12.07.2015 Views

Delta Function - Gauge-institute.org

Delta Function - Gauge-institute.org

Delta Function - Gauge-institute.org

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

<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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!