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Everything posted by John

  1. Hi, I'm also John, and I'm not new at all, though I haven't really been active very much in the course of my ~10-year membership. I could have sworn I'd posted in this thread already, but the search results indicate I haven't. I'm a mathematics student just starting in my studies, and I enjoy learning about pretty much everything, though my levels of interest in various subjects rise and fall, with only a few maintaining a consistently high level (those being indicated in my profile---along with everything else I've posted here so far, but, no matter). In my spare time, I like to read, look around, breathe, sleep, wake up, and make conversations awkward by interrupting discussions of things like professional sports with mention of things like probability theory.
  2. Thank you, imatfaal. I didn't know about that. You'll arrive at the same answer using either method, so use whichever one works best for you. Good luck. Edit: I'm assuming imatfaal will provide a setup for Euclid's method, but using Heron's formula, I'll set this up (also because I'm learning LaTeX and this'll be good practice): Here is your triangle, drawn with the variables next to the sides I associated them with: [math]\setlength{\unitlength}{1.5mm} \begin{picture}(30,30) \thicklines \put(2,3){\line(2,5){4}} \put(2,3){\line(10,0){20.75}} \put(6,13){\line(5,-3){16.75}} \put(6,13){\line(2,-3){6.6}} \thinlines \put(6,3){\line(0,1){10}} \put(6,4){\line(1,0){1}} \put(7,3){\line(0,1){1}} \put(0,0.5){\footnotesize A} \put(12,0.5){\footnotesize B} \put(23,0.5){\footnotesize C} \put(5,14){\footnotesize D} \put(14,9){\tiny c=17} \put(11,6.5){\tiny b=10} \put(6,1.5){\tiny 9} \put(16,1.5){\tiny a=9} \put(6.5,6.5){\tiny h} \end{picture}[/math] Heron's formula states that the area of a triangle is equal to [math]\sqrt{s(s-a)(s-b)(s-c)}[/math] where [math]s = \frac{a+b+c}{2}[/math] Hopefully that's not giving too much away.
  3. Hm, alright. Well, as it turns out, a median of a triangle divides the triangle's area in half. This means the areas of triangles ABD and BCD are equal. You know the lengths of all three sides of triangle BCD, which means you can plug them into Heron's formula (linked above) to determine the area of BCD. I just don't know if your teacher will like this method, since you haven't learned about the formula yet.
  4. Alright, well, think about the properties of triangle medians. What do they tell us about the relationship between triangles ABD and BCD in this case? Also, since it's for a geometry class, I'm assuming we don't want to invoke trigonometry.
  5. Almost. Your last two trips violate the rule about the thief being with a family member without the policeman. Edit: Actually, you're right, except on the last trip F shouldn't be with T, as F is already across the river. I think you made a typo and meant T+P.
  6. The image isn't showing in this thread, but going by the image in your other thread, it appears you were also given the lengths of several sides (namely of lines AB, BC, BD, and CD). Have you learned about Heron's formula and the properties of triangle medians? What have you tried so far?
  7. Er, I'm not sure what you're asking. Are you saying you just want y set equal to some base raised to a power including x, such that that sequence is produced?
  8. You might also consider getting a copy of Daniel Velleman's How to Prove It. I'm afraid I haven't yet read it myself, but I've heard it's quite a good read, and the Amazon reviews, if they mean anything, seem generally good. Proof-writing was something I struggled with somewhat when I was first introduced to it in high school geometry, but I've found them easier to deal with in college. I suppose it's just a matter of finding an explanation of the process that's compatible with the way your mind works, and as has been mentioned, practice is essential. Seeing an elegant proof, and especially constructing one yourself, can be a very satisfying experience, even if it's just an exercise that involves proving something trivial. Good luck, and have fun.
  9. So if I'm in a box in a house on a planet in a galaxy in the universe, am I not in the universe? Because that would be awesome. Also, is the box in the house then, or is it in a collection of atmospheric particles in the house? Am I really in the box, or am I in a collection of atmospheric particles in the box? Do the facts that I'm presumably touching the bottom of the box, and the box is presumably touching the floor of the house, change the answers to those questions? Do arbitrarily small layers of said atmospheric particles count as further barriers to "in-ness" between objects? Am I tired? The answer to that one is "yes." Furthermore, because I'm still feeling ramblish, if the box is in the house, then given a set H containing everything in the house, and given a set B containing everything in the box, it seems obvious that B is a subset of H. Therefore, every element of B is also an element of H. Solvitur ambulando! Or something.
  10. It seems to me that if human beings were naturally immortal, then we would be mentally and emotionally tuned to endure immortality. However, if tomorrow we all suddenly became immortal, well, things could get hairy. The idea brings to mind a few different works of fiction. The first is Tolkien's The Silmarillion. Death is described as a gift to men, and is incomprehensible to the immortal elves (from whose perspective the book is written). I think this is mostly discussed/referenced in the story "Akallabêth". Persumably, then, it's also a gift to the various other mortal races, and avoiding death leads to problems, as referenced in at least the film (and perhaps the book--haven't read it in years) The Fellowship of the Ring, in which Bilbo Baggins, his life having been extended by his possession of the One Ring, reports feeling "thin, sort of stretched, like butter scraped over too much bread." I wonder if this would happen in reality. I know that the elderly have often told me they're ready to pass on, though that's usually in the context of increasing frailty and illness, rather than simply because they feel they've lived too long. Then there's Roger Williams' novella, The Metamorphosis of Prime Intellect, the premise of which is that an artificially intelligent computer has discovered how to manipulate and control reality itself. As it's been programmed to follow the Three Laws of Robotics, it makes sure all human beings remain alive indefinitely, living in their own constructed paradises. The story follows a woman who was on the verge of death when this technological singularity occurred, and dislikes the results. Lastly, and more trivially, there's Wowbagger the Inifinitely Prolonged in Douglas Adams' The Hitchhiker's Guide to the Galaxy series. In contrast to naturally immortal creatures, he became immortal due to an accident, and doesn't cope well. To keep himself busy, he decides to insult every sentient creature in the universe. For myself, having thought about life and death for quite some time, I think I'd love to be immortal. There would be time to learn anything, do anything, be anything, within the realm of human potential. Even if it were just me, and I lost loved ones, well, I've discovered I can live with that sort of loss, though of course it's very painful. Regardless of what problems arise, so long as there's life, there's hope. Immortality would be wonderful.
  11. A man said, "You're mad." I said, "Mad?" He said, "Yes." I said, "Who?" He said, "You." I said, "Me?" He said, "Yes." I said, "Oh..."

