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experimentX

Happy \( \huge \pi \) day!! prove \( \pi \) is irrational:

  • one year ago
  • one year ago

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  1. sauravshakya
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    Did u mean to prove pi is a irrational number?

    • one year ago
  2. experimentX
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    Here is a simple way to prove that \( \pi \) is irrational using simple techniques of integral calculus. Who want's to try it on the occasion of \( \pi \) day

    • one year ago
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  3. jrod326
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    and i can evan type it in binary code

    • one year ago
  4. experimentX
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    try to prove it's irrationality. not difficult if you follow the instructions given above image.

    • one year ago
  5. jrod326
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    im not good at irrationality i was trying to change the subject

    • one year ago
  6. experimentX
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    In that case i'll change my question then.

    • one year ago
  7. sauravshakya
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    • one year ago
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  8. sauravshakya
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    Now, if we can Prove lim n-->infinity sin(180/n) is irrational

    • one year ago
  9. experimentX
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    Nope ... that does not prove pi is irrational.

    • one year ago
  10. experimentX
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    it's the fundamental misunderstanding between limit and value of function. If you find limit of a function, it does not necessarily say that the function has that value.

    • one year ago
  11. experimentX
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    but i does prove something really really nice ..

    • one year ago
  12. sauravshakya
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    and what is that?

    • one year ago
  13. experimentX
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    sin(x)/x = 1 as x-> 0

    • one year ago
  14. experimentX
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    a very nice geometrical interpretation ..

    • one year ago
  15. Hope_nicole
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    Pi is irrational because it never ends or repeats, right?

    • one year ago
  16. experimentX
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    it never ends ... <-- not just it it never repeats (with above) <-- yes

    • one year ago
  17. 86camaro
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    i love pie but not pi

    • one year ago
  18. experimentX
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    there was a Yahoo!! kid ... who loved Pie. I wonder where did he go???

    • one year ago
  19. 86camaro
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    i dont know i have herd of that though

    • one year ago
  20. 86camaro
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    i like pie lol

    • one year ago
  21. jrod326
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    pie is good and pi is 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 5920 78164 06286 20899 86280 34825 34211 70679

    • one year ago
  22. experimentX
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    how do you know so many numbers? don't tell me you've memorized all digits of pi

    • one year ago
  23. jrod326
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    i memorized the first 100 digits

    • one year ago
  24. jrod326
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    there is a whole lot more for me to memorize

    • one year ago
  25. experimentX
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    wow!!

    • one year ago
  26. experimentX
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    when it comes to memory, I am heavy as bag of hammers on a sea.

    • one year ago
  27. jrod326
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    same i just repeated it alot and it stuck in my brain

    • one year ago
  28. experimentX
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    i wish i could do that ... not pi but whole 100 theorems.

    • one year ago
  29. jrod326
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    brb

    • one year ago
  30. mathslover
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    Well it can be proved by contradiction.

    • one year ago
  31. experimentX
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    give it a try ...

    • one year ago
  32. mathslover
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    That can be found here : http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational I can not type the whole here.. It is too long!

    • one year ago
  33. experimentX
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    do you understand any one of those?

    • one year ago
  34. mathslover
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    Welll @experimentX that's a tough question!

    • one year ago
  35. experimentX
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    yes the proof of irrationality of pi is not simple. I found particularly this one understandable http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Niven.27s_proof

    • one year ago
  36. mathslover
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    What about this ? https://pantherfile.uwm.edu/sboyd/www/m675s08/irrational_pi.pdf

    • one year ago
  37. mathslover
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    Oh .. It is the same that of Niven proof.

    • one year ago
  38. experimentX
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    a slight modification ...

    • one year ago
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