Delta Function - Gauge-institute.org
Delta Function - Gauge-institute.org
Delta Function - Gauge-institute.org
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<strong>Gauge</strong> Institute Journal, Volume 8, No.2, May 2012H. Vic DannonContentsIntroduction1. Hyper-real Line2. Integral of a Hyper-real <strong>Function</strong>3. <strong>Delta</strong> <strong>Function</strong>4. δ( x)and the Fourier Transform5. Fourier Integral Theorem6. Cosine representation of δ( x)and the Fourier integralTheorem7. δ(, xy)and the Fourier Transform8. δ(,,)xyz and the Fourier transform9. <strong>Delta</strong> Sequenceδn ( x )n⎛sin( nx)⎞= ⎜π ⎜⎝2nx ⎟⎠24