[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]是定义在半无界区间[tex=2.786x1.357]qHzS+IekiKDQ9GNDYiUdxA==[/tex]上的函数[tex=10.857x3.357]b7Fls7iATEUWHjrNBnbaR/Jzs7x39/WdEQFVS1fO4QK0f2hsgkGAvAEvh74Doy1lgrh6tASZkXQkLWvXbYiYFUAnzIbm7q96yumjWda5zxE=[/tex]在边界条件[tex=3.071x1.357]cV8DJRLRVo99uGOY/uNCwQ==[/tex]下,将[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]展为傅里叶积分;

2022-07-01

[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]是定义在半无界区间[tex=2.786x1.357]qHzS+IekiKDQ9GNDYiUdxA==[/tex]上的函数[tex=10.857x3.357]b7Fls7iATEUWHjrNBnbaR/Jzs7x39/WdEQFVS1fO4QK0f2hsgkGAvAEvh74Doy1lgrh6tASZkXQkLWvXbYiYFUAnzIbm7q96yumjWda5zxE=[/tex]在边界条件[tex=3.071x1.357]cV8DJRLRVo99uGOY/uNCwQ==[/tex]下,将[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]展为傅里叶积分;

答案：

由于边界条件[tex=3.071x1.357]cV8DJRLRVo99uGOY/uNCwQ==[/tex]，则[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]须展为傅里叶正弦积分即[tex=10.786x2.643]A1OOCr90xi8C5wDKkLS3RgMLWU7HM+/E2ICnhFKOYBz2keBoti0iojxmFNDNh9oE9MMIXCrNagI9SoFC4LL4Zg==[/tex][tex=24.929x6.214]a0s3MH7cLIdmiBRR0YN068ipb+DpkvPXk7RWOtUF5qG+4z1+K2HrxUxAwR7tn3d9GN15bJUIWc5R3+cV+ZuqSTAQkpKAS/iBWMceV5Jm5gHJmvWs/E9qeOpEYGYk2Ehgvah/HINKQSUgQvnmLUgr+7lnmL7qTX/9MpxB1tgwyN93LpbiCOZzyzZcR82b2Zt+XaG6XTkHFwruQnP4+41lY5kmh6/daJZ+ZFfITokD97b/QnUYCITcSaipOaL9e5jtogG8Uy98J9o8kdhvWn7oBodZVntJFOxu09syayjXUHdRgvEhOvl6AC1pBzFzwai9JGO5TouR0Xo0XWMBBUxz186N1zc7IkLdrePWAwmwWrHqkFItlKrupziOQu+MF1q+Zg51/I1TQV6tlm9m1cV9bxqh7NC80gnxukWWp9I3I4t4wpQatazwoFqBDbj2fWByB+P/hG3IPoZ3JMY55a7TZg==[/tex][tex=27.643x2.643]PTVdc+UCjO+4HSgnh3PFKZn7O+GzVimaiYw6c2gdXCjKkU1dFQnaSF55bQGeF8o+5YuYjLRQoj7lDR2j58cMDt5YiipOgovr8CUl1mBgrE1EbxwfRh26YSDcwRhcvUrqZQteHz0L0XhWUm6zHuxTNlvVlW/k3XOowfqtEeT6hVESfdxt7rC2fR6RR0D5Zqqh1M1ng/iD1w1iGjC50f7dO4yK+lc6WsvRXN3Z84LQJB8SEb682P9UAa6krE/IPmO8[/tex]

举一反三

内容

0
设[tex=9.286x1.357]JdWYfGtp5xNLOqpyIVhygjmb5t6NhuQKLsfnOlCdADU=[/tex]其中[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]二阶可导，[tex=2.786x1.357]XFjcQ0Gsv9lEUsq2Ht4/nQ==[/tex]具有二阶连续偏导数，求[tex=2.429x2.714]Hvc3DRViYQYrFC7OWnSXU8sm/Pmd4fpXiN2+clQYNt4lDMw+d/AngnlMuvf4C5Ve[/tex].
1
周期函数[tex=1.857x1.357]BGkv0wKMIn2R4tUsMDFEFA==[/tex]的周期为[tex=1.071x1.0]cWYnFY7tUlCT6WhMhv7goA==[/tex]，试将f(x)展开成傅里叶级数，如果f(x)在[tex=2.929x1.357]FPqH6WHujNUJq9Xq0SIplg==[/tex]上的表达式为：[tex=3.929x1.5]wwWic7scd5c6929ljvvkuQ==[/tex][tex=7.0x1.357]Oy5aLxKJPd5t68LIQjG2E0wMwRmACKgIr/D8IhaESKI=[/tex] .
2
设[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]是在[tex=3.357x1.357]o0la+bcvT8Dt4VmZXWH31g==[/tex]上所定义的几乎处处有限的可测函数.那末[tex=1.857x1.357]bawv/j+LZ1l+o4ciN/29dA==[/tex]上有如下的单调减函数[tex=1.643x1.357]Zc3VsateyNP94/Q7WzmJgQ==[/tex], 关系[tex=10.357x1.357]DcWqAwkgBy0Edb2v99+PrEMu2dVaM7APekvlfo2bkaY=[/tex]对于任何实数[tex=0.571x0.786]c5VsltFnl9nO0qB/vNKOWA==[/tex]成立.
3
设[tex=9.357x1.357]RQ1Rf7mZVROyElKiWF4od8pL54L/1399H9W3X6F4zcE=[/tex]是方差为[tex=1.0x1.214]DD18FbyBUBjAsUtK4hq+hg==[/tex]的布朗运动,[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]和[tex=1.643x1.357]Zc3VsateyNP94/Q7WzmJgQ==[/tex][br][/br]是[a,b]上的两个连续可微函数，试证：[tex=24.214x6.071]a0s3MH7cLIdmiBRR0YN06xEC/tZ74l1fRAQEqZ4GyaP0/3SVo7pR7Oz009DuabWYTR+0C9QxM5WRMuATPKNT6zSuPhFCmM36LMT+BcINc0cmcIh+MqWuyew6grLDwxiqy27lur2Ox6sgdMQ3pS+kujZtaJs6km7kcU8LrqjL2557n8mUVoJJ/GqdHkNep3Ngwf3EoRd0oCyeMPSViu4jvAT2s1sPhahCAAI6MMhrYHMCVTWbUiCTmjOOWODheiJmSi+vOqOFqqePXJLq8le2AFbl3XzldukRhH4ty5cC2q0=[/tex]
4
[img=184x133]17ae6a2469f1ff7.png[/img]已知[tex=1.643x1.357]QEos0FZVoxidwAY2Qi/JJQ==[/tex]波形如图题所示，试画出信号的波形图。[tex=6.214x1.357]WXpkZG6E6CAtWgEmUbNCSSHtPWTIyEO5Ef8zJNAkcME=[/tex]