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[0.2,0.8,1.2000000000000002]
[0.3,0.7,1.2999999999999998]
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[0.6,0.4,1.6]
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["t","(1-t)","2･(1-t)+5･t"]
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[0.3,0.7,2.9]
[0.4,0.6,3.2]
[0.5,0.5,3.5]
[0.6,0.4,3.8]
[0.7,0.30000000000000004,4.1]
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[0.9,0.09999999999999998,4.7]
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[0.4,0.6479999999999999,0.3520000000000001,1.352]
[0.5,0.5,0.5,1.5]
[0.6,0.35199999999999987,0.6480000000000001,1.6480000000000001]
[0.7,0.21600000000000008,0.7839999999999999,1.7839999999999998]
[0.8,0.10399999999999987,0.8960000000000001,1.8960000000000001]
[0.9,0.028000000000000025,0.972,1.972]
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[null,null,null,"y"]
["t","2ｔ3-3ｔ2+1","-2ｔ3+3ｔ2","2･（2ｔ3-3ｔ2+1）+5･（-2ｔ3+3ｔ2）"]
[0,1,0,2]
[0.1,0.972,0.028000000000000004,2.084]
[0.2,0.896,0.10400000000000002,2.3120000000000003]
[0.3,0.784,0.21600000000000003,2.648]
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[0.7,0.21600000000000008,0.7839999999999999,4.351999999999999]
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[null,null,null,"x"]
["t","cos2(PI/2*t)","sin2(PI/2*t)","1･cos2(PI/2*t)+2･sin2(PI/2*t)"]
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[0.2,0.9045084971874736,0.09549150281252627,1.0954915028125263]
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[0.4,0.6545084971874737,0.3454915028125263,1.3454915028125263]
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[0.9,0.02447174185242323,0.9755282581475768,1.9755282581475768]
[1,3.752471841412447e-33,1,2]
[null,null,null,"y"]
["t","cos2(PI/2*t)","sin2(PI/2*t)","2･cos2(PI/2*t)+5･sin2(PI/2*t)"]
[0,1,0,2]
[0.1,0.9755282581475768,0.024471741852423214,2.0734152255572695]
[0.2,0.9045084971874736,0.09549150281252627,2.2864745084375784]
[0.3,0.7938926261462367,0.2061073738537634,2.6183221215612904]
[0.4,0.6545084971874737,0.3454915028125263,3.036474508437579]
[0.5,0.5000000000000001,0.4999999999999999,3.5]
[0.6,0.3454915028125263,0.6545084971874737,3.963525491562421]
[0.7,0.20610737385376346,0.7938926261462365,4.381677878438709]
[0.8,0.0954915028125263,0.9045084971874736,4.713525491562421]
[0.9,0.02447174185242323,0.9755282581475768,4.9265847744427305]
[1,3.752471841412447e-33,1,5]

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["エルミート曲線"]
["行列積から求めた式"]
["x=-4t3+7t2-2t"]
["y=-4t3+5t2"]
[]
["係数行列"]
[2,-3,0,1]
[-2,3,0,0]
[1,-2,1,0]
[-1,1,0,0]
[]
["制御点Ｐ0(ｘ0,ｙ0), Ｐ1(ｘ1,ｙ1) （グラフでは×で表示）"]
[null,"P0","P1","P'0","P'1"]
["ｘ=",0,1,-2,0]
["ｙ=",0,1,0,2]
[]
["制御棒"]
["ｘ0=","ｙ0=","ｘ1=","ｙ1="]
[0,0,1,1]
[-2,0,1,3]
[]
[null,null,null,"↓行列の掛け算より",null,"↓行列積から求めた、式より"]
["t","t2","t3","x","y","x","y"]
[0,0,0,0,0,0,0]
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[0.2,0.04000000000000001,0.008000000000000002,-0.152,0.16800000000000004,-0.152,0.16800000000000004]
[0.30000000000000004,0.09000000000000002,0.02700000000000001,-0.07800000000000007,0.3420000000000001,-0.07800000000000007,0.3420000000000001]
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[0.5,0.25,0.125,0.25,0.75,0.25,0.75]
[0.6,0.36,0.216,0.4560000000000002,0.9359999999999998,0.4560000000000002,0.9359999999999998]
[0.7,0.48999999999999994,0.3429999999999999,0.6579999999999999,1.078,0.6579999999999999,1.078]
[0.7999999999999999,0.6399999999999999,0.5119999999999999,0.8320000000000001,1.1519999999999997,0.8320000000000001,1.1519999999999997]
[0.8999999999999999,0.8099999999999998,0.7289999999999998,0.9540000000000002,1.134,0.9540000000000002,1.134]
[0.9999999999999999,0.9999999999999998,0.9999999999999997,0.9999999999999998,1.0000000000000004,0.9999999999999998,1.0000000000000004]

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["ベジェ曲線"]
[]
["x=(1-t)3x0+3t(1-t)2x1+3t2(1-t)x2+t3x3"]
["y=(1-t)3y0+3t(1-t)2y1+3t2(1-t)y2+t3y3"]
[]
["制御点 P0(x0,y0), P1(x1,y1), P2(x2,y2), P3(x3,y3)",{"$nulls":4},"（グラフでは□で表示）"]
[null,"P0",null,"P1"]
["ｘ0=",1,"ｘ1=",3]
["ｙ0=",2,"ｙ1=",5]
[]
[null,"P2",null,"P3"]
