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實驗內容
- 產生-1···1間隔爲0.05的向量 x⃗
- 計算方程y=x2+3
- 繪製函數y=x2+3 的函數圖像
- 隨機產生大小爲30*30的隨機矩陣A
- 繪製箱形圖
- 在矩陣A 中隨機選擇100個數據
- 用100個2-8之間的隨機數替換矩陣A中的數據
- 重新繪製箱形圖
- 取出異常值的點
- 矩陣歸一化(標準化)
產生-1···1間隔爲0.05的向量 x⃗
import numpy as np
x=np.linspace(-1,1,41)
print("x的值爲:\n",x)
x的值爲:
[-1. -0.95 -0.9 -0.85 -0.8 -0.75 -0.7 -0.65 -0.6 -0.55 -0.5 -0.45
-0.4 -0.35 -0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0. 0.05 0.1 0.15
0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75
0.8 0.85 0.9 0.95 1. ]
計算方程y=x2+3
y=x*x+3
print("y的值爲:\n",y)
y的值爲:
[ 4. 3.9025 3.81 3.7225 3.64 3.5625 3.49 3.4225 3.36
3.3025 3.25 3.2025 3.16 3.1225 3.09 3.0625 3.04 3.0225
3.01 3.0025 3. 3.0025 3.01 3.0225 3.04 3.0625 3.09
3.1225 3.16 3.2025 3.25 3.3025 3.36 3.4225 3.49 3.5625
3.64 3.7225 3.81 3.9025 4. ]
繪製函數y=x2+3 的函數圖像
import matplotlib.pyplot as plt
plt.plot(x,y)
plt.show()
隨機產生大小爲30*30的隨機矩陣A
A=np.random.random((30,30))
print("矩陣A的值如下:\n",A)
矩陣A的值如下:
[[ 4.53616512e-01 8.61856377e-02 5.30296845e-01 2.40709187e-01
3.80793044e-01 5.12444653e-01 7.76249207e-01 2.34136529e-01
7.37731641e-01 5.32085033e-01 2.37284517e-01 5.43014312e-01
2.55230539e-01 1.46512943e-01 5.11529807e-02 4.43609645e-01
8.56999978e-02 1.40347620e-02 4.02022461e-02 1.90870830e-01
3.49564773e-01 1.36749795e-02 1.55291591e-02 5.09445687e-01
3.62207023e-01 7.20922722e-01 8.54771022e-01 6.61434389e-01
4.86238090e-01 9.79529452e-01]
[ 8.05428682e-02 3.29047793e-01 6.43698673e-01 9.04277168e-01
9.78384264e-01 3.37353494e-01 7.39358067e-01 3.55182658e-01
9.89687095e-01 6.14935945e-01 6.52728677e-01 8.43784174e-01
5.13862865e-01 9.99091787e-01 2.00922546e-01 5.76144358e-01
2.56320016e-01 9.22332892e-01 3.08547956e-01 5.79930649e-01
3.06355198e-01 2.61417887e-01 4.32863769e-01 4.31994524e-01
4.83047584e-01 2.63712956e-01 8.35141356e-01 7.59380113e-01
2.59410702e-02 3.29845339e-01]
[ 2.30571181e-01 4.26744408e-01 9.81635240e-02 7.26050569e-01
9.63056915e-01 8.76546558e-01 9.08892112e-01 3.52611078e-01
9.09544008e-01 6.62110762e-01 3.52487518e-01 6.94414615e-01
4.20141358e-01 5.51120540e-01 5.02641235e-01 9.94162126e-01
8.28955641e-01 1.58701251e-01 6.36350737e-01 9.10921055e-01
2.07573003e-01 9.85773749e-01 3.10852943e-01 5.63833568e-01
3.99233825e-01 7.07604940e-01 4.11989283e-01 2.11779969e-01
2.43610690e-01 4.43425323e-01]
[ 9.99816333e-01 9.54144593e-01 9.27052004e-02 1.98800151e-01
8.32015236e-01 3.43349579e-01 4.23569167e-01 3.93889508e-01
7.36906066e-02 6.55602433e-02 5.05280247e-01 4.71164886e-01
8.09818357e-01 3.85184812e-01 2.99313245e-01 9.17596868e-01
8.19968098e-01 5.06040711e-01 1.63083626e-01 6.26927790e-01
3.45427452e-01 4.51662512e-01 4.47094750e-01 7.28558869e-01
5.29173761e-01 7.42919754e-01 7.75147259e-01 2.76066769e-01
5.72056816e-01 4.06856582e-01]
[ 2.39926078e-01 9.42964547e-01 3.62383639e-01 1.16162214e-01
9.34517505e-02 1.96429296e-01 5.81058059e-01 5.76398884e-01
4.12430328e-01 5.14769968e-01 3.87464608e-02 6.16932645e-01
3.74895218e-01 4.08285312e-01 8.98018119e-01 6.49249389e-01
4.08645760e-01 6.07959661e-01 2.64660816e-01 7.15983366e-01
7.61795316e-01 3.83236144e-01 9.32311048e-02 2.57465746e-01
6.51411403e-01 3.91861222e-02 4.45628558e-01 6.89695145e-02
3.32177995e-01 7.44112520e-01]
[ 6.43471306e-01 6.17741574e-01 1.55804821e-01 9.22755924e-01
2.66214452e-01 5.46513450e-01 6.97813914e-01 9.27087146e-01
9.36551648e-02 7.29070670e-01 9.42267932e-01 5.09140319e-01
6.71722116e-01 5.03256039e-01 7.31127481e-01 8.97427376e-01
5.02539040e-01 9.30951032e-01 4.86339289e-01 2.00832478e-01
2.75863215e-01 9.49220128e-01 4.22106193e-01 4.14502322e-01
5.10837783e-01 4.93701826e-02 1.06916975e-01 9.51495023e-01
5.94213555e-01 6.89806343e-01]
[ 5.32218072e-02 6.02419805e-01 7.38856389e-01 9.98442237e-01
1.56077273e-01 4.87020904e-02 3.09644991e-01 4.28412070e-01
6.11152002e-01 2.49624942e-01 6.73371621e-01 8.84300346e-01
3.64988087e-01 2.97069991e-01 8.91698891e-02 9.72148415e-01
1.83263010e-01 4.77501078e-01 3.36176277e-01 7.34401939e-01
1.50419950e-01 5.67514580e-01 2.14384487e-01 1.49284933e-01
9.62571748e-01 6.98850409e-01 4.06660190e-01 2.66242175e-01
1.97436047e-01 9.19230005e-02]
[ 4.92163478e-01 4.04041328e-02 8.97353508e-01 8.08023666e-01
4.93427777e-01 5.14718018e-01 3.20256944e-01 8.87970629e-01
1.35702605e-01 4.06703359e-01 8.20521000e-01 7.38040864e-01
6.87990092e-01 3.12543181e-01 3.64128296e-02 1.48135257e-02
1.27754601e-01 2.39116580e-01 9.76091465e-01 8.78382275e-01
2.36204538e-01 9.35121634e-01 7.51336126e-01 9.92495197e-01
9.21466098e-02 7.07920725e-01 2.91044917e-02 4.31194945e-01
2.18753970e-01 1.63930148e-01]
[ 7.74691502e-02 6.74049501e-01 1.55214880e-01 2.11899380e-01
3.78710508e-01 9.22175118e-01 6.02138278e-01 5.92256022e-01
7.48140873e-01 2.35083541e-01 6.24699145e-01 8.34894787e-01
3.82181188e-01 9.72445952e-01 1.20026772e-01 3.48326547e-01
9.70255887e-01 2.43615320e-01 2.06208181e-01 5.44878636e-01
3.05449030e-01 2.91951615e-01 5.46684064e-01 9.48980732e-01
6.64767781e-01 5.67475644e-01 5.09257465e-01 3.56680706e-01
7.22255973e-01 9.11089785e-01]
[ 3.21182533e-01 9.16638588e-01 6.76410717e-01 9.41517597e-01
7.85639509e-01 8.48501654e-01 5.99196471e-01 1.58926672e-01
4.34277230e-01 4.16950439e-01 2.51455848e-01 7.95457231e-01
9.76156840e-02 1.74863285e-01 4.90367785e-02 6.05955463e-01
9.26109633e-01 9.07404004e-02 8.77772522e-01 8.95524862e-01
2.89990588e-01 8.86465212e-01 5.65386924e-01 5.22506072e-01
8.04800048e-01 9.58401188e-01 8.76650733e-01 4.36407544e-01
4.35897366e-01 4.21282791e-02]
[ 6.21116836e-01 8.07177698e-01 1.99283616e-01 7.16818426e-01
6.30444834e-02 7.49011209e-01 2.21690981e-01 5.44367055e-01
5.91085937e-01 5.14665559e-01 3.68442130e-02 5.86838238e-01
1.21144411e-01 7.09006717e-01 8.11781165e-01 7.00584451e-01
7.89617766e-01 4.06169539e-01 5.14643019e-02 4.44259476e-01
6.31164737e-01 4.20459160e-01 9.42240139e-01 8.30847879e-01
9.18140543e-01 3.81760300e-01 7.92373991e-01 2.31860280e-01
9.46354518e-01 3.75202416e-01]
[ 5.50930948e-01 5.08670635e-01 4.12958665e-01 4.36796314e-01
8.26977236e-01 7.04207320e-01 8.65431131e-01 2.77627445e-02
1.01041029e-01 8.85477001e-01 6.80298595e-01 6.85517308e-01
3.35492988e-01 9.82730241e-01 8.55022983e-01 5.92955204e-01
8.71390552e-01 5.31295976e-01 3.51609401e-01 7.82383030e-01
2.29179469e-01 6.63823281e-01 7.60393628e-01 1.15952071e-01
5.77078024e-01 6.56804462e-01 4.49028121e-01 7.76892668e-01
5.45501189e-01 1.88388244e-01]
