Christopher2222

7 years, 209 days


These are answers submitted by Christopher2222

Here's a little proc that converts a decimal into the closest fraction of a chosen 8th, 16th, 32 or whatever you choose.

closest:=proc(a,b)   #a-a decimal number, b-denominator of the fraction
  floor(a*b)/b,a;        #show closest fraction and the decimal you were trying to the closest fraction of
end proc:

closest(.391,32)  #closest to .391 in 32nd's
                                

closest(.391,64)  #closest to .391 in 64th's

                               

 

Statistically?

January 25 2016 Christopher2222 4170

I first read your question as how many times does the number 3 appear from 1 to 1000

with(StringTools);
a := convert([seq(i, i = 1 .. 1000)], string):
CountCharacterOccurrences(a, "3")
                              300

Then I read it as if we have a randomly chosen number from 1 to 1000 what is the probability of getting a 3?

An answer I don't have yet.

(1) (2) (3) ...

December 27 2015 Christopher2222 4170


u := proc (x) options operator, arrow; sin(x)+cos(x)-4*x+(alpha-4)*x end proc

proc (x) options operator, arrow; sin(x)+cos(x)-4*x+(alpha-4)*x end proc

(1)

v := proc (x) options operator, arrow; sin(x)-cos(x)+beta end proc

proc (x) options operator, arrow; sin(x)-cos(x)+beta end proc

(2)

a := int(u(t)+v(t), t = 0 .. Pi)

4+(1/2)*Pi^2*alpha-4*Pi^2+beta*Pi

(3)

b := int(u(t)-v(t), t = 0 .. Pi)

(1/2)*Pi^2*alpha-4*Pi^2-beta*Pi

(4)

solve({a, b}, {alpha, beta})

{alpha = 4*(2*Pi^2-1)/Pi^2, beta = -2/Pi}

(5)

``


Download value1.mw

maple worksheets

December 24 2015 Christopher2222 4170

You can use the maple player to view any worksheets for maple created by other people.  Specifically worksheets found in the maplesoft application center http://www.maplesoft.com/applications/index.aspx Or the maple cloud http://maplecloud.maplesoft.com/

The maple player is mainly a viewer but will also be interactive depending on the created worksheet. 

If you want to experiment on your own math problems, you need to purchase the actual Maple software.

style sets?

December 23 2015 Christopher2222 4170

The only thing I can think of is something to do with style sets and color and the information was lost somehow after it was saved.

strange

December 23 2015 Christopher2222 4170

@Mac Dude I've never seen this before.  In the file as notepad the second section Linear motion and action angle variables just before the execution I see

 for the 1-dimensional linear Hamiltonian is as follows:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L686" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L19" drawlabel="true" redirect-target="L17">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="H = Physics:-Vectors:-`+`((1/2)*px^2, (1/2)*k(s)*x^2);"

Not sure if that helps anyone locate the issue. 

Sine waves

December 22 2015 Christopher2222 4170

I renamed your data to data.csv  I could have overlapped the faster sine wave on the slow sine wave at the end but I was running out of time.  I think some parts I did could have been done easier.  The only difficulty was getting having to rerun the Fit with trial initialvalues to see what fits best.  I think it would be nice if Maple could just pick out the slow sine waves first in the FIT data as a default .. although I think it's actually harder to implement than I think.

restart; gc()

a := ImportMatrix("c:/data.csv")

a := Vector(4, {(1) = ` 492 x 2 `*Matrix, (2) = `Data Type: `*float[8], (3) = `Storage: `*rectangular, (4) = `Order: `*Fortran_order})

(1)

X := a[1 .. (), 1]:

Y := a[1 .. (), 2]:

with(plots):

f := Fit(a1*sin(b1*x+c1)+d1, X, Y, x, initialvalues = [b1 = 0.1e-1])

-HFloat(1.279019617479894)*sin(HFloat(0.0070405352989933384)*x-HFloat(0.8055632735364673))+HFloat(68.97132607645625)

(2)

p1 := pointplot(a, symbol = solidbox, color = "Maroon", symbolsize = 5)

