Recent content by STAii

  1. STAii

    Discovering an Unexpected Relationship Between 13 Real Numbers

    Yes, you are right. It seems i misunderstood it the first time. Thank you.
  2. STAii

    Discovering an Unexpected Relationship Between 13 Real Numbers

    I don't quite understand your reply (excuse my bad english). Is it possible or not to apply the theory on the numbers i put in my last post, if not, is the problem that my numbers didn't match the conditions of the 13 values stated in the original theory, or is it that the theory contains a...
  3. STAii

    Discovering an Unexpected Relationship Between 13 Real Numbers

    Ummh ... i think i have found a little small problem in this "theory". You see, suyver said that the 13 numbers x1,x2 ... x13 should be 13 different numbers (when he said xi<>xj if i<>j). But, the 13 different values of x will not give you 13 different values of A. Take this example, here are...
  4. STAii

    Discovering an Unexpected Relationship Between 13 Real Numbers

    Is this proovable (can anyone provide a proof please ?) ? Yesterday i was trying to proove this whole 'theory', and i was stuck here, couldn't proove it (Althought it seems logical). I used a somehow different way (but mathematically almost the same) to reach this point, but i think NateTG's...
  5. STAii

    Discovering an Unexpected Relationship Between 13 Real Numbers

    Shouldn't that be tan (A - B) = \frac{tan A -tan B}{1+ tan A tan B} (i am sure it is a typo)
  6. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    Well, the function after the sum does not necessarily have to be a function of k (the variable that the sum is changing). Examples include : &sum;(from k=1 to 3)1 which equals : 1+1+1=3 Or even, suppose that in your example, f(k) was a constant function, what will you have ? (well, you will...
  7. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    Well, i thought that if it was a joke, it should belong to "General discussion", not "Calculus" Ok, about the sum. Note that the variable of the sum (k) is not related to the variable inside the sum (x). So, in the case that you took x=4.5 Entering this value into the floor function, [...
  8. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    If you still insist on finding that derivative using the definition of the derivative, i think this can help. For ease of reading, let [sum] mean : [sum](from k=1 to [ x ]) S(x) = [sum](x) S'(x) = lim(h->0) ( (S(x+h)-S(h))/h ) S'(x) = lim(h->0) ( ([sum](x+h) - [sum](x))/h ) S'(x) =...
  9. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    First, yes, they are functions. Second, they are actually continuous for every value of x that is not an integer, this is why when i took the derivative i said that x is not an integer, cause otherwise neither of those two functions will be continuous (but their sum will still be continuous)...
  10. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    No offense, but did you bother reading my post ? What i did is that i showed where the fallacy is in your proof, and actually corrected it, then i showed that after this correction was made, there is no problems anymore (iow, 2=2), which shows that there are no other fallacies in your original...
  11. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    Can you please explain ?
  12. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    Lol, not a lot of fever (Actually today i am better :P). I went thru all of that to proove that ur proof is wrong :).
  13. STAii

    Weird Idea: Global Communication Without EM Waves

    I guess the topic's subject tells that there is nothing wrong with sattelites :P As i said, the idea is bad from the first place, but i thought that i would put it here to hear comments, and learn sth new :). Thanks for your replies zare, wimms.
  14. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    Ok, i think i have solved it (i am totally sick now, so i might be writting nonesense). The main problem is that (1+1+1+1 .. (x times) .. +1+1) is meaningless if x is not a positive integer (iow : x=1,2,3,4,5,6...) And since it has no meaning for values around the positive integers, it is not...
  15. STAii

    What is the Proof that 2 Equals 1 Using Infinite Series?

    Yes, this one is extremely interesting. Normally, it is easy to figure out where the error is from the first look. But this one is harder (i liked it). I think the problem starts here, we have to make sure if it is actually valid to take the derivative of both sides. If it was me writing...
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