Chapter 13 Polynomial fit E3
| \(T\) | \(L\) | \(E_3/m\) | err |
|---|---|---|---|
| 32 | 24 | 3.18188 | 0.01900420 |
| 32 | 28 | 3.11606 | 0.01504940 |
| 32 | 30 | 3.08234 | 0.00984515 |
| 32 | 32 | 3.06695 | 0.02354710 |
| 32 | 36 | 3.03299 | 0.00928475 |
| 32 | 24 | 4.40513 | 0.01720130 |
| 32 | 28 | 4.12493 | 0.00876175 |
| 32 | 30 | 4.01020 | 0.00859925 |
| 32 | 32 | 3.92135 | 0.00657383 |
| 32 | 36 | 3.74150 | 0.00677096 |
| 32 | 24 | 5.14467 | 0.01920940 |
| 32 | 28 | 4.73365 | 0.00799415 |
| 32 | 30 | 4.59609 | 0.00845188 |
| 32 | 32 | 4.43569 | 0.01235340 |
| 32 | 36 | 4.22501 | 0.01145000 |
| 32 | 24 | 5.63123 | 0.04420660 |
| 32 | 28 | 5.16721 | 0.03746630 |
| 32 | 30 | 4.91945 | 0.03899290 |
| 32 | 32 | 4.71763 | 0.03281780 |
| 32 | 36 | 4.42612 | 0.03109000 |
| 32 | 24 | 5.70604 | 0.03305600 |
| 32 | 28 | 5.24610 | 0.04919780 |
| 32 | 30 | 5.00299 | 0.04576750 |
| 32 | 32 | 4.87511 | 0.02263060 |
| 32 | 36 | 4.63106 | 0.01109630 |
\[\begin{gather} \chi^2/d.o.f.=0.947874 \\ P[0]=4.04415\pm (0.36) \\ P[1]=-0.0514787\pm (0.024) \\ P[2]=0.000649751\pm (0.00039) \\ P[3]=6.95641\pm (0.35) \\ P[4]=-0.141763\pm (0.023) \\ P[5]=0.00145888\pm (0.00036) \\ P[6]=9.26834\pm (0.33) \\ P[7]=-0.236848\pm (0.021) \\ P[8]=0.00268858\pm (0.00033) \\ P[9]=10.6441\pm (0.91) \\ P[10]=-0.279449\pm (0.06) \\ P[11]=0.0029607\pm (0.00098) \\ P[12]=11.0848\pm (0.63) \\ P[13]=-0.313744\pm (0.042) \\ P[14]=0.00373546\pm (0.00067) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 0.132& -0.997& 0.99& 0.264& -0.275& 0.282& 0.423& -0.409& 0.391& 0.072& -0.0847& 0.0982& 0.113& -0.138& 0.159\\ -0.997& 0.000565& -0.998& -0.263& 0.274& -0.282& -0.397& 0.384& -0.366& -0.0774& 0.0891& -0.101& -0.135& 0.161& -0.183\\ 0.99& -0.998& 1.5e-07& 0.263& -0.273& 0.282& 0.376& -0.363& 0.346& 0.0835& -0.0943& 0.105& 0.157& -0.183& 0.204\\ 0.264& -0.263& 0.263& 0.122& -0.999& 0.997& 0.306& -0.322& 0.341& 0.032& -0.0176& 0.00505& -0.312& 0.328& -0.337\\ -0.275& 0.274& -0.273& -0.999& 0.000508& -0.999& -0.317& 0.333& -0.353& -0.018& 0.0051& 0.00596& 0.314& -0.33& 0.339\\ 0.282& -0.282& 0.282& 0.997& -0.999& 1.3e-07& 0.331& -0.347& 0.367& 0.00649& 0.00509& -0.0148& -0.314& 0.329& -0.339\\ 0.423& -0.397& 0.376& 0.306& -0.317& 0.331& 0.107& -0.998& 0.99& 0.0512& -0.0739& 0.0984& -0.15& 0.149& -0.146\\ -0.409& 0.384& -0.363& -0.322& 0.333& -0.347& -0.998& 0.000439& -0.997& -0.0517& 0.0739& -0.0979& 0.169& -0.168& 0.165\\ 0.391& -0.366& 0.346& 0.341& -0.353& 0.367& 0.99& -0.997& 1.11e-07& 0.0567& -0.0786& 0.102& -0.193& 0.193& -0.19\\ 0.072& -0.0774& 0.0835& 0.032& -0.018& 0.00649& 0.0512& -0.0517& 0.0567& 0.828& -0.997& 0.987& -0.0641& 0.0472& -0.0298\\ -0.0847& 0.0891& -0.0943& -0.0176& 0.0051& 0.00509& -0.0739& 0.0739& -0.0786& -0.997& 0.00361& -0.997& 0.0648& -0.0504& 0.035\\ 0.0982& -0.101& 0.105& 0.00505& 0.00596& -0.0148& 0.0984& -0.0979& 0.102& 0.987& -0.997& 9.61e-07& -0.0672& 0.0551& -0.0416\\ 0.113& -0.135& 0.157& -0.312& 0.314& -0.314& -0.15& 0.169& -0.193& -0.0641& 0.0648& -0.0672& 0.401& -0.996& 0.987\\ -0.138& 0.161& -0.183& 0.328& -0.33& 0.329& 0.149& -0.168& 0.193& 0.0472& -0.0504& 0.0551& -0.996& 0.00173& -0.997\\ 0.159& -0.183& 0.204& -0.337& 0.339& -0.339& -0.146& 0.165& -0.19& -0.0298& 0.035& -0.0416& 0.987& -0.997& 4.54e-07\\ \end{pmatrix} \end{gather}\]}