《系统科学导论-2》_讲稿_.pdf

, , , 2009, 9 : 1 f (t) ↔F (ω) f (t) ↔F (ω) 1 1 2 2 a f (t) +a f (t) ↔a F (ω) +a F (ω) 1 1 1 2 2 1 1 2 2 2 f (t) ↔F (ω) F (t) ↔2πf (−ω) 2 3 f (t) ↔F (ω) 1 ω f (at) ↔ F ( ) 3 a a 4 f (t) ↔F (ω) f (t +a) ↔eiaωF (ω) 4 5 f (t) ↔F (ω) F (ω+ω ) ↔e−iωt ⋅f (t) 5 0 6 f (t) ↔F (ω) ′ ′ f (t) ↔iωF (ω) F (ω) ↔−itf (t) 6 7 f (t) ↔F (ω) t 1 ∫−∞f (s)ds ↔ F (ω) 7 iω r 0 dn 2 D n r n 8 ⋅∇ + ⋅ dt iωN (ω, k ) D ⋅k 2 ⋅N (ω, k ) +r ⋅N (ω, k ) 9 12 , , , 2009, 9 k - iω D ⋅k 2 +r 10 1n(t, x , y ) ~ 2~ ωk 10 D , r 3D , r 4r 8r n(t, x) 5 ~ 6 ~