[Monday, February 20, 2006 at 8:29 pm]
Subject: math from bloglines before msn spaces
February 20, 2006
will it move in bloglines
By jesarchives
Posted on: Mon, Feb 20 2006 7:57 PM
from blogtastic MATH SERIES
By jesarchives
XY PLANE AND ORBIT SPACE
February 20, 2006 @ 8:15 am · Filed under Uncategorized ·
The orbit space
We now have a variety,[ OF TRAVEL OPTIONS . FIRST OF ALL CHECK ON THE POSTAL RATES , THEM AFTER THAT CHECK WITH THE MONEY CHANGERS .] the xy-plane, which is divided into orbits such as {(a,b),(b,a)}. We shall, by example, show that there exists another plane, the st-plane, which has points that are in a one-to-one correspondence with the orbits in the xy-plane. This means that every point of the st-plane corresponds to an orbit in the xy-plane. This st-plane is called an orbit space. It can be shown that the relationship between the xy-coordinates and st-coordinates is s = x + y and t = xy.
FIND THE TRAIN STATION IN THIS IMAGE . . . . . . . . . . . . . X MARKS THE SPOT . . . . .
Figure 1: Each point in the st-plane corresponds to an orbit in the xy-plane.
We first pick a point in the st-plane and then calculate the corresponding points in the xy-plane. We than prove that the two points are in the same orbit.
Remember that s = x + y and t = xy. Substituting y = t/x into s = x + y gives
s = x + t/x
which is the same as
x2 - xs + t = 0.
17.
Simplify:
6
192
+
5
12
2967
7125
204
58
6
1682
6
841
12
58
3 convert the currency into the coin of your realm .
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