Difference between revisions of "User talk:Brian"
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http://brems.iac.isu.edu/mrtg/cleantemp1-day.png <br/> | http://brems.iac.isu.edu/mrtg/cleantemp1-day.png <br/> | ||
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+ | ===Odds=== | ||
+ | Finally, <math>\{u_1, u_2, u_3\} = \{ 1, 2\sqrt{3}(t-1/2), 6\sqrt{5}(t^2-t+1/6) \}</math>. | ||
+ | |||
+ | (b) Let <math>B = \{u_1,u_2,u_3\}</math> be the orthonormal basis found above. | ||
+ | For any <math>f(t) = at^2+bt+c \in U</math> | ||
+ | <br/> | ||
+ | <math> f(t) = \sum_{i=1}^3 a_iu_i(t) | ||
+ | = \left( \frac{a}{3}+\frac{b}{2}+c \right) + \left( \frac{\sqrt{3}}{3}(a+b) \right) 2\sqrt{3} \left( t-\frac{1}{2} \right) | ||
+ | + \left( \frac{\sqrt{5}}{30}a \right) 6\sqrt{5} \left( t^2-t+\frac{1}{6} \right) | ||
+ | </math> | ||
+ | <br/> | ||
+ | <math> | ||
+ | = \frac{a}{3}+\frac{b}{2}+c | ||
+ | - a - b + 2at + 2bt | ||
+ | + at^2 - at + \frac{a}{6} | ||
+ | </math> | ||
+ | <br/> | ||
+ | <math> | ||
+ | = at^2 + t (a+2b) -\frac{1}{2}(a+b-2c) | ||
+ | </math> | ||
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[[Micro_Cluster]]<br/> | [[Micro_Cluster]]<br/> | ||
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− | + | [[Brian Articles]] | |
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Latest revision as of 23:05, 26 May 2010
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<ref>Phoenix: The Peoples of the Hills: Ancient Ararat and Caucasus by Charles Burney , David Marshall Lang, Phoenix Press; New Ed edition (December 31, 2001)</ref>
http://brems.iac.isu.edu/mrtg/cleantemp1-day.png
Odds
Finally,
.(b) Let
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