• 2022-07-27
    利用Legendre多项式的Rodrigues表达式和分部积分公式,证明[tex=27.214x2.857]v5eQ5B96yfT9yIdnu0VFN0fIcQL0wM89jnkRXvTAk4GcEkrWZKxljR3UxfHzctsPWq9m4Nkw822oY63a0TzisVFEPRWj+z/6LWsrAJyLwez72qNwGthqUF/5Bqv2G/bG1CkUnvHusYDB5Z4J8w/2jfcZlxNHYpYsplZgdD14FxTie96YDT/hIDym9tb2TgnplcNBLkMbfbwmAgkAq4skqg==[/tex]
  • 设[tex=2.857x1.071]RcIhg+MkvwM7Zr3v3UW7zw==[/tex].利用分部积分法,得[tex=21.357x9.929]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[/tex]由于[tex=3.643x1.571]4KyCSWmE869f1o03WkRK7Zd8Gfs7BxhkU2b/38RDv5k=[/tex]以[tex=3.071x1.143]MRLAni8cu6Z9Iyjq91ieuw==[/tex]为n重根,所以右边第一项等于零.继续用分部积分得[tex=23.0x9.357]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[/tex].当n>m时,[tex=11.429x2.929]pSPSO/Q9d6vfFI6Rl0vLf54BZZueKVhbOt7LxVj7NS7SObm3Ymy7XBdf0smZwURzoIo2dEnsmx5FDzgb0Vi0KO1e4Pdqc9/lGcrHWVjHP42/p11gGnIIekkt+V+t/WpYRw1Ro02GPwOF22J1nmdtEQ==[/tex];当n=m时,[tex=28.071x11.929]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[/tex]因此,当n>m时,[tex=3.071x1.214]lN0oDYZarkZCG6hwJDVKGA==[/tex].当n=m时,[tex=8.786x2.929]oU36ww7GKZ8mD1AtnGvRCWj0HBrIgr/rvmSxxw4JhogQXSgjU5VfHcuMU5RLi78jKpPlmqa3TKOjBP0Ykc0rWQ==[/tex].故[tex=21.714x2.857]CwhqPG7y0gVXCZiSm3lBkPvOJkniXa/QEurIYyYXhQjXbxOlKMJWr0xrtvKbkARYfrOJydxPsRW6T590+5eoAOHY4ESPQYvk+Tojz0MSRnr+vF9+r+43EBawOuox6rLkAPZMxGENjd/kPYXgltzuoh9CV3X4Cbl00508KUR6YLY=[/tex]和[tex=21.571x2.857]v5eQ5B96yfT9yIdnu0VFN0fIcQL0wM89jnkRXvTAk4FrJ2mlacDCNXBQcKsLlMSQvTkzKXvKGFWR7a8tjuJTHacagiMzPRfLG4opCbEit4hIvVbzYJcx6p5Sw7NJ79lJEAgiyJb6p39BkF0sgIfA1Q==[/tex].证毕.

    内容

    • 0

      【单选题】myarray1=np.arange(15) myarray2=myarray1.reshape(5,3) print( myarray1) print(myarray2) 输出值是? A. [ 1  2  3  4  5  6  7  8  9 10 11 12 13 14 15] [[ 0  1  2] [ 3  4  5] [ 6  7  8] [ 9 10 11] [12 13 14]] B. [ 1  2  3  4  5  6  7  8  9 10 11 12 13 14 15] [[ 1  2  3] [ 4  5  6] [ 7  8  9] [10 11 12] [13 14 15]] C. [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14] [[ 0  1  2] [ 3  4  5] [ 6  7  8] [ 9 10 11] [12 13 14]] D. [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14] [[ 1  2  3] [ 4  5  6] [ 7  8  9] [10 11 12] [13 14 15]]

    • 1

      利用行列式的性质计算下列行列式的值1 2 0 0 02 5 0 0 0 9 8 1 2 37 6 4 5 65 4 7 8 9

    • 2

      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}

    • 3

      已知S盒如下表,若输入为100010,则二进制输出为( ) [br][/br] 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 7 13 14 3 0 6 9 10 1 2 8 5 11 12 4 15 1 13 8 11 5 6 15 0 3 4 7 2 12 1 10 14 9 2 10 6 9 0 12 11 7 13 15 1 3 14 5 2 8 4 3 3 15 0 6 10 1 13 8 9 4 5 11 12 7 2 14 A: 0110 B: 1001 C: 0100 D: 0101

    • 4

      设DES加密算法中的一个S盒为: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 14 4 13 1 2 15 11 8 3 10 6 12 5 9 0 7 0 15 7 4 14 2 13 1 10 6 12 11 9 5 3 8 4 1 14 8 13 6 2 11 15 12 9 7 3 10 5 0 15 12 8 2 4 9 1 7 5 11 3 14 10 0 6 13 若给定输入为101101,则该S盒的输出的二进制表示为