1 Sentence that appears aurora is expressed by integral on Riemann sphere.
Refer to the following paper.
Aurora Theory Word, Phrase and Sentence Tokyo October 25, 2006
2 Sentence has distance that is expressed by the height of trapezium on sentence plane.
Refer to the following paper.
Aurora Theory Aurora Plane Tokyo October 14, 2006
3 Sentence has time that is expressed by the vector on the right or left side of trapezium.
| AB | = S・tb-a
Here | | is distance between phrase A and phrase B, abbreviated to DAB.
S is velocity of moving DAB.
tb-a is time-lag of phrase A and phrase B. Each phrase generates according to its peculiar time.
Now the radius of Riemann sphere is r. The angle made by vector A and vector B is θ.
Here θ is Function (xa, ya, xb, yb), and any point (x, y) is on complex plane.
DAB is expressed by 2 r sinθ/2.
S is expressed by 2 r sinθ/2 / tb-a.
Now when tb-a is unit time 1, S is expressed 2 r sinθ/2.
S is variable by pointing word on complex plane.
So Dictoron’s velocity on Riemann sphere is variable.
Refer to the following papers.
Distance Theory Tokyo May 5, 2004
Changeability To SAPIR and KARCEVSKIJ Tokyo January 8, 2005
Time For KARCEVSKIJ Tokyo January 22, 2005
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