    1. Genecks


      Who did you think he was talking to?

    2. John


      It's a tongue-twister my dad taught me when I was very young. I guess it's a British thing. In any case, he could say it extremely quickly. I think the slur inherent to my southern American accent hinders my efforts somewhat. :P

  12. One man can only do so much.

  13. I'd still say check into the content of the BSOD first.
  14. John

    The Human Cull

    While there may be precedent in cases like passengers on boats and the like, you'd likely be hard-pressed to find any authority willing to endorse the destruction of over five billion people. I would argue it'd also take a sociopath to set such a measure in motion. But then maybe some sort of command hierarchy could be set up to create a sort of sick modified Milgram experiment. I don't know, it still seems it'd be unnecessary in the first place. Just let nature take its course. I'll have to see if I can get PhDwannabe to comment on this.
  15. If you hit Win key + Pause Break to go into your System settings, there is an option somewhere to automatically restart on system failure. Uncheck that box, and you should be able to see what the blue screen is saying. In Win7 it's under Advanced System Settings -> Startup and Recovery. Not sure about Vista and XP.
  16. John

    The Human Cull

    Ringer is right. I don't think you'd ever get a significant portion of the population to agree to such a plan. The ethics are a bit fuzzy as the virus would kill off people indiscriminately, though if somehow the virus were tailored to kill a certain 5/6 of the population, then it'd seem a bit more unethical. If humanity expands beyond the ability of the environment to adapt, then humanity will start dying off through some natural means, so using a virus to randomly kill a majority of the population seems unnecessary.
  17. Life's good.

    1. Bob_for_short





      if you know Russian.

  18. John

    School is Near

    Well, mine's nothing special, as I lower myself back into academia by degrees. I have British literature on TR, fine arts on MWF, and that's about it. I suppose I'll emerge slightly more cultured, at least. My semester actually started today, also.
  19. Baby, why you always gotta make me hit you?
  20. Then remove the emphasized portion. Point stands.
  21. John

    It's time to update your profile, Mr. Medical Student.

  22. http://www.youtube.com/watch?v=p5mWQFGF7w8 Just saying.
  23. A person who is bad. Taking a moral relativist point of view, it means entirely different things for different people. From the perspective of a conservative, a homosexual is a bad person. From the perspective of many people, a glutton is also a bad person. My wording was an attempt to understand exactly what the OP was getting at. "Defying the laws of nature," or whatever, doesn't automatically make someone bad. Being absolutely normal doesn't automatically make someone good. I don't know. It looks like OP's abandoned his post anyway, so the discussion is, more or less, moot.
  24. I stand by the point I made in IRC. 1. It's considered poor form to post a new thread about something that's been discussed before. "Do a search" or a simple link as a reply. 2. It's considered poor form to post in an old thread, even if you have something to contribute to the old discussion. So, wut do? Granted there are exceptions (thread necromancy in the name of a meaningless "Me too!" is silly), but the fact remains, these mentalities seem to be in conflict. But since I'm also steeped in this tradition, I'll support the motion as well. Because self-contradiction is excellent.
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