i'm in 9th grade and i got confused on what a isolated point is, i was gone from school a few days and im sure the teacher explained what it was while i was gone, so does anyone know what it is?
2006-09-24 12:44:13 · 4 answers · asked by shorty_gurl1206 1 in Science & Mathematics ➔ Mathematics
It's a point that doesn't have any point near by. That is, if the point is x, then for all other elements y are far from x
2006-09-26 15:06:29 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Imagine a water drop on a table.
There are some molecules that are "inside" the drop, some of them are on the boundary and perhaps one single molecule is "out" of the drop
So: the "inside" drop molecules are the interior points. You have the boundary points too, those who build the boundary set of the drop. And finally you have the isolated points, the molecule wich is out of the drop. You have the external points, these are the table points, where there is no water.
Imagine a very little ball around the molecules.
An isolated point has a ball around it that has not other molecule of water.
The insider points have a ball around them that are completely "in the drop".
The exterior point have not a single molecule of water in the ball around them.
And the boundary points (the boundary could be a molecule of water or not) have a ball around them that have both kind of molecules, the water ones and the "only tables" ones.
The radius of the balls are as small as you want.
Hope this helps you picturing this topological concepts.
Ana
2006-09-24 15:15:55 · answer #2 · answered by Ilusion 4 · 0⤊ 1⤋
Sure. It's a point that doesn't have any point(s) 'touching' it. That is, if the point is x, then for all other numbers in the set in which x exists (call them y) x-y =/= 0
Doug
2006-09-24 12:52:09 · answer #3 · answered by doug_donaghue 7 · 0⤊ 1⤋
You do "set theory" in 9th grade?
2006-09-24 12:50:38 · answer #4 · answered by Anonymous · 0⤊ 1⤋