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Posted: Tue Oct 21, 2003 2:24 am
by norsenerd
<span style='font-size:14pt;line-height:100%'><b>HOMOGENIOUS</b></span><br><br>Something is <i>homogeneous</i> iff it has the same properties at every point.<br><br>This is not completely rigorous too. Sorry.
Posted: Tue Oct 21, 2003 2:30 am
by norsenerd
<span style='font-size:14pt;line-height:100%'><b>NOTE</b></span><br><br>Isotropy at a point dose not imply homogeniality because the properties could diminish away from a point and sill be isotropic at that point.<br><br>Isotropy everywhere does imply homogeniality.<br><br>Some properties have direction so thus if something was homogeneous and had directional dependant properties then it is not isotopic. (Hence an error in my definition)<br><br>If you think of isotropy as having no preferred direction than youre good.<br><br>If you think homogeniality as if you take any picture at a point it looks the same as the same picture at any other point, youre good.
Posted: Tue Oct 21, 2003 5:55 am
by LotharBot
yay! Math! w00t!
Posted: Tue Oct 21, 2003 6:49 am
by Foxchild
I'm with LotharBot on this!Im loving this! thanks norsenerd!
Posted: Tue Oct 21, 2003 2:30 pm
by norsenerd
Thanks Tavis.<br><br>Also it's my pleasure.