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孙权123

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注册: 2012-03-29
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专业: 化学反应工程

[求助] 如何拟合这条曲线方程

我做了一条曲线，需要把方程求出来进一步积分。求高手指点

P3@}@YDVRHC}0`RX6H(0~MU.png

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1楼 2015-06-29 15:29:06

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孙权123

银虫 (小有名气)

应助: 1 (幼儿园)
金币: 77.2
散金: 168
红花: 2
帖子: 186
在线: 43.1小时
虫号: 1724628
注册: 2012-03-29
性别: GG
专业: 化学反应工程

★
fegg7502: 金币+1, 鼓励交流 2015-06-30 08:04:12

引用回帖:

2楼: Originally posted by 月只蓝 at 2015-06-29 16:25:10
方法一，拟合成曲线，曲线积分。
方法二，散点数据直接数值积分。
给出数据来看看。

时间换算后质量分数
0.200000003 1.67E-13
0.300000012 1.20E-12
0.400000006 1.36E-12
0.5 1.22E-12
0.600000024 1.05E-12
0.700000048 9.70E-13
0.800000012 9.52E-13
0.900000036 8.77E-13
1 8.68E-13
1.100000024 8.60E-13
1.200000048 8.41E-13
1.300000072 8.36E-13
1.400000095 8.38E-13
1.5 8.44E-13
1.600000024 8.53E-13
1.700000048 8.77E-13
1.800000072 8.96E-13
1.900000095 9.18E-13
2 9.38E-13
2.099999905 1.28E-12
4.099999905 2.86E-11
6.099999905 1.46E-10
8.100000381 5.86E-10
10.10000038 2.00E-09
12.10000038 5.39E-09
14.10000038 1.28E-08
16.10000038 2.77E-08
18.10000038 5.68E-08
20.10000038 1.35E-07
22.10000038 2.77E-07
24.10000038 7.32E-07
26.10000038 1.26E-06
28.10000038 1.89E-06
30.10000038 2.68E-06
32.09999847 3.70E-06
34.09999847 5.00E-06
36.09999847 6.62E-06
38.09999847 8.62E-06
40.09999847 1.11E-05
42.09999847 1.40E-05
44.09999847 1.73E-05
46.09999847 2.13E-05
48.09999847 2.58E-05
50.09999847 3.09E-05
52.09999847 3.65E-05
54.09999847 4.27E-05
56.09999847 4.97E-05
58.09999847 5.75E-05
60.09999847 6.63E-05
62.09999847 7.61E-05
64.09999847 8.72E-05
66.09999847 9.95E-05
68.09999847 1.13E-04
70.09999847 1.28E-04
72.09999847 1.45E-04
74.09999847 1.63E-04
76.09999847 1.82E-04
78.09999847 2.03E-04
80.09999847 2.25E-04
82.09999847 2.49E-04
84.09999847 2.75E-04
86.09999847 3.02E-04
88.09999847 3.30E-04
90.09999847 3.61E-04
92.09999847 3.92E-04
94.09999847 4.26E-04
96.09999847 4.61E-04
98.09999847 4.97E-04
100.0999985 5.35E-04
102.0999985 5.75E-04
104.0999985 6.16E-04
106.0999985 6.59E-04
108.0999985 7.03E-04
110.0999985 7.49E-04
112.0999985 7.96E-04
114.0999985 8.44E-04
116.0999985 8.93E-04
118.0999985 9.44E-04
120.0999985 9.96E-04
122.0999985 1.05E-03
124.0999985 1.10E-03
126.0999985 1.16E-03
128.1000061 1.22E-03
130.1000061 1.27E-03
132.1000061 1.33E-03
134.1000061 1.39E-03
136.1000061 1.45E-03
138.1000061 1.51E-03
140.1000061 1.57E-03
142.1000061 1.63E-03
144.1000061 1.69E-03
146.1000061 1.75E-03
148.1000061 1.81E-03
150.1000061 1.87E-03
152.1000061 1.93E-03
