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Understanding the most beautiful equation in Mathematics

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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

    M D T B 4 Replies Last reply
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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 1 Reply Last reply
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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

              F 1 Reply Last reply
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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
                  0
                  • 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
                    0
                    • 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

                      1 Reply Last reply
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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.

                        1 Reply Last reply
                        0
                        • 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.

                          1 Reply Last reply
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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"

                            T 1 Reply Last reply
                            0
                            • 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
                              0
                              • 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.

                                    1 Reply Last reply
                                    0
                                    • 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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