["ｘ2=",9,"ｘ3=",9]
["ｙ2=",6,"ｙ3=",1]
[]
[]
[]
["t","(1-t)3","3t(1-t)2","3t2(1-t)","t3","x","y"]
[0,1,0,0,0,1,2]
[0.1,0.7290000000000001,0.24300000000000005,0.027000000000000007,0.0010000000000000002,1.7100000000000002,2.8360000000000003]
[0.2,0.5120000000000001,0.3840000000000001,0.09600000000000003,0.008000000000000002,2.600000000000001,3.528000000000001]
[0.30000000000000004,0.3429999999999999,0.441,0.18900000000000003,0.02700000000000001,3.6100000000000003,4.0520000000000005]
[0.4,0.216,0.43200000000000005,0.28800000000000003,0.06400000000000002,4.6800000000000015,4.384]
[0.5,0.125,0.375,0.375,0.125,5.75,4.5]
[0.6,0.06400000000000002,0.28800000000000003,0.43200000000000005,0.216,6.760000000000001,4.376000000000001]
[0.7,0.02700000000000001,0.18900000000000003,0.441,0.3429999999999999,7.649999999999999,3.988]
[0.7999999999999999,0.008000000000000009,0.09600000000000007,0.38400000000000006,0.5119999999999999,8.36,3.3120000000000007]
[0.8999999999999999,0.0010000000000000026,0.027000000000000045,0.2430000000000002,0.7289999999999998,8.83,2.324000000000001]
[0.9999999999999999,1.3684555315672042e-48,3.6977854932234923e-32,3.3306690738754686e-16,0.9999999999999997,9,1.0000000000000018]
[]
["t","(1-t)2","2t(1-t)","t2","x","y"]
[0,1,0,0,1,2]
[0.1,0.81,0.18000000000000002,0.010000000000000002,1.4400000000000002,2.5800000000000005]
[0.2,0.6400000000000001,0.32000000000000006,0.04000000000000001,1.9600000000000004,3.120000000000001]
[0.30000000000000004,0.48999999999999994,0.42000000000000004,0.09000000000000002,2.5600000000000005,3.62]
[0.4,0.36,0.48,0.16000000000000003,3.24,4.08]
[0.5,0.25,0.5,0.25,4,4.5]
[0.6,0.16000000000000003,0.48,0.36,4.84,4.88]
[0.7,0.09000000000000002,0.42000000000000004,0.48999999999999994,5.76,5.22]
[0.7999999999999999,0.04000000000000003,0.32000000000000006,0.6399999999999999,6.759999999999999,5.52]
[0.8999999999999999,0.010000000000000018,0.18000000000000013,0.8099999999999998,7.839999999999999,5.78]
[0.9999999999999999,1.232595164407831e-32,2.2204460492503128e-16,0.9999999999999998,8.999999999999998,5.999999999999999]
[]
["t","(1-t)2","2t(1-t)","t2","x","y"]
[0,1,0,0,3,5]
[0.1,0.81,0.18000000000000002,0.010000000000000002,4.140000000000001,5.140000000000001]
[0.2,0.6400000000000001,0.32000000000000006,0.04000000000000001,5.160000000000001,5.160000000000001]
[0.30000000000000004,0.48999999999999994,0.42000000000000004,0.09000000000000002,6.0600000000000005,5.0600000000000005]
[0.4,0.36,0.48,0.16000000000000003,6.840000000000001,4.84]
[0.5,0.25,0.5,0.25,7.5,4.5]
[0.6,0.16000000000000003,0.48,0.36,8.040000000000001,4.04]
[0.7,0.09000000000000002,0.42000000000000004,0.48999999999999994,8.46,3.4600000000000004]
[0.7999999999999999,0.04000000000000003,0.32000000000000006,0.6399999999999999,8.76,2.7600000000000007]
[0.8999999999999999,0.010000000000000018,0.18000000000000013,0.8099999999999998,8.94,1.9400000000000006]
[0.9999999999999999,1.232595164407831e-32,2.2204460492503128e-16,0.9999999999999998,9,1.000000000000001]

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["ベジェ曲線"]
[]
["x=(1-t)3x0+3t(1-t)2x1+3t2(1-t)x2+t3x3"]
["y=(1-t)3y0+3t(1-t)2y1+3t2(1-t)y2+t3y3"]
[]
["制御点 P0(x0,y0), P1(x1,y1), P2(x2,y2), P3(x3,y3)",{"$nulls":4},"（グラフでは□で表示）"]
[null,"P0",null,"P1"]
["ｘ0=",1,"ｘ1=",2]
["ｙ0=",3,"ｙ1=",4]
[]
[null,"P2",null,"P3"]
["ｘ2=",6,"ｘ3=",8]
["ｙ2=",5,"ｙ3=",4]
[]
[]
[]
["t","(1-t)3","3t(1-t)2","3t2(1-t)","t3","x","y"]
[0,1,0,0,0,1,3]
[0.1,0.7290000000000001,0.24300000000000005,0.027000000000000007,0.0010000000000000002,1.3850000000000002,3.298000000000001]
[0.2,0.5120000000000001,0.3840000000000001,0.09600000000000003,0.008000000000000002,1.9200000000000004,3.584000000000001]
[0.30000000000000004,0.3429999999999999,0.441,0.18900000000000003,0.02700000000000001,2.575,3.846]
[0.4,0.216,0.43200000000000005,0.28800000000000003,0.06400000000000002,3.3200000000000003,4.072000000000001]
[0.5,0.125,0.375,0.375,0.125,4.125,4.25]
[0.6,0.06400000000000002,0.28800000000000003,0.43200000000000005,0.216,4.960000000000001,4.368]
[0.7,0.02700000000000001,0.18900000000000003,0.441,0.3429999999999999,5.795,4.414]
