Search results

  1. M

    Medical Thinking purely in words, how this works

    Very interesting points. I sometimes wonder about that, too. Who am I? In other words, which part of me is the self and which part is external? Obviously, everything going on inside my brain comes from me, but it often seems that there is some part of the brain that is more central to my...
  2. M

    Medical Thinking purely in words, how this works

    I know this is an old thread, and this is only a tangential topic, but it's been something I've always wondered about: For those of us who think mostly in words, and have conversations with ourselves, do you refer to yourself as "you" in your thoughts? When I am thinking through an issue...
  3. M

    On differential equations texts

    Thanks. I didn't know about that site, I might actually use it. Does anyone know anything about the differences between the different editions? I have used books (Calculus -Larson, for example) where there are absolutely no changes from one edition to the next other than nicer graphics. Even...
  4. M

    On differential equations texts

    I have a feeling this is the wrong place to post this. I can never figure out where to put things :confused: Anyway, my professor uses the 4th edition of Edwards and Penney Differential Equations and Boundary Value Problems (https://www.amazon.com/gp/product/0131561073/?tag=pfamazon01-20)...
  5. M

    Help us with our experiment

    Redbelly: when I first heard the experiment, I immediately thought I should choose zero. Then, like you, I realized that if even one person doesn't think like me, and chooses another number, my results are off. Like you, until I did some research, I never imagined it would be so high. Note that...
  6. M

    Characteristics of the Mind

    I second drankin. Anyway, what is the mind? It's just a word people throw around, so I'm not sure how to characterize it.
  7. M

    Help us with our experiment

    Okay, the experiment is over. I thank everyone who participated, you all helped. I ended it about a week ago, but then finals caught up with me, and I didn't have a chance to follow up. So here it is: The official results...
  8. M

    Linear Algebra Proof, Hermitian Matrices

    I didn't check all your work, but my initial reaction: all four matrices have to be complex matrices, that's the initial condition. If they're not complex, the conjugate transpose is the same as the transpose, and they're just simple symmetric matrices. Am I wrong?
  9. M

    Linear Algebra Proof, Hermitian Matrices

    I just realized something: If AB=(AB)*=B*A*=BA, then AB commutes. But that is only true if A, B, and AB are all Hermitian. Alternatively, we can say that if A, B are both Hermitian and AB commutes, then AB=BA=B*A*=(AB)*, so we know that AB is Hermitian. That's why the property I cited from...
  10. M

    Linear Algebra Proof, Hermitian Matrices

    Sorry about forgetting the brackets. I fixed that. Okay, (XY)*=Y*X*. So we can rewrite as AD-(CB)*=I. But how does that help? My main problem is that we don't know that any of the individual matrices A, B, C, D are Hermitian. If we could prove that, we're done. B*C* is the same as BC...
  11. M

    Linear Algebra Proof, Hermitian Matrices

    Homework Statement Let A, B, C, D be nxn complex matrices such that AB and CD are Hermitian, i.e., (AB)*=AB and (CD)*=CD. Show that AD-B*C*=I implies that DA-BC=I The symbol * indicates the conjugate transpose of a matrix, i.e., M* is the conjugate transpose of M. I refers to the identity...
  12. M

    Help us with our experiment

    Point well taken. You're correct on both counts. I meant fractions that cannot be expressed as integers between 0 and 100.:approve: And I guess if you're around the area between zero and one, then precision starts to matter.
  13. M

    I'm finally coming out of the closet, atheism I mean.

    That's a beautiful quote from Carl Sagan. I enjoyed it, and I think it's a powerful thought. That said, I'm not sure what it has to do with winning or losing the cosmic lottery. I'm not trying to say that we should all be depressed, or think that life is terrible because it could be so much...
  14. M

    Help us with our experiment

    Interesting thought. Oh well, there's no prize. Other than the ability to pat yourself on the back and convince yourself you're a genius. Then, since you're so darn good at anticipating the behavior of others, become a day trader on the stock markets, or trade currency options, or something...
  15. M

    I'm finally coming out of the closet, atheism I mean.