PLOT(POINTS(Matrix(492, 2, {(1, 1) = 805.0, (1, 2) = 70.64235, (2, 1) = 806.0, (2, 2) = 71.12332, (3, 1) = 820.0, (3, 2) = 72.019, (4, 1) = 821.0, (4, 2) = 71.57186, (5, 1) = 822.0, (5, 2) = 71.35262, (6, 1) = 825.1, (6, 2) = 71.44266, (7, 1) = 829.1, (7, 2) = 71.85824, (8, 1) = 831.1, (8, 2) = 71.04946, (9, 1) = 832.1, (9, 2) = 70.53417, (10, 1) = 834.1, (10, 2) = 70.91574, (11, 1) = 835.1, (11, 2) = 70.556, (12, 1) = 836.1, (12, 2) = 71.52002, (13, 1) = 839.1, (13, 2) = 70.21059, (14, 1) = 842.1, (14, 2) = 70.57893, (15, 1) = 843.1, (15, 2) = 68.93468, (16, 1) = 845.1, (16, 2) = 69.22057, (17, 1) = 852.1, (17, 2) = 69.61363, (18, 1) = 854.1, (18, 2) = 69.29328, (19, 1) = 855.1, (19, 2) = 69.18353, (20, 1) = 857.1, (20, 2) = 68.8789, (21, 1) = 858.1, (21, 2) = 68.60026, (22, 1) = 861.1, (22, 2) = 67.76266, (23, 1) = 866.1, (23, 2) = 68.32956, (24, 1) = 872.2, (24, 2) = 68.41421, (25, 1) = 881.2, (25, 2) = 69.50089, (26, 1) = 884.2, (26, 2) = 70.41835, (27, 1) = 885.2, (27, 2) = 69.44923, (28, 1) = 886.2, (28, 2) = 70.48567, (29, 1) = 890.2, (29, 2) = 70.74023, (30, 1) = 894.2, (30, 2) = 69.98314, (31, 1) = 898.2, (31, 2) = 70.66282, (32, 1) = 900.2, (32, 2) = 71.09987, (33, 1) = 901.2, (33, 2) = 71.13735, (34, 1) = 902.2, (34, 2) = 71.24942, (35, 1) = 905.2, (35, 2) = 71.22883, (36, 1) = 907.2, (36, 2) = 70.43789, (37, 1) = 908.2, (37, 2) = 71.64002, (38, 1) = 909.2, (38, 2) = 70.36998, (39, 1) = 912.2, (39, 2) = 71.33764, (40, 1) = 916.2, (40, 2) = 71.3944, (41, 1) = 922.3, (41, 2) = 70.78209, (42, 1) = 926.3, (42, 2) = 70.66574, (43, 1) = 929.3, (43, 2) = 70.04452, (44, 1) = 932.3, (44, 2) = 70.93624, (45, 1) = 934.3, (45, 2) = 69.35836, (46, 1) = 935.3, (46, 2) = 69.85341, (47, 1) = 936.3, (47, 2) = 69.58376, (48, 1) = 939.3, (48, 2) = 69.7522, (49, 1) = 941.3, (49, 2) = 68.94491, (50, 1) = 946.3, (50, 2) = 68.44914, (51, 1) = 950.3, (51, 2) = 68.85964, (52, 1) = 952.3, (52, 2) = 68.34492, (53, 1) = 953.3, (53, 2) = 67.75651, (54, 1) = 954.3, (54, 2) = 68.85418, (55, 1) = 955.3, (55, 2) = 67.84656, (56, 1) = 956.3, (56, 2) = 68.39928, (57, 1) = 960.3, (57, 2) = 68.42724, (58, 1) = 963.3, (58, 2) = 68.04057, (59, 1) = 964.3, (59, 2) = 68.52651, (60, 1) = 967.4, (60, 2) = 68.4423, (61, 1) = 968.4, (61, 2) = 69.11189, (62, 1) = 969.4, (62, 2) = 68.89735, (63, 1) = 971.4, (63, 2) = 69.44214, (64, 1) = 972.4, (64, 2) = 67.53515, (65, 1) = 975.4, (65, 2) = 70.07555, (66, 1) = 976.4, (66, 2) = 68.65429, (67, 1) = 978.4, (67, 2) = 69.59906, (68, 1) = 979.4, (68, 2) = 69.43326, (69, 1) = 981.4, (69, 2) = 68.33666, (70, 1) = 982.4, (70, 2) = 69.45976, (71, 1) = 984.4, (71, 2) = 69.45696, (72, 1) = 986.4, (72, 2) = 69.18655, (73, 1) = 989.4, (73, 2) = 69.87611, (74, 1) = 991.4, (74, 2) = 70.9015, (75, 1) = 993.4, (75, 2) = 70.54297, (76, 1) = 994.4, (76, 2) = 69.82811, (77, 1) = 999.4, (77, 2) = 69.88962, (78, 1) = 1000.4, (78, 2) = 71.17387, (79, 1) = 1001.4, (79, 2) = 70.83305, (80, 1) = 1002.4, (80, 2) = 70.48692, (81, 1) = 1004.4, (81, 2) = 69.95182, (82, 1) = 1006.4, (82, 2) = 70.06641, (83, 1) = 1011.4, (83, 2) = 70.45492, (84, 1) = 1015.5, (84, 2) = 69.17451, (85, 1) = 1017.5, (85, 2) = 70.14617, (86, 1) = 1018.5, (86, 2) = 70.60167, (87, 1) = 1019.5, (87, 2) = 69.82139, (88, 1) = 1022.5, (88, 2) = 68.27602, (89, 1) = 1024.5, (89, 2) = 68.01638, (90, 1) = 1031.5, (90, 2) = 67.89075, (91, 1) = 1032.5, (91, 2) = 67.38016, (92, 1) = 1033.5, (92, 2) = 68.33611, (93, 1) = 1036.5, (93, 2) = 66.61066, (94, 1) = 1039.5, (94, 2) = 66.6887, (95, 1) = 1042.5, (95, 2) = 66.89091, (96, 1) = 1044.5, (96, 2) = 67.296, (97, 1) = 1048.5, (97, 2) = 66.88174, (98, 1) = 1050.5, (98, 2) = 67.33551, (99, 1) = 1052.5, (99, 2) = 67.32892, (100, 1) = 1053.5, (100, 2) = 66.635, (101, 1) = 1055.5, (101, 2) = 67.58001, (102, 1) = 1056.5, (102, 2) = 66.56222, (103, 1) = 1057.5, (103, 2) = 67.03546, (104, 1) = 1061.5, (104, 2) = 67.64141, (105, 1) = 1062.5, (105, 2) = 67.90811, (106, 1) = 1063.5, (106, 2) = 67.52784, (107, 1) = 1064.6, (107, 2) = 68.03424, (108, 1) = 1072.6, (108, 2) = 68.37907, (109, 1) = 1073.6, (109, 2) = 68.45493, (110, 1) = 1078.6, (110, 2) = 69.69207, (111, 1) = 1079.6, (111, 2) = 69.42561, (112, 1) = 1083.6, (112, 2) = 69.97448, (113, 1) = 1084.6, (113, 2) = 70.25471, (114, 1) = 1089.6, (114, 2) = 69.03651, (115, 1) = 1090.6, (115, 2) = 69.46482, (116, 1) = 1094.6, (116, 2) = 69.49623, (117, 1) = 1100.6, (117, 2) = 69.36298, (118, 1) = 1101.6, (118, 2) = 68.53184, (119, 1) = 1103.6, (119, 2) = 68.79357, (120, 1) = 1105.6, (120, 2) = 68.67207, (121, 1) = 1107.6, (121, 2) = 68.98133, (122, 1) = 1111.7, (122, 2) = 67.60672, (123, 1) = 1116.7, (123, 2) = 67.63676, (124, 1) = 1122.7, (124, 2) = 66.67092, (125, 1) = 1123.7, (125, 2) = 66.33433, (126, 1) = 1130.7, (126, 2) = 65.60946, (127, 1) = 1137.7, (127, 2) = 66.46196, (128, 1) = 1138.7, (128, 2) = 65.44633, (129, 1) = 1141.7, (129, 2) = 66.10184, (130, 1) = 1147.7, (130, 2) = 66.88225, (131, 1) = 1148.7, (131, 2) = 65.83312, (132, 1) = 1151.7, (132, 2) = 66.75737, (133, 1) = 1153.7, (133, 2) = 66.79005, (134, 1) = 1159.8, (134, 2) = 66.80069, (135, 1) = 1162.8, (135, 2) = 67.16159, (136, 1) = 1163.8, (136, 2) = 67.09254, (137, 1) = 1164.8, (137, 2) = 68.12015, (138, 1) = 1165.8, (138, 2) = 68.13882, (139, 1) = 1166.8, (139, 2) = 67.45379, (140, 1) = 1167.8, (140, 2) = 68.32858, (141, 1) = 1169.8, (141, 2) = 67.74837, (142, 1) = 1177.8, (142, 2) = 68.88719, (143, 1) = 1178.8, (143, 2) = 67.82569, (144, 1) = 1179.8, (144, 2) = 68.89969, (145, 1) = 1182.8, (145, 2) = 69.24782, (146, 1) = 1183.8, (146, 2) = 69.60421, (147, 1) = 1185.8, (147, 2) = 68.62871, (148, 1) = 1189.8, (148, 2) = 69.05922, (149, 1) = 1191.8, (149, 2) = 69.8407, (150, 1) = 1192.8, (150, 2) = 69.38913, (151, 1) = 1194.8, (151, 2) = 68.42855, (152, 1) = 1196.8, (152, 2) = 68.45602, (153, 1) = 1197.8, (153, 2) = 67.84527, (154, 1) = 1198.8, (154, 2) = 67.80686, (155, 1) = 1204.8, (155, 2) = 68.18188, (156, 1) = 1208.9, (156, 2) = 67.53034, (157, 1) = 1210.9, (157, 2) = 68.78968, (158, 1) = 1212.9, (158, 2) = 67.1518, (159, 1) = 1214.9, (159, 2) = 66.42099, (160, 1) = 1215.9, (160, 2) = 67.0171, (161, 1) = 1222.9, (161, 2) = 66.35345, (162, 1) = 1223.9, (162, 2) = 66.156, (163, 1) = 1225.9, (163, 2) = 66.24271, (164, 1) = 1227.9, (164, 2) = 65.2002, (165, 1) = 1228.9, (165, 2) = 65.80634, (166, 1) = 1230.9, (166, 2) = 66.8731, (167, 1) = 1233.9, (167, 2) = 66.64139, (168, 1) = 1234.9, (168, 2) = 66.62899, (169, 1) = 1240.9, (169, 2) = 67.44317, (170, 1) = 1242.9, (170, 2) = 67.36788, (171, 1) = 1243.9, (171, 2) = 67.02907, (172, 1) = 1246.9, (172, 2) = 68.40342, (173, 1) = 1247.9, (173, 2) = 67.34595, (174, 1) = 1248.9, (174, 2) = 67.70525, (175, 1) = 1252.9, (175, 2) = 68.06025, (176, 1) = 1253.9, (176, 2) = 68.17215, (177, 1) = 1254.9, (177, 2) = 67.43197, (178, 1) = 1256.0, (178, 2) = 68.93704, (179, 1) = 1257.0, (179, 2) = 69.48356, (180, 1) = 1258.0, (180, 2) = 68.76579, (181, 1) = 1263.0, (181, 2) = 69.30835, (182, 1) = 1264.0, (182, 2) = 69.69701, (183, 1) = 1266.0, (183, 2) = 69.84085, (184, 1) = 1267.0, (184, 2) = 69.32747, (185, 1) = 1271.0, (185, 2) = 69.77735, (186, 1) = 1272.0, (186, 2) = 68.94764, (187, 1) = 1274.0, (187, 2) = 69.3839, (188, 1) = 1277.0, (188, 2) = 69.66475, (189, 1) = 1279.0, (189, 2) = 69.68361, (190, 1) = 1281.0, (190, 2) = 69.90509, (191, 1) = 1284.0, (191, 2) = 69.47801, (192, 1) = 1287.0, (192, 2) = 68.65097, (193, 1) = 1288.0, (193, 2) = 69.64337, (194, 1) = 1291.0, (194, 2) = 68.50649, (195, 1) = 1294.0, (195, 2) = 67.902, (196, 1) = 1297.0, (196, 2) = 68.33352, (197, 1) = 1299.0, (197, 2) = 68.74044, (198, 1) = 1301.0, (198, 2) = 68.28704, (199, 1) = 1305.1, (199, 2) = 67.38176, (200, 1) = 1306.1, (200, 2) = 67.13235, (201, 1) = 1309.1, (201, 2) = 66.85861, (202, 1) = 1311.1, (202, 2) = 66.73374, (203, 1) = 1312.1, (203, 2) = 67.69274, (204, 1) = 1314.1, (204, 2) = 67.51578, (205, 1) = 1315.1, (205, 2) = 65.94656, (206, 1) = 1316.1, (206, 2) = 67.36132, (207, 1) = 1318.1, (207, 2) = 68.14639, (208, 1) = 1320.1, (208, 2) = 66.16652, (209, 1) = 1323.1, (209, 2) = 66.2083, (210, 1) = 1326.1, (210, 2) = 66.73809, (211, 1) = 1327.1, (211, 2) = 67.0658, (212, 1) = 1329.1, (212, 2) = 67.07977, (213, 1) = 1330.1, (213, 2) = 66.79289, (214, 1) = 1331.1, (214, 2) = 66.44748, (215, 1) = 1333.1, (215, 2) = 66.8813, (216, 1) = 1335.1, (216, 2) = 68.26376, (217, 1) = 1336.1, (217, 2) = 66.89875, (218, 1) = 1337.1, (218, 2) = 68.55491, (219, 1) = 1343.1, (219, 2) = 69.20254, (220, 1) = 1345.1, (220, 2) = 69.04, (221, 1) = 1346.1, (221, 2) = 68.60038, (222, 1) = 1347.1, (222, 2) = 68.97452, (223, 1) = 1351.1, (223, 2) = 69.24909, (224, 1) = 1363.2, (224, 2) = 70.42647, (225, 1) = 1364.2, (225, 2) = 70.01255, (226, 1) = 1365.2, (226, 2) = 69.24336, (227, 1) = 1367.2, (227, 2) = 70.55562, (228, 1) = 1372.2, (228, 2) = 69.18331, (229, 1) = 1377.2, (229, 2) = 69.23453, (230, 1) = 1382.2, (230, 2) = 70.38576, (231, 1) = 1384.2, (231, 2) = 68.62298, (232, 1) = 1386.2, (232, 2) = 69.36642, (233, 1) = 1388.2, (233, 2) = 67.24725, (234, 1) = 1389.2, (234, 2) = 67.38885, (235, 1) = 1391.2, (235, 2) = 68.39908, (236, 1) = 1397.2, (236, 2) = 67.81628, (237, 1) = 1400.2, (237, 2) = 67.08995, (238, 1) = 1401.3, (238, 2) = 67.43975, (239, 1) = 1403.3, (239, 2) = 66.42131, (240, 1) = 1404.3, (240, 2) = 67.53295, (241, 1) = 1406.3, (241, 2) = 66.38988, (242, 1) = 1407.3, (242, 2) = 67.04946, (243, 1) = 1409.3, (243, 2) = 66.46978, (244, 1) = 1413.3, (244, 2) = 67.25823, (245, 1) = 1415.3, (245, 2) = 66.76885, (246, 1) = 1420.3, (246, 2) = 67.44039, (247, 1) = 1421.3, (247, 2) = 68.50788, (248, 1) = 1423.3, (248, 2) = 67.24262, (249, 1) = 1426.3, (249, 2) = 68.83898, (250, 1) = 1427.3, (250, 2) = 68.33848, (251, 1) = 