[0.7999999999999999,0.008000000000000009,0.09600000000000007,0.38400000000000006,0.5119999999999999,6.6,4.376]
[0.8999999999999999,0.0010000000000000026,0.027000000000000045,0.2430000000000002,0.7289999999999998,7.344999999999999,4.242]
[0.9999999999999999,1.3684555315672042e-48,3.6977854932234923e-32,3.3306690738754686e-16,0.9999999999999997,7.999999999999999,4]

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["ベジェ曲線"]
[]
["x=(1-t)3x0+3t(1-t)2x1+3t2(1-t)x2+t3x3"]
["y=(1-t)3y0+3t(1-t)2y1+3t2(1-t)y2+t3y3"]
[]
["係数行列"]
[-1,3,-3,1]
[3,-6,3,0]
[-3,3,0,0]
[1,0,0,0]
[]
["制御点 P0(x0,y0), P1(x1,y1), P2(x2,y2), P3(x3,y3)",{"$nulls":4},"（グラフでは□で表示）"]
[null,"P0","P1","P2","P3"]
["ｘ=",2,2,8,8]
["ｙ=",3,4,4,3]
[]
[null,null,null,"↓係数行列との掛け算より"]
["t","t2","t3","x","y"]
[0,0,0,2,3]
[0.05,0.0025000000000000005,0.00012500000000000003,2.0435,3.1425]
[0.1,0.010000000000000002,0.0010000000000000002,2.168,3.27]
[0.15000000000000002,0.022500000000000006,0.0033750000000000013,2.3645,3.3825000000000003]
[0.2,0.04000000000000001,0.008000000000000002,2.624,3.48]
[0.25,0.0625,0.015625,2.9375,3.5625]
[0.3,0.09,0.027,3.296,3.63]
[0.35,0.12249999999999998,0.04287499999999999,3.6904999999999997,3.6825]
[0.39999999999999997,0.15999999999999998,0.06399999999999999,4.112,3.7199999999999998]
[0.44999999999999996,0.20249999999999996,0.09112499999999997,4.551499999999999,3.7424999999999997]
[0.49999999999999994,0.24999999999999994,0.12499999999999996,5,3.75]
[0.5499999999999999,0.30249999999999994,0.16637499999999994,5.448499999999999,3.7425]
[0.6,0.36,0.216,5.888,3.7199999999999998]
[0.65,0.42250000000000004,0.27462500000000006,6.3095,3.6825]
[0.7000000000000001,0.4900000000000001,0.3430000000000001,6.704000000000001,3.63]
[0.7500000000000001,0.5625000000000002,0.4218750000000002,7.062500000000001,3.5625]
[0.8000000000000002,0.6400000000000002,0.5120000000000002,7.376000000000002,3.4799999999999995]
[0.8500000000000002,0.7225000000000004,0.6141250000000005,7.6355,3.3824999999999994]
[0.9000000000000002,0.8100000000000004,0.7290000000000005,7.832000000000001,3.2699999999999996]
[0.9500000000000003,0.9025000000000005,0.8573750000000008,7.956499999999998,3.1424999999999996]
[1.0000000000000002,1.0000000000000004,1.0000000000000007,8,2.9999999999999996]

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["ベジェ曲線"]
[]
["x=(1-t)3x0+3t(1-t)2x1+3t2(1-t)x2+t3x3"]
["y=(1-t)3y0+3t(1-t)2y1+3t2(1-t)y2+t3y3"]
[]
["制御点 P0(x0,y0), P1(x1,y1), P2(x2,y2), P3(x3,y3)",{"$nulls":4},"（グラフでは□で表示）"]
[null,"P0",null,"P1"]
["ｘ0=",1,"ｘ1=",2]
["ｙ0=",3,"ｙ1=",4]
[]
[null,"P2",null,"P3"]
["ｘ2=",6,"ｘ3=",8]
["ｙ2=",5,"ｙ3=",4]
[]
[]
[]
["t","(1-t)3","3t(1-t)2","3t2(1-t)","t3","x","y"]
[0,1,0,0,0,1,3]
[0.1,0.7290000000000001,0.27390169943749476,0.05790169943749475,0.0010000000000000002,1.6322135954999581,3.5761152949374533]
[0.2,0.5120000000000001,0.44277852522924743,0.15477852522924734,0.008000000000000002,2.3902282018339793,4.113006727063227]
[0.30000000000000004,0.3429999999999999,0.5219016994374948,0.26990169943749476,0.02700000000000001,3.2222135954999582,4.574115294937452]
[0.4,0.216,0.5271056516295154,0.3831056516295154,0.06400000000000002,4.080845213036124,4.927950864665639]
[0.5,0.125,0.475,0.475,0.125,4.925,5.15]
[0.6,0.06400000000000002,0.3831056516295154,0.5271056516295154,0.216,5.720845213036123,5.223950864665638]
[0.7,0.02700000000000001,0.26990169943749476,0.5219016994374948,0.3429999999999999,6.4422135954999575,5.142115294937453]
[0.7999999999999999,0.008000000000000009,0.1547785252292474,0.4427785252292474,0.5119999999999999,7.070228201833978,4.905006727063226]
[0.8999999999999999,0.0010000000000000026,0.05790169943749484,0.273901699437495,0.7289999999999998,7.592213595499958,4.520115294937453]
[0.9999999999999999,1.3684555315672042e-48,5.66604055340925e-17,3.897273129216393e-16,0.9999999999999997,8,4.000000000000001]

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["Bスプライン曲線"]
[null,null,"例えば、P0、P1を使えば、"]
["x=B0x0+B1x1"]
["y=B0y0+B1y1"]
["階数が2（次数が1、つまり1次式）"]
["制御点 Pi(xi,yi)が7つ",null,null,"（グラフでは□で表示）"]
[null,"P0","P1","P2","P3","P4","P5","P6","P7"]
["ｘ=",2,1,2,4,5,4,5,7]
["ｙ=",2,3,5,6,5,3,1,3]
[]
[]
