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  3. The History of "i" [modified]

The History of "i" [modified]

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  • C Chris Maunder

    i is reserved for sqrt(-1) cheers, Chris Maunder

    CodeProject.com : C++ MVP

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    Francisco Viella
    wrote on last edited by
    #30

    Chris Maunder wrote:

    i is reserved for sqrt(-1)

    It depends. In electrical engineering, i is reserved for alternate current and, hence, we use j to refer to sqrt(-1). Francisco Silver at last!!

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    • A alex barylski

      You know the ubiqious "i" found in almost every example of a for loop for newbies? On another forum were having this disscussion (sorta)... I said (I believe I read it in an C K&R book) that it's because it's simply an alias for Index which is what "i" is usually doing in a for loop...?? Someone else says it has to do with: They are from general Summation Notation that, like many other mathmatical notations, worked its way into early languages -- specifically Fortran (remember its FORMula TRANSlation) I never would have guessed :P Cheers :) It's frustrating being a genius and living the life of a moron!!! -- modified at 21:18 Wednesday 4th October, 2006

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      Gary R Wheeler
      wrote on last edited by
      #31

      It started here:   n  Σ  i=0 the mathematical equivalent to:

      for (i = 0; i <= n; i++) {
      }

      Note the terminating condition, as the mathematical expression Σ includes the terminating value.


      Software Zen: delete this;

      Fold With Us![^]

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      • F Francisco Viella

        Chris Maunder wrote:

        i is reserved for sqrt(-1)

        It depends. In electrical engineering, i is reserved for alternate current and, hence, we use j to refer to sqrt(-1). Francisco Silver at last!!

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        Chris Maunder
        wrote on last edited by
        #32

        You do realise that as a mathematician it's my duty to insert lots of engineer jokes, right? ;) I'll let you off with a warning this time. cheers, Chris Maunder

        CodeProject.com : C++ MVP

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        • A alex barylski

          You know the ubiqious "i" found in almost every example of a for loop for newbies? On another forum were having this disscussion (sorta)... I said (I believe I read it in an C K&R book) that it's because it's simply an alias for Index which is what "i" is usually doing in a for loop...?? Someone else says it has to do with: They are from general Summation Notation that, like many other mathmatical notations, worked its way into early languages -- specifically Fortran (remember its FORMula TRANSlation) I never would have guessed :P Cheers :) It's frustrating being a genius and living the life of a moron!!! -- modified at 21:18 Wednesday 4th October, 2006

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          Marc Clifton
          wrote on last edited by
          #33

          Hockey wrote:

          But is it true? Am I rememering wrong?

          "i" because it's automatically treated as an integer in Fortran--the first of several automatic integer variables, followed by "j", "k", "l", etc. I can't remember how many letters are allocated to be integers. Marc Pensieve Functional Entanglement vs. Code Entanglement Static Classes Make For Rigid Architectures Some people believe what the bible says. Literally. At least [with Wikipedia] you have the chance to correct the wiki -- Jörgen Sigvardsson

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          • C Chris Maunder

            You do realise that as a mathematician it's my duty to insert lots of engineer jokes, right? ;) I'll let you off with a warning this time. cheers, Chris Maunder

            CodeProject.com : C++ MVP

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            Francisco Viella
            wrote on last edited by
            #34

            Don't worry, I know quite a number of mathematics jokes. I suggest we call it even and stop this thread right here to avoid possible casualties should we start the war. :-D Francisco

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            • F Francisco Viella

              Don't worry, I know quite a number of mathematics jokes. I suggest we call it even and stop this thread right here to avoid possible casualties should we start the war. :-D Francisco

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              Chris Maunder
              wrote on last edited by
              #35

              :-D cheers, Chris Maunder

              CodeProject.com : C++ MVP

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              • A alex barylski

                You know the ubiqious "i" found in almost every example of a for loop for newbies? On another forum were having this disscussion (sorta)... I said (I believe I read it in an C K&R book) that it's because it's simply an alias for Index which is what "i" is usually doing in a for loop...?? Someone else says it has to do with: They are from general Summation Notation that, like many other mathmatical notations, worked its way into early languages -- specifically Fortran (remember its FORMula TRANSlation) I never would have guessed :P Cheers :) It's frustrating being a genius and living the life of a moron!!! -- modified at 21:18 Wednesday 4th October, 2006

