已知 [tex=9.357x2.786]pycr+kk8SQ8A1I4uKjgNYDUi0VM2OdYY9bnh/vgGY6Y+2ilVyIwRyfG8b9Qm0pTV[/tex] 求 [tex=5.071x1.571]quXb6iXqaCtYJZK446xsW8sPkloHkCefskBYmX8PiVs=[/tex].
已知 [tex=9.357x2.786]pycr+kk8SQ8A1I4uKjgNYDUi0VM2OdYY9bnh/vgGY6Y+2ilVyIwRyfG8b9Qm0pTV[/tex] 求 [tex=5.071x1.571]quXb6iXqaCtYJZK446xsW8sPkloHkCefskBYmX8PiVs=[/tex].
写出使下列泛函取极值的 Euler Lagrange 方程,并求解:[tex=9.357x2.786]eTB2MhbhXLw1XUHDBY7O/TwqACo0KJfbT7acUH41pyptWkNikof7P72l59mPx3jrkoQKBRhW388+WYcVr8+2WQ==[/tex].
写出使下列泛函取极值的 Euler Lagrange 方程,并求解:[tex=9.357x2.786]eTB2MhbhXLw1XUHDBY7O/TwqACo0KJfbT7acUH41pyptWkNikof7P72l59mPx3jrkoQKBRhW388+WYcVr8+2WQ==[/tex].
沿着积分路线的正方向，应用留数的积分定理计算下面积分：[tex=9.357x2.786]6dPl8uDl1YQS7eKjHjj3afs6vdTKymDWpYyiJXwD182ADPyZC7IvqLZLW0ofy6PNt6aryWnYC25SNCouMHg0abyNcUpl3NSCd9B3mwBZHjY=[/tex]
沿着积分路线的正方向，应用留数的积分定理计算下面积分：[tex=9.357x2.786]6dPl8uDl1YQS7eKjHjj3afs6vdTKymDWpYyiJXwD182ADPyZC7IvqLZLW0ofy6PNt6aryWnYC25SNCouMHg0abyNcUpl3NSCd9B3mwBZHjY=[/tex]
设A,B均为n阶可逆矩阵，令[tex=9.357x2.786]5H9hzdSSj0Iw7e01mgHq5A/Z41fCQhMjMu2c1/p78siAqIWz/6TThkIff1LmRxs/zDcGSPZJ4Y7BmzFKQM3M5WoRfQSO+yelb5YarsqheS7OhT3xpI4AkKi5jae11G4UlUCHgUrfE9oXV8y2pm09yrO90brMuP0vpTat+O04pJt/H3QLCdTFNni4PO/p9nbv[/tex]求[tex=2.143x1.214]eFlfbd8kEDuCRli4hooAHJZtdzp5rz7dhteyipFzrIg=[/tex].
设A,B均为n阶可逆矩阵，令[tex=9.357x2.786]5H9hzdSSj0Iw7e01mgHq5A/Z41fCQhMjMu2c1/p78siAqIWz/6TThkIff1LmRxs/zDcGSPZJ4Y7BmzFKQM3M5WoRfQSO+yelb5YarsqheS7OhT3xpI4AkKi5jae11G4UlUCHgUrfE9oXV8y2pm09yrO90brMuP0vpTat+O04pJt/H3QLCdTFNni4PO/p9nbv[/tex]求[tex=2.143x1.214]eFlfbd8kEDuCRli4hooAHJZtdzp5rz7dhteyipFzrIg=[/tex].
设矩阵[tex=9.357x2.786]1/FLtrC8hB/pNFpnMt28N6YYhhrVlCnLrHaHUYZCgJstoBlQW74K098qRS27vjzxqZvh8NCaaXqbVKZfBsQhjpOy0KC2VU9FHxLv3mE/qR8N9q3hXiuBU9MUzKXboZLL[/tex]，[tex=8.571x2.786]wK/tDmUX/6mGW6f2tpIfainxFTS8uYnRF1mCoHt/WCEChHv3XPqf3yj5+0NtLDXUwL9D4FjQYBOrt3eY9/d7v67/RxoB1U0IEsnevrFXcNs1Kh3C0tFDufFlEUeuV84l[/tex]，求[tex=2.571x1.143]r5Haq7W1lVGBc4dFEM2Zk1W3v8ag3hQ/jxq8jI47ovMRWPbY5eGp58IqJCI62D0L[/tex]、[tex=2.571x1.143]jyWvUwiZHYocudv3dZ40u3PiCE6YmHjBoAEA/VHQYKI=[/tex]、[tex=3.571x1.143]Uj9WGbTLOm+tIC5hyi5Kpj7E/Dz3NFHyDtRpARrYS6yN8KCQQyGLDgaFdBL1IeUR[/tex]。