[null,null,"直線","1-t","ｔ"]
[]
[null,"t(0～5）","t（0～1）","B0","B1","B2","B3","B4","B5","x","y"]
["ｔ0",0,0,1,0,{"$nulls":4},2,2]
[null,0.1,0.1,0.9,0.1,{"$nulls":4},1.9000000000000001,2.1]
[null,0.2,0.2,0.8,0.2,{"$nulls":4},1.8,2.2]
[null,0.3,0.3,0.7,0.3,{"$nulls":4},1.7,2.3]
[null,0.4,0.4,0.6,0.4,{"$nulls":4},1.6,2.4000000000000004]
[null,0.5,0.5,0.5,0.5,{"$nulls":4},1.5,2.5]
[null,0.6,0.6,0.4,0.6,{"$nulls":4},1.4,2.5999999999999996]
[null,0.7,0.7,0.30000000000000004,0.7,{"$nulls":4},1.3,2.6999999999999997]
[null,0.8,0.8,0.19999999999999996,0.8,{"$nulls":4},1.2,2.8000000000000003]
[null,0.9,0.9,0.09999999999999998,0.9,{"$nulls":4},1.1,2.9000000000000004]
["ｔ1",1,0,null,1,0,null,null,null,1,3]
[null,1.1,0.1,null,0.9,0.1,null,null,null,1.1,3.2]
[null,1.2,0.2,null,0.8,0.2,null,null,null,1.2000000000000002,3.4000000000000004]
[null,1.3,0.3,null,0.7,0.3,null,null,null,1.2999999999999998,3.5999999999999996]
[null,1.4,0.4,null,0.6,0.4,null,null,null,1.4,3.8]
[null,1.5,0.5,null,0.5,0.5,null,null,null,1.5,4]
[null,1.6,0.6,null,0.4,0.6,null,null,null,1.6,4.2]
[null,1.7,0.7,null,0.30000000000000004,0.7,null,null,null,1.7,4.4]
[null,1.8,0.8,null,0.19999999999999996,0.8,null,null,null,1.8,4.6]
[null,1.9,0.9,null,0.09999999999999998,0.9,null,null,null,1.9,4.8]
["ｔ2",2,0,null,null,1,0,null,null,2,5]
[null,2.1,0.1,null,null,0.9,0.1,null,null,2.2,5.1]
[null,2.2,0.2,null,null,0.8,0.2,null,null,2.4000000000000004,5.2]
[null,2.3,0.3,null,null,0.7,0.3,null,null,2.5999999999999996,5.3]
[null,2.4,0.4,null,null,0.6,0.4,null,null,2.8,5.4]
[null,2.5,0.5,null,null,0.5,0.5,null,null,3,5.5]
[null,2.6,0.6,null,null,0.4,0.6,null,null,3.2,5.6]
[null,2.7,0.7,null,null,0.30000000000000004,0.7,null,null,3.4,5.699999999999999]
[null,2.8,0.8,null,null,0.19999999999999996,0.8,null,null,3.6,5.800000000000001]
[null,2.9,0.9,null,null,0.09999999999999998,0.9,null,null,3.8,5.9]
["ｔ3",3,0,null,null,null,1,0,null,4,6]
[null,3.1,0.1,null,null,null,0.9,0.1,null,4.1,5.9]
[null,3.2,0.2,null,null,null,0.8,0.2,null,4.2,5.800000000000001]
[null,3.3,0.3,null,null,null,0.7,0.3,null,4.3,5.699999999999999]
[null,3.4,0.4,null,null,null,0.6,0.4,null,4.4,5.6]
[null,3.5,0.5,null,null,null,0.5,0.5,null,4.5,5.5]
[null,3.6,0.6,null,null,null,0.4,0.6,null,4.6,5.4]
[null,3.7,0.7,null,null,null,0.30000000000000004,0.7,null,4.7,5.300000000000001]
[null,3.8,0.8,null,null,null,0.19999999999999996,0.8,null,4.8,5.199999999999999]
[null,3.9,0.9,null,null,null,0.09999999999999998,0.9,null,4.9,5.1]
["ｔ4",4,0,{"$nulls":4},1,0,5,5]
[null,4.1,0.1,{"$nulls":4},0.9,0.1,4.9,4.8]
[null,4.2,0.2,{"$nulls":4},0.8,0.2,4.8,4.6]
[null,4.3,0.3,{"$nulls":4},0.7,0.3,4.7,4.4]
[null,4.4,0.4,{"$nulls":4},0.6,0.4,4.6,4.2]
[null,4.5,0.5,{"$nulls":4},0.5,0.5,4.5,4]
[null,4.6,0.6,{"$nulls":4},0.4,0.6,4.4,3.8]
[null,4.7,0.7,{"$nulls":4},0.30000000000000004,0.7,4.3,3.5999999999999996]
[null,4.8,0.8,{"$nulls":4},0.19999999999999996,0.8,4.2,3.4000000000000004]
[null,4.9,0.9,{"$nulls":4},0.09999999999999998,0.9,4.1,3.2]
["ｔ5",5,1,{"$nulls":4},0,1,4,3]

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["Bスプライン曲線"]
[null,null,"例えば、P0、P1、P2を使えば、"]
["x=B0x0+B1x1+B2x2"]
["y=B0y0+B1y1+B2y2"]
["階数が3（次数が2、つまり2次式）"]
["制御点 Pi(xi,yi)が7つ",null,null,"（グラフでは□で表示）"]
[null,"P0","P1","P2","P3","P4","P5","P6","P7"]
["ｘ=",2,1,2,4,5,4,5,7]
["ｙ=",2,3,5,6,5,3,1,3]
[]
[]
[null,null,"曲線（先頭区間）","(1-t)2","-3/2ｔ2+2t","t2/2"]
[null,null,"曲線（中間）","(1-t)2/2","-t2+t+1/2","ｔ2/2"]
[null,null,"曲線（最後区間）","（1-ｔ）2/2","-3/2（1-ｔ）2+2（1-t）","t2"]
[]
[null,"t(0～5）","t（0～1）","B0","B1","B2","B3","B4","B5","B6","x","y"]
["ｔ0",0,0,1,0,0,{"$nulls":4},2,2]
[null,0.1,0.1,0.81,0.185,0.005000000000000001,{"$nulls":4},1.8150000000000002,2.1999999999999997]
[null,0.2,0.2,0.6400000000000001,0.34,0.020000000000000004,{"$nulls":4},1.6600000000000004,2.4000000000000004]
[null,0.3,0.3,0.48999999999999994,0.46499999999999997,0.045,{"$nulls":4},1.535,2.6]
[null,0.4,0.4,0.36,0.56,0.08000000000000002,{"$nulls":4},1.44,2.8000000000000003]
[null,0.5,0.5,0.25,0.625,0.125,{"$nulls":4},1.375,3]
[null,0.6,0.6,0.16000000000000003,0.6599999999999999,0.18,{"$nulls":4},1.3399999999999999,3.1999999999999997]