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                Dheeraj Gaba
                wrote on last edited by
                #36

                Its because "i" stands for "Iteration/Iterator" :-O

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                • C Chris Maunder

                  i is reserved for sqrt(-1) cheers, Chris Maunder

                  CodeProject.com : C++ MVP

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                  Ravi Bhavnani
                  wrote on last edited by
                  #37

                  Please. Let's try and be rational about this. /ravi My new year's resolution: 2048 x 1536 Home | Music | Articles | Freeware | Trips ravib(at)ravib(dot)com

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                  • R Ravi Bhavnani

                    Please. Let's try and be rational about this. /ravi My new year's resolution: 2048 x 1536 Home | Music | Articles | Freeware | Trips ravib(at)ravib(dot)com

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                    Nish Nishant
                    wrote on last edited by
                    #38

                    Ravi Bhavnani wrote:

                    Please. Let's try and be rational about this.

                    :laugh: Regards, Nish


                    Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                    The Ultimate Grid - The #1 MFC grid out there!

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                    • A alex barylski

                      You know the ubiqious "i" found in almost every example of a for loop for newbies? On another forum were having this disscussion (sorta)... I said (I believe I read it in an C K&R book) that it's because it's simply an alias for Index which is what "i" is usually doing in a for loop...?? Someone else says it has to do with: They are from general Summation Notation that, like many other mathmatical notations, worked its way into early languages -- specifically Fortran (remember its FORMula TRANSlation) I never would have guessed :P Cheers :) It's frustrating being a genius and living the life of a moron!!! -- modified at 21:18 Wednesday 4th October, 2006

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                      Lost User
                      wrote on last edited by
                      #39

                      'i' for integer, 'i' for iterator. The tigress is here :-D

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                      • R Ryan Binns

                        David Stone wrote:

                        Coming up with the pronunciation for those letters is a little difficult though.

                        Give the spaghetti to someone who eats with their mouth open and listen to the interesting sounds that emerge :)

                        Ryan

                        "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                        Lost User
                        wrote on last edited by
                        #40

                        :laugh: Paul

                        Where a pointless picture of song titles once resided only blank space now remains.

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                        • Steve EcholsS Steve Echols

                          :laugh: No humps! Just double checked. Although...hunching over my monitor might give me a "single" in a couple more years. :)


                          - S 50 cups of coffee and you know it's on!

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                          Lost User
                          wrote on last edited by
                          #41

                          Hmm... :suss: Then you could be a Dromedary[^] ;P Paul

                          Where a pointless picture of song titles once resided only blank space now remains.

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                          • H Henrik Husted

                            So you also programmed on ZX Spectrum :)

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                            Mircea Grelus
                            wrote on last edited by
                            #42

                            Yes, when I was a kind used to mess around with a CIP-03 and then later with a HC-85. Those were the romanian versions for Spectrum. This was my model.[^] regards, Mircea Many people spend their life going to sleep when they’re not sleepy and waking up while they still are.

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                            • E El Corazon

                              Jeremy Falcon wrote:

                              I have always used x for that. It's the new-old-cool thing.

                              :shudder: except that x/X has spatial relationships automatically associated with its use. X and Y on a graph, X,Y,Z in 3D space. When I see x, I see spatial expectations. Personally I think that the use of 'i' comes from deeper inside. Is it the choice of 'i' because of the word integer or is the choice of 'i' as the first integer in Fortran because of a more narcissistic mathematical perspective. :rolleyes: _________________________ Asu no koto o ieba, tenjo de nezumi ga warau. Talk about things of tomorrow and the mice in the ceiling laugh. (Japanese Proverb)

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                              Jeremy Falcon
                              wrote on last edited by
                              #43

                              Jeffry J. Brickley wrote:

                              :shudder: except that x/X has spatial relationships automatically associated with its use. X and Y on a graph, X,Y,Z in 3D space. When I see x, I see spatial expectations.

                              Well, the majority of my programming days haven't been 3D programming. Although, I'm in the process of changing that.

                              Jeffry J. Brickley wrote:

                              Personally I think that the use of 'i' comes from deeper inside. Is it the choice of 'i' because of the word integer or is the choice of 'i' as the first integer in Fortran because of a more narcissistic mathematical perspective.

                              I agree. I'm just saying x is what the rebels use. Ok maybe not, but I have to justify it somehow. :) Jeremy Falcon

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                              • E El Corazon

                                Jeremy Falcon wrote:

                                I have always used x for that. It's the new-old-cool thing.

