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experimentX

  • 3 years ago

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

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  1. sauravshakya
    • 3 years ago
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    Did u mean to prove pi is a irrational number?

  2. experimentX
    • 3 years ago
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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

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

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

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

  6. experimentX
    • 3 years ago
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    In that case i'll change my question then.

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

  9. experimentX
    • 3 years ago
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    Nope ... that does not prove pi is irrational.

  10. experimentX
    • 3 years ago
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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.

  11. experimentX
    • 3 years ago
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    but i does prove something really really nice ..

  12. sauravshakya
    • 3 years ago
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    and what is that?

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

  14. experimentX
    • 3 years ago
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    a very nice geometrical interpretation ..

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

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

  17. 86camaro
    • 3 years ago
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    i love pie but not pi

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

  19. 86camaro
    • 3 years ago
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    i dont know i have herd of that though

  20. 86camaro
    • 3 years ago
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    i like pie lol

  21. jrod326
    • 3 years ago
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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

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

  23. jrod326
    • 3 years ago
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    i memorized the first 100 digits

  24. jrod326
    • 3 years ago
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    there is a whole lot more for me to memorize

  25. experimentX
    • 3 years ago
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    wow!!

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

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

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

  29. jrod326
    • 3 years ago
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    brb

  30. mathslover
    • 3 years ago
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    Well it can be proved by contradiction.

  31. experimentX
    • 3 years ago
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    give it a try ...

  32. mathslover
    • 3 years ago
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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!

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

  34. mathslover
    • 3 years ago
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    Welll @experimentX that's a tough question!

  35. experimentX
    • 3 years ago
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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

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

  37. mathslover
    • 3 years ago
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    Oh .. It is the same that of Niven proof.

  38. experimentX
    • 3 years ago
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    a slight modification ...

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