1428.3, (251, 2) = 67.97196, (252, 1) = 1430.3, (252, 2) = 68.91304, (253, 1) = 1435.3, (253, 2) = 68.83522, (254, 1) = 1436.3, (254, 2) = 69.41114, (255, 1) = 1437.3, (255, 2) = 69.11694, (256, 1) = 1438.3, (256, 2) = 69.72709, (257, 1) = 1445.3, (257, 2) = 69.35139, (258, 1) = 1446.3, (258, 2) = 70.80136, (259, 1) = 1447.3, (259, 2) = 70.24004, (260, 1) = 1448.3, (260, 2) = 69.39938, (261, 1) = 1452.4, (261, 2) = 70.14292, (262, 1) = 1453.4, (262, 2) = 70.05517, (263, 1) = 1456.4, (263, 2) = 70.21517, (264, 1) = 1457.4, (264, 2) = 69.61475, (265, 1) = 1459.4, (265, 2) = 70.55088, (266, 1) = 1461.4, (266, 2) = 69.9964, (267, 1) = 1462.4, (267, 2) = 69.56434, (268, 1) = 1472.4, (268, 2) = 69.64262, (269, 1) = 1473.4, (269, 2) = 69.3917, (270, 1) = 1476.4, (270, 2) = 69.19566, (271, 1) = 1477.4, (271, 2) = 69.60789, (272, 1) = 1483.4, (272, 2) = 68.56008, (273, 1) = 1487.4, (273, 2) = 68.4946, (274, 1) = 1490.4, (274, 2) = 67.65857, (275, 1) = 1493.4, (275, 2) = 67.29949, (276, 1) = 1494.4, (276, 2) = 67.78047, (277, 1) = 1496.5, (277, 2) = 66.79528, (278, 1) = 1497.5, (278, 2) = 67.58799, (279, 1) = 1500.5, (279, 2) = 67.13775, (280, 1) = 1502.5, (280, 2) = 68.37346, (281, 1) = 1505.5, (281, 2) = 68.152, (282, 1) = 1506.5, (282, 2) = 67.98611, (283, 1) = 1509.5, (283, 2) = 67.85832, (284, 1) = 1510.5, (284, 2) = 69.00159, (285, 1) = 1513.5, (285, 2) = 68.77115, (286, 1) = 1514.5, (286, 2) = 68.2196, (287, 1) = 1515.5, (287, 2) = 68.04853, (288, 1) = 1516.5, (288, 2) = 68.63462, (289, 1) = 1517.5, (289, 2) = 67.97141, (290, 1) = 1521.5, (290, 2) = 68.5455, (291, 1) = 1523.5, (291, 2) = 69.55578, (292, 1) = 1524.5, (292, 2) = 68.95922, (293, 1) = 1525.5, (293, 2) = 69.52802, (294, 1) = 1533.5, (294, 2) = 70.96945, (295, 1) = 1536.5, (295, 2) = 70.09512, (296, 1) = 1538.5, (296, 2) = 71.34351, (297, 1) = 1540.5, (297, 2) = 70.31495, (298, 1) = 1542.5, (298, 2) = 70.77243, (299, 1) = 1543.5, (299, 2) = 70.94061, (300, 1) = 1545.6, (300, 2) = 70.43302, (301, 1) = 1546.6, (301, 2) = 70.69605, (302, 1) = 1547.6, (302, 2) = 71.41294, (303, 1) = 1548.6, (303, 2) = 70.49127, (304, 1) = 1554.6, (304, 2) = 70.49661, (305, 1) = 1555.6, (305, 2) = 71.61773, (306, 1) = 1561.6, (306, 2) = 71.20122, (307, 1) = 1562.6, (307, 2) = 68.86103, (308, 1) = 1565.6, (308, 2) = 70.73444, (309, 1) = 1567.6, (309, 2) = 69.4333, (310, 1) = 1568.6, (310, 2) = 69.51955, (311, 1) = 1569.6, (311, 2) = 69.5905, (312, 1) = 1571.6, (312, 2) = 70.10415, (313, 1) = 1572.6, (313, 2) = 70.54443, (314, 1) = 1573.6, (314, 2) = 69.31279, (315, 1) = 1576.6, (315, 2) = 69.12417, (316, 1) = 1578.6, (316, 2) = 69.72039, (317, 1) = 1580.6, (317, 2) = 69.09164, (318, 1) = 1584.6, (318, 2) = 69.59525, (319, 1) = 1586.6, (319, 2) = 69.06851, (320, 1) = 1587.6, (320, 2) = 68.4833, (321, 1) = 1588.6, (321, 2) = 68.18324, (322, 1) = 1590.6, (322, 2) = 69.82815, (323, 1) = 1594.7, (323, 2) = 68.69749, (324, 1) = 1596.7, (324, 2) = 68.86138, (325, 1) = 1600.7, (325, 2) = 68.93687, (326, 1) = 1601.7, (326, 2) = 69.51385, (327, 1) = 1603.7, (327, 2) = 69.88134, (328, 1) = 1605.7, (328, 2) = 69.32497, (329, 1) = 1608.7, (329, 2) = 68.95019, (330, 1) = 1611.7, (330, 2) = 69.42364, (331, 1) = 1612.7, (331, 2) = 70.70416, (332, 1) = 1613.7, (332, 2) = 70.11404, (333, 1) = 1614.7, (333, 2) = 70.55308, (334, 1) = 1615.7, (334, 2) = 70.39721, (335, 1) = 1617.7, (335, 2) = 70.28964, (336, 1) = 1621.7, (336, 2) = 70.77077, (337, 1) = 1623.7, (337, 2) = 71.6635, (338, 1) = 1626.7, (338, 2) = 71.85681, (339, 1) = 1628.7, (339, 2) = 71.37901, (340, 1) = 1629.7, (340, 2) = 72.6981, (341, 1) = 1630.7, (341, 2) = 71.48998, (342, 1) = 1632.7, (342, 2) = 71.3186, (343, 1) = 1639.7, (343, 2) = 72.07957, (344, 1) = 1640.8, (344, 2) = 71.47513, (345, 1) = 1642.8, (345, 2) = 72.51555, (346, 1) = 1644.8, (346, 2) = 72.56269, (347, 1) = 1648.8, (347, 2) = 71.79849, (348, 1) = 1652.8, (348, 2) = 70.44267, (349, 1) = 1654.8, (349, 2) = 71.48784, (350, 1) = 1656.8, (350, 2) = 71.3672, (351, 1) = 1657.8, (351, 2) = 71.23603, (352, 1) = 1658.8, (352, 2) = 70.98683, (353, 1) = 1662.8, (353, 2) = 69.6501, (354, 1) = 1665.8, (354, 2) = 70.58737, (355, 1) = 1670.8, (355, 2) = 68.88588, (356, 1) = 1673.8, (356, 2) = 69.95979, (357, 1) = 1676.8, (357, 2) = 68.70632, (358, 1) = 1683.8, (358, 2) = 68.25063, (359, 1) = 1684.8, (359, 2) = 68.90199, (360, 1) = 1688.8, (360, 2) = 69.6921, (361, 1) = 1689.9, (361, 2) = 69.28394, (362, 1) = 1690.9, (362, 2) = 68.5356, (363, 1) = 1691.9, (363, 2) = 68.92934, (364, 1) = 1692.9, (364, 2) = 69.86224, (365, 1) = 1693.9, (365, 2) = 69.767, (366, 1) = 1698.9, (366, 2) = 68.99077, (367, 1) = 1700.9, (367, 2) = 70.71281, (368, 1) = 1702.9, (368, 2) = 68.64648, (369, 1) = 1704.9, (369, 2) = 69.98413, (370, 1) = 1705.9, (370, 2) = 70.46813, (371, 1) = 1710.9, (371, 2) = 70.92041, (372, 1) = 1711.9, (372, 2) = 70.08061, (373, 1) = 1712.9, (373, 2) = 70.12771, (374, 1) = 1714.9, (374, 2) = 71.07312, (375, 1) = 1716.9, (375, 2) = 71.31853, (376, 1) = 1717.9, (376, 2) = 71.68748, (377, 1) = 1718.9, (377, 2) = 70.40748, (378, 1) = 1720.9, (378, 2) = 72.03627, (379, 1) = 1722.9, (379, 2) = 71.48425, (380, 1) = 1723.9, (380, 2) = 71.76735, (381, 1) = 1724.9, (381, 2) = 72.06427, (382, 1) = 1725.9, (382, 2) = 71.64068, (383, 1) = 1726.9, (383, 2) = 72.4844, (384, 1) = 1730.9, (384, 2) = 71.48833, (385, 1) = 1731.9, (385, 2) = 72.02167, (386, 1) = 1732.9, (386, 2) = 70.61058, (387, 1) = 1734.9, (387, 2) = 70.76892, (388, 1) = 1741.0, (388, 2) = 71.3918, (389, 1) = 1742.0, (389, 2) = 70.66244, (390, 1) = 1743.0, (390, 2) = 70.07904, (391, 1) = 1744.0, (391, 2) = 70.8103, (392, 1) = 1749.0, (392, 2) = 69.71893, (393, 1) = 1750.0, (393, 2) = 69.24487, (394, 1) = 1751.0, (394, 2) = 69.68996, (395, 1) = 1752.0, (395, 2) = 70.47555, (396, 1) = 1753.0, (396, 2) = 70.00669, (397, 1) = 1765.0, (397, 2) = 68.69135, (398, 1) = 1767.0, (398, 2) = 68.41133, (399, 1) = 1769.0, (399, 2) = 67.24671, (400, 1) = 1772.0, (400, 2) = 68.39164, (401, 1) = 1774.0, (401, 2) = 68.31894, (402, 1) = 1778.0, (402, 2) = 68.32506, (403, 1) = 1780.0, (403, 2) = 67.77334, (404, 1) = 1782.0, (404, 2) = 68.70562, (405, 1) = 1785.0, (405, 2) = 68.909, (406, 1) = 1786.1, (406, 2) = 68.2428, (407, 1) = 1787.1, (407, 2) = 68.75524, (408, 1) = 1790.1, (408, 2) = 68.83179, (409, 1) = 1802.1, (409, 2) = 69.78773, (410, 1) = 1806.1, (410, 2) = 70.08693, (411, 1) = 1808.1, (411, 2) = 69.79671, (412, 1) = 1809.1, (412, 2) = 69.7887, (413, 1) = 1812.1, (413, 2) = 70.144, (414, 1) = 1813.1, (414, 2) = 70.36458, (415, 1) = 1814.1, (415, 2) = 70.16271, (416, 1) = 1815.1, (416, 2) = 69.78687, (417, 1) = 1816.1, (417, 2) = 71.08387, (418, 1) = 1817.1, (418, 2) = 70.27893, (419, 1) = 1818.1, (419, 2) = 70.34092, (420, 1) = 1822.1, (420, 2) = 70.55466, (421, 1) = 1823.1, (421, 2) = 70.38511, (422, 1) = 1825.1, (422, 2) = 70.18021, (423, 1) = 1830.1, (423, 2) = 69.9294, (424, 1) = 1834.2, (424, 2) = 69.10968, (425, 1) = 1835.2, (425, 2) = 68.97221, (426, 1) = 1840.2, (426, 2) = 68.60895, (427, 1) = 1843.2, (427, 2) = 67.74868, (428, 1) = 1846.2, (428, 2) = 68.48512, (429, 1) = 1847.2, (429, 2) = 68.8654, (430, 1) = 1850.2, (430, 2) = 67.66783, (431, 1) = 1851.2, (431, 2) = 67.76227, (432, 1) = 1854.2, (432, 2) = 68.31906, (433, 1) = 1856.2, (433, 2) = 66.76915, (434, 1) = 1861.2, (434, 2) = 66.19855, (435, 1) = 1863.2, (435, 2) = 67.80811, (436, 1) = 1868.2, (436, 2) = 67.04537, (437, 1) = 1869.2, (437, 2) = 67.86704, (438, 1) = 1870.2, (438, 2) = 67.21812, (439, 1) = 1872.2, (439, 2) = 66.98633, (440, 1) = 1877.2, (440, 2) = 67.75681, (441, 1) = 1881.2, (441, 2) = 68.56666, (442, 1) = 1885.3, (442, 2) = 68.87386, (443, 1) = 1891.3, (443, 2) = 68.80924, (444, 1) = 1893.3, (444, 2) = 70.56466, (445, 1) = 1895.3, (445, 2) = 69.21298, (446, 1) = 1896.3, (446, 2) = 69.49911, (447, 1) = 1901.3, (447, 2) = 68.65311, (448, 1) = 1902.3, (448, 2) = 70.24675, (449, 1) = 1904.3, (449, 2) = 70.64037, (450, 1) = 1905.3, (450, 2) = 69.3638, (451, 1) = 1907.3, (451, 2) = 69.57813, (452, 1) = 1909.3, (452, 2) = 70.23072, (453, 1) = 1910.3, (453, 2) = 70.76377, (454, 1) = 1911.3, (454, 2) = 70.88643, (455, 1) = 1912.3, (455, 2) = 70.02207, (456, 1) = 1914.3, (456, 2) = 70.74925, (457, 1) = 1915.3, (457, 2) = 70.51436, (458, 1) = 1916.3, (458, 2) = 69.37364, (459, 1) = 1917.3, (459, 2) = 69.72749, (460, 1) = 1918.3, (460, 2) = 69.38875, (461, 1) = 1920.3, (461, 2) = 70.77264, (462, 1) = 1921.3, (462, 2) = 68.99458, (463, 1) = 1928.3, (463, 2) = 70.21765, (464, 1) = 1929.3, (464, 2) = 68.72843, (465, 1) = 1934.4, (465, 2) = 69.03182, (466, 1) = 1935.4, (466, 2) = 68.50996, (467, 1) = 1936.4, (467, 2) = 67.81794, (468, 1) = 1940.4, (468, 2) = 67.31003, (469, 1) = 1942.4, (469, 2) = 67.815, (470, 1) = 1948.4, (470, 2) = 66.54924, (471, 1) = 1949.4, (471, 2) = 66.72716, (472, 1) = 1952.4, (472, 2) = 68.26178, (473, 1) = 1953.4, (473, 2) = 67.72052, (474, 1) = 1954.4, (474, 2) = 67.69083, (475, 1) = 1955.4, (475, 2) = 67.08797, (476, 1) = 1956.4, (476, 2) = 67.33195, (477, 1) = 1963.4, (477, 2) = 68.41889, (478, 1) = 1964.4, (478, 2) = 68.10686, (479, 1) = 1965.4, (479, 2) = 68.60242, (480, 1) = 1966.4, (480, 2) = 67.73227, (481, 1) = 1968.4, (481, 2) = 68.10173, (482, 1) = 1972.4, (482, 2) = 68.56994, (483, 1) = 1975.4, (483, 2) = 68.22116, (484, 1) = 1976.4, (484, 2) = 69.44812, (485, 1) = 1977.5, (485, 2) = 69.14032, (486, 1) = 1980.5, (486, 2) = 69.63596, (487, 1) = 1981.5, (487, 2) = 69.43328, (488, 1) = 1984.5, (488, 2) = 68.62391, (489, 1) = 1988.5, (489, 2) = 69.98072, (490, 1) = 1989.5, (490, 2) = 69.49939, (491, 1) = 1990.5, (491, 2) = 69.46189, (492, 1) = 1998.5, (492, 2) = 70.44406}, datatype = float[8])), COLOUR(RGB, .50196078, 0., 0.), SYMBOL(_SOLIDBOX, 5))

