Daily Speculations
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James Sogi
Philosopher, Juris Doctor, surfer, trader, investor, musician, black belt, sailor, semi-centenarian. He lives on the mountain in Kona, Hawaii, with his family. |
11/28/2005
Universal Geometry Part II, from Jim Sogi
If you compute the spread, (angle), and quadrance, (length) of the early October drop and current rally using Universal Geometry. S&P mini December.
The high of 10/3/05 (Julian 1)(x3), was 1239(y3). A3=(1,1239)
The low of 10/13/05 (Julian 10)(x2), was 1172(y2) A2=(10,1172)
The high of 11/25/05 (Julian 53), was 1235 A1=(53,1273)
x1=3
y1=1273
x2=10
y2=1172
x3=1
y3=1239
s = ((y1-y3)(x3-x2)-(y2-y3)(x3-x1)) ^2 */* ((x1-x3)^2+(y1-y3)^2)
((x2-x3)^2+(y2-y3)^2)
s = 57600/97322
s ~ 3/5
Quadrance (distance squared) |A1A2| = ((x2-x1) ^2 + (y2-y1)^2) ^.5 = 68
(81+4489) ^.5
Quadrance |A2A3| = ((x3-x2^2)+(y3-y2)^2) ^.5 = 101
The spread and quadrance can be used instead of polar coordinates or vectors for precise measurements using xy coordinates. These then can be quantified for predictive testing. The computations are simple algebra and fast, (for a computer).
c
Jim Sogi, May 2005
(address is not clickable)