154.1000061 1.99E-03
156.1000061 2.05E-03
158.1000061 2.11E-03
160.1000061 2.17E-03
162.1000061 2.23E-03
164.1000061 2.29E-03
166.1000061 2.35E-03
168.1000061 2.40E-03
170.1000061 2.46E-03
172.1000061 2.52E-03
174.1000061 2.57E-03
176.1000061 2.63E-03
178.1000061 2.68E-03
180.1000061 2.74E-03
182.1000061 2.79E-03
184.1000061 2.84E-03
186.1000061 2.90E-03
188.1000061 2.95E-03
190.1000061 3.00E-03
192.1000061 3.04E-03
194.1000061 3.09E-03
196.1000061 3.14E-03
198.1000061 3.18E-03
200.1000061 3.22E-03
202.1000061 3.26E-03
204.1000061 3.30E-03
206.1000061 3.34E-03
208.1000061 3.38E-03
210.1000061 3.41E-03
212.1000061 3.44E-03
214.1000061 3.47E-03
216.1000061 3.51E-03
218.1000061 3.53E-03
220.1000061 3.56E-03
222.1000061 3.59E-03
224.1000061 3.61E-03
226.1000061 3.64E-03
228.1000061 3.67E-03
230.1000061 3.70E-03
232.1000061 3.73E-03
234.1000061 3.75E-03
236.1000061 3.77E-03
238.1000061 3.77E-03
240.1000061 3.77E-03
242.1000061 3.77E-03
244.1000061 3.76E-03
246.1000061 3.76E-03
248.1000061 3.75E-03
250.1000061 3.74E-03
252.1000061 3.73E-03
254.1000061 3.72E-03
256.1000061 3.71E-03
258.1000061 3.70E-03
260.1000061 3.69E-03
262.1000061 3.68E-03
264.1000061 3.67E-03
266.1000061 3.65E-03
268.1000061 3.64E-03
270.1000061 3.63E-03
272.1000061 3.61E-03
274.1000061 3.60E-03
276.1000061 3.59E-03
278.1000061 3.58E-03
280.1000061 3.56E-03
282.1000061 3.55E-03
284.1000061 3.54E-03
286.1000061 3.53E-03
288.1000061 3.52E-03
290.1000061 3.50E-03
292.1000061 3.49E-03
294.1000061 3.48E-03
296.1000061 3.47E-03
298.1000061 3.46E-03
300.1000061 3.45E-03
302.1000061 3.44E-03
304.1000061 3.43E-03
306.1000061 3.42E-03
308.1000061 3.42E-03
310.1000061 3.41E-03
312.1000061 3.40E-03
314.1000061 3.38E-03
316.1000061 3.36E-03
318.1000061 3.32E-03
320.1000061 3.27E-03
322.1000061 3.19E-03
324.1000061 3.10E-03
326.1000061 2.99E-03
328.1000061 2.87E-03
330.1000061 2.75E-03
332.1000061 2.62E-03
334.1000061 2.50E-03
336.1000061 2.39E-03
338.1000061 2.29E-03
340.1000061 2.19E-03
342.1000061 2.11E-03
344.1000061 2.03E-03
346.1000061 1.96E-03
348.1000061 1.90E-03
350.1000061 1.84E-03
352.1000061 1.80E-03
354.1000061 1.75E-03
356.1000061 1.71E-03
358.1000061 1.67E-03
360.1000061 1.64E-03
362.1000061 1.61E-03
364.1000061 1.58E-03
366.1000061 1.55E-03
368.1000061 1.52E-03
370.1000061 1.49E-03
372.1000061 1.46E-03
374.1000061 1.44E-03
376.1000061 1.41E-03
378.1000061 1.39E-03
380.1000061 1.37E-03
382.1000061 1.34E-03
384.1000061 1.32E-03
386.1000061 1.30E-03
388.1000061 1.28E-03
390.1000061 1.26E-03
392.1000061 1.24E-03
394.1000061 1.22E-03
396.1000061 1.21E-03
398.1000061 1.19E-03
400.1000061 1.17E-03
402.1000061 1.15E-03
