@Bracewell,
Lets go over Taylor's Series standard again for the last time:P
As taught by my professor..My step-father PHd
____________________________________________________________
Taylor's series is standard mathematical method of rewriting functions in infinite series form. Typical example of a infinite series is :
Y= 1+ 1/2 + 1/4 + 1/8 + 1/16 .... infinite terms.
If you sum this it will be equal to 2.0.
If all the terms are summed then Y=2 if you only sum say first 10 terms itwill be approximately 2. The symbol ~ means approximately.
I have used Taylor series many times to rewrite complex functions in simplified series form. If the second term is <<1 then the contributions from higher terms (meaning say 3rd, 4th, 5th .. terms in the infiniteseries) is very negligible and we can say that approximate the function by
using only 1st term. It is however, approximate only.
________________________________________________________________
This is the same as say taking
CISC or RISC..You don't think it is possible..
Your using that platform as we speak.Intel..
Welcome to more ways to skin a cat"<--has to be a cat all the time! I love Cats by-the-way
-Marc
Bracewell wrote:Xris - Yep, me too and we have a couple of good questions still outstanding. However, one of your questions was about how light can be slowed. This is my version and it won't matter too much if my memory is a bit faulty on the facts.
Long ago a machine was made using a beam of light and rotating mirrors to measure the speed of light and after many adjustments it gave consistent results but the scientists noticed a very strange thing about the results as it did not seem to matter in what direction or in what circumstances the measurements were done, the result was always the same. The machine was so accurate it should have detected the rotational surface speed of the planet and, or the orbital speed of the planet around the sun. At first this was explained as some kind of experimental aberration but slowly it dawned that the results were real.
All hell broke out in the scientific world because these results were rocking the very foundation of physics. After all, this meant that time based calculations of speed were not additional or whatever in all circumstances. As mathematics did not work any more learned people were ready to tear out the foundations. If this forum had existed then it would have attracted the attention of everyone from scientists to mystics (maybe as it does now you might say).
Some got close but along came our hero of this story, Einstein, who bravely suggested that the only explanation was that fundamentally time must be different in each circumstance of each experiment and he gave pretty good mathematical directions on how to correct time for each experiment. As you can imagine it went down like a lead balloon. However, it began to dawn that maybe this fellow was correct because he also made some stunning mathematical predictions about the bending of light and the precession of the planet Mercury. All of a sudden mathematics worked again and most scientists breathed easy. But Einstein did not just introduce new mathematics, oh no, he also introduced a new concept that the very presence of a large mass, or gravity , is the reason that these corrections need to be made and similarly so with speed. So, it wasn't then just a bit of mathematical hocus-pocus that made him great but the introduction into physics of a fundamental and fantastic new concept supported by mathematics. Since then science has progressed at a blistering pace and without these advances I would not be able to communicate on a machine like this ('B' thing).
However, there is an ironic postscript to this story because it turns out the experiments to measure the speed of light did not determine the speed correctly as it was not strictly speaking light at all that was being measured. It just shows you can start with a bunkum model and still get it correct, which was something I think James Clerk Maxwell knew all along.
I hope this helps