• 2022-06-15
    试证明下列命题:设[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex] 是[tex=1.214x1.214]u/EwPhudbQnOqlmqWT4jSQ==[/tex]上非负可积函数, 令[tex=12.571x2.786]REgeR8L4aVr3W1xEAjjPre+3bquEGoUxF5husXDwSvxilZqS+L4TlcRA5u/PIjLmMqqR5A38/9XBrISjEg3EqA==[/tex].若 [tex=4.286x1.571]Ka9idYLLUWyEkJ5APQ1o7IaGIdV5fs4siTylPOTUJ/c=[/tex], 则 [tex=6.0x2.643]e+yUMNjQeuJYe6l0ZbTv1I5iWNp5x+4YylwOv2sfjKc=[/tex].
  • 注意,非负函数 [tex=2.0x1.357]6D04mYW2ivsCmiBu0E4w8w==[/tex]随 [tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 增大而递增,且有[tex=11.071x2.786]Wh0BbcsxbdPTUak0FdVk/VaA97JqJ3Sk5xrfgQ9HqRFQ9/Tg49JE5pURObIZpK7nDWgSWN3Zn4PWpKOuwtXIT2lc6mZJ827lzRySFm5rL0s=[/tex].由此可知,若极限 [tex=6.643x1.857]ENxIatiC2yqgaopSQCG83m4tHAHxvcdjEeXAe5fyBt4W0ERlCohb15Wbbtn9rUWl[/tex]则 [tex=2.0x1.357]6D04mYW2ivsCmiBu0E4w8w==[/tex]在 [tex=1.214x1.214]u/EwPhudbQnOqlmqWT4jSQ==[/tex] 上不可积,证毕.

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    内容

    • 0

      试证明下列命题:设 [tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]是 [tex=1.214x1.214]u/EwPhudbQnOqlmqWT4jSQ==[/tex] 上的可测函数, 且[tex=1.214x1.214]u/EwPhudbQnOqlmqWT4jSQ==[/tex]中一个稠密集中的数皆是 [tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex] 的周期,则 [tex=3.357x1.357]OhxXs/wXe53/MGbhvJlqfQ==[/tex](常数),[tex=4.0x1.286]EYZqjowAIHEF+IHLJgiaVWUKVlK1V0I6YL/cqhHZuhw=[/tex].

    • 1

      求不定积分[img=115x46]17da65382f8e1b9.png[/img]; ( ) A: x - (5*log(x + 1))/4 - (3*log(x - 3)) B: (5*log(x + 1))/4 - (3*log(x - 3)) C: x - (5*log(x + 1))/4 - (3*log(x - 3))/4 D: (5*log(x + 1))/4 - (3*log(x - 3))/4

    • 2

      下列函数是哪些函数复合而成的?(1)[tex=4.214x1.286]6PuLCl/TwscTl61WSePGog==[/tex];(2)[tex=5.214x1.286]+mZ2Cm2OprRKGTGg0iqmyZx+4lZ796PxrSQNx30R9UU=[/tex];(3)[tex=4.214x1.357]jTbrMH55vzOFOJlLSnfh103OHFmRhIjXZGzPnfweOX0=[/tex];(4)[tex=6.071x1.286]W2A0mViHY0pK74wEByr6ED5K+AKV/pxHaeQdYGQBxwc=[/tex];(5)[tex=6.714x1.429]8up/G1s+GteD9ejcGkFVmYl3TTtTik5kuwrPDCv0JkbGIWyY33cnaw7XtBiPcSnh[/tex];(6)[tex=5.714x1.286]APaFs2rWyubdkzLcUVVxVJSSAsLEOtXn4KjnToE2BQA=[/tex];

    • 3

      判断下列命题是否为真:(1)[tex=3.643x1.357]/5abqJjwKZ1qr+6hsVFF5EBvfq3ggOFNlHMClz0h9nk=[/tex](2)[tex=2.929x1.357]rGJpyjIjJpbcoBTWxP0Jiw==[/tex](3)[tex=4.5x1.357]2wycHMoqU83MyEp17iBils58bR7YLuCTI2G9NVAdlfY=[/tex](4)[tex=5.214x1.357]CTz2gu+IIm1GgNmYMGaduCRtA41wnW4WqwRWwEhq6aA=[/tex](5)[tex=4.857x1.357]1DcE2BMMOaZhTuxR/mjgsboXxfg5ET59Dp4I/jjEDuw=[/tex](6)[tex=4.643x1.357]BSryrsQYOvTP2hTWRu6t4nAuJwlSs4L9jaq70EpB+Us=[/tex](7)若[tex=6.0x1.357]y0IZLUnBO88nR8WBZYvd7QXv5S1OMINV5cQNzPyiyAc=[/tex],则[tex=3.429x1.357]1brfPwTkVVIX4GfoMIUskA==[/tex](8)若[tex=7.643x1.357]MhLfJXZnhbXiB0x3oNtFzThV4Y1mJxe1VYr7PkJE/T6hmTD3WWp+UxbNwvUQ6DHk[/tex],则[tex=4.143x1.357]LZUA94ISo1po5HWsOVeBCjo0rMvj7uw3bGw5HiZenrI=[/tex]

    • 4

      采用基2频率抽取FFT算法计算点序列的DFT,以下()流图是对的。 A: x[0],x[1],x[2],x[3],x[4],x[5],x[6],x[7] B: x[0],x[2],x[4],x[6],x[1],x[3],x[5],x[7] C: x[0],x[2],x[1],x[3],x[4],x[6],x[5],x[7] D: x[0],x[4],x[2],x[6],x[1],x[5],x[3],x[7]