Recent content by okunyg

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    Is Adding 1 to the Product of Consecutive Numbers a Square?

    This is what you (I) get from barely knowing anything of math, I guess. Maybe I should read before coming up with crackpot ideas. :P I understand it now though, so thanks.
  2. O

    Is Adding 1 to the Product of Consecutive Numbers a Square?

    I came across something from the higher classes of math and I tried to prove it: What do you call this kind of reasoning. Can it be called a proof? Or is this kind of like a pseudo-proof? I've never seen any proofs actually. Is my reasoning correct or is it too ugly to look at? [The...
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    Which is more difficult: pure or applied mathematics?

    So you're saying: with enough time and commitment, most people are able to learn pure math at university-level?
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    Which is more difficult: pure or applied mathematics?

    Since pure math is said to be very hard, I thought only the most prominent students were able to learn it.
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    Which is more difficult: pure or applied mathematics?

    Well, let's put it this way: will an average high school student be able to understand pure math?
  6. O

    Which is more difficult: pure or applied mathematics?

    I think it's really fascinating, but will I as an average student (maybe even worse) even achieve the slightest success in studies of pure math?
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    Which is more difficult: pure or applied mathematics?

    How would you compare applied and pure mathematics? Is one more difficult than the other? What is the general difference? What do you think is the most interesting field of those two? Can someone who is bad at using applied math, be more capable of pure math and vice versa? ("Theoretical"...
  8. O

    Finding the Range & Domain of y = 24 - 2x

    Thanks. But apparently the correct answer is: 6 < x < 12 and 0 < y < 12 Is the key (answer) in the back of the book misprinted perhaps?
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    Finding the Range & Domain of y = 24 - 2x

    I'm sorry for this, but what is the range and domain of the following function? y = 24 - 2x y has to be positive (y > 0) and x too (x > 0) How would you solve this? Do you just need a look and then be able to write it down? Or do you need to solve it with algebra? I've found that x can only...
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    To what depth can you learn math?

    What do people mean when they say learn math in depth, and not just memorizing formulae? How is "mathematics in depth" defined? I want to make sure I learn "in depth", so I try to play around with the rules of math, for example multiplication with exponents: How come a^m*a^n = a^m+n...
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    What happens when we replace x with x+1 in a quadratic function?

    I really, really need to brush up on my algebra. 50x+50 + 0.2x^2 + 0.4x + 0.2 I believe the correct answer was 50.2 + 0.4x. I can't look in my book since a friend borrowed it. 50.4x+50.2 + 0.2x^2 is my answer I'm not able to solve it. Could you do me a favor and help me out a little? I'm...
  12. O

    What happens when we replace x with x+1 in a quadratic function?

    Well, sure. But could you tell me if I was at least thinking correctly?
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    What happens when we replace x with x+1 in a quadratic function?

    Too bad I've forgot how to do this though. I'll paste the problem: f(x) = 16000 + 50x + 0.2x^2 What happens if x = x+1 (increase by one)? I believe it's something like this: 50(x + 1) + 0.2(x+1)^2 -> 50x + 50 + 0.2(x^2 + 2x1 + 1^2) -> 50x + 50 + 0.2x^2 + 0.2x + 0.2 -> (I'm not...
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    How would you proove a^-n = 1/a^n?

    I'm sorry, could you elaborate a little? Do I assume? Do you assume? What does that equation have to do with this? You might notice that I'm a beginner. Edit: Oh, I believe I know what you mean: I did not proove anything, I just wrote something obvious that someone else has figured out...
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    How would you proove a^-n = 1/a^n?

    I can't find many proofs of how the equation in the thread title is correct. How would you proove the equation? I tried to make one, but I don't know if it's worth mentioning. What do you think about my "proof"? a^-n = a^0-n = (a^0)/(a^n) = 1/a^n
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