(3)

p2 := plot(f, x = 800 .. 2000, color = blue)

PLOT(CURVES(Matrix(200, 2, {(1, 1) = 800.0, (1, 2) = 70.24197422516124, (2, 1) = 806.3091260301508, (2, 2) = 70.23423341154607, (3, 1) = 811.7986628542714, (3, 2) = 70.22547052637555, (4, 1) = 817.9722211457287, (4, 2) = 70.21337868827537, (5, 1) = 824.1867017889447, (5, 2) = 70.1988372360129, (6, 1) = 830.3716460904523, (6, 2) = 70.18203206181987, (7, 1) = 836.1058811859297, (7, 2) = 70.16440018965794, (8, 1) = 842.0433494874371, (8, 2) = 70.14409487344815, (9, 1) = 848.1838876984924, (9, 2) = 70.1209401229664, (10, 1) = 854.3047331256281, (10, 2) = 70.09572153663629, (11, 1) = 860.6007749949749, (11, 2) = 70.06760333692625, (12, 1) = 866.1463321005025, (12, 2) = 70.04105092795145, (13, 1) = 872.3893159396985, (13, 2) = 70.00921036251175, (14, 1) = 878.6579340703518, (14, 2) = 69.97522196323912, (15, 1) = 884.6989091859297, (15, 2) = 69.94061714325639, (16, 1) = 890.1846933266331, (16, 2) = 69.90767207462027, (17, 1) = 896.7078212663316, (17, 2) = 69.86668366523566, (18, 1) = 902.2337662713568, (18, 2) = 69.83048026940841, (19, 1) = 908.6617539899497, (19, 2) = 69.78673497097765, (20, 1) = 914.3516123015075, (20, 2) = 69.74661684139835, (21, 1) = 920.5942886633165, (21, 2) = 69.70117218078197, (22, 1) = 926.5387928241206, (22, 2) = 69.65658651558161, (23, 1) = 932.7412592964824, (23, 2) = 69.60878788127877, (24, 1) = 938.437059718593, (24, 2) = 69.56382104174575, (25, 1) = 944.5807499497487, (25, 2) = 69.51425239290909, (26, 1) = 950.9623174472362, (26, 2) = 69.46169038862625, (27, 1) = 956.5174907135679, (27, 2) = 69.4151254605855, (28, 1) = 962.5172300301508, (28, 2) = 69.36407377041212, (29, 1) = 968.7155478190955, (29, 2) = 69.31059758604692, (30, 1) = 974.7793925226131, (30, 2) = 69.25765571666327, (31, 1) = 980.6464740703518, (31, 2) = 69.20593405345066, (32, 1) = 987.1608678190955, (32, 2) = 69.14804085967826, (33, 1) = 993.0143403417085, (33, 2) = 69.09570070044676, (34, 1) = 999.2641716582915, (34, 2) = 69.03958548678207, (35, 1) = 1004.9274477386934, (35, 2) = 68.98861970066774, (36, 1) = 1011.1189043618091, (36, 2) = 68.93287206302813, (37, 1) = 1016.9445825326633, (37, 2) = 68.88048268890529, (38, 1) = 1023.0340948140704, (38, 2) = 68.82588545864546, (39, 1) = 1028.9877061306534, (39, 2) = 68.77276438384425, (40, 1) = 1035.2205854271356, (40, 2) = 68.71752684701134, (41, 1) = 1041.2235889849246, (41, 2) = 68.66478726720345, (42, 1) = 1047.362527155779, (42, 2) = 68.61142037713454, (43, 1) = 1053.4506318190956, (43, 2) = 68.55915902774952, (44, 1) = 1059.044967718593, (44, 2) = 68.51180153981696, (45, 1) = 1065.4567079798994, (45, 2) = 68.45840548235118, (46, 1) = 1071.1914449045225, (46, 2) = 68.41152957640854, (47, 1) = 1077.3058705728645, (47, 2) = 68.36255698277674, (48, 1) = 1083.158156120603, (48, 2) = 68.31673926209729, (49, 1) = 1089.656367115578, (49, 2) = 68.2671697249374, (50, 1) = 1095.283340361809, (50, 2) = 68.22543300441696, (51, 1) = 1101.6700053266331, (51, 2) = 68.17948318720101, (52, 1) = 1107.4907571055278, (52, 2) = 68.13899686743649, (53, 1) = 1113.8577447839198, (53, 2) = 68.09631413062795, (54, 1) = 1119.3513783718593, (54, 2) = 68.06089591748447, (55, 1) = 1125.6079857688442, (55, 2) = 68.02222027295116, (56, 1) = 1131.651559638191, (56, 2) = 67.9866090903834, (57, 1) = 1137.6911853869346, (57, 2) = 67.95280197505126, (58, 1) = 1143.708592442211, (58, 2) = 67.92095036391886, (59, 1) = 1149.48943680402, (59, 2) = 67.89212555522352, (60, 1) = 1155.7386826532663, (60, 2) = 67.86297712907323, (61, 1) = 1161.6946670753769, (61, 2) = 67.83719237136154, (62, 1) = 1167.9630602211055, (62, 2) = 67.81220953341354, (63, 1) = 1173.637465487437, (63, 2) = 67.79153935534356, (64, 1) = 1179.908745567839, (64, 2) = 67.77088644313903, (65, 1) = 1185.915539075377, (65, 2) = 67.75329800240151, (66, 1) = 1191.907711879397, (66, 2) = 67.7379225610273, (67, 1) = 1198.16655959799, (67, 2) = 67.72420686789917, (68, 1) = 1203.9311868341708, (68, 2) = 67.7137156775805, (69, 1) = 1209.8349536482413, (69, 2) = 67.70511826813862, (70, 1) = 1216.3534137085428, (70, 2) = 67.69816697437909, (71, 1) = 1222.2553453668343, (71, 2) = 67.69418554986247, (72, 1) = 1228.2911759798994, (72, 2) = 67.69239426292796, (73, 1) = 1234.429460241206, (73, 2) = 67.69294093117091, (74, 1) = 1240.0717379497487, (74, 2) = 67.69554922459551, (75, 1) = 1246.086223276382, (75, 2) = 67.70054596145376, (76, 1) = 1252.0549259497488, (76, 2) = 67.70775706018748, (77, 1) = 1258.439582512563, (77, 2) = 67.71793995971801, (78, 1) = 1264.0737653467336, (78, 2) = 67.72902994625815, (79, 1) = 1270.5744427336683, (79, 2) = 67.74425274949479, (80, 1) = 1276.4408028944724, (80, 2) = 67.7601971805112, (81, 1) = 1282.2452596381909, (81, 2) = 67.77800663082142, (82, 1) = 1288.4869153366835, (82, 2) = 67.79938004083674, (83, 1) = 1294.7538198190955, (83, 2) = 67.82311641226696, (84, 1) = 1300.4557749748744, (84, 2) = 67.84665610364543, (85, 1) = 1306.510998070352, (85, 2) = 67.87363748331411, (86, 1) = 1312.4203040000002, (86, 2) = 67.90189228403828, (87, 1) = 1318.8260539698492, (87, 2) = 67.93460979953929, (88, 1) = 1324.3688086834172, (88, 2) = 67.96462347208168, (89, 1) = 1330.7348639798995, (89, 2) = 68.00098368667612, (90, 1) = 1336.7192906331659, (90, 2) = 68.03694279911201, (91, 1) = 1342.6459142512563, (91, 2) = 68.07418935045607, (92, 1) = 1348.5772525427137, (92, 2) = 68.11302916460876, (93, 1) = 1354.6268421507539, (93, 2) = 68.15418444096402, (94, 1) = 1361.0393057889446, (94, 2) = 68.19942485232231, (95, 1) = 1366.9189070150755, (95, 2) = 68.24229060783338, (96, 1) = 1372.72282840201, (96, 2) = 68.28583000545048, (97, 1) = 1378.927124844221, (97, 2) = 68.33363662035586, (98, 1) = 1385.117915075377, (98, 2) = 68.382551830668, (99, 1) = 1390.6745169447236, (99, 2) = 68.42741126828759, (100, 1) = 1397.2567125628143, (100, 2) = 68.48162192977662, (101, 1) = 1402.7643886231156, (101, 2) = 68.52779586359875, (102, 1) = 1409.2062344120604, (102, 2) = 68.5826425068683, (103, 1) = 1415.354352160804, (103, 2) = 68.63573546920139, (104, 1) = 1420.8438889849247, (104, 2) = 68.68367546957025, (105, 1) = 1427.017447276382, (105, 2) = 68.73809870070907, (106, 1) = 1433.231927919598, (106, 2) = 68.79332739191192, (107, 1) = 1439.4168722211057, (107, 2) = 68.84863203000859, (108, 1) = 1445.151107316583, (108, 2) = 68.90011659797487, (109, 1) = 1451.0885756180905, (109, 2) = 68.95354713075287, (110, 1) = 1457.2291138291457, (110, 2) = 69.0088366196526, (111, 1) = 1463.3499592562814, (111, 2) = 69.06387914246278, (112, 1) = 1469.6460011256281, (112, 2) = 69.12031682542876, (113, 1) = 1475.1915582311558, (113, 2) = 69.16978835232835, (114, 1) = 1481.4345420703517, (114, 2) = 69.22511585267962, (115, 1) = 1487.7031602010052, (115, 2) = 69.28017713317885, (116, 1) = 1493.744135316583, (116, 2) = 69.33267096917912, (117, 1) = 1499.2299194572865, (117, 2) = 69.37977668097342, (118, 1) = 1505.753047396985, (118, 2) = 69.43499130807737, (119, 1) = 1511.27899240201, (119, 2) = 69.48100491030245, (120, 1) = 1517.706980120603, (120, 2) = 69.53355443300102, (121, 1) = 1523.3968384321608, (121, 2) = 69.57911243877368, (122, 1) = 1529.6395147939697, (122, 2) = 69.62797215155254, (123, 1) = 1535.584018954774, (123, 2) = 69.67332066412695, (124, 1) = 1541.7864854271356, (124, 2) = 69.71932523769357, (125, 1) = 1547.4822858492462, (125, 2) = 69.76031767390211, (126, 1) = 1553.625976080402, (126, 2) = 69.80310947232067, (127, 1) = 1560.0075435778895, (127, 2) = 69.84590951299029, (128, 1) = 1565.562716844221, (128, 2) = 69.88173290149665, (129, 1) = 1571.562456160804, (129, 2) = 69.9188574638059, (130, 1) = 1577.7607739497487, (130, 2) = 69.95543471538119, (131, 1) = 1583.8246186532665, (131, 2) = 69.98940558498013, (132, 1) = 1589.691700201005, (132, 2) = 70.02050874887819, (133, 1) = 1596.2060939497487, (133, 2) = 70.05294423464662, (134, 1) = 1602.059566472362, (134, 2) = 70.08015044621837, (135, 1) = 1608.3093977889448, (135, 2) = 70.10711927058172, (136, 1) = 1613.9726738693466, (136, 2) = 70.1296594557492, (137, 1) = 1620.1641304924624, (137, 2) = 70.15219374680589, (138, 1) = 1625.9898086633166, (138, 2) = 70.17134885302106, (139, 1) = 1632.0793209447238, (139, 2) = 70.1892132680111, (140, 1) = 1638.0329322613065, (140, 2) = 70.20451529153176, (141, 1) = 1644.2658115577892, (141, 2) = 70.21821347782068, (142, 1) = 1650.268815115578, (142, 2) = 70.22913716008384, (143, 1) = 1656.4077532864321, (143, 2) = 70.23798473016375, (144, 1) = 1662.4958579497488, (144, 2) = 70.24442251418301, (145, 1) = 1668.0901938492461, (145, 2) = 70.24827652049031, (146, 1) = 1674.5019341105526, (146, 2) = 70.25025743890674, (147, 1) = 1680.2366710351762, (147, 2) = 70.24982161037634, (148, 1) = 1686.3510967035177, (148, 2) = 70.24706157231958, (149, 1) = 1692.2033822512562, (149, 2) = 70.24220576395425, (150, 1) = 1698.7015932462311, (150, 2) = 70.23428692447733, (151, 1) = 1704.3285664924624, (151, 2) = 70.22529375067944, (152, 1) = 1710.7152314572863, (152, 2) = 70.2127030268789, (153, 1) = 1716.535983236181, (153, 2) = 70.19904137732587, (154, 1) = 1722.902970914573, (154, 2) = 70.1817377094498, (155, 1) = 1728.3966045025127, (155, 2) = 70.16485178472884, (156, 1) = 1734.6532118994974, (156, 2) = 70.14344780395399, (157, 1) = 1740.6967857688442, (157, 2) = 70.12061295054164, (158, 1) = 1746.7364115175878, (158, 2) = 70.09571457085137, (159, 1) = 1752.7538185728642, (159, 2) = 70.0688861904143, (160, 1) = 1758.5346629346736, (160, 2) = 70.04125684751413, (161, 1) = 1764.7839087839197, (161, 2) = 70.00939695119241, (162, 1) = 1770.7398932060303, (162, 2) = 69.97716123623786, (163, 1) = 1777.008286351759, (163, 2) = 69.941325805235, (164, 1) = 1782.6826916180905, (164, 2) = 69.90725518208883, (165, 1) = 1788.9539716984923, (165, 2) = 69.86786552310636, (166, 1) = 1794.9607652060304, (166, 2) = 69.82849752287325, (167, 1) = 1800.9529380100503, (167, 2) = 69.78769802856937, (168, 1) = 1807.2117857286432, (168, 2) = 69.74353276629243, (169, 1) = 1812.9764129648242, (169, 2) = 69.7015265881189, (170, 1) = 1818.8801797788947, (170, 2) = 69.65726057125579, (171, 1) = 1825.398639839196, (171, 2) = 69.60701237236664, (172, 1) = 1831.3005714974875, (172, 2) = 69.56035908771389, (173, 1) = 1837.3364021105529, (173, 2) = 69.51159624160032, (174, 1) = 1843.4746863718594, (174, 2) = 69.46100571507075, (175, 1) = 1849.116964080402, (175, 2) = 69.41369432395963, (176, 1) = 1855.1314494070352, (176, 2) = 69.36249516929675, (177, 1) = 1861.100152080402, (177, 2) = 69.31099219389996, (178, 1) = 1867.4848086432162, (178, 2) = 69.25523849503107, (179, 1) = 1873.118991477387, (179, 2) = 69.20555816125679, (180, 1) = 1879.6196688643217, (180, 2) = 69.1477844849257, (181, 1) = 1885.4860290251256, (181, 2) = 69.09532756520929, (182, 1) = 1891.2904857688443, (182, 2) = 69.04321570852686, (183, 1) = 1897.5321414673367, (183, 2) = 68.98704721693355, (184, 1) = 1903.799045949749, (184, 2) = 68.93062112036198, (185, 1) = 1909.5010011055278, (185, 2) = 68.87934770092161, (186, 1) = 1915.556224201005, (186, 2) = 68.82506174287937, (187, 1) = 1921.4655301306532, (187, 2) = 68.77233945520219, (188, 1) = 1927.8712801005026, (188, 2) = 68.71557981098493, (189, 1) = 1933.4140348140704, (189, 2) = 68.66688249750968, (190, 1) = 1939.780090110553, (190, 2) = 68.61152832753014, (191, 1) = 1945.7645167638193, (191, 2) = 68.56014947261662, (192, 1) = 1951.6911403819097, (192, 2) = 68.50998588319588, (193, 1) = 1957.622478673367, (193, 2) = 68.46058649697149, (194, 1) = 1963.672068281407, (194, 2) = 68.41112017976612, (195, 1) = 1970.084531919598, (195, 2) = 68.35979801435076, (196, 1) = 1975.9641331457287, (196, 2) = 68.31383332084465, (197, 1) = 1981.7680545326634, (197, 2) = 68.26956479670106, (198, 1) = 1987.9723509748744, (198, 2) = 68.22353994590824, (199, 1) = 1994.16314120603, (199, 2) = 68.17903717856456, (200, 1) = 2000.0, (200, 2) = 68.1384555629838}, datatype = float[8])), COLOUR(RGB, 0., 0., 1.00000000), AXESLABELS(x, ""), VIEW(800. .. 2000., DEFAULT, _ATTRIBUTE("source" = "mathdefault")))

(4)

display(p1, p2, view = [800 .. 2000, 60 .. 75])

 

Remove the slow sine wave from the data

``

x1 := convert(X, list):     

y1 := convert(Y, list):

``

y2 := [seq(evalf(subs(x = x1[i], f)), i = 1 .. nops(x1))]:

y3 := y1-y2:

``

b := zip(`[]`, x1, y3):

plot(b)