[null,0.7,0.7,0.09000000000000002,0.665,0.24499999999999997,{"$nulls":4},1.335,3.4000000000000004]
[null,0.8,0.8,0.03999999999999998,0.6399999999999999,0.32000000000000006,{"$nulls":4},1.3599999999999999,3.5999999999999996]
[null,0.9,0.9,0.009999999999999995,0.585,0.405,{"$nulls":4},1.415,3.8000000000000003]
["ｔ1",1,0,null,0.5,0.5,0,null,null,null,1.5,4]
[null,1.1,0.1,null,0.405,0.59,0.005000000000000001,null,null,null,1.605,4.195]
[null,1.2,0.2,null,0.32000000000000006,0.66,0.020000000000000004,null,null,null,1.7200000000000002,4.380000000000001]
[null,1.3,0.3,null,0.24499999999999997,0.71,0.045,null,null,null,1.8449999999999998,4.555]
[null,1.4,0.4,null,0.18,0.74,0.08000000000000002,null,null,null,1.98,4.720000000000001]
[null,1.5,0.5,null,0.125,0.75,0.125,null,null,null,2.125,4.875]
[null,1.6,0.6,null,0.08000000000000002,0.74,0.18,null,null,null,2.2800000000000002,5.0200000000000005]
[null,1.7,0.7,null,0.04500000000000001,0.71,0.24499999999999997,null,null,null,2.445,5.154999999999999]
[null,1.8,0.8,null,0.01999999999999999,0.6599999999999999,0.32000000000000006,null,null,null,2.62,5.28]
[null,1.9,0.9,null,0.0049999999999999975,0.59,0.405,null,null,null,2.8049999999999997,5.395]
["ｔ2",2,0,null,null,0.5,0.5,0,null,null,3,5.5]
[null,2.1,0.1,null,null,0.405,0.59,0.005000000000000001,null,null,3.195,5.590000000000001]
[null,2.2,0.2,null,null,0.32000000000000006,0.66,0.020000000000000004,null,null,3.3800000000000003,5.66]
[null,2.3,0.3,null,null,0.24499999999999997,0.71,0.045,null,null,3.5549999999999997,5.709999999999999]
[null,2.4,0.4,null,null,0.18,0.74,0.08000000000000002,null,null,3.7199999999999998,5.74]
[null,2.5,0.5,null,null,0.125,0.75,0.125,null,null,3.875,5.75]
[null,2.6,0.6,null,null,0.08000000000000002,0.74,0.18,null,null,4.02,5.74]
[null,2.7,0.7,null,null,0.04500000000000001,0.71,0.24499999999999997,null,null,4.154999999999999,5.709999999999999]
[null,2.8,0.8,null,null,0.01999999999999999,0.6599999999999999,0.32000000000000006,null,null,4.28,5.66]
[null,2.9,0.9,null,null,0.0049999999999999975,0.59,0.405,null,null,4.395,5.59]
["ｔ3",3,0,null,null,null,0.5,0.5,0,null,4.5,5.5]
[null,3.1,0.1,null,null,null,0.405,0.59,0.005000000000000001,null,4.59,5.395]
[null,3.2,0.2,null,null,null,0.32000000000000006,0.66,0.020000000000000004,null,4.66,5.28]
[null,3.3,0.3,null,null,null,0.24499999999999997,0.71,0.045,null,4.709999999999999,5.154999999999999]
[null,3.4,0.4,null,null,null,0.18,0.74,0.08000000000000002,null,4.74,5.0200000000000005]
[null,3.5,0.5,null,null,null,0.125,0.75,0.125,null,4.75,4.875]
[null,3.6,0.6,null,null,null,0.08000000000000002,0.74,0.18,null,4.74,4.720000000000001]
[null,3.7,0.7,null,null,null,0.04500000000000001,0.71,0.24499999999999997,null,4.71,4.555]
[null,3.8,0.8,null,null,null,0.01999999999999999,0.6599999999999999,0.32000000000000006,null,4.66,4.38]
[null,3.9,0.9,null,null,null,0.0049999999999999975,0.59,0.405,null,4.59,4.194999999999999]
["ｔ4",4,0,{"$nulls":4},0.5,0.5,0,4.5,4]
[null,4.1,0.1,{"$nulls":4},0.405,0.585,0.010000000000000002,4.415,3.79]
[null,4.2,0.2,{"$nulls":4},0.32000000000000006,0.6399999999999999,0.04000000000000001,4.36,3.56]
[null,4.3,0.3,{"$nulls":4},0.24499999999999997,0.665,0.09,4.335,3.3099999999999996]
[null,4.4,0.4,{"$nulls":4},0.18,0.6599999999999999,0.16000000000000003,4.34,3.04]
[null,4.5,0.5,{"$nulls":4},0.125,0.625,0.25,4.375,2.75]
[null,4.6,0.6,{"$nulls":4},0.08000000000000002,0.56,0.36,4.4399999999999995,2.44]
[null,4.7,0.7,{"$nulls":4},0.04500000000000001,0.4650000000000001,0.48999999999999994,4.535,2.1100000000000003]
[null,4.8,0.8,{"$nulls":4},0.01999999999999999,0.33999999999999997,0.6400000000000001,4.66,1.76]
[null,4.9,0.9,{"$nulls":4},0.0049999999999999975,0.18499999999999997,0.81,4.815,1.3900000000000001]
["ｔ5",5,1,{"$nulls":4},0,0,1,5,1]

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["Bスプライン曲線"]
[null,null,"例えば、P0、P1、P2、P3を使えば、"]
["x=B0x0+B1x1+B2x2+B3x3"]
["y=B0y0+B1y1+B2y2+B3y3"]
["階数が4（次数が3、つまり3次式）"]
["制御点 Pi(xi,yi)が7つ",null,null,"（グラフでは×で表示）"]
[null,"P0","P1","P2","P3","P4","P5","P6","P7"]
["ｘ=",2,1,2,4,5,4,5,7]
["ｙ=",2,3,5,6,5,3,1,3]
[]
[]
