求下列函数的傅氏变换：[tex=9.786x3.643]YK4NeXV8J8wpEa3oko6RwGa+ZD/LRNlUbdom2Sf6GPdyV4ZJD1rLtdIX7hNhjRx/16l6ESIIOPN8XNjG9odARQ==[/tex]

设[tex=9.786x3.643]QN0fTQbn6M33pU3gx/S2sudGn2J7jdNtjHRdICYxSN4f/JcvT6Zw9Sm93ROE4gVgaO6LhnLRy2KFIwCmjACoMWwAB0bkB0Zm3znFkz8vf7AB3eu2GS7Pzs/aC0o8TiTN[/tex]，求[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]的特征值及对应的特征向量.

若随机变量 [tex=0.857x1.0]KGogyvwDAIJf/iL0H/9wjg==[/tex] 服从均匀分布 [tex=3.214x1.357]/DGzs+2HUOn1W8sIDeXZBw==[/tex] 则 [tex=3.5x1.143]2G3gumtFrXe6uL1S1WVV9g==[/tex] 的密度函数为 未知类型：{'options': ['[tex=9.786x3.643]Ym3z+Txvwa4fL5Ok2dZTNc/7JJo5SQf+5DyDUWnJXkgRI98EGR9Nxn4WOjY8k5/1v8t0g6OEd8TISrPE3C7yww==[/tex]', '[tex=9.857x3.643]CFful1zsvi2VGTfAa99/1WPHzNg2rVZaqtBk1qHP06R1Z4Ps7xR84Ksn9MUPMt519GQMYiR4JTjmVJXtG5awvw==[/tex]', '[tex=9.786x3.643]ePUE8soIzEWInzDykhvG3Zs9V8XcbajS+M78ErfHzxyyNOlxPxiLgnolYZAmiAGkGJxR2OFkNb2nnW9LRcnIIg==[/tex]', '[tex=9.857x3.643]Ym3z+Txvwa4fL5Ok2dZTNTriy/iIgL8pieg2JJYkAttU0sska06NdF4heE+ka/JH9+UmyBJ3KzX1bgnOX24uDQ==[/tex]'], 'type': 102}

计算矩阵的运算结果：[tex=8.214x3.5]No14tepOrgpLFcwU7iwUQaq7tFClr8PoT8Gx3elh/kIlRyKJahC1HJmCdOfNU+vZgeR7f5aZYvTxd1vutjCVJcxoy06QF7REiylaLQ8xpX6jkl14Ddld72XmLEkKcFT6[/tex]，[tex=9.786x3.643]vpEHupdc3mJmF5LA+52z8hxN+U0Zm+j30+H9ghd2aL8IGaYfDERM1ed5s/grrPU2S66f49L9EWmL/fi4YDqImQS/vSO0Z6j0D7wuA0HM8ApmcFpN/wBSa9BblHZT5gva[/tex]，求[tex=1.571x1.286]cHJ4KDAad01mWuGaiQQpfA==[/tex]，[tex=4.286x1.286]psVjnqg+d2bJV1Hdrze1Kg==[/tex]，[tex=3.857x1.286]UC912dOpzgJ5p0apjIKr+g==[/tex]。

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)

以下谓词蕴含式正确的是（）: (?x) (A(x)→B(x))=>( ?x)A(x)→(?x)B(x)|(?x) (A(x)?B(x))=>( ?x)A(x)?(?x)B(x)|(?x)A(x)∨(?x)B(x)=>( ?x) (A(x)∨B(x))|(?x) (A(x)∧B(x))=>(?x)A(x)∧(?x)B(x)

若 [tex=2.643x1.357]DJUMdJyw8QoCXHzomLtAYg==[/tex] 的联合密度函数为 [tex=13.286x3.643]s59y2K1bDNChzmHwfrn1oWhl78Bm4sSAHYoRFI9E7zIzkIFnP5VmFt90swG3q/7REgZSNCitOOLJFffVPzxrag==[/tex] 则条件密度 [tex=6.071x1.357]NuxacVWtu60RaFuUpeVZD8GfeduuXmdxBbic1H+El28=[/tex] 未知类型：{'options': ['[tex=9.0x3.643]yDpYipIsb4j+rgrPCXAW18IElu/Op6Um/ZzgGOq4kJX9n7caQg8BdKOlrj7k3CYv[/tex]', '[tex=9.786x3.643]yDpYipIsb4j+rgrPCXAW1yQYwrDiDl8FOYkr0MD9gq6CRIgQhea5pB0Y6DSP4gs70RReRWnkUwIz2J2MbPwVcg==[/tex]', '[tex=11.786x3.643]yDpYipIsb4j+rgrPCXAW1/hb4FoSAbvtudKAbwVdd3FbgPubmBXtrHuWcMGi2RdNh3RUfTAsrH5ARqJqNmr6zw==[/tex]', '[tex=12.5x3.643]yDpYipIsb4j+rgrPCXAW1462QFkJNByK6icClCuzGDJjb8hckEOe3dCUhdGbvrcsVPQ9dn3Shv485cj0BRiY7A==[/tex]'], 'type': 102}

下列式中错误的是： A: (∀x)(A(x)Úp(x)) Û (∀x)A(x)Ú (∀x)p(x) B: ($x)A(x) Ù p Û ($x)(A(x) Ù p ) C: (∀x)(A(x)ÚB(x)) Þ (∀x)A(x)Ú( ∀x)B(x) D: ($x)(A(x)ÙB(x)) Þ ($x)A(x)Ù( $x)B(x)

判断下列推证是否正确。 (∀x)(A(x)→B(x))⇔(∀x)(￢A(x)∨B(x)) ⇔(∀x)￢( A(x)∧￢B(x) ) ⇔￢(∃x) ( A(x)∧￢B(x) ) ⇔￢( (∃x)A(x)∧(∃x)￢B(x) ) ⇔￢(∃x)A(x)∨￢(∃x)￢B(x) ⇔￢(∃x)A(x)∨(∀x)B(x) ⇔(∃x)A(x)→(∀x)B(x)