    OP: whatever you decide, don't bother with quoting bararantok to your parents. It's a complete waste of time. Do NOT try to convince your parents that you are right. The only thing that'll cause is more of a confrontation. You'll be a threat to them. Besides, it's a complete waste of time to...
  16. M

    Help us with our experiment

    Fractions are legitimate. But it strikes me as remarkable that people are that confident in their choices that they need such precision. I think most people think about whether it'll be in the range of, say, 15, or in the area of 35. Not whether it'll be 15 or 15.375. If there some kind...
  17. M

    Help us with our experiment

    Yes, but there may be a self-selecting group of people that announce their answers. I'm not sure they're representative of the rest of us.:rofl: I also assumed that we were supposed to choose an integer between 0 and 100, inclusive. Turns out I didn't specify it in the instructions, so I...
  18. M

    I'm finally coming out of the closet, atheism I mean.

    I didn't read the entire thread, so I apologize if I'm repeating something, or whatever. That said... The OP's situation is not simple. I'd say to shut up, and live a lie for a few years. Is that pleasant? No, it's sucks. But it's probably better than the alternative. Religious people can be...
  19. M

    Help us with our experiment

    Thanks to all those who've replied so far. We appreciate it.
  20. M

    Help us with our experiment

    I imagine that you are correct, no human being is either completely rational or completely irrational. I'm not even sure how to define rationality objectively, I'm influenced by my own sense of rationality. (I've never hear anyone admit that they were irrational.) That said, I imagine some...
  21. M

    Medical Thinking purely in words, how this works

    I notice that when I'm tired, lying in bed and listening to music, I find that my thoughts become more visual and less linguistic. As I fade into sleep, I sometimes find myself thinking very clear thoughts without words, although most of the things I think throughout the day is with words. If I...
  22. M

    A Math Puzzle Who can solve it first?

    What I find comedic about this post is this: To almost every person who responded, this question was analyzed as if it appeared in a textbook- a math problem. So we get the reals, the complex solutions, etc. But to the OP, this was a puzzle, almost a joke. The idea is that you're supposed...
  23. M

    Which sci fi book to read first?(Also, what do you think of 1984, by Orwell)

    What do you mean? In 1984 (the year), there were already lots of similarities between the Communists in the Soviet Union and 1984 (the book). Not completely, but lots of the totalitarian government stuff, big brother is watching you has already happened (and blown over) in some places in the...
  24. M

    Help us with our experiment

    I have no problem with people discussing strategy here. I figure that however people choose their answers, there will be a variety of ideas, and I'd like to hear discussion. Let's see how things turn out. I just request that the actual numbers remain private. I'll start: I was the first...
  25. M

    Help us with our experiment

    I expect most people will use pseudonyms. That's what I'd do, too. In any case, thanks for submitting your number. We'll probably run it for about two weeks, then tally the results and see how things come out.
  26. M

    Help us with our experiment

    I apologize if I'm posting this in wrong place. I am the President of my college's math club, TCMC (www.touromathclub.org[/URL]). We are running an experiment called 2/3 the average, but the results only become meaningful once there are many submissions. So we need your help. Filling...
  27. M

    Tall people are happier, better educated

    There are three kinds of lies: lies, damn lies, and statistics. Causation, correlation, who knows? there are so many factors involved, the metrics are messy. I'm skeptical of pretty much everything. It's possible, but I'm not gonna waste time thinking about it.
  28. M

    Your educated help, please?

    Interesting point, but how can a six year old understand that? She needs something tangible.
  29. M

    Your educated help, please?

    I vote for the sandbox or the see-saw (perhaps both). I think if she sees those explanations, she might be satisfied. As she gets older, she'll gain a deeper understanding of it. I'm not an expert in early childhood or anything, but my guess is that accounting (negative balance) or negative...
  30. M

    Introduction to 'Real' Math (i.e. number theory etc,)

    Thanks for the thread, guys. I was wondering something similar, and I think I may have my answer- I have been looking for a while for an introduction to rigorous mathematical thought, and what higher math is really like, for someone with just a high school/ some calculus background to get a...
Top