[ 8.93321932e-01 5.06845012e-01 4.31313349e-01 7.21035303e-01
7.75078545e-01 4.90340136e-01 6.64095207e-01 3.14882243e-01
5.74882474e-01 8.54914351e-02 2.29522387e-01 9.65280601e-01
9.67513077e-01 6.25049516e-01 2.26272879e-01 5.05133084e-01
1.24498845e-01 6.63466349e-01 6.10403864e-01 2.94241823e-01
8.65689955e-01 4.34987399e-01 8.28707010e-01 1.01292002e-01
3.02191420e-01 5.35683842e-01 5.56497358e-01 9.00283773e-01
5.96933997e-01 2.31266052e-01]
[ 2.00869929e-01 6.87700525e-01 7.90943405e-01 9.10485711e-01
7.87919712e-01 2.03655881e-01 9.75773927e-01 1.72425760e-01
4.62551856e-01 7.22217868e-01 4.66064643e-01 3.44048626e-01
3.41570252e-02 9.58185691e-01 1.52693097e-01 8.75948809e-01
4.46630485e-01 5.23765262e-02 2.08511371e-01 1.35768752e-01
7.49602964e-01 7.75047315e-01 6.87546078e-01 7.06606352e-01
9.85517606e-01 9.11915992e-01 7.66633068e-01 2.31048238e-02
1.08736893e-01 5.58991586e-01]
[ 2.96840541e-01 6.01733831e-01 5.62589916e-01 1.27314644e-01
1.13768259e-01 9.50645442e-01 9.53214950e-01 2.83338887e-01
2.95641344e-01 9.93932973e-01 4.42558575e-01 3.17861786e-01
3.51950557e-01 8.92850899e-01 5.81888813e-01 2.10892625e-01
4.56231395e-01 7.60233098e-01 3.59024995e-01 8.14496584e-02
8.08914162e-01 4.89421226e-01 4.29617282e-02 5.52092487e-01
3.00890697e-01 4.28424067e-01 6.42356021e-01 8.21989997e-01
4.47340679e-01 8.68804071e-01]
[ 7.51434264e-02 5.52199181e-01 9.19969731e-01 8.51645064e-01
7.51345120e-01 8.77583973e-02 9.26237637e-01 2.19150644e-01
4.08092718e-01 8.95639695e-01 7.72171088e-01 7.81289427e-01
2.28178777e-01 9.30077181e-01 4.19585312e-01 2.44097381e-01
3.28357999e-01 2.78507064e-01 2.50209896e-01 6.18202201e-01
3.76463753e-01 1.50530003e-01 1.64497915e-02 7.64922531e-01
4.33333915e-01 2.41891409e-01 8.71962571e-01 2.44459216e-01
6.80981330e-01 7.93827145e-02]
[ 7.15641268e-01 1.08778058e-01 1.43065234e-01 6.06117137e-02
3.52391605e-01 4.57280126e-01 5.97049130e-02 3.38956592e-01
7.63581333e-02 3.50854759e-02 7.00528695e-01 2.95021393e-01
4.90013140e-01 9.30788482e-02 7.12322005e-01 9.91398196e-01
4.53065103e-01 4.56423547e-01 6.44709211e-01 7.95039261e-01
2.63550937e-01 8.72979053e-01 6.02756601e-01 8.20349587e-01
4.42687363e-01 4.15039370e-01 3.77932183e-01 6.99109985e-01
4.09672573e-01 4.39442030e-01]
[ 8.69197298e-01 9.07443285e-01 5.19416725e-01 9.11409180e-01
9.43908561e-01 6.97959165e-01 1.01214443e-02 4.07776022e-01
3.18161837e-01 9.69083641e-01 4.17196181e-01 5.59609874e-01
3.56169798e-01 1.98155329e-01 3.94955679e-01 9.30078279e-01
5.78033741e-01 2.52016826e-01 2.46647276e-01 1.51569453e-01
3.02141955e-01 4.64109118e-01 2.67262841e-01 1.24807089e-01
4.47991317e-02 8.13420922e-01 9.58181195e-01 6.99010660e-01
4.07442362e-01 2.28984931e-02]
[ 6.61338041e-01 2.12272427e-01 7.64864438e-01 7.55082985e-01
3.48673856e-01 9.78532791e-01 5.92922844e-01 6.53760924e-01
4.69817517e-01 2.56273368e-04 2.64391029e-01 7.92326472e-01
1.29054694e-01 9.31478284e-01 4.72295157e-01 5.25253644e-01
3.51249557e-01 1.48566635e-01 9.30453592e-02 2.07509038e-01
6.33090819e-01 3.62103636e-01 3.21144254e-01 2.25883439e-01
7.75169780e-01 7.62152905e-01 6.77181513e-01 1.64748671e-02
6.12548462e-01 4.56932476e-02]
[ 3.20290004e-01 7.27256148e-01 5.45365434e-01 1.96168627e-01
6.85802061e-01 5.23252138e-01 4.48142896e-01 3.19309597e-01
5.48176968e-01 2.35829729e-02 9.82867574e-01 9.08310947e-01
5.49149903e-01 4.15238294e-01 6.05819233e-01 8.65470202e-01
1.11739451e-01 1.08267712e-01 4.98257156e-01 3.56629471e-01
9.41341536e-03 3.05008479e-01 8.16168413e-01 9.48102040e-02
7.50932676e-01 6.69112363e-01 1.83362938e-01 7.82888544e-01
8.63846310e-01 2.34528133e-01]
[ 1.84891506e-01 4.51219830e-01 5.13826310e-01 3.55793464e-01
2.45823661e-01 7.04971589e-01 8.95052295e-01 4.17752236e-01
7.76837959e-01 5.91999492e-01 8.72210980e-01 4.44022284e-02
5.42007566e-01 4.16450937e-02 8.53561806e-01 2.74497127e-01
9.72187767e-02 5.99012242e-01 1.89006935e-01 5.77265135e-01
7.65140750e-01 3.37124472e-01 6.83048394e-01 1.87602142e-01
2.22835564e-01 9.20850308e-01 8.17093122e-01 8.72940746e-01
6.96461233e-01 5.18271135e-01]
[ 9.02221159e-01 1.14513931e-01 9.66066075e-01 7.88829039e-01
1.98595990e-01 2.21929682e-01 3.09277271e-01 8.87202801e-01
1.08053652e-01 4.16926038e-01 7.48826302e-01 7.14149846e-01
8.80779068e-01 8.57765275e-01 2.89985384e-02 2.25838293e-01
4.17293200e-01 1.47195080e-01 3.58288761e-01 2.04777755e-01
6.77519956e-01 7.86149744e-01 5.92319049e-01 5.99871573e-01
3.43204099e-01 9.27673935e-01 3.19651902e-01 8.41224156e-01
9.88279049e-02 6.43836841e-01]
[ 3.87612342e-01 1.70807796e-01 7.67897332e-01 2.24797633e-01
5.06193819e-01 2.14355388e-01 6.12697997e-01 6.21282240e-01
1.59679180e-02 3.25166938e-02 6.43530600e-01 1.88851400e-01
4.15766705e-01 4.46564746e-01 2.16015097e-01 5.10646883e-01
3.56884165e-01 8.01031596e-01 1.66534128e-02 6.66527471e-01
2.42282043e-01 5.17458457e-01 5.50464819e-01 7.87807608e-01
2.23473758e-02 2.20700509e-01 1.40911197e-01 9.91758577e-01
2.06179273e-01 1.17518816e-01]
[ 6.58991469e-01 3.59322239e-01 6.93837890e-01 8.22961009e-01
1.67662121e-01 9.72824073e-01 4.31251898e-01 3.43954893e-01
3.99413215e-01 4.94253122e-01 3.44591218e-01 3.72417721e-01
8.32728611e-01 8.50708346e-01 3.95309898e-01 9.97422750e-01
4.87806927e-01 3.05109341e-01 1.07476215e-01 6.19426820e-01
1.11747084e-01 4.63139395e-01 5.94526626e-01 2.06573180e-01
2.69019255e-01 7.76018961e-01 4.45196546e-01 5.71212084e-01
8.07842839e-01 8.10271267e-01]
[ 1.06867645e-01 4.57428917e-01 4.34235980e-01 7.53264849e-01
4.67501894e-01 1.71249448e-01 4.83651170e-01 4.57952940e-01
9.06379678e-01 8.05780125e-01 6.73169460e-01 2.02237933e-01
8.81433640e-01 8.84452252e-01 5.67036598e-01 7.85603011e-01
5.79736202e-01 7.25599159e-01 2.17162139e-02 6.43593946e-02
9.50769118e-01 2.31827468e-01 4.56015424e-01 4.73970810e-01
1.57328571e-02 7.21381541e-01 8.92268368e-01 1.93330371e-01
6.89074614e-02 7.65966217e-01]
[ 7.82437644e-01 2.54459673e-01 9.02079728e-01 5.67139521e-01
4.00032868e-02 6.48205549e-02 8.93877971e-01 6.69116279e-01
7.95481194e-01 7.01110590e-01 9.52227287e-01 9.72121243e-01
6.04902690e-01 2.27865967e-01 7.00373041e-01 9.93682670e-01
9.27324035e-01 5.11124077e-02 6.53801527e-01 6.58840976e-01
1.32423431e-01 9.34313383e-01 4.72065925e-01 3.85674209e-01
1.68735899e-02 1.67336961e-01 7.87053695e-01 1.37380024e-01
2.59411164e-01 4.45648754e-01]
[ 4.37207188e-01 9.76078648e-01 6.41505203e-02 6.91480284e-01
