若[tex=5.571x1.357]YR7+HQbYplWPiPQNFb8H2Q==[/tex],证明(象函数的微分性质)[tex=16.214x1.571]iW8wv+vl9rfHAYkAhboLiCEyUXldAacdqZ7yUoQGPOTUTrR5IKZ86V6W2DwPld+UmrD4Rpe8gdRSnPG8m4YbJ7nbREbvMTkXdFQnqebTjlo=[/tex]特别,[tex=18.0x2.0]z5mX/X5Z8WT6Wr1RJ7fLLdWxG5Mx4NuGOwQhmg7OPiwBX8POeO+k9Ri33+4xgeoBZDz7vYFgaR0OVKi+wquCZdH+HB2NpzXvgx+veTuoYQ7zXI9CBHIQKstlRJ43RJ1J[/tex]并利用此结论,计算下列各式:[tex=13.286x2.429]gq9n4ka4dxW3hGWtS+EADjgPw1imFqxJ+Y7wZ1rddhv7xzNuAPZxfqUkxDonqsggU88lNi/yTEDWkgExkN/j8A==[/tex]
若[tex=5.571x1.357]YR7+HQbYplWPiPQNFb8H2Q==[/tex],证明(象函数的微分性质)[tex=16.214x1.571]iW8wv+vl9rfHAYkAhboLiCEyUXldAacdqZ7yUoQGPOTUTrR5IKZ86V6W2DwPld+UmrD4Rpe8gdRSnPG8m4YbJ7nbREbvMTkXdFQnqebTjlo=[/tex]特别,[tex=18.0x2.0]z5mX/X5Z8WT6Wr1RJ7fLLdWxG5Mx4NuGOwQhmg7OPiwBX8POeO+k9Ri33+4xgeoBZDz7vYFgaR0OVKi+wquCZdH+HB2NpzXvgx+veTuoYQ7zXI9CBHIQKstlRJ43RJ1J[/tex]并利用此结论,计算下列各式:[tex=13.286x2.429]gq9n4ka4dxW3hGWtS+EADjgPw1imFqxJ+Y7wZ1rddhv7xzNuAPZxfqUkxDonqsggU88lNi/yTEDWkgExkN/j8A==[/tex]
若[tex=5.571x1.357]YR7+HQbYplWPiPQNFb8H2Q==[/tex],证明(象函数的微分性质)[tex=16.214x1.571]iW8wv+vl9rfHAYkAhboLiCEyUXldAacdqZ7yUoQGPOTUTrR5IKZ86V6W2DwPld+UmrD4Rpe8gdRSnPG8m4YbJ7nbREbvMTkXdFQnqebTjlo=[/tex]特别,[tex=18.0x2.0]z5mX/X5Z8WT6Wr1RJ7fLLdWxG5Mx4NuGOwQhmg7OPiwBX8POeO+k9Ri33+4xgeoBZDz7vYFgaR0OVKi+wquCZdH+HB2NpzXvgx+veTuoYQ7zXI9CBHIQKstlRJ43RJ1J[/tex]并利用此结论,计算下列各式:[tex=13.286x2.429]gq9n4ka4dxW3hGWtS+EADjgPw1imFqxJ+Y7wZ1rddhv7xzNuAPZxfqUkxDonqsggU88lNi/yTEDWkgExkN/j8A==[/tex]
若[tex=5.571x1.357]YR7+HQbYplWPiPQNFb8H2Q==[/tex],证明(象函数的微分性质)[tex=16.214x1.571]iW8wv+vl9rfHAYkAhboLiCEyUXldAacdqZ7yUoQGPOTUTrR5IKZ86V6W2DwPld+UmrD4Rpe8gdRSnPG8m4YbJ7nbREbvMTkXdFQnqebTjlo=[/tex]特别,[tex=18.0x2.0]z5mX/X5Z8WT6Wr1RJ7fLLdWxG5Mx4NuGOwQhmg7OPiwBX8POeO+k9Ri33+4xgeoBZDz7vYFgaR0OVKi+wquCZdH+HB2NpzXvgx+veTuoYQ7zXI9CBHIQKstlRJ43RJ1J[/tex]并利用此结论,计算下列各式:[tex=13.286x2.429]gq9n4ka4dxW3hGWtS+EADjgPw1imFqxJ+Y7wZ1rddhv7xzNuAPZxfqUkxDonqsggU88lNi/yTEDWkgExkN/j8A==[/tex]
设函数 [tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]具有连续二阶导数且[tex=3.357x1.357]vOF50Gc7nAC84DLuJH/HwA==[/tex]试证: 由 [tex=13.286x2.429]0ARPOkrxkcFsXS7q9x4qXha1943Jx3Oj/koO22M9JHgqz7JIj+dSQSbVGPQ+ya/MVMxvODFlBXfJiWQ+QfIUzg==[/tex]所定义的函数 [tex=0.5x1.0]wPh71/L+tm8emC/JD+8oZg==[/tex] 有一阶连续导数.
