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Understanding the most beautiful equation in Mathematics

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  • S szukuro

    Yes, but you are missing the point. The main thing to prove here is that eiπ = -1, this is the nontrivial part.

    N Offline
    N Offline
    Nicholas Marty
    wrote on last edited by
    #3

    one might also say that eiπ = cos(π) ;P

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    • S szukuro

      Yes, but you are missing the point. The main thing to prove here is that eiπ = -1, this is the nontrivial part.

      T Offline
      T Offline
      TheGreatAndPowerfulOz
      wrote on last edited by
      #4

      And the fact that eiπ = -1 seems somehow significant, almost metaphysical... :rolleyes:

      If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
      You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
      Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

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      • D DaveP62

        This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:

        Quote:

        If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0

        Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:

        Richard DeemingR Offline
        Richard DeemingR Offline
        Richard Deeming
        wrote on last edited by
        #5

        Try this one[^]: e-π/2 = ii


        "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

        "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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        • S szukuro

          Yes, but you are missing the point. The main thing to prove here is that eiπ = -1, this is the nontrivial part.

          I Offline
          I Offline
          Ingo
          wrote on last edited by
          #6

          Right! And there are some really important functions included, showing the coherences between them! :rose:

          Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.

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          • Richard DeemingR Richard Deeming

            Try this one[^]: e-π/2 = ii


            "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

            M Offline
            M Offline
            Marc Clifton
            wrote on last edited by
            #7

            Richard Deeming wrote:

            ii

            My head hurts. :doh: Marc

            Testers Wanted!
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            • Richard DeemingR Richard Deeming

              Try this one[^]: e-π/2 = ii


              "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

              D Offline
              D Offline
              DaveP62
              wrote on last edited by
              #8

              Richard Deeming wrote:

              e-π/2 = ii

              The link isn't opening but I'm guessing that this one is probably over my head too. Most likely it comes down to something like: 0 = 0 1 = 1 2 = 2 ... :laugh:

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              • M Marc Clifton

                Richard Deeming wrote:

                ii

                My head hurts. :doh: Marc

                Testers Wanted!
                Latest Article: User Authentication on Ruby on Rails - the definitive how to
                My Blog

                Richard DeemingR Offline
                Richard DeemingR Offline
                Richard Deeming
                wrote on last edited by
                #9

                Just think of it as "Isiah". :rolleyes: Because "one i's 'igher than t'other".


                "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                • Richard DeemingR Richard Deeming

                  Try this one[^]: e-π/2 = ii


                  "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                  T Offline
                  T Offline
                  TheGreatAndPowerfulOz
                  wrote on last edited by
                  #10

                  Busy site that one. "That means ii is real!"

                  If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                  You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                  Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

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                  • D DaveP62

                    This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:

                    Quote:

                    If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0

                    Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:

                    B Offline
                    B Offline
                    Bassam Abdul Baki
                    wrote on last edited by
                    #11

                    DaveP62 wrote:

                    Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0

                    Then you did not understand the beauty of it. :|

                    Web - BM - RSS - Math - LinkedIn

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                    • T TheGreatAndPowerfulOz

                      Busy site that one. "That means ii is real!"

                      If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                      You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                      Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                      F Offline
                      F Offline
                      Forogar
                      wrote on last edited by
                      #12

                      Quote:

                      That means ii is real!

                      Very bad English; it should be: That means ii am real! This just goes to show mathematicians can't do no good English.

                      - I would love to change the world, but they won’t give me the source code.

                      T Richard DeemingR 2 Replies Last reply
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                      • F Forogar

                        Quote:

                        That means ii is real!

                        Very bad English; it should be: That means ii am real! This just goes to show mathematicians can't do no good English.

                        - I would love to change the world, but they won’t give me the source code.

                        T Offline
                        T Offline
                        TheGreatAndPowerfulOz
                        wrote on last edited by
                        #13

                        Forogar wrote:

                        mathematicians can't do no good English

                        Poor grammar yourself. Double negative means they can! Joke's on you!

                        If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                        You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                        Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                        F 1 Reply Last reply
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                        • F Forogar

                          Quote:

                          That means ii is real!