[null,null,"曲線（先頭区間）","(1-t)3","7*ｔ3/4-9*ｔ2/2+3*t","-11*ｔ3/12+3*ｔ2/2","t3/6"]
[null,null,"曲線（第2区間）","(1-t)3/4","7*ｔ3/12-5*ｔ2/4+t/4+7/12","-ｔ3/2+ｔ2/2+ｔ/2+1/6","t3/6"]
[null,null,"曲線（中間）","(1-t)3/6","ｔ3/2-ｔ2+2/3","-ｔ3/2+ｔ2/2+t/2+1/6","t3/6"]
[null,null,"曲線（第2'区間）","（1-ｔ）3/6","-(1-ｔ)3/2+(1-ｔ)2/2+(1-ｔ)/2+1/6","7*（１-ｔ）3/12-5*（１-ｔ）2/4+（１-ｔ）/4+7/12","t3/4"]
[null,null,"曲線（最後区間）","（1-ｔ）3/6","-11*(1-ｔ)3/12+3*(1-ｔ)2/2","7*(1-ｔ)3/4-9*(1-ｔ)2/2+3*(1-ｔ)","t3"]
[]
[null,"t(0～5）","t（0～1）","B0","B1","B2","B3","B4","B5","B6","B7","x","y"]
["ｔ0",0,0,1,0,0,0,{"$nulls":4},2,2]
[null,0.1,0.1,0.7290000000000001,0.25675000000000003,0.014083333333333337,0.00016666666666666672,{"$nulls":4},1.7435833333333335,2.2996666666666665]
[null,0.2,0.2,0.5120000000000001,0.43400000000000005,0.052666666666666674,0.0013333333333333337,{"$nulls":4},1.5686666666666669,2.5973333333333337]
[null,0.3,0.3,0.3429999999999999,0.5422499999999999,0.11025000000000001,0.0045,{"$nulls":4},1.4667499999999996,2.8909999999999996]
[null,0.4,0.4,0.216,0.592,0.18133333333333337,0.01066666666666667,{"$nulls":4},1.4293333333333333,3.1786666666666665]
[null,0.5,0.5,0.125,0.59375,0.2604166666666667,0.020833333333333332,{"$nulls":4},1.4479166666666667,3.4583333333333335]
[null,0.6,0.6,0.06400000000000002,0.5579999999999998,0.3420000000000001,0.036,{"$nulls":4},1.514,3.7279999999999998]
[null,0.7,0.7,0.02700000000000001,0.49524999999999997,0.42058333333333325,0.05716666666666665,{"$nulls":4},1.619083333333333,3.985666666666666]
[null,0.8,0.8,0.007999999999999995,0.4159999999999999,0.49066666666666675,0.08533333333333336,{"$nulls":4},1.754666666666667,4.229333333333334]
[null,0.9,0.9,0.0009999999999999994,0.3307500000000001,0.54675,0.12150000000000001,{"$nulls":4},1.91225,4.457]
["ｔ1",1,0,null,0.25,0.5833333333333334,0.16666666666666666,0,null,null,null,2.0833333333333335,4.666666666666667]
[null,1.1,0.1,null,0.18225000000000002,0.5964166666666667,0.22116666666666668,0.00016666666666666672,null,null,null,2.260583333333334,4.856666666666667]
[null,1.2,0.2,null,0.12800000000000003,0.5880000000000001,0.2826666666666667,0.0013333333333333337,null,null,null,2.4413333333333336,5.026666666666668]
[null,1.3,0.3,null,0.08574999999999998,0.5615833333333333,0.3481666666666666,0.0045,null,null,null,2.624083333333333,5.176666666666666]
[null,1.4,0.4,null,0.054,0.5206666666666667,0.4146666666666667,0.01066666666666667,null,null,null,2.8073333333333337,5.3066666666666675]
[null,1.5,0.5,null,0.03125,0.46875000000000006,0.47916666666666663,0.020833333333333332,null,null,null,2.989583333333333,5.416666666666667]
[null,1.6,0.6,null,0.016000000000000004,0.40933333333333344,0.5386666666666666,0.036,null,null,null,3.169333333333334,5.506666666666667]
[null,1.7,0.7,null,0.0067500000000000025,0.3459166666666667,0.5901666666666666,0.05716666666666665,null,null,null,3.345083333333333,5.576666666666667]
[null,1.8,0.8,null,0.0019999999999999987,0.282,0.6306666666666667,0.08533333333333336,null,null,null,3.5153333333333334,5.626666666666667]
[null,1.9,0.9,null,0.00024999999999999984,0.2210833333333333,0.6571666666666667,0.12150000000000001,null,null,null,3.678583333333333,5.656666666666666]
["ｔ2",2,0,null,null,0.16666666666666666,0.6666666666666666,0.16666666666666666,0,null,null,3.833333333333333,5.666666666666666]
[null,2.1,0.1,null,null,0.12150000000000001,0.6571666666666667,0.22116666666666668,0.00016666666666666672,null,null,3.9781666666666666,5.656833333333334]
[null,2.2,0.2,null,null,0.08533333333333336,0.6306666666666666,0.2826666666666667,0.0013333333333333337,null,null,4.112,5.627999999999999]
[null,2.3,0.3,null,null,0.05716666666666665,0.5901666666666666,0.3481666666666666,0.0045,null,null,4.233833333333332,5.5811666666666655]
[null,2.4,0.4,null,null,0.036,0.5386666666666666,0.4146666666666667,0.01066666666666667,null,null,4.342666666666666,5.517333333333333]
[null,2.5,0.5,null,null,0.020833333333333332,0.47916666666666663,0.47916666666666663,0.020833333333333332,null,null,4.437499999999999,5.4375]
[null,2.6,0.6,null,null,0.01066666666666667,0.41466666666666663,0.5386666666666666,0.036,null,null,4.517333333333333,5.342666666666665]