404.1000061 1.14E-03
406.1000061 1.12E-03
408.1000061 1.11E-03
410.1000061 1.09E-03
412.1000061 1.08E-03
414.1000061 1.06E-03
416.1000061 1.05E-03
418.1000061 1.04E-03
420.1000061 1.02E-03
422.1000061 1.01E-03
424.1000061 9.96E-04
426.1000061 9.83E-04
428.1000061 9.71E-04
430.1000061 9.58E-04
432.1000061 9.46E-04
434.1000061 9.35E-04
436.1000061 9.23E-04
438.1000061 9.12E-04
440.1000061 9.01E-04
442.1000061 8.90E-04
444.1000061 8.79E-04
446.1000061 8.68E-04
448.1000061 8.58E-04
450.1000061 8.48E-04
452.1000061 8.37E-04
454.1000061 8.27E-04
456.1000061 8.18E-04
458.1000061 8.08E-04
460.1000061 7.99E-04
462.1000061 7.89E-04
464.1000061 7.80E-04
466.1000061 7.71E-04
468.1000061 7.62E-04
470.1000061 7.53E-04
472.1000061 7.45E-04
474.1000061 7.36E-04
476.1000061 7.28E-04
478.1000061 7.19E-04
480.1000061 7.11E-04
482.1000061 7.03E-04
484.1000061 6.95E-04
486.1000061 6.87E-04
488.1000061 6.80E-04
490.1000061 6.72E-04
492.1000061 6.65E-04
494.1000061 6.57E-04
496.1000061 6.50E-04
498.1000061 6.43E-04
500.1000061 6.36E-04
502.1000061 6.29E-04
504.1000061 6.22E-04
506.1000061 6.15E-04
508.1000061 6.09E-04
510.1000061 6.02E-04
512.0999756 5.95E-04
514.0999756 5.89E-04
516.0999756 5.83E-04
518.0999756 5.77E-04
520.0999756 5.70E-04
522.0999756 5.64E-04
524.0999756 5.58E-04
526.0999756 5.53E-04
528.0999756 5.47E-04
530.0999756 5.42E-04
532.0999756 5.36E-04
534.0999756 5.31E-04
536.0999756 5.25E-04
538.0999756 5.20E-04
540.0999756 5.15E-04
542.0999756 5.09E-04
544.0999756 5.04E-04
546.0999756 4.99E-04
548.0999756 4.94E-04
550.0999756 4.89E-04
552.0999756 4.84E-04
554.0999756 4.79E-04
556.0999756 4.74E-04
558.0999756 4.70E-04
560.0999756 4.65E-04
562.0999756 4.60E-04
564.0999756 4.60E-04
566.0999756 4.56E-04
568.0999756 4.52E-04
570.0999756 4.47E-04
572.0999756 4.43E-04
574.0999756 4.40E-04
576.0999756 4.36E-04
578.0999756 4.32E-04
580.0999756 4.28E-04
582.0999756 4.24E-04
584.0999756 4.20E-04
586.0999756 4.17E-04
588.0999756 4.13E-04
590.0999756 4.09E-04
592.0999756 4.06E-04
594.0999756 4.02E-04
596.0999756 3.99E-04
598.0999756 3.95E-04
600.0999756 3.92E-04
602.0999756 3.88E-04
604.0999756 3.85E-04
606.0999756 3.81E-04
608.0999756 3.78E-04
610.0999756 3.74E-04
612.0999756 3.71E-04
614.0999756 3.68E-04
616.0999756 3.65E-04
618.0999756 3.61E-04
620.0999756 3.58E-04
622.0999756 3.55E-04
624.0999756 3.52E-04
626.0999756 3.49E-04
628.0999756 3.46E-04
630.0999756 3.43E-04
632.0999756 3.40E-04
634.0999756 3.37E-04
636.0999756 3.34E-04
638.0999756 3.31E-04
640.0999756 3.28E-04
642.0999756 3.25E-04
644.0999756 3.22E-04
646.0999756 3.20E-04
648.0999756 3.17E-04
650.0999756 3.14E-04
652.0999756 3.11E-04