 

````

``

h := Statistics:-Fit(a1*sin(b2*x+c2)+d2, x1, y3, x, initialvalues = [b2 = 0.7e-1])

HFloat(1.4328788078662447)*sin(HFloat(0.06931282275671881)*x+HFloat(1.2377046919545749))-HFloat(0.030742273045200882)

(5)

plot({b, h}, x = 800 .. 2000)

 

``

op(f)[2]

HFloat(68.97132607645625)

(6)

h1 := h+op(f)[2]

HFloat(1.4328788078662447)*sin(HFloat(0.06931282275671881)*x+HFloat(1.2377046919545749))+HFloat(68.94058380341104)

(7)

p3 := plot(h1, x = 800 .. 2000, view = [800 .. 2000, 60 .. 75])

PLOT(CURVES(Matrix(609, 2, {(1, 1) = 800.0, (1, 2) = 69.13953201792296, (2, 1) = 801.5772815075377, (2, 2) = 69.29316879763243, (3, 1) = 803.1545630150754, (3, 2) = 69.442595628539, (4, 1) = 804.7318445226131, (4, 2) = 69.58602831869402, (5, 1) = 806.3091260301508, (5, 2) = 69.72175424761701, (6, 1) = 809.053894442211, (6, 2) = 69.93481194185851, (7, 1) = 811.7986628542714, (7, 2) = 70.11199278401648, (8, 1) = 814.885442, (8, 2) = 70.26049248964956, (9, 1) = 817.9722211457287, (9, 2) = 70.34880212496273, (10, 1) = 818.7490312261307, (10, 2) = 70.36100636432755, (11, 1) = 819.5258413065326, (11, 2) = 70.36909371129917, (12, 1) = 819.9142463467335, (12, 2) = 70.37158575693276, (13, 1) = 820.3026513869346, (13, 2) = 70.3730407258548, (14, 1) = 820.6910564271357, (14, 2) = 70.37345756361927, (15, 1) = 821.0794614673366, (15, 2) = 70.37283596813518, (16, 1) = 822.6330816281406, (16, 2) = 70.35998554131467, (17, 1) = 824.1867017889447, (17, 2) = 70.33069130341217, (18, 1) = 827.2791739396985, (18, 2) = 70.22496636108019, (19, 1) = 830.3716460904523, (19, 2) = 70.06045598578683, (20, 1) = 833.2387636381909, (20, 2) = 69.86194243421913, (21, 1) = 836.1058811859297, (21, 2) = 69.62716142488377, (22, 1) = 837.5902482613064, (22, 2) = 69.4943619247752, (23, 1) = 839.0746153366833, (23, 2) = 69.35570559685266, (24, 1) = 840.5589824120602, (24, 2) = 69.21265888806779, (25, 1) = 842.0433494874371, (25, 2) = 69.0667346785984, (26, 1) = 843.5784840402009, (26, 2) = 68.9144349024094, (27, 1) = 845.1136185929647, (27, 2) = 68.76243090275317, (28, 1) = 846.6487531457285, (28, 2) = 68.61244203357053, (29, 1) = 848.1838876984924, (29, 2) = 68.46616485517497, (30, 1) = 851.2443104120603, (30, 2) = 68.19213690722303, (31, 1) = 854.3047331256281, (31, 2) = 67.95166122597703, (32, 1) = 857.4527540603015, (32, 2) = 67.75064953745098, (33, 1) = 860.6007749949749, (33, 2) = 67.60606675119033, (34, 1) = 863.3735535477388, (34, 2) = 67.53098191296618, (35, 1) = 866.1463321005025, (35, 2) = 67.5078029864459, (36, 1) = 869.2678240201005, (36, 2) = 67.54480499552508, (37, 1) = 872.3893159396985, (37, 2) = 67.64689087618709, (38, 1) = 875.5236250050251, (38, 2) = 67.81008215484063, (39, 1) = 878.6579340703518, (39, 2) = 68.02641975795454, (40, 1) = 881.6784216281408, (40, 2) = 68.2756990787566, (41, 1) = 884.6989091859297, (41, 2) = 68.55401466466724, (42, 1) = 887.4418012562815, (42, 2) = 68.82171696623224, (43, 1) = 890.1846933266331, (43, 2) = 69.09370274837549, (44, 1) = 891.8154753115577, (44, 2) = 69.2534196679533, (45, 1) = 893.4462572964824, (45, 2) = 69.40914382883287, (46, 1) = 895.077039281407, (46, 2) = 69.55888770634598, (47, 1) = 896.7078212663316, (47, 2) = 69.70074010284165, (48, 1) = 899.4707937688443, (48, 2) = 69.91803505694494, (49, 1) = 902.2337662713568, (49, 2) = 70.099590578268, (50, 1) = 905.4477601306533, (50, 2) = 70.25709146617932, (51, 1) = 908.6617539899497, (51, 2) = 70.34952789150648, (52, 1) = 909.3729862788944, (52, 2) = 70.3606679347137, (53, 1) = 910.0842185678391, (53, 2) = 70.36835752409304, (54, 1) = 910.4398347123115, (54, 2) = 70.37090223103722, (55, 1) = 910.7954508567839, (55, 2) = 70.37257797584085, (56, 1) = 911.1510670012563, (56, 2) = 70.37338374043777, (57, 1) = 911.5066831457286, (57, 2) = 70.37331903530138, (58, 1) = 912.9291477236181, (58, 2) = 70.36436423343366, (59, 1) = 914.3516123015075, (59, 2) = 70.34158009745404, (60, 1) = 917.472950482412, (60, 2) = 70.24439476207131, (61, 1) = 920.5942886633165, (61, 2) = 70.08641989567406, (62, 1) = 923.5665407437186, (62, 2) = 69.88619589788765, (63, 1) = 926.5387928241206, (63, 2) = 69.64597973753028, (64, 1) = 928.089409442211, (64, 2) = 69.50811916189835, (65, 1) = 929.6400260603016, (65, 2) = 69.36370904529925, (66, 1) = 931.190642678392, (66, 2) = 69.21441592702537, (67, 1) = 932.7412592964824, (67, 2) = 69.06196269778232, (68, 1) = 935.5891595075377, (68, 2) = 68.77960436405574, (69, 1) = 938.437059718593, (69, 2) = 68.50349828216221, (70, 1) = 941.5089048341708, (70, 2) = 68.22501316733681, (71, 1) = 944.5807499497487, (71, 2) = 67.97884549556399, (72, 1) = 947.7715336984925, (72, 2) = 67.76926928549769, (73, 1) = 950.9623174472362, (73, 2) = 67.61675212164394, (74, 1) = 953.7399040804021, (74, 2) = 67.53630488553048, (75, 1) = 956.5174907135679, (75, 2) = 67.50774648653861, (76, 1) = 959.5173603718594, (76, 2) = 67.5363581604519, (77, 1) = 962.5172300301508, (77, 2) = 67.62546261719804, (78, 1) = 965.6163889246232, (78, 2) = 67.7769478929355, (79, 1) = 968.7155478190955, (79, 2) = 67.98192178027121, (80, 1) = 971.7474701708543, (80, 2) = 68.22516870734555, (81, 1) = 974.7793925226131, (81, 2) = 68.4998947485855, (82, 1) = 976.2461629095478, (82, 2) = 68.64054582618826, (83, 1) = 977.7129332964824, (83, 2) = 68.78429541850922, (84, 1) = 979.1797036834171, (84, 2) = 68.9296590127155, (85, 1) = 980.6464740703518, (85, 2) = 69.07513542805556, (86, 1) = 982.2750725075377, (86, 2) = 69.2349699017611, (87, 1) = 983.9036709447237, (87, 2) = 69.39105713743945, (88, 1) = 985.5322693819096, (88, 2) = 69.54141030205611, (89, 1) = 987.1608678190955, (89, 2) = 69.68411555151616, (90, 1) = 990.087604080402, (90, 2) = 69.91564538698957, (91, 1) = 993.0143403417085, (91, 2) = 70.10718659195815, (92, 1) = 996.1392559999999, (92, 2) = 70.2587253145378, (93, 1) = 999.2641716582915, (93, 2) = 70.3486659443613, (94, 1) = 999.9720811683417, (94, 2) = 70.35998930370657, (95, 1) = 1000.679990678392, (95, 2) = 70.36789600108396, (96, 1) = 1001.0339454334171, (96, 2) = 70.3705618313003, (97, 1) = 1001.3879001884422, (97, 2) = 70.37236700422099, (98, 1) = 1001.7418549434674, (98, 2) = 70.37331043337115, (99, 1) = 1002.0958096984925, (99, 2) = 70.3733915509314, (100, 1) = 1003.511628718593, (100, 2) = 70.36509971222344, (101, 1) = 1004.9274477386934, (101, 2) = 70.34310027431233, (102, 1) = 1008.0231760502513, (102, 2) = 70.24846075184625, (103, 1) = 1011.1189043618091, (103, 2) = 70.09383483138461, (104, 1) = 1014.0317434472362, (104, 2) = 69.89988378889163, (105, 1) = 1016.9445825326633, (105, 2) = 69.6669619883958, (106, 1) = 1018.466960603015, (106, 2) = 69.53283347709271, (107, 1) = 1019.9893386733668, (107, 2) = 69.39211665571646, (108, 1) = 1021.5117167437186, (108, 2) = 69.24637688781715, (109, 1) = 1023.0340948140704, (109, 2) = 69.0972354132596, (110, 1) = 1024.522497643216, (110, 2) = 68.94972558154258, (111, 1) = 1026.0109004723618, (111, 2) = 68.8021185392305, (112, 1) = 1027.4993033015076, (112, 2) = 68.65598388998306, (113, 1) = 1028.9877061306534, (113, 2) = 68.51287558052701, (114, 1) = 1032.1041457788945, (114, 2) = 68.2297026254633, (115, 1) = 1035.2205854271356, (115, 2) = 67.97957060251368, (116, 1) = 1038.2220872060302, (116, 2) = 67.78077174860044, (117, 1) = 1041.2235889849246, (117, 2) = 67.63199074443176, (118, 1) = 1044.293058070352, (118, 2) = 67.53824215145941, (119, 1) = 1047.362527155779, (119, 2) = 67.50773019357418, (120, 1) = 1050.4065794874373, (120, 2) = 67.54128529807453, (121, 1) = 1053.4506318190956, (121, 2) = 67.63690301148272, (122, 1) = 1056.2477997688443, (122, 2) = 67.77588997400169, (123, 1) = 1059.044967718593, (123, 2) = 67.95851999764402, (124, 1) = 1060.6479027839196, (124, 2) = 68.08026308689408, (125, 1) = 1062.2508378492462, (125, 2) = 68.21261513140658, (126, 1) = 1063.8537729145728, (126, 2) = 68.3539440457369, (127, 1) = 1065.4567079798994, (127, 2) = 68.50250704710574, (128, 1) = 1068.324076442211, (128, 2) = 68.78049130701895, (129, 1) = 1071.1914449045225, (129, 2) = 69.06477839039282, (130, 1) = 1072.720051321608, (130, 2) = 69.21504420620069, (131, 1) = 1074.2486577386935, (131, 2) = 69.3622318569049, (132, 1) = 1075.777264155779, (132, 2) = 69.50469058383324, (133, 1) = 1077.3058705728645, (133, 2) = 69.64082266477334, (134, 1) = 1080.2320133467338, (134, 2) = 69.87828378073434, (135, 1) = 1083.158156120603, (135, 2) = 70.077304058975, (136, 1) = 1086.4072616180906, (136, 2) = 70.24340277649073, (137, 1) = 1089.656367115578, (137, 2) = 70.3437050259915, (138, 1) = 1091.0631104271356, (138, 2) = 70.36532118804962, (139, 1) = 1092.4698537386935, (139, 2) = 70.37340268226815, (140, 1) = 1092.821539566583, (140, 2) = 70.3732964265297, (141, 1) = 1093.1732253944724, (141, 2) = 70.37233888675559, (142, 1) = 1093.5249112223619, (142, 2) = 70.37053063189336, (143, 1) = 1093.8765970502513, (143, 2) = 70.36787273636537, (144, 1) = 1094.5799687060303, (144, 2) = 70.36001484424548, (145, 1) = 1095.283340361809, (145, 2) = 70.3487838835181, (146, 1) = 1098.476672844221, (146, 2) = 70.256298839563, (147, 1) = 1101.6700053266331, (147, 2) = 70.09961845279273, (148, 1) = 1104.5803812160805, (148, 2) = 69.9073146565856, (149, 1) = 1107.4907571055278, (149, 2) = 69.67580439676948, (150, 1) = 1109.0825040251257, (150, 2) = 69.53591913331803, (151, 1) = 1110.6742509447238, (151, 2) = 69.38879457466408, (152, 1) = 1112.265997864322, (152, 2) = 69.23621975978809, (153, 1) = 1113.8577447839198, (153, 2) = 69.08005000294722, (154, 1) = 1116.6045615778894, (154, 2) = 68.8076573015391, (155, 1) = 1119.3513783718593, (155, 2) = 68.54006841069128, (156, 1) = 1120.9155302211057, (156, 2) = 68.39355732694085, (157, 1) = 1122.4796820703518, (157, 2) = 68.25346968672928, (158, 1) = 1124.043833919598, (158, 2) = 68.12145046536591, (159, 1) = 1125.6079857688442, (159, 2) = 67.99904989497105, (160, 1) = 1128.6297727035176, (160, 2) = 67.79504763569102, (161, 1) = 1131.651559638191, (161, 2) = 67.64111512527482, (162, 1) = 1134.6713725125628, (162, 2) = 67.54402438320109, (163, 1) = 1137.6911853869346, (163, 2) = 67.50789582095751, (164, 1) = 1140.699888914573, (164, 2) = 67.53409531160264, (165, 1) = 1143.708592442211, (165, 2) = 67.6212411423957, (166, 1) = 1146.5990146231156, (166, 2) = 67.75887368190682, (167, 1) = 1149.48943680402, (167, 2) = 67.94377861368648, (168, 1) = 1152.614059728643, (168, 2) = 68.18825516207244, (169, 1) = 1155.7386826532663, (169, 2) = 68.46788223187174, (170, 1) = 1157.227678758794, (170, 2) = 68.60975336547834, (171, 1) = 1158.7166748643217, (171, 2) = 68.75514524129582, (172, 1) = 1160.2056709698493, (172, 2) = 68.90251057934135, (173, 1) = 1161.6946670753769, (173, 2) = 69.05028109778058, (174, 1) = 1163.261765361809, (174, 2) = 69.20451217601499, (175, 1) = 1164.8288636482412, (175, 2) = 69.35563240700448, (176, 1) = 1166.3959619346733, (176, 2) = 69.50186058037906, (177, 1) = 1167.9630602211055, (177, 2) = 69.64147314703415, (178, 1) = 1170.8002628542713, (178, 2) = 69.87215358872089, (179, 1) = 1173.637465487437, (179, 2) = 70.06692338585532, (180, 1) = 1176.773105527638, (180, 2) = 70.23141624958505, (181, 1) = 1179.908745567839, (181, 2) = 70.33517408740843, (182, 1) = 1181.4104439447235, (182, 2) = 70.36181209042354, (183, 1) = 1182.912142321608, (183, 2) = 70.37306626943649, (184, 1) = 1183.287566915829, (184, 2) = 70.37345813078291, (185, 1) = 1183.6629915100502, (185, 2) = 70.37287980344074, (186, 1) = 1184.0384161042714, (186, 2) = 70.37133167899121, (187, 1) = 1184.4138406984925, (187, 2) = 70.36881480565798, (188, 1) = 1185.1646898869349, (188, 2) = 70.36088228374521, (189, 1) = 1185.915539075377, (189, 2) = 70.34910371827517, (190, 1) = 1188.9116254773871, (190, 2) = 70.2645988989566, (191, 1) = 1191.907711879397, (191, 2) = 70.12319995183087, (192, 1) = 1195.0371357386935, (192, 2) = 69.92137071072153, (193, 1) = 1198.16655959799, (193, 2) = 69.67357648065511, (194, 1) = 1201.0488732160804, (194, 2) = 69.41465868642833, (195, 1) = 1203.9311868341708, (195, 2) = 69.1368821978934, (196, 1) = 1205.4071285376885, (196, 2) = 68.99090519164974, (197, 1) = 1206.883070241206, (197, 2) = 68.84440199927558, (198, 1) = 1208.3590119447235, (198, 2) = 68.69890453295778, (199, 1) = 1209.8349536482413, (199, 2) = 68.55593418849816, (200, 1) = 1211.4645686633166, (200, 2) = 68.40280903725215, (201, 1) = 1213.094183678392, (201, 2) = 68.2565377555643, (202, 1) = 1214.7237986934674, (202, 2) = 