                                :shudder: except that x/X has spatial relationships automatically associated with its use. X and Y on a graph, X,Y,Z in 3D space. When I see x, I see spatial expectations. Personally I think that the use of 'i' comes from deeper inside. Is it the choice of 'i' because of the word integer or is the choice of 'i' as the first integer in Fortran because of a more narcissistic mathematical perspective. :rolleyes: _________________________ Asu no koto o ieba, tenjo de nezumi ga warau. Talk about things of tomorrow and the mice in the ceiling laugh. (Japanese Proverb)

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                                Jeremy Falcon
                                wrote on last edited by
                                #44

                                Btw, the reason I started using x was because it was a common variable name in math. No, not hard core math, but the stuff they teach you in grade school. I started programming way back then and it just stuck with me I guess. Jeremy Falcon

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                                • J Jeremy Falcon

                                  Hockey wrote:

                                  You know the ubiqious "i" found in almost every example of a for loop for newbies?

                                  I have always used x for that. It's the new-old-cool thing. :) Jeremy Falcon

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                                  Fernando A Gomez F
                                  wrote on last edited by
                                  #45

                                  Hi, the i history is simple. In mathematics, when dealing with matrices and vectors, you usually call a_i_j as the element at the i-th row and j-th column. Then, when iterating over a vector, you usually use this notation taken from linear algebra. Nowadays, this behaviour has been extended to almost every for loop. A polar bear is a bear whose coordinates has been changed in terms of sine and cosine.

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                                  • R Roger Wright

                                    In mathematics, i, j, and k are universal - they are used as integers, indices and to designate imaginary axes for vector quantities. This bled over into FORTRAN when computers were run almost exclusively for mathematicians and has stuck for decades. The use of n is a fairly new development, but it was only a matter of time before we ran out of integers. Fortunately, x and y are still usable for real numbers, and one has to grant them credit - there are an awful lot of real numbers. These valiant variables don't get half the credit they deserve... Engineers have done what we can to preserve the available pool of numeric variables. We use x, y, and z to designate unit vector directions, thereby reducing the load that i, j, and k have to carry. Recognizing the need to conserve, we have also adopted the variable s to designate the special value jw, mainly because it makes the math a lot easier. "...a photo album is like Life, but flat and stuck to pages." - Shog9

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                                    Jorgen Sigvardsson
                                    wrote on last edited by
                                    #46

                                    Roger Wright wrote:

                                    The use of n is a fairly new development, but it was only a matter of time before we ran out of integers.

                                    You must be talking about Chuck Norris. He ran out of integers. Twice! :-D

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                                    • M MatthysDT

                                      How does one discover a letter? :laugh::confused:

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                                      Lilith C
                                      wrote on last edited by
                                      #47

                                      evilnoodle wrote:

                                      How does one discover a letter?

                                      I don't remember the history other than reading it in a Heinlein novel, but I believe the story is that 'i' as a letter was added to the alphabet much later than most letters. Before that the letter 'j' was used where the 'i' was. Okay, so you don't discover letters, you create them. Reminds me though of an old George Carlin news report where he says that scientists had discovered a hitherto undiscovered new number between 6 and 7. It's "bleen'. Of course, he was thinking in terms of integers. But I had pictures in my head of a group of scientists who each had an extra appendage on their left hands. What I didn't look forward to was having to quote numbers like bleen thousand bleen hundred and bleenty-bleen. Lilith

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                                      • C code frog 0

                                        The possibilities are transcendental when you get David and Ryan going on Mathematics. Add in Chris and well... somehow it all equals "i" in the end...:laugh:


                                        The enemy's gate is down. :cool: Welcome to CP in your language. Post the unicode version in My CP Blog[^] now.

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                                        CAReed
                                        wrote on last edited by
                                        #48

                                        I can't image that this conversation is even happening!!! Christopher Reed "The oxen are slow, but the earth is patient."

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                                        • D David Stone

                                          Chris Maunder wrote:

                                          i is reserved for sqrt(-1)

                                          We're not going to start this discussion again...are we? :~

                                          They dress you up in white satin, And give you your very own pair of wings In August and Everything After

                                          I'm after everything

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                                          Polymorpher
                                          wrote on last edited by
                                          #49

                                          just square it lol Pablo

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