9.41067905e-01 5.78125538e-01 3.51655903e-01 1.10825699e-01
3.59069326e-01 4.85588840e-01 7.06675832e-02 9.69198366e-01
1.01344795e-01 5.50283930e-02 6.46080615e-01 2.32338401e-01
3.06876012e-02 3.44350700e-01 7.84279560e-01 1.80047561e-01
8.27848957e-01 3.69625988e-01 9.99479285e-01 6.19765981e-01
9.09865433e-01 2.14700309e-01 4.25524239e-01 8.77926018e-01
1.91743005e-01 4.95813013e-02]
[ 8.01118976e-01 5.32619244e-01 6.82402234e-01 3.94839305e-01
1.89424285e-01 3.50702685e-01 3.50710334e-01 1.83442752e-01
3.83169199e-01 1.89545667e-01 5.66477118e-01 2.23782890e-01
9.85683773e-01 2.26306415e-01 8.49209178e-01 4.46919780e-01
8.48461459e-01 7.64945770e-01 3.81615683e-01 1.76282819e-01
2.68170215e-01 4.94595789e-01 2.79779765e-01 2.57003998e-02
2.02865152e-01 1.86914371e-01 6.93042554e-01 7.86875188e-01
5.01200649e-01 6.40610938e-01]
[ 1.20922431e-01 6.68419768e-01 9.20904816e-01 6.85238938e-01
1.66591278e-01 9.68874299e-01 7.86469826e-01 2.00759024e-01
9.57520976e-01 7.14797232e-01 8.42330656e-02 1.91968081e-01
9.22140887e-02 9.71800677e-02 3.58655119e-02 4.00498931e-01
3.56510889e-01 4.96265343e-01 9.30854095e-01 6.40885803e-01
2.43240043e-01 3.30122315e-01 3.86542719e-01 4.18976678e-01
6.15132760e-01 3.71951212e-01 1.22695675e-01 9.78088830e-01
3.77961648e-01 1.16711394e-02]
[ 1.44267261e-01 3.28952740e-01 5.49040368e-01 7.15072799e-01
5.11284135e-01 4.23522401e-01 4.64180874e-01 9.44049553e-01
6.59293044e-01 1.24652030e-02 8.60927647e-01 4.75932952e-01
8.70098627e-01 9.24967149e-01 9.14747851e-01 1.42456714e-01
7.22457496e-01 3.04584552e-01 4.45504562e-01 7.97074894e-01
8.77306560e-01 9.88679647e-01 2.07693817e-01 3.33057365e-01
8.10846347e-01 2.02307650e-01 1.92231409e-01 6.16916762e-01
9.93207359e-02 2.59073134e-01]]
繪製箱形圖
import pandas as pd
df=pd.DataFrame(A)
df.boxplot()
plt.ylabel('y')
plt.xlabel('x')
plt.title('$A$')
plt.show()
在矩陣A 中隨機選擇100個數據
B=A.reshape(900,)
import random
C=random.sample(range(0,901),100)
BB=B[C]
print("隨機選擇的數據如下:\n",BB)
隨機選擇的數據如下:
[ 0.69383789 0.90831095 0.6740495 0.95840119 0.69441462 0.91996973
0.72138154 0.2160151 0.60213828 0.35688416 0.76494577 0.8199681
0.35662947 0.18489151 0.9688743 0.98867965 0.65929304 0.48365117
0.49626534 0.50604071 0.54436706 0.95222729 0.90744328 0.20750904
0.93095103 0.22817878 0.75326485 0.80480005 0.23728452 0.14651294
0.77689267 0.34395489 0.21227243 0.19743605 0.80981836 0.73804086
0.39923382 0.64383684 0.42674441 0.21438449 0.26901926 0.59225602
0.38567421 0.77683796 0.61040386 0.14426726 0.90889211 0.51941673
0.17486329 0.09718007 0.46750189 0.34832655 0.37646375 0.04903678
0.99947929 0.50325604 0.39941322 0.30927727 0.19087083 0.31816184
0.8654702 0.99368267 0.04569325 0.20286515 0.16393015 0.76514075
0.7621529 0.5929552 0.22070051 0.84378417 0.70420732 0.8691973
0.22630641 0.02594107 0.17628282 0.7909434 0.94898073 0.79232647
0.35932224 0.81178116 0.22283556 0.58105806 0.96606607 0.24664728
0.1409112 0.94296455 0.1964293 0.98286757 0.02899854 0.24582366
0.78687519 0.74901121 0.54668406 0.01367498 0.84920918 0.82199
0.78427956 0.58683824 0.97609146 0.38654272]
用100個2-8之間的隨機數替換矩陣A中的數據
D=[random.randint(2,8) for i in range(100)]
B[C]=D
print("替換後的矩陣A爲:\n",A)
替換後的矩陣A爲:
[[ 4.53616512e-01 8.61856377e-02 5.30296845e-01 2.40709187e-01
3.80793044e-01 5.12444653e-01 7.76249207e-01 2.34136529e-01
7.37731641e-01 5.32085033e-01 4.00000000e+00 5.43014312e-01
2.55230539e-01 6.00000000e+00 5.11529807e-02 4.43609645e-01
8.56999978e-02 1.40347620e-02 4.02022461e-02 2.00000000e+00
3.49564773e-01 7.00000000e+00 1.55291591e-02 5.09445687e-01
3.62207023e-01 7.20922722e-01 8.54771022e-01 6.61434389e-01
4.86238090e-01 9.79529452e-01]
[ 8.05428682e-02 3.29047793e-01 6.43698673e-01 9.04277168e-01
9.78384264e-01 3.37353494e-01 7.39358067e-01 3.55182658e-01
9.89687095e-01 6.14935945e-01 6.52728677e-01 7.00000000e+00
5.13862865e-01 9.99091787e-01 2.00922546e-01 5.76144358e-01
2.56320016e-01 9.22332892e-01 3.08547956e-01 5.79930649e-01
3.06355198e-01 2.61417887e-01 4.32863769e-01 4.31994524e-01
4.83047584e-01 2.63712956e-01 8.35141356e-01 7.59380113e-01
7.00000000e+00 3.29845339e-01]
[ 2.30571181e-01 4.00000000e+00 9.81635240e-02 7.26050569e-01
9.63056915e-01 8.76546558e-01 5.00000000e+00 3.52611078e-01
9.09544008e-01 6.62110762e-01 3.52487518e-01 4.00000000e+00
4.20141358e-01 5.51120540e-01 5.02641235e-01 9.94162126e-01
8.28955641e-01 1.58701251e-01 6.36350737e-01 9.10921055e-01
2.07573003e-01 9.85773749e-01 3.10852943e-01 5.63833568e-01
8.00000000e+00 7.07604940e-01 4.11989283e-01 2.11779969e-01
2.43610690e-01 4.43425323e-01]
[ 9.99816333e-01 9.54144593e-01 9.27052004e-02 1.98800151e-01
8.32015236e-01 3.43349579e-01 4.23569167e-01 3.93889508e-01
7.36906066e-02 6.55602433e-02 5.05280247e-01 4.71164886e-01
3.00000000e+00 3.85184812e-01 2.99313245e-01 9.17596868e-01
7.00000000e+00 5.00000000e+00 1.63083626e-01 6.26927790e-01
3.45427452e-01 4.51662512e-01 4.47094750e-01 7.28558869e-01
5.29173761e-01 7.42919754e-01 7.75147259e-01 2.76066769e-01
5.72056816e-01 4.06856582e-01]
[ 2.39926078e-01 4.00000000e+00 3.62383639e-01 1.16162214e-01
9.34517505e-02 8.00000000e+00 8.00000000e+00 5.76398884e-01
4.12430328e-01 5.14769968e-01 3.87464608e-02 6.16932645e-01
3.74895218e-01 4.08285312e-01 8.98018119e-01 6.49249389e-01
4.08645760e-01 6.07959661e-01 2.64660816e-01 7.15983366e-01
7.61795316e-01 3.83236144e-01 9.32311048e-02 2.57465746e-01
6.51411403e-01 3.91861222e-02 4.45628558e-01 6.89695145e-02
3.32177995e-01 7.44112520e-01]
[ 6.43471306e-01 6.17741574e-01 1.55804821e-01 9.22755924e-01
2.66214452e-01 5.46513450e-01 6.97813914e-01 9.27087146e-01
9.36551648e-02 7.29070670e-01 9.42267932e-01 5.09140319e-01
6.71722116e-01 4.00000000e+00 7.31127481e-01 8.97427376e-01
5.02539040e-01 6.00000000e+00 4.86339289e-01 2.00832478e-01
2.75863215e-01 9.49220128e-01 4.22106193e-01 4.14502322e-01
5.10837783e-01 4.93701826e-02 1.06916975e-01 9.51495023e-01
5.94213555e-01 6.89806343e-01]
[ 5.32218072e-02 6.02419805e-01 7.38856389e-01 9.98442237e-01
1.56077273e-01 4.87020904e-02 3.09644991e-01 4.28412070e-01
6.11152002e-01 2.49624942e-01 6.73371621e-01 8.84300346e-01
3.64988087e-01 2.97069991e-01 8.91698891e-02 9.72148415e-01
1.83263010e-01 4.77501078e-01 3.36176277e-01 7.34401939e-01
1.50419950e-01 5.67514580e-01 5.00000000e+00 1.49284933e-01
9.62571748e-01 6.98850409e-01 4.06660190e-01 2.66242175e-01
7.00000000e+00 9.19230005e-02]
[ 4.92163478e-01 4.04041328e-02 8.97353508e-01 8.08023666e-01