设函数 [tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]具有连续二阶导数且[tex=3.357x1.357]vOF50Gc7nAC84DLuJH/HwA==[/tex]试证: 由 [tex=13.286x2.429]0ARPOkrxkcFsXS7q9x4qXha1943Jx3Oj/koO22M9JHgqz7JIj+dSQSbVGPQ+ya/MVMxvODFlBXfJiWQ+QfIUzg==[/tex]所定义的函数 [tex=0.5x1.0]wPh71/L+tm8emC/JD+8oZg==[/tex] 有一阶连续导数.
随机过程[tex=1.786x1.357]nCpxCgTkjC9rGSaI3mSRRw==[/tex]满足微分方程[tex=13.286x2.429]gpI3c3OOHVLF4W8gZAEjX4erYLz6RegyDZG+Q+1IbAF+t858JahlspEg6GyX6Sza1T/0IfcXxpjUbkaOu7B2c6ABMH8xNCrMaheiXGQLNTg=[/tex]其中[tex=2.0x1.357]Zrawgl43xhB6YCPPwvMZ8Q==[/tex]为平稳过程,并且已知[tex=12.857x1.571]/N/jevToAAOqnFxSiZtYbLmxGPJepZrg82MGHBOCtNULt8ZN+tUBkt0URbqY/Mvp+qSUv4pRJDH0PwSIIKggTqaU3GJRdKPAEPme91NGSbw=[/tex]求[tex=7.286x1.357]aVg0DrVlkq6LPoIA8Xeahjsz3f/SQiIKsog7GcxGBzI=[/tex]和[tex=3.286x1.357]GziWf0+Mqpxptfe3HVdRYA==[/tex],其中[tex=5.0x1.214]P5wZVTOVGUu3clRNuQtSLw==[/tex]
随机过程[tex=1.786x1.357]nCpxCgTkjC9rGSaI3mSRRw==[/tex]满足微分方程[tex=13.286x2.429]gpI3c3OOHVLF4W8gZAEjX4erYLz6RegyDZG+Q+1IbAF+t858JahlspEg6GyX6Sza1T/0IfcXxpjUbkaOu7B2c6ABMH8xNCrMaheiXGQLNTg=[/tex]其中[tex=2.0x1.357]Zrawgl43xhB6YCPPwvMZ8Q==[/tex]为平稳过程,并且已知[tex=12.857x1.571]/N/jevToAAOqnFxSiZtYbLmxGPJepZrg82MGHBOCtNULt8ZN+tUBkt0URbqY/Mvp+qSUv4pRJDH0PwSIIKggTqaU3GJRdKPAEPme91NGSbw=[/tex]求[tex=7.286x1.357]aVg0DrVlkq6LPoIA8Xeahjsz3f/SQiIKsog7GcxGBzI=[/tex]和[tex=3.286x1.357]GziWf0+Mqpxptfe3HVdRYA==[/tex],其中[tex=5.0x1.214]P5wZVTOVGUu3clRNuQtSLw==[/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( $x)B(x)
判断下列推证是否正确。 (∀x)(A(x)→B(x))⇔(∀x)(¬A(x)∨B(x)) ⇔(∀x)¬( A(x)∧¬B(x) ) ⇔¬(∃x) ( A(x)∧¬B(x) ) ⇔¬( (∃x)A(x)∧(∃x)¬B(x) ) ⇔¬(∃x)A(x)∨¬(∃x)¬B(x) ⇔¬(∃x)A(x)∨(∀x)B(x) ⇔(∃x)A(x)→(∀x)B(x)
判断下列推证是否正确。 (∀x)(A(x)→B(x))⇔(∀x)(¬A(x)∨B(x)) ⇔(∀x)¬( A(x)∧¬B(x) ) ⇔¬(∃x) ( A(x)∧¬B(x) ) ⇔¬( (∃x)A(x)∧(∃x)¬B(x) ) ⇔¬(∃x)A(x)∨¬(∃x)¬B(x) ⇔¬(∃x)A(x)∨(∀x)B(x) ⇔(∃x)A(x)→(∀x)B(x)
以下谓词公式中,( )不是逻辑有效式。 A: ($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)∧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)