利用正交多项式基函数求解[tex=16.286x2.357]Uvh5Koks4Vyfe25VcsYap4pS8wwXna4KE+mxOwtbbGm5ZOyspBeo0lLsuQe9DMYCMyniGktWHVtlPNKD4E+rbg==[/tex]。

2022-07-29

利用正交多项式基函数求解[tex=16.286x2.357]Uvh5Koks4Vyfe25VcsYap4pS8wwXna4KE+mxOwtbbGm5ZOyspBeo0lLsuQe9DMYCMyniGktWHVtlPNKD4E+rbg==[/tex]。

答案：

解：作变量代换[tex=8.571x2.786]meezUWRe63IysaFhV2bamjOViQTqgiMB5rnPVQ6Kml6w/t4kPK14eEPujz7PbeUY[/tex]，则区间 [ 0,1] 变为 [ -1,1]，[tex=23.429x2.357]Uvh5Koks4Vyfe25VcsYap4pS8wwXna4KE+mxOwtbbGli2m1tFquX7pk7MhV58dYiUfuRIsVarqMsc/ZxwhQgvdd+D3ljBUImqQR0380pI076KNV+ZVvJIzW4uWlkbmEwchgoRdB/m3zWiDnWZJe7ug==[/tex]由于在区间[-1,1]上的正交多项式式勒让德多项式，故取基函数[tex=3.286x1.357]xCKGxgpwvjRtZYix6Chi0w==[/tex]，[tex=4.143x1.357]3MNwjy3CyH4rpu/eC3abCYXVS510fHSpH/wkddVcU+Q=[/tex]。由[tex=25.929x2.857]z/dSvWNb1o4zS9LXUxHgT9/xnDvRN5wzsmv4lKkGG+5a5tNpoO2npphTH5U4XovRf+PA4iO2UX8jjesRcizR/d9yOeYh18Jd8Tpp7G4wN7edTFV1nGhNUp+ycItEEcyK5VuSD+9Zzuc1FUcakzPsUgUKoAGr1HfxplanRvRTNBNam7Wu6Qryt0FYjELQ0Yfb[/tex]；[tex=26.071x2.857]i+6GKkRgbFmMP7+Qp02EU9WNJaZJE1vfd8dyuLWfpX0+8dFrfTXnk8I3NVElLb/hg4YbSGmOsDM3D7wI+2X8hISpjc7TKggw+3NnLWPaaQ5267UDbqK3fP9puegy5ms8skcTc9MUrsHVebXXkKmr3peH4TSg1QkZDvcmAzvKsMAQgKM0EtedxNeZUxRZONKw[/tex]；[tex=8.0x2.857]ysvbLMUScH1fniwyS95PvH8fLbSXBdK3MavsnXs33vxE5Cp3Ms65FP5w1v4iNK0B[/tex]；[tex=10.143x2.857]HsnV7uyJXAquNv0DFOTPP7fr4IYCceiJSrMDEEfmLxyAIaSOaZc9uYj/dzaEDKYqLCFDUGqFwhbdltyHx75DhQvZddexxJOzfn++WTphAr4=[/tex]所以，[tex=27.357x2.929]Zx9v2GGsSOnuc1Yezl/IrWjQ6+lF1GdT9JQsK1DeS/vHlHw8s2NgQBnQsJN4/7Ig7ei8vXc/KdK9c4chrDQmnV4vVHcvv+qZxYnsMlp5/D0Avbc+ODrfGpkjolGLQIxprFCPETbNyRDd7wfTZvlLtXZj4WPozrnlQHmmFqXOTIhy3GozH0qSKgaeNfW04TVnRiCp/Y/UKg2QMdXu538dX2Qxq+MF0bsudl2dxcgmQK5SVWSYE95tK0GuYVVoKK2cvg4xTafok4/XVK1NtdKsC4rOM2BkGtsBjwEV3yTXhBA=[/tex]故拟合函数为[tex=24.714x1.357]9UzVXDzg20NKSzUTwKiray/iG77ayLeC90vovZeDbpTOWKu7P8hV0zAWbmy81AtTZ32BJjBBDMar1mXT+dAMgK5OhrLRgKS7iCNiKLlcFKQ=[/tex]

举一反三

内容

0
set1 = {x for x in range(10)} print(set1) 以上代码的运行结果为？ A: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10} C: {1, 2, 3, 4, 5, 6, 7, 8, 9} D: {1, 2, 3, 4, 5, 6, 7, 8, 9,10}
1
求不定积分[img=121x54]17da653839aa6ae.png[/img]；（） A: log(x^2 + 3*x + 25/4)/4 + (5*atan(x/2 + 3/4))/4 B: log(x^2 + 3*x + 25/4)/4 C: (5*atan(x/2 + 3/4))/4 D: log(x^2 + 3*x + 25/4)/4 - (5*atan(x/2 + 3/4))/4
2
【填空题】1、口算。 (1)72÷8÷9= (2)100÷10÷2= (3)25×8×4= (4)1000÷125÷2= (5)25×19×4= (6)900÷25÷4=
3
输出九九乘法表。 1 2 3 4 5 6 7 8 9 --------------------------------------------------------------------- 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9 9*2=18 9*3=27 9*4=36 9*5=45 9*6=54 9*7=63 9*8=72 9*9=81
4
有代码片段：function f(y) {var x=y*y;return x;} for(var x=0;x< 5;x++) {y=f(x);document.writeln(y);}输出结果是( )。 A: 0 1 2 3 4 B: 0 1 4 9 16 C: 0 1 4 9 16 25 D: 0 1 2 3 4 5