4.93427777e-01 5.14718018e-01 3.20256944e-01 8.87970629e-01
1.35702605e-01 4.06703359e-01 8.20521000e-01 5.00000000e+00
6.87990092e-01 3.12543181e-01 3.64128296e-02 1.48135257e-02
1.27754601e-01 2.39116580e-01 3.00000000e+00 8.78382275e-01
2.36204538e-01 9.35121634e-01 7.51336126e-01 9.92495197e-01
9.21466098e-02 7.07920725e-01 2.91044917e-02 4.31194945e-01
2.18753970e-01 5.00000000e+00]
[ 7.74691502e-02 7.00000000e+00 1.55214880e-01 2.11899380e-01
3.78710508e-01 9.22175118e-01 6.00000000e+00 3.00000000e+00
7.48140873e-01 2.35083541e-01 6.24699145e-01 8.34894787e-01
3.82181188e-01 9.72445952e-01 1.20026772e-01 7.00000000e+00
9.70255887e-01 2.43615320e-01 2.06208181e-01 5.44878636e-01
3.05449030e-01 2.91951615e-01 2.00000000e+00 4.00000000e+00
6.64767781e-01 5.67475644e-01 5.09257465e-01 3.56680706e-01
7.22255973e-01 9.11089785e-01]
[ 3.21182533e-01 9.16638588e-01 6.76410717e-01 9.41517597e-01
7.85639509e-01 8.48501654e-01 5.99196471e-01 1.58926672e-01
4.34277230e-01 4.16950439e-01 2.51455848e-01 7.95457231e-01
9.76156840e-02 4.00000000e+00 5.00000000e+00 6.05955463e-01
9.26109633e-01 9.07404004e-02 8.77772522e-01 8.95524862e-01
2.89990588e-01 8.86465212e-01 5.65386924e-01 5.22506072e-01
5.00000000e+00 8.00000000e+00 8.76650733e-01 4.36407544e-01
4.35897366e-01 4.21282791e-02]
[ 6.21116836e-01 8.07177698e-01 1.99283616e-01 7.16818426e-01
6.30444834e-02 2.00000000e+00 2.21690981e-01 4.00000000e+00
5.91085937e-01 5.14665559e-01 3.68442130e-02 7.00000000e+00
1.21144411e-01 7.09006717e-01 5.00000000e+00 7.00584451e-01
7.89617766e-01 4.06169539e-01 5.14643019e-02 4.44259476e-01
6.31164737e-01 4.20459160e-01 9.42240139e-01 8.30847879e-01
9.18140543e-01 3.81760300e-01 7.92373991e-01 2.31860280e-01
9.46354518e-01 3.75202416e-01]
[ 5.50930948e-01 5.08670635e-01 4.12958665e-01 4.36796314e-01
8.26977236e-01 5.00000000e+00 8.65431131e-01 2.77627445e-02
1.01041029e-01 8.85477001e-01 6.80298595e-01 6.85517308e-01
3.35492988e-01 9.82730241e-01 8.55022983e-01 2.00000000e+00
8.71390552e-01 5.31295976e-01 3.51609401e-01 7.82383030e-01
2.29179469e-01 6.63823281e-01 7.60393628e-01 1.15952071e-01
5.77078024e-01 6.56804462e-01 4.49028121e-01 4.00000000e+00
5.45501189e-01 1.88388244e-01]
[ 8.93321932e-01 5.06845012e-01 4.31313349e-01 7.21035303e-01
7.75078545e-01 4.90340136e-01 6.64095207e-01 3.14882243e-01
5.74882474e-01 8.54914351e-02 2.29522387e-01 9.65280601e-01
9.67513077e-01 6.25049516e-01 2.26272879e-01 5.05133084e-01
1.24498845e-01 6.63466349e-01 5.00000000e+00 2.94241823e-01
8.65689955e-01 4.34987399e-01 8.28707010e-01 1.01292002e-01
3.02191420e-01 5.35683842e-01 5.56497358e-01 9.00283773e-01
5.96933997e-01 2.31266052e-01]
[ 2.00869929e-01 6.87700525e-01 7.00000000e+00 9.10485711e-01
7.87919712e-01 2.03655881e-01 9.75773927e-01 1.72425760e-01
4.62551856e-01 7.22217868e-01 4.66064643e-01 3.44048626e-01
3.41570252e-02 9.58185691e-01 1.52693097e-01 8.75948809e-01
4.46630485e-01 5.23765262e-02 2.08511371e-01 1.35768752e-01
7.49602964e-01 7.75047315e-01 6.87546078e-01 7.06606352e-01
9.85517606e-01 9.11915992e-01 7.66633068e-01 2.31048238e-02
1.08736893e-01 5.58991586e-01]
[ 2.96840541e-01 6.01733831e-01 5.62589916e-01 1.27314644e-01
1.13768259e-01 9.50645442e-01 9.53214950e-01 2.83338887e-01
2.95641344e-01 9.93932973e-01 4.42558575e-01 3.17861786e-01
3.51950557e-01 8.92850899e-01 5.81888813e-01 2.10892625e-01
4.56231395e-01 7.60233098e-01 3.59024995e-01 8.14496584e-02
8.08914162e-01 4.89421226e-01 4.29617282e-02 5.52092487e-01
3.00890697e-01 4.28424067e-01 6.42356021e-01 5.00000000e+00
4.47340679e-01 8.68804071e-01]
[ 7.51434264e-02 5.52199181e-01 8.00000000e+00 8.51645064e-01
7.51345120e-01 8.77583973e-02 9.26237637e-01 2.19150644e-01
4.08092718e-01 8.95639695e-01 7.72171088e-01 7.81289427e-01
7.00000000e+00 9.30077181e-01 4.19585312e-01 2.44097381e-01
3.28357999e-01 2.78507064e-01 2.50209896e-01 6.18202201e-01
6.00000000e+00 1.50530003e-01 1.64497915e-02 7.64922531e-01
4.33333915e-01 2.41891409e-01 8.71962571e-01 2.44459216e-01
6.80981330e-01 7.93827145e-02]
[ 7.15641268e-01 1.08778058e-01 1.43065234e-01 6.06117137e-02
3.52391605e-01 4.57280126e-01 5.97049130e-02 3.38956592e-01
7.63581333e-02 3.50854759e-02 7.00528695e-01 2.95021393e-01
4.90013140e-01 9.30788482e-02 7.12322005e-01 9.91398196e-01
4.53065103e-01 4.56423547e-01 6.44709211e-01 7.95039261e-01
2.63550937e-01 8.72979053e-01 6.02756601e-01 8.20349587e-01
4.42687363e-01 4.15039370e-01 3.77932183e-01 6.99109985e-01
4.09672573e-01 4.39442030e-01]
[ 6.00000000e+00 8.00000000e+00 6.00000000e+00 9.11409180e-01
9.43908561e-01 6.97959165e-01 1.01214443e-02 4.07776022e-01
5.00000000e+00 9.69083641e-01 4.17196181e-01 5.59609874e-01
3.56169798e-01 1.98155329e-01 3.94955679e-01 9.30078279e-01
5.78033741e-01 2.52016826e-01 8.00000000e+00 1.51569453e-01
3.02141955e-01 4.64109118e-01 2.67262841e-01 1.24807089e-01
4.47991317e-02 8.13420922e-01 9.58181195e-01 6.99010660e-01
4.07442362e-01 2.28984931e-02]
[ 6.61338041e-01 5.00000000e+00 7.64864438e-01 7.55082985e-01
3.48673856e-01 9.78532791e-01 5.92922844e-01 6.53760924e-01
4.69817517e-01 2.56273368e-04 2.64391029e-01 2.00000000e+00
1.29054694e-01 9.31478284e-01 4.72295157e-01 5.25253644e-01
3.51249557e-01 1.48566635e-01 9.30453592e-02 5.00000000e+00
6.33090819e-01 3.62103636e-01 3.21144254e-01 2.25883439e-01
7.75169780e-01 5.00000000e+00 6.77181513e-01 1.64748671e-02
6.12548462e-01 4.00000000e+00]
[ 3.20290004e-01 7.27256148e-01 5.45365434e-01 1.96168627e-01
6.85802061e-01 5.23252138e-01 4.48142896e-01 3.19309597e-01
5.48176968e-01 2.35829729e-02 8.00000000e+00 7.00000000e+00
5.49149903e-01 4.15238294e-01 6.05819233e-01 6.00000000e+00
1.11739451e-01 1.08267712e-01 4.98257156e-01 6.00000000e+00
9.41341536e-03 3.05008479e-01 8.16168413e-01 9.48102040e-02
7.50932676e-01 6.69112363e-01 1.83362938e-01 7.82888544e-01
8.63846310e-01 2.34528133e-01]
[ 6.00000000e+00 4.51219830e-01 5.13826310e-01 3.55793464e-01
2.00000000e+00 7.04971589e-01 8.95052295e-01 4.17752236e-01
4.00000000e+00 5.91999492e-01 8.72210980e-01 4.44022284e-02
5.42007566e-01 4.16450937e-02 8.53561806e-01 2.74497127e-01
9.72187767e-02 5.99012242e-01 1.89006935e-01 5.77265135e-01
2.00000000e+00 3.37124472e-01 6.83048394e-01 1.87602142e-01
7.00000000e+00 9.20850308e-01 8.17093122e-01 8.72940746e-01
6.96461233e-01 5.18271135e-01]
[ 9.02221159e-01 1.14513931e-01 7.00000000e+00 7.88829039e-01
1.98595990e-01 2.21929682e-01 5.00000000e+00 8.87202801e-01
1.08053652e-01 4.16926038e-01 7.48826302e-01 7.14149846e-01
