写出二次型的矩阵:[tex=9.571x2.786]rv+w4sseovdxbHtXAL5pXqNnOXJIhRzgFuMlsu0t+srehG6i2pZEm3gOWqlWk/xdS6ojvHSDkwGEODuQ7fLpzN/c43OIy+AZHT/fd2hm/mE=[/tex].
写出二次型的矩阵:[tex=9.571x2.786]rv+w4sseovdxbHtXAL5pXqNnOXJIhRzgFuMlsu0t+srehG6i2pZEm3gOWqlWk/xdS6ojvHSDkwGEODuQ7fLpzN/c43OIy+AZHT/fd2hm/mE=[/tex].
假定[tex=0.857x1.0]+NBI8Pm2vVS+bGgOpHKyOA==[/tex] 个粒子的速率分布函数为[tex=9.571x2.786]5NJc5otF6CpDx7tPHbxdrDPYo29m9lxQBiEmMWTd8GoQloTE81l7B7hvj4AK1Nn15O9NCAQE2ORp5Dppm7MuPuhBSxzf+oWEy5C+xo++Dds=[/tex][color=#000000]求粒子的平均速率[/color][br][/br]
假定[tex=0.857x1.0]+NBI8Pm2vVS+bGgOpHKyOA==[/tex] 个粒子的速率分布函数为[tex=9.571x2.786]5NJc5otF6CpDx7tPHbxdrDPYo29m9lxQBiEmMWTd8GoQloTE81l7B7hvj4AK1Nn15O9NCAQE2ORp5Dppm7MuPuhBSxzf+oWEy5C+xo++Dds=[/tex][color=#000000]求粒子的平均速率[/color][br][/br]
下列变量在给定变化过程中是无穷小的是 未知类型:{'options': ['[tex=5.643x1.429]HPIjmqHaJGlo7ZfF1U1CJv3KDS2neoGYplu+MZINGAs=[/tex]', '[tex=5.286x2.357]JFOYYtH0K0jJjYlYAclks2KTeNQ0lybCBGWiB9J81nvS5jtedHMdyhFv/MPnwZ5O[/tex]', '[tex=9.571x2.786]DnhZNRYb++/h9Ad7VZB/eumeLFroFcCS9GF9J9HCQc2ObD6UZnPYGI6Hyt0FhV/37WhM4MrF4FKzW61tbB84ZQ==[/tex]', '[tex=6.714x2.357]nw4tgUmuQzKjQcR3slopuWpgBBKW3GOqXWDVu3xz+M5PnIrLOXq2rccQ63hu+6GN[/tex]'], 'type': 102}
下列变量在给定变化过程中是无穷小的是 未知类型:{'options': ['[tex=5.643x1.429]HPIjmqHaJGlo7ZfF1U1CJv3KDS2neoGYplu+MZINGAs=[/tex]', '[tex=5.286x2.357]JFOYYtH0K0jJjYlYAclks2KTeNQ0lybCBGWiB9J81nvS5jtedHMdyhFv/MPnwZ5O[/tex]', '[tex=9.571x2.786]DnhZNRYb++/h9Ad7VZB/eumeLFroFcCS9GF9J9HCQc2ObD6UZnPYGI6Hyt0FhV/37WhM4MrF4FKzW61tbB84ZQ==[/tex]', '[tex=6.714x2.357]nw4tgUmuQzKjQcR3slopuWpgBBKW3GOqXWDVu3xz+M5PnIrLOXq2rccQ63hu+6GN[/tex]'], 'type': 102}
在仿射坐标系中,求过直线[tex=9.571x2.786]fLmmH1IDkYoAzzgESm6T6rk7U0VHHr7bldhhXxa6NvAC8CdtDXj4Q+DMJneNkWc/SPhIwPrP4r1+b1xerPZP6d227845VX1pmQT1312Qy+s=[/tex]且在[tex=0.571x1.286]Hz6y44ELFVLLNrLVhO3CQA==[/tex]轴和[tex=0.5x1.286]asctJDWpGaq/ETe64ANZ1Q==[/tex]轴上有相同的非零截距的平面方程。
在仿射坐标系中,求过直线[tex=9.571x2.786]fLmmH1IDkYoAzzgESm6T6rk7U0VHHr7bldhhXxa6NvAC8CdtDXj4Q+DMJneNkWc/SPhIwPrP4r1+b1xerPZP6d227845VX1pmQT1312Qy+s=[/tex]且在[tex=0.571x1.286]Hz6y44ELFVLLNrLVhO3CQA==[/tex]轴和[tex=0.5x1.286]asctJDWpGaq/ETe64ANZ1Q==[/tex]轴上有相同的非零截距的平面方程。
若 [tex=5.643x1.357]L1oOYW5tn35r5TC0cY2hZA==[/tex] , 证明 [tex=15.357x1.571]GMqNyutdHlCLLt4S19KRVjnhFoFcMXCu98IxPIJIFUN45XijK4m/By0bFL0wIpJ54djOYqwy7ZR03MUdhc2/ZRYznPl+tSN0tqNccKhYgoQ=[/tex]. 特别 [tex=7.143x1.429]2ubNoKI/x6Eye6Xpotfi+0p8l2w0T42du6EjZxX0FKs=[/tex] , 或 [tex=9.0x2.357]pNFrKRjB1difm9b7bQvlHmO6ZmyQG9AqUg6/hldQwzCZOuXgRxt7DoS48Ak9l7fgIenwD+UydHk1joSmTx4keg==[/tex], 并利用此结论,计算下列各式:[tex=9.571x2.786]08wu34PJuLAPcCGdjSeuGAu0BEGi5bHN+pLJ95w+HZVfuRkS7X0HoM07xVFWF/1L[/tex], 求 [tex=1.929x1.357]vmUNP+dKsdI2ZNPnh+kvkQ==[/tex] .
