a new sort of Gaussian noise
- To: mathgroup at smc.vnet.net
- Subject: [mg49251] a new sort of Gaussian noise
- From: "Roger L. Bagula" <rlbtftn at netscape.net>
- Date: Fri, 9 Jul 2004 02:26:23 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Last night I noticed that the second derivative of the projective line was a parametric cardioid which has genus one. I realized that I might be able to get a new noise effect by making a random projection from the cardioid to the real line and from there to a Gaussian noise. It works and it apparently gives an effect much like shot noise/ tunneling effects in transistors. These also seems to be a cut off effect in the amplitudes which divides them into two distinct parts. I'm attaching both the notebook striped of pictures and pictures of the notebook( deleted for newsgroup posts: I posted the pictures to alt.fractals) I call the noise a martingale as that is the traditional name for functionally random noises different than the standard probability distributions (pdf, I hate such abrivations). Respectfully, Roger L. Bagula tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/ (*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. 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Bagula tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/