8.80779068e-01 8.57765275e-01 4.00000000e+00 2.25838293e-01
4.17293200e-01 1.47195080e-01 3.58288761e-01 2.04777755e-01
6.77519956e-01 7.86149744e-01 5.92319049e-01 5.99871573e-01
3.43204099e-01 9.27673935e-01 3.19651902e-01 8.41224156e-01
9.88279049e-02 2.00000000e+00]
[ 3.87612342e-01 1.70807796e-01 7.67897332e-01 2.24797633e-01
5.06193819e-01 2.14355388e-01 6.12697997e-01 6.21282240e-01
1.59679180e-02 3.25166938e-02 6.43530600e-01 1.88851400e-01
4.15766705e-01 4.46564746e-01 7.00000000e+00 5.10646883e-01
5.00000000e+00 8.01031596e-01 1.66534128e-02 6.66527471e-01
2.42282043e-01 5.17458457e-01 5.50464819e-01 7.87807608e-01
2.23473758e-02 7.00000000e+00 6.00000000e+00 9.91758577e-01
2.06179273e-01 1.17518816e-01]
[ 6.58991469e-01 5.00000000e+00 6.00000000e+00 8.22961009e-01
1.67662121e-01 9.72824073e-01 4.31251898e-01 4.00000000e+00
7.00000000e+00 4.94253122e-01 3.44591218e-01 3.72417721e-01
8.32728611e-01 8.50708346e-01 3.95309898e-01 9.97422750e-01
4.87806927e-01 3.05109341e-01 1.07476215e-01 6.19426820e-01
1.11747084e-01 4.63139395e-01 5.94526626e-01 2.06573180e-01
7.00000000e+00 7.76018961e-01 4.45196546e-01 5.71212084e-01
8.07842839e-01 8.10271267e-01]
[ 1.06867645e-01 4.57428917e-01 4.34235980e-01 8.00000000e+00
8.00000000e+00 1.71249448e-01 6.00000000e+00 4.57952940e-01
9.06379678e-01 8.05780125e-01 6.73169460e-01 2.02237933e-01
8.81433640e-01 8.84452252e-01 5.67036598e-01 7.85603011e-01
5.79736202e-01 7.25599159e-01 2.17162139e-02 6.43593946e-02
9.50769118e-01 2.31827468e-01 4.56015424e-01 4.73970810e-01
1.57328571e-02 8.00000000e+00 8.92268368e-01 1.93330371e-01
6.89074614e-02 7.65966217e-01]
[ 7.82437644e-01 2.54459673e-01 9.02079728e-01 5.67139521e-01
4.00032868e-02 6.48205549e-02 8.93877971e-01 6.69116279e-01
7.95481194e-01 7.01110590e-01 3.00000000e+00 9.72121243e-01
6.04902690e-01 2.27865967e-01 7.00373041e-01 8.00000000e+00
9.27324035e-01 5.11124077e-02 6.53801527e-01 6.58840976e-01
1.32423431e-01 9.34313383e-01 4.72065925e-01 8.00000000e+00
1.68735899e-02 1.67336961e-01 7.87053695e-01 1.37380024e-01
2.59411164e-01 4.45648754e-01]
[ 4.37207188e-01 9.76078648e-01 6.41505203e-02 6.91480284e-01
9.41067905e-01 5.78125538e-01 3.51655903e-01 1.10825699e-01
3.59069326e-01 4.85588840e-01 7.06675832e-02 9.69198366e-01
1.01344795e-01 5.50283930e-02 6.46080615e-01 2.32338401e-01
3.06876012e-02 3.44350700e-01 5.00000000e+00 1.80047561e-01
8.27848957e-01 3.69625988e-01 2.00000000e+00 6.19765981e-01
9.09865433e-01 2.14700309e-01 4.25524239e-01 8.77926018e-01
1.91743005e-01 4.95813013e-02]
[ 8.01118976e-01 5.32619244e-01 6.82402234e-01 3.94839305e-01
1.89424285e-01 3.50702685e-01 3.50710334e-01 1.83442752e-01
3.83169199e-01 1.89545667e-01 5.66477118e-01 2.23782890e-01
9.85683773e-01 2.00000000e+00 5.00000000e+00 4.46919780e-01
8.48461459e-01 8.00000000e+00 3.81615683e-01 6.00000000e+00
2.68170215e-01 4.94595789e-01 2.79779765e-01 2.57003998e-02
2.00000000e+00 1.86914371e-01 6.93042554e-01 8.00000000e+00
5.01200649e-01 6.40610938e-01]
[ 1.20922431e-01 6.68419768e-01 9.20904816e-01 6.85238938e-01
1.66591278e-01 2.00000000e+00 7.86469826e-01 2.00759024e-01
9.57520976e-01 7.14797232e-01 8.42330656e-02 1.91968081e-01
9.22140887e-02 4.00000000e+00 3.58655119e-02 4.00498931e-01
3.56510889e-01 7.00000000e+00 9.30854095e-01 6.40885803e-01
2.43240043e-01 3.30122315e-01 6.00000000e+00 4.18976678e-01
6.15132760e-01 3.71951212e-01 1.22695675e-01 9.78088830e-01
3.77961648e-01 1.16711394e-02]
[ 6.00000000e+00 3.28952740e-01 5.49040368e-01 7.15072799e-01
5.11284135e-01 4.23522401e-01 4.64180874e-01 9.44049553e-01
3.00000000e+00 1.24652030e-02 8.60927647e-01 4.75932952e-01
8.70098627e-01 9.24967149e-01 9.14747851e-01 1.42456714e-01
7.22457496e-01 3.04584552e-01 4.45504562e-01 7.97074894e-01
8.77306560e-01 8.00000000e+00 2.07693817e-01 3.33057365e-01
8.10846347e-01 2.02307650e-01 1.92231409e-01 6.16916762e-01
9.93207359e-02 2.59073134e-01]]
重新繪製箱形圖
df2=pd.DataFrame(A)
df.boxplot()
plt.ylabel('y')
plt.xlabel('x')
plt.title('$A$')
plt.show()
取出異常值的點
異常值的點就是圖中用圈標記出的點
矩陣歸一化(標準化)
print("標準化之前的矩陣A爲:\n",A)
print("*"*100)
Amin,Amax=A.min(),A.max()
A=(A-Amin)/(Amax-Amin)
print("標準化後的矩陣A爲:\n",A)
標準化之前的矩陣A爲:
[[ 4.53616512e-01 8.61856377e-02 5.30296845e-01 2.40709187e-01
3.80793044e-01 5.12444653e-01 7.76249207e-01 2.34136529e-01
7.37731641e-01 5.32085033e-01 4.00000000e+00 5.43014312e-01
2.55230539e-01 6.00000000e+00 5.11529807e-02 4.43609645e-01
8.56999978e-02 1.40347620e-02 4.02022461e-02 2.00000000e+00
3.49564773e-01 7.00000000e+00 1.55291591e-02 5.09445687e-01
3.62207023e-01 7.20922722e-01 8.54771022e-01 6.61434389e-01
4.86238090e-01 9.79529452e-01]
[ 8.05428682e-02 3.29047793e-01 6.43698673e-01 9.04277168e-01
9.78384264e-01 3.37353494e-01 7.39358067e-01 3.55182658e-01
9.89687095e-01 6.14935945e-01 6.52728677e-01 7.00000000e+00
5.13862865e-01 9.99091787e-01 2.00922546e-01 5.76144358e-01
2.56320016e-01 9.22332892e-01 3.08547956e-01 5.79930649e-01
3.06355198e-01 2.61417887e-01 4.32863769e-01 4.31994524e-01
4.83047584e-01 2.63712956e-01 8.35141356e-01 7.59380113e-01
7.00000000e+00 3.29845339e-01]
[ 2.30571181e-01 4.00000000e+00 9.81635240e-02 7.26050569e-01
9.63056915e-01 8.76546558e-01 5.00000000e+00 3.52611078e-01
9.09544008e-01 6.62110762e-01 3.52487518e-01 4.00000000e+00
4.20141358e-01 5.51120540e-01 5.02641235e-01 9.94162126e-01
8.28955641e-01 1.58701251e-01 6.36350737e-01 9.10921055e-01
2.07573003e-01 9.85773749e-01 3.10852943e-01 5.63833568e-01
8.00000000e+00 7.07604940e-01 4.11989283e-01 2.11779969e-01
2.43610690e-01 4.43425323e-01]
[ 9.99816333e-01 9.54144593e-01 9.27052004e-02 1.98800151e-01
8.32015236e-01 3.43349579e-01 4.23569167e-01 3.93889508e-01
7.36906066e-02 6.55602433e-02 5.05280247e-01 4.71164886e-01
3.00000000e+00 3.85184812e-01 2.99313245e-01 9.17596868e-01
7.00000000e+00 5.00000000e+00 1.63083626e-01 6.26927790e-01
3.45427452e-01 4.51662512e-01 4.47094750e-01 7.28558869e-01
5.29173761e-01 7.42919754e-01 7.75147259e-01 2.76066769e-01
5.72056816e-01 4.06856582e-01]
[ 2.39926078e-01 4.00000000e+00 3.62383639e-01 1.16162214e-01
9.34517505e-02 8.00000000e+00 8.00000000e+00 5.76398884e-01
4.12430328e-01 5.14769968e-01 3.87464608e-02 6.16932645e-01
3.74895218e-01 4.08285312e-01 8.98018119e-01 6.49249389e-01
4.08645760e-01 6.07959661e-01 2.64660816e-01 7.15983366e-01
7.61795316e-01 3.83236144e-01 9.32311048e-02 2.57465746e-01
6.51411403e-01 3.91861222e-02 4.45628558e-01 6.89695145e-02
