用施密特正交化方法把下列向量组标准正交化:[tex=17.929x3.643]spsZ+rMIOMiqBxP/ZoH2F2y3Q9X18LN9v4wmuMzCffS5Vc0ofl9qvMHeezXiONkXB8nGLbFqXHhVZak8iXxxZChLw4asPdgjSjllPT8bSE1NVt/HB7Khbng8B6yoyp+kDTtzvRtHzm3dZQJm62QIpN5rqI332i+GmzCtwKHWLrLgiYda3djnXrzzSzRGfF2fvru0CetA9F1QgEkChVIwuSu4fA5OpIc2ySAe2mEi3+Vhuo5EdPRIYaAUgX5fryFhvfqR+GKvKTUxwy/g7AfoAAlKQWjfQOrolspQ5pPz7ylP6U8jAEiBWhVBUouxYufV[/tex]

设 [tex=17.929x3.643]+HNIZcMaSzNwCe0LO7bsUq/nNqiD9uPVTX2/0HTi4M0q/te9KkRtm5HfyVLnPhajn4Vgt9rLp5/DEAp7/5aIxmXwgx2M+RlblNjWD/PjR+n1VUS3cBIjSTtMZqzts7Iv1HU7w6k23DPHlFUKYIQm2ZrM6CAjp7IKZhIwQvqytHWtE33NzJzHbQDuDHYZOS/BPq8VnhZyuIFnvHQENnUL7bXdoDPGnHJNLabsqKc3ACqSxN+noBTWeuoXuY1UQ/OW[/tex] 计算 [tex=3.286x1.357]c5Cf4pRARaBipYntugL/3mcCdGW8oLX8TuVL2hlN+dhxQZx93slEJALYoEwnmOZj[/tex]和 [tex=7.071x1.357]Pl82IheWxVFVdJ2+Fd7sooDwA1vCsUYJ79qw1HJGzIYGL9nQUY7/IpbbXv3Umc+XgF+c3q6jeuChbsh2EtDuze779DwWKHVL9EDcIODNhIM=[/tex]以及[tex=7.071x1.357]95l45PjlG6z6EXOMXiCKI5ym7AKifcryaki9J90blWSS0TSi5F7BB6Z8CIXotYOrEGHGieV3Qiixh6A2B4a0A5pqUK64rpWa6aFezvHfIYc=[/tex]

设 [tex=17.929x3.643]+HNIZcMaSzNwCe0LO7bsUq/nNqiD9uPVTX2/0HTi4M0q/te9KkRtm5HfyVLnPhajn4Vgt9rLp5/DEAp7/5aIxmXwgx2M+RlblNjWD/PjR+n1VUS3cBIjSTtMZqzts7Iv1HU7w6k23DPHlFUKYIQm2ZrM6CAjp7IKZhIwQvqytHWtE33NzJzHbQDuDHYZOS/BPq8VnhZyuIFnvHQENnUL7bXdoDPGnHJNLabsqKc3ACqSxN+noBTWeuoXuY1UQ/OW[/tex] 计算 [tex=3.286x1.357]c5Cf4pRARaBipYntugL/3mcCdGW8oLX8TuVL2hlN+dhxQZx93slEJALYoEwnmOZj[/tex]和 [tex=7.071x1.357]Pl82IheWxVFVdJ2+Fd7sooDwA1vCsUYJ79qw1HJGzIYGL9nQUY7/IpbbXv3Umc+XgF+c3q6jeuChbsh2EtDuze779DwWKHVL9EDcIODNhIM=[/tex]以及[tex=7.071x1.357]95l45PjlG6z6EXOMXiCKI5ym7AKifcryaki9J90blWSS0TSi5F7BB6Z8CIXotYOrEGHGieV3Qiixh6A2B4a0A5pqUK64rpWa6aFezvHfIYc=[/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)

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)

以下谓词公式中，( )不是逻辑有效式。 A: ($x)(P(x)∧Q(x)) Þ ($x) P(x)∧($x) Q(x) B: ("x)(P(x)∧Q(x)) Þ ("x) P(x)∧("x) Q(x) C: ($x)(P(x)∧Q(x)) Û ($x) P(x)∧($x) Q(x) D: ("x)(P(x)∧Q(x)) Û ("x) P(x)∧("x) Q(x)

以下谓词公式中，( )不是逻辑有效式。 A: ($x) P(x)∨($x) Q(x) Þ ($x)(P(x)∨Q(x)) B: ("x) P(x)∨("x) Q(x) Þ ("x)(P(x)∨Q(x)) C: ($x) P(x)∨($x) Q(x) Û ($x)(P(x)∨Q(x)) D: ("x) P(x)∨("x) Q(x) Û ("x)(P(x)∨Q(x))