                          Very bad English; it should be: That means ii am real! This just goes to show mathematicians can't do no good English.

                          - I would love to change the world, but they won’t give me the source code.

                          Richard DeemingR Offline
                          Richard DeemingR Offline
                          Richard Deeming
                          wrote on last edited by
                          #14

                          Teacher: David, give me a sentence starting with "I." David: I is... Teacher: No, David. You must always say "I am." David: Oh right. I am the ninth letter of the alphabet.


                          "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                          "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

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                          • D DaveP62

                            This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:

                            Quote:

                            If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0

                            Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:

                            B Offline
                            B Offline
                            BobJanova
                            wrote on last edited by
                            #15

                            The awesome thing about this equation is that three apparently unrelated constants, from entirely different areas of mathematics (calculus, geometry and complex numbers), can be related in such an elegant and simple way.

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                            • Richard DeemingR Richard Deeming

                              Try this one[^]: e-π/2 = ii


                              "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                              B Offline
                              B Offline
                              BobJanova
                              wrote on last edited by
                              #16

                              Help me my brain hurts ii being real is just weird.

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                              • T TheGreatAndPowerfulOz

                                And the fact that eiπ = -1 seems somehow significant, almost metaphysical... :rolleyes:

                                If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                                You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                                Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                                L Offline
                                L Offline
                                Lost User
                                wrote on last edited by
                                #17

                                Yes, of course it is mysterious, metaphysical and non-trivial, yet very true. Therein lies its beauty.

                                Cornelius Henning Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bath and not make messes in the house. - Robert Heinlein, Lazarus Long: "Time Enough for Love"

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                                • T TheGreatAndPowerfulOz

                                  Forogar wrote:

                                  mathematicians can't do no good English

                                  Poor grammar yourself. Double negative means they can! Joke's on you!

                                  If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                                  You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                                  Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                                  F Offline
                                  F Offline
                                  Forogar
                                  wrote on last edited by
                                  #18

                                  I assume you are not familiar with the concept of a deliberate parody used as a mechanism for humour?

                                  - I would love to change the world, but they won’t give me the source code.

                                  T 1 Reply Last reply
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                                  • L Lost User

                                    Yes, of course it is mysterious, metaphysical and non-trivial, yet very true. Therein lies its beauty.

                                    Cornelius Henning Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bath and not make messes in the house. - Robert Heinlein, Lazarus Long: "Time Enough for Love"

                                    T Offline
                                    T Offline
                                    TheGreatAndPowerfulOz
                                    wrote on last edited by
                                    #19

                                    Seems like a sort of convergence... like the Ancients wanted us to find it...

                                    If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                                    You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                                    Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                                    1 Reply Last reply
                                    0
                                    • F Forogar

                                      I assume you are not familiar with the concept of a deliberate parody used as a mechanism for humour?

                                      - I would love to change the world, but they won’t give me the source code.

                                      T Offline
                                      T Offline
                                      TheGreatAndPowerfulOz
                                      wrote on last edited by
                                      #20

                                      Really? You're trying to recover using that? OK. You win.

                                      If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                                      You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                                      Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                                      F 1 Reply Last reply
                                      0
                                      • T TheGreatAndPowerfulOz

                                        Really? You're trying to recover using that? OK. You win.

                                        If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
                                        You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
                                        Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein

                                        F Offline
                                        F Offline
                                        Forogar
                                        wrote on last edited by
                                        #21

                                        ;P Nothing personal against you intended - I was more interested in mathematicians as a breed (unless you are a mathematician, in which case...).

                                        - I would love to change the world, but they won’t give me the source code.

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                                        • D DaveP62

                                          This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:

                                          Quote:

                                          If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0

                                          Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:

                                          L Offline
                                          L Offline
                                          Lost User
                                          wrote on last edited by
                                          #22

                                          By that measure e=mc2 comes down to "the bigger something is the more eneregy it has" 'cause c is a constant, so therefore is csquared. So Sally it's just e is proportional to m No biggie

                                          MVVM # - I did it My Way ___________________________________________ Man, you're a god. - walterhevedeich 26/05/2011 .\\axxx (That's an 'M')

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