3.32177995e-01 7.44112520e-01]
[ 6.43471306e-01 6.17741574e-01 1.55804821e-01 9.22755924e-01
2.66214452e-01 5.46513450e-01 6.97813914e-01 9.27087146e-01
9.36551648e-02 7.29070670e-01 9.42267932e-01 5.09140319e-01
6.71722116e-01 4.00000000e+00 7.31127481e-01 8.97427376e-01
5.02539040e-01 6.00000000e+00 4.86339289e-01 2.00832478e-01
2.75863215e-01 9.49220128e-01 4.22106193e-01 4.14502322e-01
5.10837783e-01 4.93701826e-02 1.06916975e-01 9.51495023e-01
5.94213555e-01 6.89806343e-01]
[ 5.32218072e-02 6.02419805e-01 7.38856389e-01 9.98442237e-01
1.56077273e-01 4.87020904e-02 3.09644991e-01 4.28412070e-01
6.11152002e-01 2.49624942e-01 6.73371621e-01 8.84300346e-01
3.64988087e-01 2.97069991e-01 8.91698891e-02 9.72148415e-01
1.83263010e-01 4.77501078e-01 3.36176277e-01 7.34401939e-01
1.50419950e-01 5.67514580e-01 5.00000000e+00 1.49284933e-01
9.62571748e-01 6.98850409e-01 4.06660190e-01 2.66242175e-01
7.00000000e+00 9.19230005e-02]
[ 4.92163478e-01 4.04041328e-02 8.97353508e-01 8.08023666e-01
4.93427777e-01 5.14718018e-01 3.20256944e-01 8.87970629e-01
1.35702605e-01 4.06703359e-01 8.20521000e-01 5.00000000e+00
6.87990092e-01 3.12543181e-01 3.64128296e-02 1.48135257e-02
1.27754601e-01 2.39116580e-01 3.00000000e+00 8.78382275e-01
2.36204538e-01 9.35121634e-01 7.51336126e-01 9.92495197e-01
9.21466098e-02 7.07920725e-01 2.91044917e-02 4.31194945e-01
2.18753970e-01 5.00000000e+00]
[ 7.74691502e-02 7.00000000e+00 1.55214880e-01 2.11899380e-01
3.78710508e-01 9.22175118e-01 6.00000000e+00 3.00000000e+00
7.48140873e-01 2.35083541e-01 6.24699145e-01 8.34894787e-01
3.82181188e-01 9.72445952e-01 1.20026772e-01 7.00000000e+00
9.70255887e-01 2.43615320e-01 2.06208181e-01 5.44878636e-01
3.05449030e-01 2.91951615e-01 2.00000000e+00 4.00000000e+00
6.64767781e-01 5.67475644e-01 5.09257465e-01 3.56680706e-01
7.22255973e-01 9.11089785e-01]
[ 3.21182533e-01 9.16638588e-01 6.76410717e-01 9.41517597e-01
7.85639509e-01 8.48501654e-01 5.99196471e-01 1.58926672e-01
4.34277230e-01 4.16950439e-01 2.51455848e-01 7.95457231e-01
9.76156840e-02 4.00000000e+00 5.00000000e+00 6.05955463e-01
9.26109633e-01 9.07404004e-02 8.77772522e-01 8.95524862e-01
2.89990588e-01 8.86465212e-01 5.65386924e-01 5.22506072e-01
5.00000000e+00 8.00000000e+00 8.76650733e-01 4.36407544e-01
4.35897366e-01 4.21282791e-02]
[ 6.21116836e-01 8.07177698e-01 1.99283616e-01 7.16818426e-01
6.30444834e-02 2.00000000e+00 2.21690981e-01 4.00000000e+00
5.91085937e-01 5.14665559e-01 3.68442130e-02 7.00000000e+00
1.21144411e-01 7.09006717e-01 5.00000000e+00 7.00584451e-01
7.89617766e-01 4.06169539e-01 5.14643019e-02 4.44259476e-01
6.31164737e-01 4.20459160e-01 9.42240139e-01 8.30847879e-01
9.18140543e-01 3.81760300e-01 7.92373991e-01 2.31860280e-01
9.46354518e-01 3.75202416e-01]
[ 5.50930948e-01 5.08670635e-01 4.12958665e-01 4.36796314e-01
8.26977236e-01 5.00000000e+00 8.65431131e-01 2.77627445e-02
1.01041029e-01 8.85477001e-01 6.80298595e-01 6.85517308e-01
3.35492988e-01 9.82730241e-01 8.55022983e-01 2.00000000e+00
8.71390552e-01 5.31295976e-01 3.51609401e-01 7.82383030e-01
2.29179469e-01 6.63823281e-01 7.60393628e-01 1.15952071e-01
5.77078024e-01 6.56804462e-01 4.49028121e-01 4.00000000e+00
5.45501189e-01 1.88388244e-01]
[ 8.93321932e-01 5.06845012e-01 4.31313349e-01 7.21035303e-01
7.75078545e-01 4.90340136e-01 6.64095207e-01 3.14882243e-01
5.74882474e-01 8.54914351e-02 2.29522387e-01 9.65280601e-01
9.67513077e-01 6.25049516e-01 2.26272879e-01 5.05133084e-01
1.24498845e-01 6.63466349e-01 5.00000000e+00 2.94241823e-01
8.65689955e-01 4.34987399e-01 8.28707010e-01 1.01292002e-01
3.02191420e-01 5.35683842e-01 5.56497358e-01 9.00283773e-01
5.96933997e-01 2.31266052e-01]
[ 2.00869929e-01 6.87700525e-01 7.00000000e+00 9.10485711e-01
7.87919712e-01 2.03655881e-01 9.75773927e-01 1.72425760e-01
4.62551856e-01 7.22217868e-01 4.66064643e-01 3.44048626e-01
3.41570252e-02 9.58185691e-01 1.52693097e-01 8.75948809e-01
4.46630485e-01 5.23765262e-02 2.08511371e-01 1.35768752e-01
7.49602964e-01 7.75047315e-01 6.87546078e-01 7.06606352e-01
9.85517606e-01 9.11915992e-01 7.66633068e-01 2.31048238e-02
1.08736893e-01 5.58991586e-01]
[ 2.96840541e-01 6.01733831e-01 5.62589916e-01 1.27314644e-01
1.13768259e-01 9.50645442e-01 9.53214950e-01 2.83338887e-01
2.95641344e-01 9.93932973e-01 4.42558575e-01 3.17861786e-01
3.51950557e-01 8.92850899e-01 5.81888813e-01 2.10892625e-01
4.56231395e-01 7.60233098e-01 3.59024995e-01 8.14496584e-02
8.08914162e-01 4.89421226e-01 4.29617282e-02 5.52092487e-01
3.00890697e-01 4.28424067e-01 6.42356021e-01 5.00000000e+00
4.47340679e-01 8.68804071e-01]
[ 7.51434264e-02 5.52199181e-01 8.00000000e+00 8.51645064e-01
7.51345120e-01 8.77583973e-02 9.26237637e-01 2.19150644e-01
4.08092718e-01 8.95639695e-01 7.72171088e-01 7.81289427e-01
7.00000000e+00 9.30077181e-01 4.19585312e-01 2.44097381e-01
3.28357999e-01 2.78507064e-01 2.50209896e-01 6.18202201e-01
6.00000000e+00 1.50530003e-01 1.64497915e-02 7.64922531e-01
4.33333915e-01 2.41891409e-01 8.71962571e-01 2.44459216e-01
6.80981330e-01 7.93827145e-02]
[ 7.15641268e-01 1.08778058e-01 1.43065234e-01 6.06117137e-02
3.52391605e-01 4.57280126e-01 5.97049130e-02 3.38956592e-01
7.63581333e-02 3.50854759e-02 7.00528695e-01 2.95021393e-01
4.90013140e-01 9.30788482e-02 7.12322005e-01 9.91398196e-01
4.53065103e-01 4.56423547e-01 6.44709211e-01 7.95039261e-01
2.63550937e-01 8.72979053e-01 6.02756601e-01 8.20349587e-01
4.42687363e-01 4.15039370e-01 3.77932183e-01 6.99109985e-01
4.09672573e-01 4.39442030e-01]
[ 6.00000000e+00 8.00000000e+00 6.00000000e+00 9.11409180e-01
9.43908561e-01 6.97959165e-01 1.01214443e-02 4.07776022e-01
5.00000000e+00 9.69083641e-01 4.17196181e-01 5.59609874e-01
3.56169798e-01 1.98155329e-01 3.94955679e-01 9.30078279e-01
5.78033741e-01 2.52016826e-01 8.00000000e+00 1.51569453e-01
3.02141955e-01 4.64109118e-01 2.67262841e-01 1.24807089e-01
4.47991317e-02 8.13420922e-01 9.58181195e-01 6.99010660e-01
4.07442362e-01 2.28984931e-02]
[ 6.61338041e-01 5.00000000e+00 7.64864438e-01 7.55082985e-01
3.48673856e-01 9.78532791e-01 5.92922844e-01 6.53760924e-01
4.69817517e-01 2.56273368e-04 2.64391029e-01 2.00000000e+00
1.29054694e-01 9.31478284e-01 4.72295157e-01 5.25253644e-01
3.51249557e-01 1.48566635e-01 9.30453592e-02 5.00000000e+00
6.33090819e-01 3.62103636e-01 3.21144254e-01 2.25883439e-01
7.75169780e-01 5.00000000e+00 6.77181513e-01 1.64748671e-02
6.12548462e-01 4.00000000e+00]
[ 3.20290004e-01 7.27256148e-01 5.45365434e-01 1.96168627e-01