68.11898455192457, (203, 1) = 1216.3534137085428, (203, 2) = 67.9919025240504, (204, 1) = 1219.3043795376884, (204, 2) = 67.79356227770015, (205, 1) = 1222.2553453668343, (205, 2) = 67.64304234922821, (206, 1) = 1225.2732606733668, (206, 2) = 67.54509398510655, (207, 1) = 1228.2911759798994, (207, 2) = 67.50798485894478, (208, 1) = 1231.3603181105527, (208, 2) = 67.53429962278074, (209, 1) = 1234.429460241206, (209, 2) = 67.6240153466242, (210, 1) = 1237.2505990954774, (210, 2) = 67.7589805802348, (211, 1) = 1240.0717379497487, (211, 2) = 67.9389821968038, (212, 1) = 1243.0789806130654, (212, 2) = 68.17270021467037, (213, 1) = 1246.086223276382, (213, 2) = 68.43966018474933, (214, 1) = 1247.5783989447236, (214, 2) = 68.58093680012485, (215, 1) = 1249.0705746130654, (215, 2) = 68.72605717626365, (216, 1) = 1250.5627502814073, (216, 2) = 68.87347032566227, (217, 1) = 1252.0549259497488, (217, 2) = 69.02160075658999, (218, 1) = 1253.6510900904523, (218, 2) = 69.17905519170252, (219, 1) = 1255.247254231156, (219, 2) = 69.33359370735215, (220, 1) = 1256.8434183718596, (220, 2) = 69.48332667699381, (221, 1) = 1258.439582512563, (221, 2) = 69.62642323410904, (222, 1) = 1261.2566739296483, (222, 2) = 69.85748576520523, (223, 1) = 1264.0737653467336, (223, 2) = 70.05370079323264, (224, 1) = 1267.3241040402008, (224, 2) = 70.22713155769807, (225, 1) = 1270.5744427336683, (225, 2) = 70.33553847926815, (226, 1) = 1272.0410327738693, (226, 2) = 70.36156952883144, (227, 1) = 1273.5076228140704, (227, 2) = 70.37292955742517, (228, 1) = 1273.8742703241205, (228, 2) = 70.37346012088483, (229, 1) = 1274.240917834171, (229, 2) = 70.37306532592143, (230, 1) = 1274.6075653442213, (230, 2) = 70.37174542749544, (231, 1) = 1274.9742128542714, (231, 2) = 70.36950127800364, (232, 1) = 1275.707507874372, (232, 2) = 70.36224661890257, (233, 1) = 1276.4408028944724, (233, 2) = 70.35132008596764, (234, 1) = 1279.3430312663318, (234, 2) = 70.27273545300343, (235, 1) = 1282.2452596381909, (235, 2) = 70.1404255016931, (236, 1) = 1285.3660874874372, (236, 2) = 69.94434872900113, (237, 1) = 1288.4869153366835, (237, 2) = 69.70148716329926, (238, 1) = 1290.0536414572866, (238, 2) = 69.5654140122292, (239, 1) = 1291.6203675778895, (239, 2) = 69.42197966274301, (240, 1) = 1293.1870936984924, (240, 2) = 69.27287393183637, (241, 1) = 1294.7538198190955, (241, 2) = 69.11985345171857, (242, 1) = 1297.6047973969848, (242, 2) = 68.8372640177024, (243, 1) = 1300.4557749748744, (243, 2) = 68.55869605120593, (244, 1) = 1303.4833865226133, (244, 2) = 68.27937965087969, (245, 1) = 1306.510998070352, (245, 2) = 68.02907464987001, (246, 1) = 1309.465651035176, (246, 2) = 67.8232858781762, (247, 1) = 1312.4203040000002, (247, 2) = 67.66419429030657, (248, 1) = 1315.6231789849248, (248, 2) = 67.55215136112874, (249, 1) = 1318.8260539698492, (249, 2) = 67.5082555531276, (250, 1) = 1321.5974313266333, (250, 2) = 67.52701783628551, (251, 1) = 1324.3688086834172, (251, 2) = 67.59777956805979, (252, 1) = 1327.5518363316583, (252, 2) = 67.73975149124401, (253, 1) = 1330.7348639798995, (253, 2) = 67.9399374931266, (254, 1) = 1333.7270773065327, (254, 2) = 68.17256733082547, (255, 1) = 1336.7192906331659, (255, 2) = 68.43811456789177, (256, 1) = 1338.2009465376887, (256, 2) = 68.5783288497303, (257, 1) = 1339.6826024422112, (257, 2) = 68.7223604156453, (258, 1) = 1341.1642583467337, (258, 2) = 68.8686915240642, (259, 1) = 1342.6459142512563, (259, 2) = 69.01578020184242, (260, 1) = 1344.1287488241205, (260, 2) = 69.16219214679111, (261, 1) = 1345.611583396985, (261, 2) = 69.30626516649393, (262, 1) = 1347.0944179698495, (262, 2) = 69.44647866827862, (263, 1) = 1348.5772525427137, (263, 2) = 69.58135279405796, (264, 1) = 1351.6020473467338, (264, 2) = 69.83405852641474, (265, 1) = 1354.6268421507539, (265, 2) = 70.04763425661076, (266, 1) = 1357.8330739698492, (266, 2) = 70.220917983687, (267, 1) = 1361.0393057889446, (267, 2) = 70.33122902421296, (268, 1) = 1362.5092060954773, (268, 2) = 70.35913934842017, (269, 1) = 1363.97910640201, (269, 2) = 70.37233760961968, (270, 1) = 1364.7140565552763, (270, 2) = 70.37337093127954, (271, 1) = 1365.4490067085428, (271, 2) = 70.37068692656558, (272, 1) = 1366.1839568618093, (272, 2) = 70.36429255905344, (273, 1) = 1366.9189070150755, (273, 2) = 70.35420441875186, (274, 1) = 1369.8208677085427, (274, 2) = 70.27892680004793, (275, 1) = 1372.72282840201, (275, 2) = 70.14968409003436, (276, 1) = 1375.8249766231156, (276, 2) = 69.95778306196254, (277, 1) = 1378.927124844221, (277, 2) = 69.71903474941334, (278, 1) = 1380.47482240201, (278, 2) = 69.5857574186902, (279, 1) = 1382.022519959799, (279, 2) = 69.445062555829, (280, 1) = 1383.570217517588, (280, 2) = 69.29856772336203, (281, 1) = 1385.117915075377, (281, 2) = 69.14795716581227, (282, 1) = 1387.8962160100502, (282, 2) = 68.87278115445369, (283, 1) = 1390.6745169447236, (283, 2) = 68.60011177103395, (284, 1) = 1392.3200658492462, (284, 2) = 68.44391791048568, (285, 1) = 1393.965614753769, (285, 2) = 68.29417824710598, (286, 1) = 1395.6111636582916, (286, 2) = 68.15283865502302, (287, 1) = 1397.2567125628143, (287, 2) = 68.02173584903447, (288, 1) = 1400.010550592965, (288, 2) = 67.82983067979595, (289, 1) = 1402.7643886231156, (289, 2) = 67.67827169959138, (290, 1) = 1405.985311517588, (290, 2) = 67.55948444873516, (291, 1) = 1409.2062344120604, (291, 2) = 67.50924731331997, (292, 1) = 1412.2802932864322, (292, 2) = 67.52756079957366, (293, 1) = 1415.354352160804, (293, 2) = 67.60978255841972, (294, 1) = 1418.0991205728642, (294, 2) = 67.73423330936504, (295, 1) = 1420.8438889849247, (295, 2) = 67.90221537526932, (296, 1) = 1423.9306681306534, (296, 2) = 68.1355377430139, (297, 1) = 1427.017447276382, (297, 2) = 68.40557157382506, (298, 1) = 1428.571067437186, (298, 2) = 68.55153541885171, (299, 1) = 1430.12468759799, (299, 2) = 68.70200640091129, (300, 1) = 1431.678307758794, (300, 2) = 68.8552413092296, (301, 1) = 1433.231927919598, (301, 2) = 69.00946491286521, (302, 1) = 1434.7781639949749, (302, 2) = 69.16216601344718, (303, 1) = 1436.3244000703519, (303, 2) = 69.31232439763619, (304, 1) = 1437.870636145729, (304, 2) = 69.45821695695275, (305, 1) = 1439.4168722211057, (305, 2) = 69.5981695344231, (306, 1) = 1442.2839897688443, (306, 2) = 69.83656116094839, (307, 1) = 1445.151107316583, (307, 2) = 70.03968441326118, (308, 1) = 1448.1198414673368, (308, 2) = 70.2043316925423, (309, 1) = 1451.0885756180905, (309, 2) = 70.31565809431915, (310, 1) = 1452.6237101708543, (310, 2) = 70.35066860858154, (311, 1) = 1454.1588447236181, (311, 2) = 70.36972931315377, (312, 1) = 1454.542628361809, (312, 2) = 70.3719730583255, (313, 1) = 1454.926412, (313, 2) = 70.37320398359752, (314, 1) = 1455.310195638191, (314, 2) = 70.3734212179939, (315, 1) = 1455.693979276382, (315, 2) = 70.37262460780427, (316, 1) = 1456.4615465527638, (316, 2) = 70.36799282529877, (317, 1) = 1457.2291138291457, (317, 2) = 70.35932174315622, (318, 1) = 1460.2895365427134, (318, 2) = 70.2852430897942, (319, 1) = 1463.3499592562814, (319, 2) = 70.15088445232763, (320, 1) = 1466.4979801909549, (320, 2) = 69.9561503736022, (321, 1) = 1469.6460011256281, (321, 2) = 69.71325623396191, (322, 1) = 1472.418779678392, (322, 2) = 69.4685410635448, (323, 1) = 1475.1915582311558, (323, 2) = 69.20438487001779, (324, 1) = 1476.7523041909549, (324, 2) = 69.05078099180184, (325, 1) = 1478.3130501507537, (325, 2) = 68.89588874969974, (326, 1) = 1479.8737961105526, (326, 2) = 68.74151905716475, (327, 1) = 1481.4345420703517, (327, 2) = 68.58947671829296, (328, 1) = 1483.001696603015, (328, 2) = 68.4409427467532, (329, 1) = 1484.5688511356784, (329, 2) = 68.2982983218951, (330, 1) = 1486.1360056683418, (330, 2) = 68.16322487279241, (331, 1) = 1487.7031602010052, (331, 2) = 68.03731458522198, (332, 1) = 1490.723647758794, (332, 2) = 67.8258626429155, (333, 1) = 1493.744135316583, (333, 2) = 67.66309182974027, (334, 1) = 1496.4870273869346, (334, 2) = 67.56347184985485, (335, 1) = 1499.2299194572865, (335, 2) = 67.5134774211082, (336, 1) = 1499.6376149535176, (336, 2) = 67.51041680136858, (337, 1) = 1500.0453104497487, (337, 2) = 67.50849815730163, (338, 1) = 1500.4530059459798, (338, 2) = 67.50772302092766, (339, 1) = 1500.8607014422112, (339, 2) = 67.50809201118615, (340, 1) = 1501.6760924346736, (340, 2) = 67.51226027971907, (341, 1) = 1502.4914834271358, (341, 2) = 67.52098965225618, (342, 1) = 1504.1222654120604, (342, 2) = 67.5520057303005, (343, 1) = 1505.753047396985, (343, 2) = 67.60074438368869, (344, 1) = 1508.5160198994977, (344, 2) = 67.72191522441128, (345, 1) = 1511.27899240201, (345, 2) = 67.88764534479414, (346, 1) = 1514.4929862613067, (346, 2) = 68.12837480648201, (347, 1) = 1517.706980120603, (347, 2) = 68.40924527409469, (348, 1) = 1520.551909276382, (348, 2) = 68.6802500186205, (349, 1) = 1523.3968384321608, (349, 2) = 68.96134480351238, (350, 1) = 1524.957507522613, (350, 2) = 69.115905871745, (351, 1) = 1526.5181766130654, (351, 2) = 69.26841737413083, (352, 1) = 1528.0788457035176, (352, 2) = 69.41709640695717, (353, 1) = 1529.6395147939697, (353, 2) = 69.56020486919249, (354, 1) = 1532.6117668743718, (354, 2) = 69.81139087463347, (355, 1) = 1535.584018954774, (355, 2) = 70.02574839811687, (356, 1) = 1538.6852521909548, (356, 2) = 70.20036547003934, (357, 1) = 1541.7864854271356, (357, 2) = 70.31699717251117, (358, 1) = 1543.2104355326633, (358, 2) = 70.34954435685177, (359, 1) = 1544.634385638191, (359, 2) = 70.36837757822634, (360, 1) = 1544.9903731645727, (360, 2) = 70.37091863115373, (361, 1) = 1545.3463606909547, (361, 2) = 70.37258889612778, (362, 1) = 1545.7023482173367, (362, 2) = 70.37338735629103, (363, 1) = 1546.0583357437185, (363, 2) = 70.37331352554088, (364, 1) = 1546.7703107964824, (364, 2) = 70.37054970211645, (365, 1) = 1547.4822858492462, (365, 2) = 70.36430415529375, (366, 1) = 1550.5541309648243, (366, 2) = 70.29797505538428, (367, 1) = 1553.625976080402, (367, 2) = 70.1703418545598, (368, 1) = 1556.8167598291457, (368, 2) = 69.97906524521127, (369, 1) = 1560.0075435778895, (369, 2) = 69.7372003782493, (370, 1) = 1562.7851302110553, (370, 2) = 69.49459733638157, (371, 1) = 1565.562716844221, (371, 2) = 69.23152320603604, (372, 1) = 1567.0626516733669, (372, 2) = 69.08434919665072, (373, 1) = 1568.5625865025127, (373, 2) = 68.935622674807, (374, 1) = 1570.0625213316584, (374, 2) = 68.78694972784517, (375, 1) = 1571.562456160804, (375, 2) = 68.63993586455418, (376, 1) = 1573.11203560804, (376, 2) = 68.49148391509658, (377, 1) = 1574.6616150552763, (377, 2) = 68.34820779884045, (378, 1) = 1576.2111945025126, (378, 2) = 68.21175875930378, (379, 1) = 1577.7607739497487, (379, 2) = 68.08370935859922, (380, 1) = 1580.7926963015075, (380, 2) = 67.86298830425437, (381, 1) = 1583.8246186532665, (381, 2) = 67.68968273209443, (382, 1) = 1586.7581594271358, (382, 2) = 67.57433134712086, (383, 1) = 1589.691700201005, (383, 2) = 67.51527182018818, (384, 1) = 1590.0988498103015, (384, 2) = 67.51168968799682, (385, 1) = 1590.505999419598, (385, 2) = 67.5092454619457, (386, 1) = 1590.9131490288946, (386, 2) = 67.507941088505, (387, 1) = 1591.320298638191, (387, 2) = 67.50777760641829, (388, 1) = 1592.1345978567838, (388, 2) = 67.51087292840798, (389, 1) = 1592.9488970753769, (389, 2) = 67.51852156998443, (390, 1) = 1594.5774955125628, (390, 2) = 67.54736695106993, (391, 1) = 1596.2060939497487, (391, 2) = 67.59394657707556, (392, 1) = 1599.1328302110553, (392, 2) = 67.72020127602431, (393, 1) = 1602.059566472362, (393, 2) = 67.89650555828561, (394, 1) = 1605.1844821306534, (394, 2) = 68.13179947272995, (395, 1) = 1608.3093977889448, (395, 2) = 68.40488870110717, (396, 1) = 1611.1410358291457, (396, 2) = 68.67433829577413, (397, 1) = 1613.9726738693466, (397, 2) = 68.95401117267744, (398, 1) = 1615.5205380251255, (398, 2) = 69.10736151705416, (399, 1) = 1617.0684021809045, (399, 2) = 69.2587940131109, (400, 1) = 1618.6162663366836, (400, 2) = 69.40656727375334, (401, 1) = 1620.1641304924624, (401, 2) = 69.54898199100155, (402, 1) = 1623.0769695778895, (402, 2) = 69.79676993021364, (403, 1) = 1625.9898086633166, (403, 2) = 70.00977602552076, (404, 1) = 1629.0345648040202, (404, 2) = 70.18587987531222, (405, 1) = 1632.0793209447238, (405, 2) = 70.30672608523197, (406, 1) = 1633.5677237738696, (406, 2) = 70.34397158477792, (407, 1) = 1635.0561266030152, (407, 2) = 70.36629393050288, (408, 