={ij} , . =α gh=β.
≤ kh, gh≥kh => =α≤kh≤gh=β.
(α ¹β), α <β.
α <β, S*, S*B , , α≥ α, α≤β, .
' α α? ³ .
α=α α ¹ b.
α¹b , S*, S*B, , γ=α=α, . α≤γ≤β.
. ҳ Sia, Sjb, S*, S*B ( Pia>0, Pjb>0) S*, S*B.
( 㳿). 㳿, γ .
. J, JB - i, j, , P*ia>0, P*jb>0, Sia, Sjb - 㳿, γ - , S* S*B, γi - 㳿 S* Sjb. , γ i≥ γ ( 㳿 Sjb ).
, , , γi=γ, 㳿 Sjb S*. 㳿 Sb. , Sb , , , S* . . .
1. S* S*B - {ij}, {ij+c}.
. () (α=β), (α ¹ β), - .
ò.
Ͳ ϲ
={ij} , pq= α = β. α ¹ β, . SA={P1a,P2a,,Pma}; SB={P1b,P2b,,Pnb}. m n , .
. ={ij} kj ≥ rj (k=1,2, ,m; j=1,2,,n), k¹r kj>rj, k- r- .
il≤ ih (i=1,2,,m) il<ih, , l- h - . S, Sra, B - Slb, Shb.
, . .
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3.
S1b | S2b | S3b | S4b | 2- 4- | S1b | S2b | S3b | 3- 1- | ||
S1a | S1a | |||||||||
S1a | S2a | |||||||||
S1a | S3a |
S1b | S2b | S3b | 2- 3- | S1b | S2b | - 3´4 2´2 | ||
S2a | S2a | |||||||
S3a | S3a | |||||||
S1a,,Sma,S1b,,Snb .
4. . S1b S2b ½ ( S3b S4b).
䳺 S3b S4b.
S1b | S2b | S3b | S4b | Þ | S1b | S2b | S1a S2a | S1b | S2b | |||
S1a | S1a | 3,5 | S1a | 3,5 | ||||||||
S1a | -7 | S2a | -3,5 | S2a | -3,5 | |||||||
S1a | -7 | -1 | -1 | S3a | -1 |
11=3,5 - . (S1a, S1b).
. - (m´n)
1) , ' ;
2) α¹β, , 㳿, ;
3) . , m´n.