УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
ÖØÖÞØÓÒ<strong>×</strong>ØÓÙÑÒØØ<strong>×</strong>ÔÓÒØÓÚÛÐØÖÓÒºÏÚÐÖÝ<strong>×</strong>ÒØÚÐÓÔ¹ ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />
<strong>×</strong>ѹ<strong>×</strong>ÑÔÐØÓÒ¿ÓØÖØÒ<strong>×</strong>ÙÐÖÓÒØÄÐÖºÌÓÐØÓÖÖÝÓÙØ ÑÒØÒÒØÓÒÓØÚÐÐݹËÖÖÖÐØÓÒ<strong>×</strong>ÓÖØÒعÑÒ<strong>×</strong>ÓÒÐ<strong>×</strong>ºÌÝ ØÓØÒØÓÒÛ<strong>×</strong>ØÖÓÓØ<strong>×</strong>ÔÓÑÔÓ<strong>×</strong>ØÓÒÓØÄÐÖ<strong>×</strong>ÑÔÓ<strong>×</strong><strong>×</strong>ÐÝØ Ø<strong>×</strong>ÑÔÖÓÙÖÓÖÒÒعÑÒ<strong>×</strong>ÓÒÐÄÐÖ<strong>×</strong>¸ÛÖ<strong>×</strong>ØÒØÓÒØÐÒ ÄÐÖØØÛÐÐØÖØÒ<strong>×</strong>ÙÐÖÛÛÓÒÓÛº<br />
RÖÐÚØÓÖ<strong>×</strong>ÔÛØÒÓÒ¹ÒÖØ<strong>×</strong>ÝÑÑØÖÖÐÚÐÙÐÒÖÓÖÑ<br />
j¸ Iº<strong>×</strong>ÙØØ<br />
I¸<br />
ÄØH (., .)ÒÐÑÒØ<strong>×</strong>h , i ∈<br />
´µ(h i , h j ) ≤ 0i ØÓÔظ<strong>×</strong>ÓÐØÙ<strong>×</strong>ØÖÝØÓÓÒÚÒÓÙÖ<strong>×</strong>ÐÚ<strong>×</strong>ØØØÒ<strong>×</strong>ØÔÖÓÔÖØ<strong>×</strong>ÛÚÓÑ<br />
´µÁ(h i , h i<br />
CºÌÓÚÒØÓÒ<strong>×</strong>Ñ<strong>×</strong>ØÓÓÓ¸ÙÒÑÓØÚØÒÙÒÓÑÓÖØÐ<br />
Iº<br />
) > 0¸ØÒ2(h<br />
(h i ,h i<br />
∈ ZÓÖÐÐj )<br />
´µÁ(h i , h i ) > 0Òı S¸ØÒ(h ∈ ZÓÖÐÐj∈ (h i ,h i )<br />
ÛØØØÓÒÓØÖÕÙÖÑÒØØØÒÒÖÔÖÓÙØÒÐ<strong>×</strong><strong>×</strong>ØÒ0¸(i)<strong>×</strong><strong>×</strong>ÒØÐÐÝ<strong>×</strong> ØÓÜÔØÖØÒ<strong>×</strong>Ù¹ÐÖØÓÚÖÓÑÓÙÖ<strong>×</strong>ØÙÝÓÒعÑÒ<strong>×</strong>ÓÒÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄ ÐÖ<strong>×</strong>ÒÒÄÐÖ<strong>×</strong>ºÓÑÔÖÒ(i)ÓÚÛØØÒØÓÒ¿º¿º¿Û<strong>×</strong>ØØ<br />
ÄØH=H R ⊗<br />
ÖÓѺÀÚÒÒØÖØÒ<strong>×</strong>ÙÐÖ¸ÛÒÒÓÛÒÃÅÄ<strong>×</strong>ÙÔÖÐÖÚ ÑØÖÜÒ<strong>×</strong>ØÓÒ¿º¿ºÒÕº´¿º¿µØÓ<strong>×</strong>ÛÖØÑÓØÚØÓÒ<strong>×</strong>ÒÒÖÐÞØÓÒ<strong>×</strong>ÓÑ ÒÖÐÞØÓÒÓ¿º¿º¿ºÓÑÔÖÒ(ii)Ò(iii)ÓÚÛØØÓÒØÓÒ<strong>×</strong>ÓÒØÖØÒ<br />
R<br />
Ø<strong>×</strong>ØÓÒÓÒغÌ<strong>×</strong>ÛÐÐØÚÐÐݹËÖÖÖÐØÓÒ<strong>×</strong>ÓÖØÃÅÄ<strong>×</strong>ÙÔÖÐÖº ÖÐØÓÒ<strong>×</strong>´¿ºµÒ´¿º¿µºÏØØÓ<strong>×</strong>ÒÑÒÛÒÓÛÒØÓÐÐÓÛÒ ÓÖÐÓÓÒØØÚÐÐݹËÖÖÖÐØÓÒ<strong>×</strong>ÓÖØÃÅÄ<strong>×</strong>ÙÔÖÐÖ¸ÖÐÐØ<br />
S)<strong>×</strong><strong>×</strong>ÓØØÓØ<br />
ÖÐØÓÒ<strong>×</strong> ÖØÒÑØÖÜA¸ÛØØÐÒÄÐÖH<strong>×</strong>Ø<strong>×</strong>ÖØÒ<strong>×</strong>ÙÐÖ¸<strong>×</strong>ØÄ<strong>×</strong>ÙÔÖ¹<br />
iÛØi∈I<strong>×</strong>Ø<strong>×</strong>ÝÒØÓÐÐÓÛÒÒÒ ÒØÓÒ¿ºº¾ÓÖÖ<strong>×</strong>¹Ã¹ÅÓÓÝÄ<strong>×</strong>ÙÔÖÐÖG= (A, H,<br />
ÐÖÒÖØÝh i ∈ HÒÐÑÒØ<strong>×</strong>e , f<br />
ÚÖÝÒÚÖÒØ<strong>×</strong>Ù<strong>×</strong>ÔÓØÓÔÖØÓÖ<strong>×</strong>Ð<strong>×</strong>ÓÒÒÚÖÒØ<strong>×</strong>Ù<strong>×</strong>ÔºÒÑÔÓÖØÒØÖ<strong>×</strong>ÙÐØÓÖ<strong>×</strong>ÙÐÒÖ ÓÔÖØÓÖ<strong>×</strong>ÓÒÒعÑÒ<strong>×</strong>ÓÒÐÚØÓÖ<strong>×</strong>ÔÓÚÖÒÐÖÐÐÝÐÓ<strong>×</strong>Ð<strong>×</strong>ØØØ<strong>×</strong>ÓÒÐÞк<br />
¿ÐÒÖÓÔÖØÓÖÓÒÒعÑÒ<strong>×</strong>ÓÒÐÚØÓÖ<strong>×</strong>Ô<strong>×</strong><strong>×</strong>ØÓØ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÝØÓÑÔÐÑÒØÓ<br />
´µ[e i<br />
´µ[h, e<br />
i<br />
≠<br />
, f j ] = δ ij h i<br />
∈<br />
i ,h j )<br />
∈<br />
i ,h j )<br />
i<br />
i ] = (h, h i )e i¸[h, f j ] = −(h, h j )f j¸