1) = 1635.4282273103017, (408, 2) = 70.36951142759457, (409, 1) = 1635.800328017588, (409, 2) = 70.37177846364423, (410, 1) = 1636.1724287248744, (410, 2) = 70.37309353071721, (411, 1) = 1636.5445294321607, (411, 2) = 70.3734557540876, (412, 1) = 1636.916630139447, (412, 2) = 70.37286489282005, (413, 1) = 1637.2887308467336, (413, 2) = 70.37132133992998, (414, 1) = 1637.6608315540202, (414, 2) = 70.36882612212221, (415, 1) = 1638.0329322613065, (415, 2) = 70.36538089910806, (416, 1) = 1641.1493719095479, (416, 2) = 70.29969718449227, (417, 1) = 1644.2658115577892, (417, 2) = 70.17084345728834, (418, 1) = 1647.2673133366836, (418, 2) = 69.99259229362322, (419, 1) = 1650.268815115578, (419, 2) = 69.76897239769225, (420, 1) = 1651.8035496582916, (420, 2) = 69.6401536949482, (421, 1) = 1653.338284201005, (421, 2) = 69.50342610760988, (422, 1) = 1654.8730187437186, (422, 2) = 69.36033538932135, (423, 1) = 1656.4077532864321, (423, 2) = 69.21249923116848, (424, 1) = 1657.9297794522613, (424, 2) = 69.06284657360966, (425, 1) = 1659.4518056180905, (425, 2) = 68.91183446737155, (426, 1) = 1660.9738317839196, (426, 2) = 68.76114202710245, (427, 1) = 1662.4958579497488, (427, 2) = 68.6124448130614, (428, 1) = 1665.2930258994975, (428, 2) = 68.34986052920479, (429, 1) = 1668.0901938492461, (429, 2) = 68.10941165236436, (430, 1) = 1671.2960639798994, (430, 2) = 67.87262132075803, (431, 1) = 1674.5019341105526, (431, 2) = 67.6883464634821, (432, 1) = 1677.3693025728644, (432, 2) = 67.57548978346858, (433, 1) = 1680.2366710351762, (433, 2) = 67.51637670049305, (434, 1) = 1680.6188226394474, (434, 2) = 67.51270748074676, (435, 1) = 1681.000974243719, (435, 2) = 67.51004002113658, (436, 1) = 1681.3831258479904, (436, 2) = 67.5083761930814, (437, 1) = 1681.7652774522617, (437, 2) = 67.50771716387884, (438, 1) = 1682.147429056533, (438, 2) = 67.5080633958863, (439, 1) = 1682.5295806608042, (439, 2) = 67.50941464619657, (440, 1) = 1682.9117322650754, (440, 2) = 67.51176996680832, (441, 1) = 1683.293883869347, (441, 2) = 67.51512770529109, (442, 1) = 1684.8224902864322, (442, 2) = 67.5385252130323, (443, 1) = 1686.3510967035177, (443, 2) = 67.57764727623697, (444, 1) = 1689.277239477387, (444, 2) = 67.69465808347292, (445, 1) = 1692.2033822512562, (445, 2) = 67.86274538593116, (446, 1) = 1695.4524877487438, (446, 2) = 68.10079518419631, (447, 1) = 1698.7015932462311, (447, 2) = 68.38125695693007, (448, 1) = 1701.5150798693467, (448, 2) = 68.64748980278462, (449, 1) = 1704.3285664924624, (449, 2) = 68.92483349268136, (450, 1) = 1705.9252327336685, (450, 2) = 69.08317268663858, (451, 1) = 1707.5218989748744, (451, 2) = 69.23976727275539, (452, 1) = 1709.1185652160802, (452, 2) = 69.3927012801895, (453, 1) = 1710.7152314572863, (453, 2) = 69.54010352612228, (454, 1) = 1713.6256073467337, (454, 2) = 69.78870217822956, (455, 1) = 1716.535983236181, (455, 2) = 70.00290478092012, (456, 1) = 1719.719477075377, (456, 2) = 70.18760697932365, (457, 1) = 1722.902970914573, (457, 2) = 70.31183821579026, (458, 1) = 1724.2763793115578, (458, 2) = 70.34514206216626, (459, 1) = 1725.6497877085428, (459, 2) = 70.36572733707716, (460, 1) = 1725.9931398077892, (460, 2) = 70.36886197571856, (461, 1) = 1726.3364919070355, (461, 2) = 70.3711877068141, (462, 1) = 1726.6798440062817, (462, 2) = 70.37270321318239, (463, 1) = 1727.0231961055279, (463, 2) = 70.37340763651409, (464, 1) = 1727.366548204774, (464, 2) = 70.37330057785792, (465, 1) = 1727.7099003040203, (465, 2) = 70.37238209784674, (466, 1) = 1728.0532524032665, (466, 2) = 70.3706527166631, (467, 1) = 1728.3966045025127, (467, 2) = 70.36811341374472, (468, 1) = 1731.524908201005, (468, 2) = 70.30807469221227, (469, 1) = 1734.6532118994974, (469, 2) = 70.18399362963103, (470, 1) = 1737.6749988341708, (470, 2) = 70.00876142049218, (471, 1) = 1740.6967857688442, (471, 2) = 69.78684069418881, (472, 1) = 1743.716598643216, (472, 2) = 69.52811011240912, (473, 1) = 1746.7364115175878, (473, 2) = 69.2437330139215, (474, 1) = 1748.240763281407, (474, 2) = 69.09632552208582, (475, 1) = 1749.7451150452262, (475, 2) = 68.94722627546987, (476, 1) = 1751.2494668090453, (476, 2) = 68.79805487455926, (477, 1) = 1752.7538185728642, (477, 2) = 68.65043170362048, (478, 1) = 1755.6442407537688, (478, 2) = 68.37699149393332, (479, 1) = 1758.5346629346736, (479, 2) = 68.12609687833756, (480, 1) = 1761.6592858592967, (480, 2) = 67.89179837051951, (481, 1) = 1764.7839087839197, (481, 2) = 67.70650152605859, (482, 1) = 1767.761900994975, (482, 2) = 67.58346632737795, (483, 1) = 1770.7398932060303, (483, 2) = 67.51804793833145, (484, 1) = 1771.5234423492464, (484, 2) = 67.5108166224118, (485, 1) = 1772.3069914924624, (485, 2) = 67.50780147756642, (486, 1) = 1772.6987660640705, (486, 2) = 67.50787823442776, (487, 1) = 1773.0905406356785, (487, 2) = 67.50901139500964, (488, 1) = 1773.4823152072865, (488, 2) = 67.51120012377741, (489, 1) = 1773.8740897788946, (489, 2) = 67.51444280687461, (490, 1) = 1775.4411880653267, (490, 2) = 67.53789364683205, (491, 1) = 1777.008286351759, (491, 2) = 67.57787758918388, (492, 1) = 1779.8454889849247, (492, 2) = 67.690683606483, (493, 1) = 1782.6826916180905, (493, 2) = 67.85167143732474, (494, 1) = 1785.8183316582913, (494, 2) = 68.0781183456541, (495, 1) = 1788.9539716984923, (495, 2) = 68.34514516199206, (496, 1) = 1790.455670075377, (496, 2) = 68.48377962044289, (497, 1) = 1791.9573684522613, (497, 2) = 68.62735867169306, (498, 1) = 1793.4590668291457, (498, 2) = 68.77432817072945, (499, 1) = 1794.9607652060304, (499, 2) = 68.9230972732609, (500, 1) = 1796.4588084070353, (500, 2) = 69.0716941619749, (501, 1) = 1797.9568516080403, (501, 2) = 69.21887876478355, (502, 1) = 1799.4548948090453, (502, 2) = 69.36306564829852, (503, 1) = 1800.9529380100503, (503, 2) = 69.50270166976617, (504, 1) = 1804.0823618693466, (504, 2) = 69.77318287636722, (505, 1) = 1807.2117857286432, (505, 2) = 70.00464397889792, (506, 1) = 1810.0940993467339, (506, 2) = 70.17392606142369, (507, 1) = 1812.9764129648242, (507, 2) = 70.29414580073247, (508, 1) = 1814.4523546683417, (508, 2) = 70.33507912405868, (509, 1) = 1815.9282963718595, (509, 2) = 70.3614308922548, (510, 1) = 1816.6662672236184, (510, 2) = 70.36904653878787, (511, 1) = 1817.4042380753772, (511, 2) = 70.37292555777682, (512, 1) = 1817.7732235012566, (512, 2) = 70.37346027832625, (513, 1) = 1818.142208927136, (513, 2) = 70.3730578023352, (514, 1) = 1818.5111943530153, (514, 2) = 70.37171839304972, (515, 1) = 1818.8801797788947, (515, 2) = 70.36944292653261, (516, 1) = 1822.1394098090454, (516, 2) = 70.30911405879813, (517, 1) = 1825.398639839196, (517, 2) = 70.17924052224116, (518, 1) = 1828.3496056683416, (518, 2) = 70.00710982391394, (519, 1) = 1831.3005714974875, (519, 2) = 69.79051473482966, (520, 1) = 1834.3184868040203, (520, 2) = 69.53243619555136, (521, 1) = 1837.3364021105529, (521, 2) = 69.24855463854392, (522, 1) = 1838.8709731758795, (522, 2) = 69.09824778217613, (523, 1) = 1840.4055442412061, (523, 2) = 68.94615885821628, (524, 1) = 1841.9401153065328, (524, 2) = 68.79400691970761, (525, 1) = 1843.4746863718594, (525, 2) = 68.64351173194332, (526, 1) = 1846.2958252261308, (526, 2) = 68.37681773568826, (527, 1) = 1849.116964080402, (527, 2) = 68.13161148085678, (528, 1) = 1852.1242067437188, (528, 2) = 67.90438699068338, (529, 1) = 1855.1314494070352, (529, 2) = 67.72201982711049, (530, 1) = 1858.1158007437186, (530, 2) = 67.59317649653416, (531, 1) = 1861.100152080402, (531, 2) = 67.52178142197235, (532, 1) = 1861.8982341507538, (532, 2) = 67.512874279126, (533, 1) = 1862.6963162211055, (533, 2) = 67.50833482207531, (534, 1) = 1863.0953572562814, (534, 2) = 67.50770783886556, (535, 1) = 1863.4943982914574, (535, 2) = 67.50817693804434, (536, 1) = 1863.8934393266331, (536, 2) = 67.50974176077297, (537, 1) = 1864.292480361809, (537, 2) = 67.51240111003601, (538, 1) = 1865.8886445025128, (538, 2) = 67.53393056513829, (539, 1) = 1867.4848086432162, (539, 2) = 67.57265993501629, (540, 1) = 1870.3019000603017, (540, 2) = 67.68141022972273, (541, 1) = 1873.118991477387, (541, 2) = 67.83801630051158, (542, 1) = 1876.3693301708545, (542, 2) = 68.07031195469523, (543, 1) = 1879.6196688643217, (543, 2) = 68.34659231117895, (544, 1) = 1881.0862589045228, (544, 2) = 68.48198273825747, (545, 1) = 1882.5528489447238, (545, 2) = 68.62210800941156, (546, 1) = 1884.0194389849248, (546, 2) = 68.7655213959693, (547, 1) = 1885.4860290251256, (547, 2) = 68.91074222098653, (548, 1) = 1886.9371432110552, (548, 2) = 69.05473908456824, (549, 1) = 1888.388257396985, (549, 2) = 69.19758206934566, (550, 1) = 1889.8393715829147, (550, 2) = 69.33782732190424, (551, 1) = 1891.2904857688443, (551, 2) = 69.47405724664353, (552, 1) = 1894.4113136180904, (552, 2) = 69.74705483085077, (553, 1) = 1897.5321414673367, (553, 2) = 69.98246335498499, (554, 1) = 1900.665593708543, (554, 2) = 70.16995513846818, (555, 1) = 1903.799045949749, (555, 2) = 70.29968407720199, (556, 1) = 1905.2245347386938, (556, 2) = 70.3378259274019, (557, 1) = 1906.6500235276385, (557, 2) = 70.36233849132879, (558, 1) = 1907.3627679221108, (558, 2) = 70.36940380441311, (559, 1) = 1908.0755123165832, (559, 2) = 70.37298266314318, (560, 1) = 1908.4318845138193, (560, 2) = 70.37346161010078, (561, 1) = 1908.7882567110555, (561, 2) = 70.37306633476918, (562, 1) = 1909.1446289082917, (562, 2) = 70.37179707831235, (563, 1) = 1909.5010011055278, (563, 2) = 70.36965461512452, (564, 1) = 1912.5286126532665, (564, 2) = 70.3165561529547, (565, 1) = 1915.556224201005, (565, 2) = 70.20308468325265, (566, 1) = 1918.5108771658292, (566, 2) = 70.03888667984465, (567, 1) = 1921.4655301306532, (567, 2) = 69.82878538586648, (568, 1) = 1923.0669676231155, (568, 2) = 69.69876854610412, (569, 1) = 1924.668405115578, (569, 2) = 69.55941967395891, (570, 1) = 1926.2698426080403, (570, 2) = 69.41245392948903, (571, 1) = 1927.8712801005026, (571, 2) = 69.25968022417658, (572, 1) = 1930.6426574572865, (572, 2) = 68.98712567768875, (573, 1) = 1933.4140348140704, (573, 2) = 68.71285904145326, (574, 1) = 1935.0055486381912, (574, 2) = 68.55850430694764, (575, 1) = 1936.5970624623117, (575, 2) = 68.40879431113883, (576, 1) = 1938.1885762864322, (576, 2) = 68.26554899939751, (577, 1) = 1939.780090110553, (577, 2) = 68.13050972934347, (578, 1) = 1942.772303437186, (578, 2) = 67.90449570954608, (579, 1) = 1945.7645167638193, (579, 2) = 67.72288871327353, (580, 1) = 1948.7278285728644, (580, 2) = 67.59445334551923, (581, 1) = 1951.6911403819097, (581, 2) = 67.52260823641795, (582, 1) = 1952.4325576683418, (582, 2) = 67.51389221571489, (583, 1) = 1953.1739749547742, (583, 2) = 67.50894312117562, (584, 1) = 1953.9153922412063, (584, 2) = 67.50777402000672, (585, 1) = 1954.6568095276384, (585, 2) = 67.51038799901252, (586, 1) = 1956.1396441005027, (586, 2) = 67.5269276202264, (587, 1) = 1957.622478673367, (587, 2) = 67.55838742037162, (588, 1) = 1960.647273477387, (588, 2) = 67.66726773291401, (589, 1) = 1963.672068281407, (589, 2) = 67.83191331704951, (590, 1) = 1966.8783001005027, (590, 2) = 68.05925137073098, (591, 1) = 1970.084531919598, (591, 2) = 68.32993738144171, (592, 1) = 1971.5544322261308, (592, 2) = 68.46494088993498, (593, 1) = 1973.0243325326633, (593, 2) = 68.60487736600697, (594, 1) = 1974.494232839196, (594, 2) = 68.74829550642171, (595, 1) = 1975.9641331457287, (595, 2) = 68.89370789905371, (596, 1) = 1977.4151134924623, (596, 2) = 69.0377317856299, (597, 1) = 1978.866093839196, (597, 2) = 69.18077388374269, (598, 1) = 1980.3170741859299, (598, 2) = 69.32138859381789, (599, 1) = 1981.7680545326634, (599, 2) = 69.45815484773867, (600, 1) = 1984.8702027537688, (600, 2) = 69.7313221591213, (601, 1) = 1987.9723509748744, (601, 2) = 69.96807188133866, (602, 1) = 1991.0677460904521, (602, 2) = 70.15714624371914, (603, 1) = 1994.16314120603, (603, 2) = 70.29043435589779, (604, 1) = 1995.6223559045225, (604, 2) = 70.33206929169049, (605, 1) = 1997.081570603015, (605, 2) = 70.35948179157849, (606, 1) = 1997.8111779522615, (606, 2) = 70.36776130337729, (607, 1) = 1998.5407853015076, (607, 2) = 70.37239167116464, (608, 1) = 1999.2703926507538, (608, 2) = 70.37336105557304, (609, 1) = 2000.0, (609, 2) = 70.37066697798768}, datatype = float[8]), COLOUR(RGB, .47058824, 0., 0.54901961e-1, _ATTRIBUTE("source" = "mathdefault"))), AXESLABELS(x, ""), VIEW(800 .. 2000, 60 .. 75))

(8)

plots:-display(p2, p3)

 