设矩阵[tex=9.357x2.786]1/FLtrC8hB/pNFpnMt28N6YYhhrVlCnLrHaHUYZCgJstoBlQW74K098qRS27vjzxqZvh8NCaaXqbVKZfBsQhjpOy0KC2VU9FHxLv3mE/qR8N9q3hXiuBU9MUzKXboZLL[/tex]，[tex=8.571x2.786]wK/tDmUX/6mGW6f2tpIfainxFTS8uYnRF1mCoHt/WCEChHv3XPqf3yj5+0NtLDXUwL9D4FjQYBOrt3eY9/d7v67/RxoB1U0IEsnevrFXcNs1Kh3C0tFDufFlEUeuV84l[/tex]，求[tex=2.571x1.143]r5Haq7W1lVGBc4dFEM2Zk1W3v8ag3hQ/jxq8jI47ovMRWPbY5eGp58IqJCI62D0L[/tex]、[tex=2.571x1.143]jyWvUwiZHYocudv3dZ40u3PiCE6YmHjBoAEA/VHQYKI=[/tex]、[tex=3.571x1.143]Uj9WGbTLOm+tIC5hyi5Kpj7E/Dz3NFHyDtRpARrYS6yN8KCQQyGLDgaFdBL1IeUR[/tex]。
利用初等变换求解下列线性方程组：1.[tex=6.929x2.786]LxijgwYJR62XZBuC+wi8DRcKdkqolm2eXLVgvy//O/u9A2/JG2pP6cAetyNE4NQp6lSWCr3QH38K8vT/+H1lhLzkgDD/ch+K1WvEo/MF99z6TVCxNT6wLS2VzbBietHL[/tex]2.[tex=9.357x2.786]LxijgwYJR62XZBuC+wi8DXyxt3Ki6s5RO11440CzklzsSgc0XOctbUZV/rk2Ys/eUW5oD7gp7SUqdUmQGjqDEp4g2sJrNjRykaJAgLdjSq4dIYrqg0pGbtpQlz8PrCF0PA4lOPCxvO+kA/RhYotmfA==[/tex]3.[tex=9.5x5.214]LxijgwYJR62XZBuC+wi8DXyxt3Ki6s5RO11440CzklzsSgc0XOctbUZV/rk2Ys/eVz35SbTpLewMBEApA3y20DeX3Rb9HPYo5YMB9eQvBwPBTq3U571bUFUDZboaFyVSIEiw6w23YXygPc8XhQeEAKWOjxWguijQESqEZOXHTpTotdyts42kuVpXZdOATc8awtwbH9Z65v7Y1ZszVWNKIsAZu9zCKYkfrC47j4miUKI=[/tex]4.[tex=10.286x5.357]fnpmC2J6JmQBLyo5NmGAz5Bo72kJfJcJdFHkIrF1KOpAML8EDuUpA2xoffXblxcOjwNitqeMkP5GUu9D/TJJyMKlwakZj+KdCHulg3XpLz7A+Z+zShr7XhEg/z+K5C8s8YZDdm8qQEq1Z04mUNdQVFg2Z+c1Rohl3DRwiDIsAetE/88da7+wcFEYSMcwkF8UhgpHd7jlqIL4uj5K7KllEQ==[/tex]
利用初等变换求解下列线性方程组：1.[tex=6.929x2.786]LxijgwYJR62XZBuC+wi8DRcKdkqolm2eXLVgvy//O/u9A2/JG2pP6cAetyNE4NQp6lSWCr3QH38K8vT/+H1lhLzkgDD/ch+K1WvEo/MF99z6TVCxNT6wLS2VzbBietHL[/tex]2.[tex=9.357x2.786]LxijgwYJR62XZBuC+wi8DXyxt3Ki6s5RO11440CzklzsSgc0XOctbUZV/rk2Ys/eUW5oD7gp7SUqdUmQGjqDEp4g2sJrNjRykaJAgLdjSq4dIYrqg0pGbtpQlz8PrCF0PA4lOPCxvO+kA/RhYotmfA==[/tex]3.[tex=9.5x5.214]LxijgwYJR62XZBuC+wi8DXyxt3Ki6s5RO11440CzklzsSgc0XOctbUZV/rk2Ys/eVz35SbTpLewMBEApA3y20DeX3Rb9HPYo5YMB9eQvBwPBTq3U571bUFUDZboaFyVSIEiw6w23YXygPc8XhQeEAKWOjxWguijQESqEZOXHTpTotdyts42kuVpXZdOATc8awtwbH9Z65v7Y1ZszVWNKIsAZu9zCKYkfrC47j4miUKI=[/tex]4.[tex=10.286x5.357]fnpmC2J6JmQBLyo5NmGAz5Bo72kJfJcJdFHkIrF1KOpAML8EDuUpA2xoffXblxcOjwNitqeMkP5GUu9D/TJJyMKlwakZj+KdCHulg3XpLz7A+Z+zShr7XhEg/z+K5C8s8YZDdm8qQEq1Z04mUNdQVFg2Z+c1Rohl3DRwiDIsAetE/88da7+wcFEYSMcwkF8UhgpHd7jlqIL4uj5K7KllEQ==[/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}
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)
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( $x)B(x)
下列式中错误的是： A: (∀x)(A(x)Úp(x)) Û (∀x)A(x)Ú (∀x)p(x) B: ($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)