The graphed data look like this. I need to extract the data for each curve individually and use Interpolation to create a differentiable function for each curve. Can you show how to do this?
I will need to select data that falls between certain ranges. Ideally, I need to define a function xmin[t] and xmax[t] and select all data that falls between those limits.
Here is the data:
{{0.0001, {3.33812, 0.291642, 1.25777, 2.22443}}, {0.0002, {3.4381,
0.320099, 1.28631, 2.25285}}, {0.0003, {3.53812, 0.341598, 2.27456,
1.3081}}, {0.0004, {3.6381, 0.358445, 2.29152,
1.32505}}, {0.0005, {3.73812, 0.372028, 2.30516,
1.33859}}, {0.0006, {3.8381, 2.31621, 1.3496,
0.383104}}, {0.0007, {3.93812, 2.32534, 1.35872,
0.392211}}, {0.0008, {4.03811, 2.33303, 1.36642,
0.399914}}, {0.0009, {4.13811, 2.33961, 1.37303,
0.406549}}, {0.001, {4.23811, 2.34531, 1.37876,
0.412299}}, {0.0011, {4.33811, 2.35031, 1.38379,
0.417339}}, {0.0012, {4.43812, 2.35474, 0.421802,
1.38826}}, {0.0013, {4.5381, 1.39232, 2.3587,
0.425801}}, {0.0014, {4.63812, 1.39593, 2.36227,
0.429397}}, {0.0015, {4.7381, 1.39919, 2.3655,
0.432651}}, {0.0016, {4.83812, 1.40215, 2.36846,
0.435615}}, {0.0017, {4.9381, 1.40487, 2.37117,
0.438333}}, {0.0018, {5.03811, 1.40737, 2.37368,
0.440839}}, {0.0019, {5.1381, 1.40969, 2.37601,
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0.449249}}, {0.0023, {5.53812, 1.41752, 2.38395,
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2.2544}}, {0.0293, {3.5444, 0.342775, 2.27575,
1.30929}}, {0.0294, {3.64438, 0.359383, 2.29246,
1.32599}}, {0.0295, {3.7444, 0.372795, 2.30592,
1.33935}}, {0.0296, {3.84438, 2.31683, 1.35022,
0.383725}}, {0.0297, {3.9444, 2.32586, 1.35924,
0.392733}}, {0.0298, {4.04439, 2.33348, 1.36687,
0.40036}}, {0.0299, {4.14439, 2.33999, 1.37341,
0.406934}}, {0.03, {4.2444, 2.34565, 1.37909,
0.412635}}, {0.0301, {4.34439, 2.35061, 1.38409,
0.417635}}, {0.0302, {4.4444, 2.355, 0.422066,
1.38852}}, {0.0303, {4.54438, 1.39256, 2.35894,
0.426039}}, {0.0304, {4.6444, 1.39614, 2.36248,
0.429611}}, {0.0305, {4.74438, 1.39938, 2.3657,
0.432845}}, {0.0306, {4.8444, 1.40233, 2.36864,
0.435793}}, {0.0307, {4.94439, 1.40503, 2.37134,
0.438497}}, {0.0308, {5.04439, 1.40752, 2.37383,
0.44099}}, {0.0309, {5.14439, 1.40983, 2.37615,
0.443302}}, {0.031, {5.24439, 1.41197, 2.37832,
0.445456}}, {0.0311, {5.3444, 1.41398, 2.38035,
0.447471}}, {0.0312, {5.44439, 1.41586, 2.38225,
0.449364}}, {0.0313, {5.5444, 1.41763, 2.38406,
0.451151}}, {0.0314, {5.64438, 1.41931, 2.38577,
0.452842}}, {0.0315, {5.7444, 1.4209, 2.38739,
0.454449}}, {0.0316, {2.38894, 5.84438, 1.42242,
0.455981}}, {0.0317, {2.39041, 5.9444, 1.42387,
0.457446}}, {0.0318, {6.04439, 1.42527, 0.458852,
2.39181}}, {0.0319, {6.14439, 1.4266, 0.460205,
2.39316}}, {0.032, {6.24439, 1.42789, 0.461509,
2.39446}}, {0.0321, {6.34439, 1.42914, 0.462772,
2.39572}}, {0.0322, {6.4444, 1.43035, 0.463996,
2.39694}}, {0.0323, {6.54438, 1.43153, 0.465187,
2.39813}}, {0.0324, {6.6444, 1.43267, 0.466348,
2.39928}}, {0.0325, {6.74438, 0.467485, 1.43379,
2.40041}}, {0.0326, {6.8444, 0.468603, 1.43488,
2.40151}}, {0.0327, {6.94438, 0.4697, 1.43596,
2.40259}}, {0.0328, {7.0444, 0.470777, 1.43702,
2.40365}}, {0.0329, {7.14439, 0.471837, 1.43806,
2.4047}}, {0.033, {7.24439, 0.472884, 1.43909,
2.40574}}, {0.0331, {7.3444, 0.473919, 1.4401,
2.40676}}, {0.0332, {7.44439, 0.474945, 1.44112,
2.40778}}, {0.0333, {7.5444, 0.475964, 1.44212,
2.40879}}, {0.0334, {7.64439, 0.476978, 1.44312,
2.4098}}, {0.0335, {7.7444, 0.477991, 1.44412,
2.4108}}, {0.0336, {7.84438, 0.479002, 1.44512, 2.4118}}}
I need to find data that falls within certain ranges. Can you show me how to separate out the data for each curve in the graph individually?
Interpolation
). Have you tried usingInterpolation
on each part of your dataset? $\endgroup$