Recent content by Kambiz_Veshgini

  1. K

    Laplace transform of dirac delta function

    let S be the Unit Step function for a function with a finite jump at t0 we have: (*) L{F'(t)}=s f(s)-F(0)-[F(t0+0)-F(t0-0)]*exp(-s t0)] so: L{S'(t-k)}=s exp(-s k)/s-0-[1-0]*exp(-s k) = 0 & k>0 but S'(t-k)=deltadirac(t-k) and we know that L{deltadirac(t-k)}=exp(-s k) so...
    • Kambiz_Veshgini
    • Thread
    • Delta Delta function Dirac Dirac delta Dirac delta function Function Laplace Laplace transform Transform
    • Replies: 1
    • Forum: General Math
  2. K

    Quaternions And Complex Numbers

    1. Are the HAMILTON‘ian unit vectors i, j, k still valid beside the imaginary unit i(Sqrt(-1))? Can we expand quaternions using complex numbers? 2. Is the quaternion a+bi+0j+0k equal to the complex number a+bi ?
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