6.85802061e-01 5.23252138e-01 4.48142896e-01 3.19309597e-01
5.48176968e-01 2.35829729e-02 8.00000000e+00 7.00000000e+00
5.49149903e-01 4.15238294e-01 6.05819233e-01 6.00000000e+00
1.11739451e-01 1.08267712e-01 4.98257156e-01 6.00000000e+00
9.41341536e-03 3.05008479e-01 8.16168413e-01 9.48102040e-02
7.50932676e-01 6.69112363e-01 1.83362938e-01 7.82888544e-01
8.63846310e-01 2.34528133e-01]
[ 6.00000000e+00 4.51219830e-01 5.13826310e-01 3.55793464e-01
2.00000000e+00 7.04971589e-01 8.95052295e-01 4.17752236e-01
4.00000000e+00 5.91999492e-01 8.72210980e-01 4.44022284e-02
5.42007566e-01 4.16450937e-02 8.53561806e-01 2.74497127e-01
9.72187767e-02 5.99012242e-01 1.89006935e-01 5.77265135e-01
2.00000000e+00 3.37124472e-01 6.83048394e-01 1.87602142e-01
7.00000000e+00 9.20850308e-01 8.17093122e-01 8.72940746e-01
6.96461233e-01 5.18271135e-01]
[ 9.02221159e-01 1.14513931e-01 7.00000000e+00 7.88829039e-01
1.98595990e-01 2.21929682e-01 5.00000000e+00 8.87202801e-01
1.08053652e-01 4.16926038e-01 7.48826302e-01 7.14149846e-01
8.80779068e-01 8.57765275e-01 4.00000000e+00 2.25838293e-01
4.17293200e-01 1.47195080e-01 3.58288761e-01 2.04777755e-01
6.77519956e-01 7.86149744e-01 5.92319049e-01 5.99871573e-01
3.43204099e-01 9.27673935e-01 3.19651902e-01 8.41224156e-01
9.88279049e-02 2.00000000e+00]
[ 3.87612342e-01 1.70807796e-01 7.67897332e-01 2.24797633e-01
5.06193819e-01 2.14355388e-01 6.12697997e-01 6.21282240e-01
1.59679180e-02 3.25166938e-02 6.43530600e-01 1.88851400e-01
4.15766705e-01 4.46564746e-01 7.00000000e+00 5.10646883e-01
5.00000000e+00 8.01031596e-01 1.66534128e-02 6.66527471e-01
2.42282043e-01 5.17458457e-01 5.50464819e-01 7.87807608e-01
2.23473758e-02 7.00000000e+00 6.00000000e+00 9.91758577e-01
2.06179273e-01 1.17518816e-01]
[ 6.58991469e-01 5.00000000e+00 6.00000000e+00 8.22961009e-01
1.67662121e-01 9.72824073e-01 4.31251898e-01 4.00000000e+00
7.00000000e+00 4.94253122e-01 3.44591218e-01 3.72417721e-01
8.32728611e-01 8.50708346e-01 3.95309898e-01 9.97422750e-01
4.87806927e-01 3.05109341e-01 1.07476215e-01 6.19426820e-01
1.11747084e-01 4.63139395e-01 5.94526626e-01 2.06573180e-01
7.00000000e+00 7.76018961e-01 4.45196546e-01 5.71212084e-01
8.07842839e-01 8.10271267e-01]
[ 1.06867645e-01 4.57428917e-01 4.34235980e-01 8.00000000e+00
8.00000000e+00 1.71249448e-01 6.00000000e+00 4.57952940e-01
9.06379678e-01 8.05780125e-01 6.73169460e-01 2.02237933e-01
8.81433640e-01 8.84452252e-01 5.67036598e-01 7.85603011e-01
5.79736202e-01 7.25599159e-01 2.17162139e-02 6.43593946e-02
9.50769118e-01 2.31827468e-01 4.56015424e-01 4.73970810e-01
1.57328571e-02 8.00000000e+00 8.92268368e-01 1.93330371e-01
6.89074614e-02 7.65966217e-01]
[ 7.82437644e-01 2.54459673e-01 9.02079728e-01 5.67139521e-01
4.00032868e-02 6.48205549e-02 8.93877971e-01 6.69116279e-01
7.95481194e-01 7.01110590e-01 3.00000000e+00 9.72121243e-01
6.04902690e-01 2.27865967e-01 7.00373041e-01 8.00000000e+00
9.27324035e-01 5.11124077e-02 6.53801527e-01 6.58840976e-01
1.32423431e-01 9.34313383e-01 4.72065925e-01 8.00000000e+00
1.68735899e-02 1.67336961e-01 7.87053695e-01 1.37380024e-01
2.59411164e-01 4.45648754e-01]
[ 4.37207188e-01 9.76078648e-01 6.41505203e-02 6.91480284e-01
9.41067905e-01 5.78125538e-01 3.51655903e-01 1.10825699e-01
3.59069326e-01 4.85588840e-01 7.06675832e-02 9.69198366e-01
1.01344795e-01 5.50283930e-02 6.46080615e-01 2.32338401e-01
3.06876012e-02 3.44350700e-01 5.00000000e+00 1.80047561e-01
8.27848957e-01 3.69625988e-01 2.00000000e+00 6.19765981e-01
9.09865433e-01 2.14700309e-01 4.25524239e-01 8.77926018e-01
1.91743005e-01 4.95813013e-02]
[ 8.01118976e-01 5.32619244e-01 6.82402234e-01 3.94839305e-01
1.89424285e-01 3.50702685e-01 3.50710334e-01 1.83442752e-01
3.83169199e-01 1.89545667e-01 5.66477118e-01 2.23782890e-01
9.85683773e-01 2.00000000e+00 5.00000000e+00 4.46919780e-01
8.48461459e-01 8.00000000e+00 3.81615683e-01 6.00000000e+00
2.68170215e-01 4.94595789e-01 2.79779765e-01 2.57003998e-02
2.00000000e+00 1.86914371e-01 6.93042554e-01 8.00000000e+00
5.01200649e-01 6.40610938e-01]
[ 1.20922431e-01 6.68419768e-01 9.20904816e-01 6.85238938e-01
1.66591278e-01 2.00000000e+00 7.86469826e-01 2.00759024e-01
9.57520976e-01 7.14797232e-01 8.42330656e-02 1.91968081e-01
9.22140887e-02 4.00000000e+00 3.58655119e-02 4.00498931e-01
3.56510889e-01 7.00000000e+00 9.30854095e-01 6.40885803e-01
2.43240043e-01 3.30122315e-01 6.00000000e+00 4.18976678e-01
6.15132760e-01 3.71951212e-01 1.22695675e-01 9.78088830e-01
3.77961648e-01 1.16711394e-02]
[ 6.00000000e+00 3.28952740e-01 5.49040368e-01 7.15072799e-01
5.11284135e-01 4.23522401e-01 4.64180874e-01 9.44049553e-01
3.00000000e+00 1.24652030e-02 8.60927647e-01 4.75932952e-01
8.70098627e-01 9.24967149e-01 9.14747851e-01 1.42456714e-01
7.22457496e-01 3.04584552e-01 4.45504562e-01 7.97074894e-01
8.77306560e-01 8.00000000e+00 2.07693817e-01 3.33057365e-01
8.10846347e-01 2.02307650e-01 1.92231409e-01 6.16916762e-01
9.93207359e-02 2.59073134e-01]]
****************************************************************************************************
標準化後的矩陣A爲:
[[ 0.05667185 0.01074151 0.06625719 0.03005758 0.04756862 0.0640256
0.09700222 0.02923597 0.09218737 0.06648072 0.49998398 0.06784693
0.0318728 0.74999199 0.00636229 0.05542095 0.01068081 0.00172237
0.00499341 0.24997597 0.04366496 0.874996 0.00190917 0.06365072
0.04524529 0.09008619 0.10681777 0.08264991 0.06074967 0.12241307]
[ 0.01003615 0.04110026 0.08043288 0.11300623 0.12226992 0.0421385
0.09239068 0.04436722 0.12368281 0.07683742 0.08156166 0.874996
0.06420288 0.12485844 0.02508409 0.07198832 0.03200899 0.11526327
0.03853769 0.07246162 0.03826359 0.03264625 0.05407767 0.05396901
0.06035085 0.03293314 0.10436398 0.09489352 0.874996 0.04119995]
[ 0.02879029 0.49998398 0.0122388 0.09072719 0.12035394 0.10953979
0.62498799 0.04404576 0.11366461 0.08273446 0.04403032 0.49998398
0.05248732 0.06886024 0.06280013 0.12424221 0.10359074 0.01980626
0.07951436 0.11383674 0.02591542 0.12319363 0.03882583 0.07044942
1. 0.08842142 0.05146827 0.02644131 0.03042028 0.05539791]
[ 0.12494901 0.11923986 0.01155649 0.02481878 0.1039732 0.04288804
0.05291581 0.04920573 0.00917959 0.00816326 0.06313002 0.05886546
0.37497998 0.04811761 0.03738332 0.11467125 0.874996 0.62498799
0.02035407 0.07833645 0.04314778 0.05642759 0.0558566 0.09104074
0.0661168 0.09283591 0.09686448 0.03447742 0.07147736 0.05082667]
[ 0.02995969 0.49998398 0.04526737 0.01448871 0.01164981 1. 1.