[null,2.7,0.7,null,null,0.004500000000000001,0.3481666666666666,0.5901666666666666,0.05716666666666665,null,null,4.5811666666666655,5.233833333333333]
[null,2.8,0.8,null,null,0.0013333333333333324,0.28266666666666657,0.6306666666666667,0.08533333333333336,null,null,4.627999999999999,5.111999999999999]
[null,2.9,0.9,null,null,0.00016666666666666655,0.22116666666666662,0.6571666666666667,0.12150000000000001,null,null,4.656833333333333,4.978166666666667]
["ｔ3",3,0,null,null,null,0.16666666666666666,0.6666666666666666,0.16666666666666674,0,null,4.666666666666666,4.833333333333333]
[null,3.1,0.1,null,null,null,0.12150000000000001,0.6571666666666667,0.2210833333333333,0.00025000000000000006,null,4.657416666666667,4.678333333333334]
[null,3.2,0.2,null,null,null,0.08533333333333336,0.6306666666666667,0.282,0.0020000000000000005,null,4.632666666666666,4.513333333333333]
[null,3.3,0.3,null,null,null,0.05716666666666665,0.5901666666666666,0.3459166666666667,0.00675,null,4.596916666666667,4.338333333333334]
[null,3.4,0.4,null,null,null,0.036,0.5386666666666666,0.40933333333333344,0.016000000000000004,null,4.554666666666668,4.153333333333334]
[null,3.5,0.5,null,null,null,0.020833333333333332,0.47916666666666663,0.46875000000000006,0.03125,null,4.510416666666667,3.958333333333333]
[null,3.6,0.6,null,null,null,0.01066666666666667,0.4146666666666667,0.5206666666666667,0.054,null,4.4686666666666675,3.7533333333333334]
[null,3.7,0.7,null,null,null,0.004500000000000001,0.3481666666666667,0.5615833333333333,0.08574999999999998,null,4.433916666666667,3.538333333333333]
[null,3.8,0.8,null,null,null,0.0013333333333333324,0.2826666666666666,0.5880000000000001,0.12800000000000003,null,4.410666666666668,3.3133333333333335]
[null,3.9,0.9,null,null,null,0.00016666666666666655,0.22116666666666665,0.5964166666666667,0.18225000000000002,null,4.403416666666667,3.078333333333333]
["ｔ4",4,0,{"$nulls":4},0.16666666666666666,0.5833333333333334,0.25,0,4.416666666666667,2.833333333333333]
[null,4.1,0.1,{"$nulls":4},0.12150000000000001,0.54675,0.3307500000000001,0.0010000000000000002,4.4552499999999995,2.5815]
[null,4.2,0.2,{"$nulls":4},0.08533333333333336,0.49066666666666675,0.4159999999999999,0.008000000000000002,4.525333333333333,2.3386666666666667]
[null,4.3,0.3,{"$nulls":4},0.05716666666666665,0.42058333333333325,0.49524999999999997,0.027,4.633416666666666,2.123833333333333]
[null,4.4,0.4,{"$nulls":4},0.036,0.3420000000000001,0.5579999999999998,0.06400000000000002,4.786,1.956]
[null,4.5,0.5,{"$nulls":4},0.020833333333333332,0.2604166666666667,0.59375,0.125,4.989583333333334,1.8541666666666665]
[null,4.6,0.6,{"$nulls":4},0.01066666666666667,0.18133333333333337,0.592,0.216,5.2506666666666675,1.8373333333333335]
[null,4.7,0.7,{"$nulls":4},0.004500000000000001,0.11025000000000003,0.54225,0.3429999999999999,5.575749999999999,1.9244999999999999]
[null,4.8,0.8,{"$nulls":4},0.0013333333333333324,0.05266666666666664,0.43399999999999994,0.5120000000000001,5.971333333333334,2.134666666666667]
[null,4.9,0.9,{"$nulls":4},0.00016666666666666655,0.014083333333333326,0.25675,0.7290000000000001,6.443916666666667,2.4868333333333337]
["ｔ5",5,1,{"$nulls":4},0,0,0,1,7,3]

{"sheet":"Bスプライン3次 （行列積で求める）","index":11,"n_rows":70,"n_cols":10,"rows_kept":70,"cut":false,"hidden":false,"merged":[[3,0,3,4],[2,0,2,4],[0,0,0,2]],"flags":["formulas_cached_only"]}
["Bスプライン曲線"]
[null,null,"例えば、P0、P1、P2、P3を使えば、"]
["x=B0x0+B1x1+B2x2+B3x3"]
["y=B0y0+B1y1+B2y2+B3y3"]
["階数が4（次数が3、つまり3次式）"]
["制御点 Pi(xi,yi)が7つ",null,null,"（グラフでは□で表示）"]
[null,"P0","P1","P2","P3","P4","P5","P6","P7"]
["ｘ=",2,1,2,4,5,4,5,7]
["ｙ=",2,3,5,6,5,3,1,3]
[]
[]
[null,null,"曲線（先頭区間）","(1-t)3","7*ｔ3/4-9*ｔ2/2+3*t","-11*ｔ3/12+3*ｔ2/2","t3/6"]
[null,null,"曲線（第2区間）","(1-t)3/4","7*ｔ3/12-5*ｔ2/4+t/4+7/12","-ｔ3/2+ｔ2/2+ｔ/2+1/6","t3/6"]
[null,null,"曲線（中間）","(1-t)3/6","ｔ3/2-ｔ2+2/3","-ｔ3/2+ｔ2/2+t/2+1/6","t3/6"]
[null,null,"曲線（第2'区間）","（1-ｔ）3/6","-(1-ｔ)3/2+(1-ｔ)2/2+(1-ｔ)/2+1/6","7*（１-ｔ）3/12-5*（１-ｔ）2/4+（１-ｔ）/4+7/12","t3/4"]
[null,null,"曲線（最後区間）","（1-ｔ）3/6","-11*(1-ｔ)3/12+3*(1-ｔ)2/2","7*(1-ｔ)3/4-9*(1-ｔ)2/2+3*(1-ｔ)","t3"]
[]
[null,null,null,"↓係数行列との掛け算より"]
["t","t2","t3","x","y"]
