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Let's discuss Mathematics

Discussion in 'Science & Technology' started by ParadigmShifter, Mar 16, 2009.

  1. Lohrenswald

    Lohrenswald 老仁森林

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    I also have that b and c are eachothers complex conjugate, so identical if they're real, so those solutions you suggested can't fit.

    The problem is I can't just assume that b and c are real, and I still can't figure out how to decide their values when assuming a+d=0
     
  2. AdrienIer

    AdrienIer Chieftain

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    a=0, b=i, c=-i, d=0 works right ? Which means b and c aren't necessarily real ?

    Edit : if you limit yourself to b and c being purely imaginary thenfor 0<k<1 b=k*i, c=-k*i and a=sqrt(1-k²) works in general
     
  3. Lohrenswald

    Lohrenswald 老仁森林

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  4. Lohrenswald

    Lohrenswald 老仁森林

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    especially since assuming a+d=0, I'm essentially left with

    a^2+bc=1

    d^2+bc=1

    and since a^2=d^2 that's essentially just one equation with two unknowns

    I mean I still have b=c*, but like

    I could try like b=b(real)+ib(imag) I guess
     
  5. Lohrenswald

    Lohrenswald 老仁森林

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    asked for help, so in case people are curious, the answer is a and d in cosinus form and b and c in sinus form (either real or imaginary for the latter)
     
  6. AdrienIer

    AdrienIer Chieftain

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    That sounds right :)
     
  7. Lohrenswald

    Lohrenswald 老仁森林

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    does the like infinite sum or whatever of 1/n! converge to something?

    that is like 1+1/2!+1/3!+1/4!+...

    I know it's kinda important to like figure out how and why these kinds of things are such and such but right now I kinda just need to know if it does and what it is

    edit: 2 seems like a reasonable guess, but I'm not sure

    edit2: or maybe it's more 1.75, but that's just from adding up until n=10
     
  8. Petek

    Petek Alpha Centaurian Administrator Supporter

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    Lohrenswald likes this.

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