon. The townsfolk being rather introverted, there is little gossip except when there is an affair. In such case everyone in the town hears about the infidelity by nightfall excepting, of course, the cheating couple's spouses. So if a man were to hear gossip but were not told of any affiar, he would determine, being the logical mathematician that he is, that his own wife was involved, and would thus hang himself at noon the next day.

    On one particularly steamy summer day, nine women break their vows with other men. What is the result?
    All nine would hang...

  15. #165
    International 12th Man blahblahblah's Avatar
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    Quote Originally Posted by silentstriker View Post
    All nine would hang...

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