[0,0,0,2,2,null,"係数行列A"]
[0.1,0.010000000000000002,0.0010000000000000002,1.7435833333333333,2.2996666666666665,null,-1,3,-3,1]
[0.2,0.04000000000000001,0.008000000000000002,1.5686666666666667,2.5973333333333333,null,1.75,-4.5,3,0]
[0.3,0.09,0.027,1.46675,2.891,null,-0.9166666666666666,1.5,0,0]
[0.4,0.16000000000000003,0.06400000000000002,1.4293333333333333,3.1786666666666665,null,0.16666666666666666,0,0,0]
[0.5,0.25,0.125,1.4479166666666667,3.4583333333333335]
[0.6,0.36,0.216,1.5140000000000002,3.7279999999999998]
[0.7,0.48999999999999994,0.3429999999999999,1.6190833333333334,3.9856666666666665]
[0.8,0.6400000000000001,0.5120000000000001,1.754666666666667,4.229333333333334]
[0.9,0.81,0.7290000000000001,1.9122500000000002,4.457000000000001]
[0,0,0,2.0833333333333335,4.666666666666667,null,"係数行列B"]
[0.1,0.010000000000000002,0.0010000000000000002,2.2605833333333334,4.856666666666667,null,-0.25,0.75,-0.75,0.25]
[0.2,0.04000000000000001,0.008000000000000002,2.4413333333333336,5.026666666666667,null,0.5833333333333334,-1.25,0.25,0.5833333333333334]
[0.3,0.09,0.027,2.6240833333333335,5.176666666666667,null,-0.5,0.5,0.5,0.16666666666666666]
[0.4,0.16000000000000003,0.06400000000000002,2.8073333333333337,5.306666666666667,null,0.16666666666666666,0,0,0]
[0.5,0.25,0.125,2.9895833333333335,5.416666666666667]
[0.6,0.36,0.216,3.1693333333333333,5.506666666666667]
[0.7,0.48999999999999994,0.3429999999999999,3.345083333333333,5.576666666666667]
[0.8,0.6400000000000001,0.5120000000000001,3.5153333333333334,5.626666666666667]
[0.9,0.81,0.7290000000000001,3.6785833333333335,5.656666666666667]
[0,0,0,3.833333333333333,5.666666666666666,null,"係数行列C"]
[0.1,0.010000000000000002,0.0010000000000000002,3.978166666666666,5.656833333333333,null,-0.16666666666666666,0.5,-0.5,0.16666666666666666]
[0.2,0.04000000000000001,0.008000000000000002,4.112,5.627999999999999,null,0.5,-1,0,0.6666666666666666]
[0.3,0.09,0.027,4.233833333333333,5.581166666666666,null,-0.5,0.5,0.5,0.16666666666666666]
[0.4,0.16000000000000003,0.06400000000000002,4.342666666666666,5.517333333333332,null,0.16666666666666666,0,0,0]
[0.5,0.25,0.125,4.4375,5.437499999999999]
[0.6,0.36,0.216,4.517333333333333,5.342666666666666]
[0.7,0.48999999999999994,0.3429999999999999,4.581166666666666,5.233833333333333]
[0.8,0.6400000000000001,0.5120000000000001,4.628,5.111999999999999]
[0.9,0.81,0.7290000000000001,4.656833333333333,4.978166666666667]
[0,0,0,4.666666666666666,4.833333333333333,null,"係数行列D"]
[0.1,0.010000000000000002,0.0010000000000000002,4.657416666666666,4.678333333333333,null,-0.16666666666666666,0.5,-0.5,0.16666666666666666]
[0.2,0.04000000000000001,0.008000000000000002,4.632666666666666,4.513333333333333,null,0.5,-1,0,0.6666666666666666]
[0.3,0.09,0.027,4.596916666666666,4.338333333333333,null,-0.5833333333333334,0.5,0.5,0.16666666666666666]
[0.4,0.16000000000000003,0.06400000000000002,4.554666666666666,4.153333333333332,null,0.25,0,0,0]
[0.5,0.25,0.125,4.510416666666666,3.958333333333333]
[0.6,0.36,0.216,4.468666666666666,3.753333333333333]
[0.7,0.48999999999999994,0.3429999999999999,4.433916666666666,3.538333333333333]
[0.8,0.6400000000000001,0.5120000000000001,4.410666666666666,3.3133333333333326]
[0.9,0.81,0.7290000000000001,4.403416666666666,3.078333333333333]
[0,0,0,4.416666666666667,2.833333333333333,null,"係数行列E"]
[0.1,0.010000000000000002,0.0010000000000000002,4.45525,2.5814999999999997,null,-0.16666666666666666,0.5,-0.5,0.16666666666666666]
[0.2,0.04000000000000001,0.008000000000000002,4.525333333333333,2.3386666666666662,null,0.9166666666666666,-1.25,-0.25,0.5833333333333334]
[0.3,0.09,0.027,4.633416666666667,2.123833333333333,null,-1.75,0.75,0.75,0.25]
[0.4,0.16000000000000003,0.06400000000000002,4.7860000000000005,1.9559999999999997,null,1,0,0,0]
[0.5,0.25,0.125,4.989583333333334,1.8541666666666665]
[0.6,0.36,0.216,5.250666666666667,1.837333333333333]
[0.7,0.48999999999999994,0.3429999999999999,5.57575,1.9244999999999997]
[0.8,0.6400000000000001,0.5120000000000001,5.971333333333334,2.134666666666667]
[0.9,0.81,0.7290000000000001,6.4439166666666665,2.4868333333333332]
[1,1,1,7,3]