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*puffy* japanisthebest

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Posts posted by *puffy* japanisthebest

  1. Oh boy, now you are talkin. I love this thread. why is the suns heat signature in reverse? How is it still holding onto the planets if its consuming itself? Why does the solar wind accelorate? Id like to know/ thanks for your responses :rolleyes:

    i do not know...but i have to go... bells going to ring soon!

  2. There may be some quick videos of a few things, but really what it's going to come down to is hard work. If you want to do the same you need to give up a lot more of your free time to actually studying these things and taking higher level classes. Even if you know how to differentiate and find the slope of points, those things aren't going to help in real life you unless you know a lot algebra and are very good at simplifying things.

    yep

  3. Not unless the 12 year old is VERY exceptional (think Gauss or Terry Tao).

     

    It is much more important that younger people get a very solid foundation in geometry, algebra and trigonometry than to get into calculus too quickly. In fact there is a great deal to be said for waiting until one is in a university to study calculus.

     

    Calculus is qualitatively different from high school mathematics. Despite the way that it is often taught in high schools, the objective of calculus is far more sophisticated than the usual "find the solution". Unfortunately calculus at lower levels often becomes just a game of symbol-pushing and finding the number. This misses the real point of the subject, which is to understand what derivatives and integrals really are and how to use the concepts. Calculating specific derivatives and integrals is only secondary. The point of derivatives is not "find the slope" and the point of integrals is only in part "find the area". Moreover the important theorems in calculus -- Rolle's Theorem for instance -- are dependent on properties of the real numbers that are somewhat abstract and usually poorly treated in an ordinary calculus class.

     

    People's thought processes with respect to mathematics actually do change and mature. To learn calculus properly it is a great benefit to have reached an age at which one's thought processes are aligned with a subject like calculus. Age twelve is a bit early, though it depends very strongly on the individual.

     

    IF you have a twelve-year-old who already has completely mastered algebra, geometry and trigonometry, and IF you have a twelve-year-old who has a deep interest in mathematics and a strong drive to pursue that interest, and IF that twelve-year-old is exceptionally mature in an intellectual sense then it might be appropriate to study calculus under the guidance of someone who has a deep knowledge of mathematics. But if those exceptional conditions are not met, then I suggest that the student concentrate on mastering algebra, geometry and trigonometry completely. It will be time well spent.

    i know a 12 year old that has mastered algebra,geometry...and about halfway through trig.

  4. well here is how it goes... someone above you posts a riddle... you try to solve it... then you post a riddle for the person below you to solve! oh... and put the difficulty in parentheses [] and when you solve...try to explain how you came up with the answer

     

     

    [easy]

    if a tree falls with nothing around the sound vicinity to hear it... does it make sound

  5. I know that calculating Pi requires more complex mathematical operations, as we go farther away from the decimal point,

     

    I'd ask .. is it true that [math]\pi = \frac{22}{7}[/math]

     

    I mean, is it only true for number of digits after the decimal point .. or is it the exact answer ?

    [math]\pi = \frac{22}{7}[/math] is probably only true for a little bit.. i think.. :confused:
  6. You are correct. But this is actually an every day effect. Say you leave your home and drive to work or school in the morning and return home that evening. Per special relativity, because of your motion in your car, time has run a tiny bit slower for you than time in your home. So you return home a tiny bit into the future. We don't notice this effect because it is so miniscule, but it is real.

     

     

    Oh, and you can and do travel into the past as well as the future simply by changing altitude. Per general relativity, time runs slower as it gets closer to the Earth (gravitational time dilation). So say you are at home and you go upstairs to bed. All night long, time upstairs runs a tiny bit faster for you than time downstairs. So when you come down to breakfast in the morning, you are travelling into the past. Again, this is a miniscule amount so you don't notice it. But it is real.

     

     

    We are all time travellers.

    :o WOW i never thought travelling to the past was possible... but the first paragraph i knew...but thanks :):) :) :)
  7. Stephen Hawking retracted his paradoxical view that information must be lost when matter falls into a black hole. In place of this idea, his revised mathematics (validated many times by numerous workers) shows that information persists but is confined to the surface or "event horizon" of the black hole. "Hawking radiation" may then be emitted by such a black hole and the information becomes available again. The singularity that is predicted by general relativity (GR) results from extrapolation of GR to the logical extreme. But, it is still logical. The logic cannot be tickered with without destroying the whole ediface. The trouble with singularities is only that one cannot do anything more with them, mathematically. They are a dead end. One can still say that matter therein must be compressed to infinite density, though. But, what does this mean?

     

    If matter is compressed to infinite density, the gravitational field associated with its very existence becomes infinite as well. By GR, this means that as mass falls into a black hole, time itself must slow down whereupon its pace declines toward zero. The only weird thing about black holes is this effect. But, the very same thing is seen when temperature is reduced to near absolute zero when a perfect crystal is studied in the laboratory. One can only extrapolate along a straight line leading toward "zero" degrees Kelvin. One can never reach zero in the lab. The connection to black holes is direct.

     

    What this really means is that matter inside all black holes is still crashing down toward the "center of gravity" but it will never actually get there, not even after 14.72 bilion years. But, the center itself exists as the center of gravity as long as an event horizon can be defined. As such, it possesses a gravitational field that has a very unique profile of potential versus radius.

     

    The event horizon surface of a black hole is associated with a certain entropy linked to its surface area. It is also linked to a certain temperature which assures that information is still present and that Hawking radiation may be emitted therefrom. Such radiation may take hundreds of billions of years to significantly affect the mass that is retained in the black hole, however. But, this is just a detail.

     

    Search "Stephen Hawking entropy black hole". There is a class of thermodynamics called "black hole thermodynamics". Hawking and Beckenstein used quantum mechanics and statistical thermodynamics to define SBH, the total entropy of a black hole.

     

    So, the singular nature of a black hole is not just conjecture. It is fact, by general relativity. In order to dispute it, one must also dispute GR.

     

    This has huge implications to the hypothesis of "Dark Matter" and hypothetical "Dark Energy". See the thread "MOND, Prelude to Critique of the Universe" and the thread "Critique of the Universe" under Astronomy and Cosmology.

    ...my friends at school are reading this and i just simplified it for them... when stuff falls in a black hole... it never reaches the bottom...eh... i didn't really do details..
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