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标题: 什麽是形式集合Formal Sets/PowerFormalSet? [打印本页]

作者: lilianjie    时间: 2011-12-30 12:18
标题: 什麽是形式集合Formal Sets/PowerFormalSet?
哪位能给理解下:
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! N$ c# [/ ^0 _Formal Sets0 a: d0 i9 t2 K; Z& p' }7 ^. m8 Z
A formal set consists of the subset of elements of some carrier set (structure) on which a certain predicate assumes the value `true'. $ t" b  W* t- O- ]

+ m9 A# f1 ~) A6 q+ g  U, y! bThe only set-theoretic operations that can be performed on formal sets are union, intersection, difference and symmetric difference, and element membership testing. 1 M0 p: J8 `. X5 o; k9 P
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/ a+ Z, }5 L! C8 ]# oS := { 1 .. 5};
! ^. v, N, \3 `/ H; ~> P := PowerSet(S);) \5 H% ~! Q% ^5 a* K& r
P;
& k; U, S. S# Z' J: H) p5 Z; O" m4 iPFS:=PowerFormalSet(S);
1 u; [2 |" G( k- y, y, x' W$ dPFS;
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F := { 2, 4 };
( u+ H* l' X# qFF := { 2/3, 4 };
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F in P;$ T8 C1 O0 `  t; O1 S
FF in P;! F9 c( b7 W( m
F in PFS;0 V9 h; z7 ^  K6 F1 {! E
FF in PFS;
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Set of subsets of { 1 .. 5 }9 A) ~0 P0 C  S0 z
Set of formal subsets of { 1 .. 5 }8 [  A! c( J; a0 k/ v: [- g
true8 X0 {9 g5 e1 h# ^" x8 m& T' N0 ]1 [
false+ x8 f. A6 O/ h# n& C" B1 T  G

( V5 w5 P4 H, e% d9 ^/ B5 ?>>  F in PFS;
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Runtime error in 'in': Bad argument types
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- j+ i' U: @& g) e/ P/ `9 s& {1 G! x>> FF in PFS;
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Runtime error in 'in': Bad argument types





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