|
Coefficients of the first five Legendre polynomials for adjusted time points (t*) used in the poplar growth study. |
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| t |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
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| t* |
-1 |
-4/5 |
-3/5 |
-2/5 |
-1/5 |
0 |
1/5 |
2/5 |
3/5 |
4/5 |
1 |
| P0(t*) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
| P1(t*) |
-1 |
-4/5 |
-3/5 |
-2/5 |
-1/5 |
0 |
1/5 |
2/5 |
3/5 |
4/5 |
1 |
| P2(t*) |
1 |
23/50 |
1/25 |
-13/50 |
-11/25 |
-1/2 |
-11/25 |
-13/50 |
1/25 |
23/50 |
1 |
| P3(t*) |
-1 |
-2/25 |
9/25 |
11/25 |
7/25 |
0 |
-7/25 |
-11/25 |
-9/25 |
2/25 |
1 |
| P4(t*) |
1 |
-24/103 |
-51/125 |
-93/823 |
29/125 |
3/8 |
29/125 |
-93/823 |
-51/125 |
-24/103 |
1 |
| P5(t*) |
-1 |
167/418 |
107/701 |
-59/218 |
-274/891 |
0 |
274/891 |
59/218 |
-107/701 |
-167/418 |
1 |
| P6(t*) |
1 |
-172/439 |
132/767 |
163/557 |
-56/695 |
-5/16 |
-56/695 |
163/557 |
132/767 |
-172/439 |
1 |
| P7(t*) |
-1 |
110/459 |
-10/31 |
13/891 |
231/787 |
0 |
-231/787 |
-13/891 |
10/31 |
-110/459 |
1 |
Lin and Wu BMC Bioinformatics 2006 7:138 doi:10.1186/1471-2105-7-138 |
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