0.07202013 0.05152341 0.06431627 0.00481143 0.07708702 0.04683137
0.05100526 0.11222383 0.08112674 0.05105032 0.07596536 0.03305163
0.08946875 0.09519543 0.04787402 0.01162223 0.03215221 0.081397
0.00486639 0.05567332 0.00858943 0.04149154 0.09298501]
[ 0.08040445 0.07718814 0.01944419 0.11531615 0.03324584 0.06828433
0.0871975 0.11585757 0.01167524 0.09110472 0.11775523 0.06361254
0.08393592 0.49998398 0.09136183 0.11214998 0.06278736 0.74999199
0.06076232 0.02507283 0.03445197 0.11862428 0.05273293 0.05178241
0.06382473 0.00613944 0.01333301 0.11890865 0.07424704 0.08619652]
[ 0.0066209 0.07527285 0.09232797 0.12477724 0.01947825 0.00605592
0.03867483 0.05352119 0.07636441 0.03117208 0.08414211 0.11050905
0.04559294 0.0371029 0.01111456 0.12149041 0.02287657 0.05965751
0.04199135 0.09177115 0.01877106 0.07090956 0.62498799 0.01862918
0.12029329 0.08732706 0.05080212 0.0332493 0.874996 0.01145871]
[ 0.06149037 0.00501864 0.11214075 0.10097416 0.06164841 0.06430978
0.04000137 0.11096785 0.01693133 0.05080751 0.10253638 0.62498799
0.08596948 0.03903711 0.00451971 0.00181971 0.0159378 0.02985849
0.37497998 0.10976927 0.02949448 0.11686191 0.09388799 0.12403384
0.01148666 0.08846089 0.00360614 0.05386906 0.02731309 0.62498799]
[ 0.00965192 0.874996 0.01937045 0.02645624 0.04730829 0.11524355
0.74999199 0.37497998 0.09348857 0.02935435 0.07805786 0.10433316
0.04774214 0.1215276 0.01497179 0.874996 0.12125384 0.03042086
0.02574481 0.06807998 0.03815032 0.03646309 0.24997597 0.49998398
0.0830666 0.07090469 0.06362719 0.04455448 0.09025285 0.11385784]
[ 0.04011707 0.11455146 0.08452201 0.11766143 0.09817605 0.10603407
0.07486992 0.01983444 0.05425436 0.05208844 0.03140095 0.0994033
0.01217032 0.49998398 0.62498799 0.07571482 0.11573538 0.01131088
0.10969305 0.11191216 0.03621795 0.11077967 0.07064359 0.06528332
0.62498799 1. 0.10955282 0.05452066 0.05445688 0.00523417]
[ 0.07761006 0.10086841 0.02487921 0.08957314 0.00784878 0.24997597
0.02768023 0.49998398 0.07385607 0.06430322 0.00457364 0.874996
0.0151115 0.08859664 0.62498799 0.08754383 0.09867335 0.05074078
0.00640121 0.05550218 0.07886608 0.05252704 0.11775176 0.10382728
0.11473921 0.04768953 0.09901789 0.02895143 0.11826607 0.04686977]
[ 0.06883654 0.06355383 0.05158945 0.05456925 0.10334343 0.62498799
0.10815032 0.00343842 0.0125985 0.11065614 0.08500801 0.08566037
0.04190593 0.12281318 0.10684926 0.24997597 0.10889527 0.06638209
0.04392055 0.09776898 0.02861632 0.08294853 0.09502021 0.01446244
0.07210503 0.08207115 0.05609828 0.49998398 0.0681578 0.02351725]
[ 0.11163678 0.06332562 0.05388386 0.09010026 0.09685589 0.06126245
0.08298253 0.03932951 0.07183058 0.01065474 0.02865918 0.12063191
0.12091097 0.07810166 0.02825298 0.06311162 0.01553082 0.08290392
0.62498799 0.03674937 0.10818268 0.05434313 0.10355966 0.01262987
0.0377431 0.06693059 0.06953236 0.11250704 0.0745871 0.02887715]
[ 0.02507751 0.08593328 0.874996 0.11378232 0.09846108 0.02542577
0.12194361 0.02152188 0.0577888 0.09024809 0.05822791 0.04297542
0.00423773 0.11974501 0.01905521 0.10946507 0.05579856 0.00651524
0.02603272 0.0169396 0.09367134 0.09685198 0.08591398 0.08829659
0.12316161 0.11396112 0.09580017 0.00285616 0.01356051 0.06984415]
[ 0.03707422 0.0751871 0.07029396 0.01588281 0.01418945 0.11880245
0.11912365 0.03538646 0.03692432 0.12421357 0.05528956 0.03970196
0.04396319 0.1115779 0.0727064 0.02633039 0.05699872 0.09500015
0.04484753 0.0101495 0.10108547 0.06114758 0.00533835 0.06898174
0.03758051 0.05352269 0.08026504 0.62498799 0.05588734 0.10857195]
[ 0.00936119 0.06899507 1. 0.10642701 0.09388911 0.01093812
0.11575138 0.02736267 0.05098119 0.11192651 0.09649244 0.09763227
0.874996 0.11623134 0.05241781 0.03048111 0.04101403 0.03478246
0.0312452 0.07724572 0.74999199 0.01878482 0.00202425 0.09558634
0.05413644 0.03020536 0.10896678 0.03052635 0.08509336 0.00989112]
[ 0.08942599 0.01356566 0.01785169 0.00754467 0.04401833 0.05712981
0.00743132 0.0423389 0.00951304 0.00435379 0.08753686 0.03684682
0.06122157 0.01160319 0.08901107 0.12389671 0.05660292 0.05702274
0.0805592 0.09935106 0.03291289 0.10909384 0.07531495 0.10251495
0.05530566 0.05184955 0.047211 0.08735951 0.05117868 0.05489998]
[ 0.74999199 1. 0.74999199 0.11389776 0.11796031 0.08721566
0.00123319 0.0509416 0.62498799 0.1211073 0.05211916 0.06992144
0.04449062 0.02473817 0.04933901 0.11623147 0.0722245 0.03147108
1. 0.01891475 0.03773692 0.05798346 0.03337689 0.01556935
0.00556804 0.10164884 0.11974445 0.0873471 0.05089989 0.00283037]
[ 0.08263787 0.62498799 0.09557908 0.09435636 0.04355359 0.12228848
0.07408569 0.0816907 0.05869704 0. 0.0330179 0.24997597
0.01610032 0.11640648 0.05900675 0.06562677 0.04387557 0.01853939
0.01159901 0.62498799 0.07910685 0.04523237 0.04011228 0.0282043
0.09686729 0.62498799 0.08461837 0.00202739 0.07653898 0.49998398]
[ 0.0400055 0.0908779 0.06814083 0.02448983 0.08569597 0.06537658
0.05598762 0.03988294 0.06849228 0.00291593 1. 0.874996
0.0686139 0.05187441 0.07569779 0.74999199 0.01393584 0.01350186
0.0622521 0.74999199 0.00114468 0.03809525 0.10199228 0.01181962
0.09383756 0.08360969 0.02288907 0.09783217 0.10795221 0.02928492]
[ 0.74999199 0.05637225 0.06419831 0.04444357 0.24997597 0.08809224
0.11185309 0.05218867 0.49998398 0.07397027 0.10899783 0.00551842
0.06772108 0.00517377 0.10666661 0.0342812 0.0121207 0.07484689
0.02359459 0.07212842 0.24997597 0.04210987 0.08535175 0.02341898
0.874996 0.11507794 0.10210788 0.10908905 0.08702841 0.06475393]
[ 0.11274922 0.01428266 0.874996 0.09857475 0.02479326 0.02771006
0.62498799 0.11087187 0.0134751 0.05208539 0.09357425 0.08923956
0.11006888 0.10719206 0.49998398 0.02819866 0.05213129 0.01836794
0.04475549 0.025566 0.08466067 0.09823983 0.07401022 0.07495431
0.04286985 0.11593092 0.03992573 0.10512435 0.01232185 0.24997597]
[ 0.04842106 0.02131962 0.09595821 0.02806857 0.06324422 0.02676325
0.07655767 0.07763073 0.00196402 0.00403268 0.08041187 0.02357515
0.05194047 0.05579035 0.874996 0.06380087 0.62498799 0.10010012
0.00204971 0.08328657 0.03025419 0.06465234 0.06877827 0.09844707
0.00276148 0.874996 0.74999199 0.12394176 0.0257412 0.01465829]
[ 0.08234454 0.62498799 0.74999199 0.10284139 0.0209264 0.12157487
0.05387618 0.49998398 0.874996 0.06175158 0.04304325 0.04652167
0.10406238 0.10630991 0.04938329 0.1246498 0.06094578 0.03810785
0.01340292 0.0773988 0.0139368 0.05786224 0.07428617 0.02579044
0.874996 0.09697344 0.05561932 0.07137176 0.10095155 0.10125512]
[ 0.01332685 0.05714841 0.0542492 1. 1. 0.02137483
0.74999199 0.05721392 0.11326905 0.10069371 0.08411684 0.02524852
0.1101507 0.11052804 0.07084981 0.09817149 0.07243731 0.09067077
0.00268258 0.00801315 0.11881791 0.02894733 0.05697172 0.05921621
0.00193463 1. 0.11150508 0.02413504 0.00858167 0.09571681]
[ 0.0977758 0.03177644 0.11273154 0.07086268 0.00496854 0.00807079
0.11170629 0.08361018 0.0994063 0.0876096 0.37497998 0.12148701
0.07558322 0.02845212 0.0875174 1. 0.11588718 0.00635722
0.08169577 0.08232573 0.01652142 0.11676088 0.0589781 1.
0.00207723 0.02088575 0.09835283 0.01714102 0.0323954 0.05567584]
[ 0.05462061 0.1219817 0.00798704 0.08640577 0.11760522 0.07223597
0.04392636 0.01382162 0.04485307 0.06066851 0.0088017 0.12112164
0.01263647 0.00684673 0.08073063 0.0290112 0.00380404 0.04301318
0.62498799 0.02247463 0.1034524 0.04617269 0.24997597 0.07744119
0.11370479 0.02680636 0.0531602 0.10971223 0.02393661 0.00616583]
[ 0.10011104 0.0665475 0.08527098 0.04932446 0.02364676 0.0438072
0.04380816 0.02289904 0.04786565 0.02366193 0.07077987 0.02794172
0.12318238 0.24997597 0.62498799 0.05583473 0.10602904 1.
0.04767145 0.74999199 0.03349032 0.06179442 0.03494156 0.00318062
0.24997597 0.02333301 0.08660106 1. 0.06262005 0.0800469 ]
[ 0.01508375 0.08352311 0.11508475 0.08562558 0.02079254 0.24997597
0.09827984 0.02506365 0.11966192 0.08932048 0.01049744 0.02396474
0.0114951 0.49998398 0.0044513 0.05003193 0.04453325 0.874996
0.11632845 0.08008126 0.03037394 0.04123458 0.74999199 0.05234173
0.07686202 0.04646336 0.01530542 0.12223299 0.04721468 0.0014269 ]
[ 0.74999199 0.04108837 0.06860021 0.08935493 0.06388053 0.05290996
0.05799243 0.11797794 0.37497998 0.00152617 0.10758737 0.05946149
0.10873378 0.11559256 0.11431511 0.01777562 0.09027804 0.03804225
0.05565782 0.09960552 0.1096348 1. 0.02593052 0.04160147
0.10132701 0.02525723 0.02399766 0.07708503 0.01238345 0.03235314]]