654.0999756 3.09E-04
656.0999756 3.06E-04
658.0999756 3.03E-04
660.0999756 3.01E-04
662.0999756 2.98E-04
664.0999756 2.96E-04
666.0999756 2.93E-04
668.0999756 2.91E-04
670.0999756 2.88E-04
672.0999756 2.86E-04
674.0999756 2.83E-04
676.0999756 2.81E-04
678.0999756 2.78E-04
680.0999756 2.76E-04
682.0999756 2.74E-04
684.0999756 2.71E-04
686.0999756 2.69E-04
688.0999756 2.67E-04
690.0999756 2.65E-04
692.0999756 2.63E-04
694.0999756 2.60E-04
696.0999756 2.58E-04
698.0999756 2.56E-04
700.0999756 2.54E-04
702.0999756 2.52E-04
704.0999756 2.50E-04
706.0999756 2.48E-04
708.0999756 2.46E-04
710.0999756 2.44E-04
712.0999756 2.41E-04
714.0999756 2.39E-04
716.0999756 2.38E-04
718.0999756 2.36E-04
720.0999756 2.34E-04
722.0999756 2.32E-04
724.0999756 2.30E-04
726.0999756 2.28E-04
728.0999756 2.26E-04
730.0999756 2.24E-04
732.0999756 2.22E-04
734.0999756 2.21E-04
736.0999756 2.19E-04
738.0999756 2.17E-04
740.0999756 2.15E-04
742.0999756 2.14E-04
744.0999756 2.12E-04
746.0999756 2.10E-04
748.0999756 2.08E-04
750.0999756 2.07E-04
752.0999756 2.05E-04
754.0999756 2.03E-04
756.0999756 2.02E-04
758.0999756 2.00E-04
760.0999756 1.98E-04
762.0999756 1.97E-04
764.0999756 1.95E-04
766.0999756 1.94E-04
768.0999756 1.92E-04
770.0999756 1.91E-04
772.0999756 1.89E-04
774.0999756 1.88E-04
776.0999756 1.86E-04
778.0999756 1.85E-04
780.0999756 1.83E-04
782.0999756 1.82E-04
784.0999756 1.80E-04
786.0999756 1.79E-04
788.0999756 1.77E-04
790.0999756 1.76E-04
792.0999756 1.75E-04
794.0999756 1.73E-04
796.0999756 1.72E-04
798.0999756 1.71E-04
800.0999756 1.69E-04
802.0999756 1.68E-04
804.0999756 1.67E-04
806.0999756 1.65E-04
808.0999756 1.64E-04
810.0999756 1.63E-04
812.0999756 1.61E-04
814.0999756 1.60E-04
816.0999756 1.59E-04
818.0999756 1.58E-04
820.0999756 1.56E-04
822.0999756 1.55E-04
824.0999756 1.54E-04
826.0999756 1.53E-04
828.0999756 1.51E-04
830.0999756 1.50E-04
832.0999756 1.49E-04
834.0999756 1.48E-04
836.0999756 1.47E-04
838.0999756 1.46E-04
840.0999756 1.45E-04
842.0999756 1.43E-04
844.0999756 1.42E-04
846.0999756 1.41E-04
848.0999756 1.40E-04
850.0999756 1.39E-04
852.0999756 1.38E-04
854.0999756 1.37E-04
856.0999756 1.36E-04
858.0999756 1.35E-04
860.0999756 1.34E-04
862.0999756 1.33E-04
864.0999756 1.32E-04
866.0999756 1.31E-04
868.0999756 1.30E-04
870.0999756 1.29E-04
872.0999756 1.28E-04
874.0999756 1.27E-04
876.0999756 1.26E-04
878.0999756 1.25E-04
880.0999756 1.24E-04
882.0999756 1.23E-04
884.0999756 1.22E-04
886.0999756 1.21E-04
888.0999756 1.20E-04
890.0999756 1.19E-04
892.0999756 1.18E-04
894.0999756 1.17E-04
896.0999756 1.16E-04
898.0999756 1.15E-04
900.0999756 1.15E-04
902.0999756 1.14E-04
