Wednesday, April 30, 2014
The illustrations posted on this blog are a demonstration of aesthetic choices, Operant Selection. Using only finite tools, instructions and symbolic language, it is reasonable to want to approach mathematics as an artistic medium. The capacities of computational graphics makes mapping waveforms on to manifolds easy. As significant as is getting to design equations that are exactly what I want, I have powerful software that makes it fun for me to want to keep learning. Getting to collect my math graphics for demonstration models has made explaining creative processing much easier. I am still an amateur.
P.Q. Ghost Waves are just artifacts of the periodic functions mapped into a domain defined scaling limits. Closely resembling non finite algebraic groups I use ghost waves as an analogy of "Sysygy." {Much more later} The persistent structures in the Ghost Waves are resonant echos. Defined by boundary envelopes, synchronous vibrations reenforce and interfere each other dependently. In other words, Ghost Waves reflect their environment while retaining the original information.
As comparable models, I proceed between designing equations that demonstrate varying degrees of higher order symmetries with the completely unrelated system of reading signs in peoples hands, handwriting, voice, even astrological charts or any other kind of distinct modeling for each unique person. Though it may seem like a stretch, the manipulation of symbolic language is the same. As I try to apply tensor analysis to hand writing and hand marking I realize I'm directly hitting that coding threshold. I'm manipulating complex phenomena in a concise yet inaccessible way. Although this math is perfect for analyzing the kind of twisted linear space I see in peoples hands, I know that as of yet I'm not skilled or educated enough to make these difficult formulas sensible. The process of reading for people is easy compared to trying to explain "Why."
I'm seeing waves. Spins. Symmetries, Projections in Time, Space and Variability. Not only is the symbolic language for tensor algebra difficult. Learning any language can be time intensive. In considering warping transformations or vector calculus we are lost in a world of mathematically fluid solutions. Waves, spins, symmetries, projections in time and depth. I find the same things when I read for someone. Shared space in rotation. Ideas, attention, awareness. Points of view are in juxtaposition. When did human relations have to become a martial art? Everything and everyone are in motion.
If we aren't looking for answers, they just pass us by. And if there is no answer, we have been known to keep looking in the wrong places indefinitely. These "Blind Spots" incline our focus away from or toward the subjects of uncertainty. Confronting uncertainties is my art. In checking Wikipedia, I found that they have almost nothing on the Babylonian origins of our shared use of our months, days, hours, minutes, seconds and degrees. Curiosity seems to be one of the only leading factors in preventing the stagnation of perspectives.
I wish I felt more comfortable about explaining how I'm doing things mathematically. Suffice it to say it is getting done. I will continue to amend the evidence documents. I'm going to divide the book at this point into;
: DOCUMENTARY APPENDIX
&
:NARRATIVE
It will be necessary because including both equations and statistical charts into a blog diary might be thrilling for some of us, but it is rude to both the exclusively right brained or left brained people amongst us. Frankly I can only use one of my hemispheres at a time anyways. I have a lot of purely secretarial grunt work to do. I'm looking forward to the continued acquisition of the skills of desktop publishing. I may even be able to market these much more practical skills if and when I'm not able to publish. Have fun, otherwise this tome is just too heavy and we are already orbiting the event horizon of the informational black hole. Undertow is inevitable. Don't get lost in the Killing Vectors.
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