若 [tex=5.643x1.357]L1oOYW5tn35r5TC0cY2hZA==[/tex] , 证明 [tex=15.357x1.571]GMqNyutdHlCLLt4S19KRVjnhFoFcMXCu98IxPIJIFUN45XijK4m/By0bFL0wIpJ54djOYqwy7ZR03MUdhc2/ZRYznPl+tSN0tqNccKhYgoQ=[/tex]. 特别 [tex=7.143x1.429]2ubNoKI/x6Eye6Xpotfi+0p8l2w0T42du6EjZxX0FKs=[/tex] , 或 [tex=9.0x2.357]pNFrKRjB1difm9b7bQvlHmO6ZmyQG9AqUg6/hldQwzCZOuXgRxt7DoS48Ak9l7fgIenwD+UydHk1joSmTx4keg==[/tex], 并利用此结论,计算下列各式:[tex=9.571x2.786]08wu34PJuLAPcCGdjSeuGAu0BEGi5bHN+pLJ95w+HZVfuRkS7X0HoM07xVFWF/1L[/tex], 求 [tex=1.929x1.357]vmUNP+dKsdI2ZNPnh+kvkQ==[/tex] .
若 [tex=5.643x1.357]L1oOYW5tn35r5TC0cY2hZA==[/tex] , 证明 [tex=15.357x1.571]GMqNyutdHlCLLt4S19KRVjnhFoFcMXCu98IxPIJIFUN45XijK4m/By0bFL0wIpJ54djOYqwy7ZR03MUdhc2/ZRYznPl+tSN0tqNccKhYgoQ=[/tex]. 特别 [tex=7.143x1.429]2ubNoKI/x6Eye6Xpotfi+0p8l2w0T42du6EjZxX0FKs=[/tex] , 或 [tex=9.0x2.357]pNFrKRjB1difm9b7bQvlHmO6ZmyQG9AqUg6/hldQwzCZOuXgRxt7DoS48Ak9l7fgIenwD+UydHk1joSmTx4keg==[/tex], 并利用此结论,计算下列各式:[tex=9.571x2.786]OVuxQeDmlToIZWeG7YyrrH9rrVR6fmtFLaNIivb4DnISIUSOmitWUiOVDDbFOKSL[/tex], 求 [tex=1.929x1.357]vmUNP+dKsdI2ZNPnh+kvkQ==[/tex].
若 [tex=5.643x1.357]L1oOYW5tn35r5TC0cY2hZA==[/tex] , 证明 [tex=15.357x1.571]GMqNyutdHlCLLt4S19KRVjnhFoFcMXCu98IxPIJIFUN45XijK4m/By0bFL0wIpJ54djOYqwy7ZR03MUdhc2/ZRYznPl+tSN0tqNccKhYgoQ=[/tex]. 特别 [tex=7.143x1.429]2ubNoKI/x6Eye6Xpotfi+0p8l2w0T42du6EjZxX0FKs=[/tex] , 或 [tex=9.0x2.357]pNFrKRjB1difm9b7bQvlHmO6ZmyQG9AqUg6/hldQwzCZOuXgRxt7DoS48Ak9l7fgIenwD+UydHk1joSmTx4keg==[/tex], 并利用此结论,计算下列各式:[tex=9.571x2.786]OVuxQeDmlToIZWeG7YyrrH9rrVR6fmtFLaNIivb4DnISIUSOmitWUiOVDDbFOKSL[/tex], 求 [tex=1.929x1.357]vmUNP+dKsdI2ZNPnh+kvkQ==[/tex].
试证明下列命题:设 [tex=5.214x1.357]1nSPUdCnAiFnd7V2+iZuND1IS5lxxZKHiokJemnW9Dk=[/tex] 且是严格递增函数,若有 [tex=5.643x1.357]0PPKIFwXqLE5qKHXWlECKiRGR9igtC6CUVcsWI3XtZg=[/tex], 则对 [tex=2.0x1.357]uQo0Qwms4Bgi6pleNWBbfw==[/tex] 中 的 Borel 集 [tex=0.786x1.0]XvHgf70VtK2FH5G93l0k3g==[/tex], 必得[tex=9.571x2.786]cm60qGu7CAKg1MeqHZfXQ0xmEx/xI+eg9h1miri9IvrtoQEhkzpffO+Ijdt5nfED[/tex].[br][/br][br][/br]
试证明下列命题:设 [tex=5.214x1.357]1nSPUdCnAiFnd7V2+iZuND1IS5lxxZKHiokJemnW9Dk=[/tex] 且是严格递增函数,若有 [tex=5.643x1.357]0PPKIFwXqLE5qKHXWlECKiRGR9igtC6CUVcsWI3XtZg=[/tex], 则对 [tex=2.0x1.357]uQo0Qwms4Bgi6pleNWBbfw==[/tex] 中 的 Borel 集 [tex=0.786x1.0]XvHgf70VtK2FH5G93l0k3g==[/tex], 必得[tex=9.571x2.786]cm60qGu7CAKg1MeqHZfXQ0xmEx/xI+eg9h1miri9IvrtoQEhkzpffO+Ijdt5nfED[/tex].[br][/br][br][/br]
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)