904.0999756 1.13E-04
906.0999756 1.12E-04
908.0999756 1.11E-04
910.0999756 1.10E-04
912.0999756 1.09E-04
914.0999756 1.09E-04
916.0999756 1.08E-04
918.0999756 1.07E-04
920.0999756 1.06E-04
922.0999756 1.05E-04
924.0999756 1.04E-04
926.0999756 1.04E-04
928.0999756 1.03E-04
930.0999756 1.02E-04
932.0999756 1.01E-04
934.0999756 1.01E-04
936.0999756 9.98E-05
938.0999756 9.90E-05
940.0999756 9.83E-05
942.0999756 9.75E-05
944.0999756 9.68E-05
946.0999756 9.61E-05
948.0999756 9.53E-05
950.0999756 9.46E-05
952.0999756 9.39E-05
954.0999756 9.32E-05
956.0999756 9.25E-05
958.0999756 9.18E-05
960.0999756 9.11E-05
962.0999756 9.04E-05
964.0999756 8.97E-05
966.0999756 8.90E-05
968.0999756 8.83E-05
970.0999756 8.77E-05
972.0999756 8.70E-05
974.0999756 8.64E-05
976.0999756 8.57E-05
978.0999756 8.51E-05
980.0999756 8.44E-05
982.0999756 8.38E-05
984.0999756 8.32E-05
986.0999756 8.26E-05
988.0999756 8.19E-05
990.0999756 8.13E-05
992.0999756 8.07E-05
994.0999756 8.02E-05
996.0999756 7.95E-05
998.0999756 7.89E-05
1000.099976 7.83E-05
1002.099976 7.78E-05
1004.099976 7.72E-05
1006.099976 7.66E-05
1008.099976 7.61E-05
1010.099976 7.55E-05
1012.099976 7.50E-05
1014.099976 7.44E-05
1016.099976 7.39E-05
1018.099976 7.33E-05
1020.099976 7.28E-05
1022.099976 7.22E-05
1024.099976 7.17E-05
1026.099976 7.12E-05
1028.099976 7.07E-05
1030.099976 7.02E-05
1032.099976 6.96E-05
1034.099976 6.91E-05
1036.099976 6.86E-05
1038.099976 6.81E-05
1040.099976 6.76E-05
1042.099976 6.71E-05
1044.099976 6.66E-05
1046.099976 6.62E-05
1048.099976 6.57E-05
1050.099976 6.52E-05
1052.099976 6.47E-05
1054.099976 6.43E-05
1056.099976 6.38E-05
1058.099976 6.33E-05
1060.099976 6.28E-05
1062.099976 6.24E-05
1064.099976 6.19E-05
1066.099976 6.15E-05
1068.099976 6.11E-05
1070.099976 6.06E-05
1072.099976 6.02E-05
1074.099976 5.97E-05
1076.099976 5.93E-05
1078.099976 5.89E-05
1080.099976 5.84E-05
1082.099976 5.80E-05
1084.099976 5.76E-05
1086.099976 5.72E-05
1088.099976 5.68E-05
1090.099976 5.64E-05
1092.099976 5.59E-05
1094.099976 5.56E-05
1096.099976 5.52E-05
1098.099976 5.47E-05
1100.099976 5.44E-05
1102.099976 5.40E-05
1104.099976 5.36E-05
1106.099976 5.32E-05
1108.099976 5.28E-05
1110.099976 5.24E-05
1112.099976 5.21E-05
1114.099976 5.17E-05
1116.099976 5.13E-05
1118.099976 5.09E-05
1120.099976 5.06E-05
1122.099976 5.02E-05
1124.099976 4.99E-05
1126.099976 4.95E-05
1128.099976 4.92E-05
1130.099976 4.88E-05
1132.099976 4.85E-05
1134.099976 4.81E-05
1136.099976 4.78E-05
1138.099976 4.74E-05
1140.099976 4.71E-05
1142.099976 4.68E-05
1144.099976 4.64E-05
1146.099976 4.61E-05
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