````

From the graph of b, it looks like there is a hint of another very slow sine wave as well as another fast sine wave.  But for the two most obvious two, the above is what I came up with.

 

 

``


Download fitting_data_to_sine4.mw

you could use dualaxisplot, but you have to include your function twice and it doesn't put tickmarks at the top of the axis.

with(plots):

dualaxisplot(x^2,x^2,x=0..4)

 

or you could use axis=[gridlines] option

plot(x^2,x=0..4,axis=[gridlines])

 

display

November 29 2015 Christopher2222 4170

with(plots):

display(seq(plot(sin(m*x)), m = 1 .. 2))

Monitor setting

November 21 2015 Christopher2222 4170

The icons across the top of your screen are controlled by your graphics card - you can adjust those settings separate from maple through windows control panel - display.  The plot size I believe is also affected by this setting. 

The rest of the worksheet size is can be changed by holding crtl and a pressing a number (default size is 2)

The reason I ask is because the latest maple bug http://www.mapleprimes.com/posts/201844-Possible-Bug-In-Maple- appears to be fixed in Maple 2015 by first loading the Physics package.  But it needs to be loaded right after a restart.

I was hoping your Physics addons would also fix earlier versions of Maple since I don't think Maplesoft would be providing updates to earlier Maple versions. 

I tried a few other packages but only the Physics package seemed to rid Maple (only 2015) of the bug.  Also I only tried the second option of loading the Physics package into a user library rather than the system library for Maple18 to see if it worked in an earlier version which unfortunatley did not.

 

add(i, i = [seq(t || i, i = 1 .. 21)])

t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21

(1)

restart; gc()

c := t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21-t0+t0+t22+t23

t17+t18+t19+t20+t21+t1+t22+t23+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16

(2)

c := t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21-t0+t0+t22+t23

t17+t18+t19+t20+t21+t1+t22+t23+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t15+t16

(3)

c := t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21-t0+t0+t22+t23

t17+t18+t19+t20+t21+t1+t22+t23+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t15+t16

(4)

restart; gc()

with(Physics):

c := t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21-t0+t0+t22+t23

t1+t2+t3+t4+t22+t23+t20+t21+t19+t17+t18+t15+t16+t13+t14+t11+t12+t9+t10+t8+t6+t7+t5

(5)

c := t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21-t0+t0+t22+t23

t1+t2+t3+t4+t22+t23+t20+t21+t19+t17+t18+t15+t16+t13+t14+t11+t12+t9+t10+t8+t6+t7+t5

(6)

c := t1+t2+t3+t4+t5+t6+t7+t8+t9+t10+t11+t12+t13+t14+t15+t16+t17+t18+t19+t20+t21-t0+t0+t22+t23

t1+t2+t3+t4+t22+t23+t20+t21+t19+t17+t18+t15+t16+t13+t14+t11+t12+t9+t10+t8+t6+t7+t5

(7)

``

 

Download maplebug.mw

 

 

Using map2 should get what you want

L := [[1, 2, 3], [4, 3, 2]]:

map2(map, `^`, L, 2)

                              [[2,4,9],[16,9,4]]

 

 

 

zip

November 14 2015 Christopher2222 4170

One more way

zip(`^`,L,2)

 

 

1 2 3 4 5 6 7 Last Page 1 of 35