.

Кільця і гратки з локально визначеними скрутами: Автореф. дис… канд. фіз.-мат. наук / І.Я. Тушницький, Київ. нац. ун-т ім. Т.Шевченка. — К., 1999. —

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EE?ANUeEEE OI?AA?NEOAO ?IAI? OA?ANA OAA*AIEA

OOOIEOeUeEEE ?ai? ss?ineaaiae/

OAeE 519.48

E?EUeOess ? A?AOEE

C EIEAEUeII AECIA*AIEIE NE?OOAIE

01.01.06 – aeaaa?a ? oai??y /enae

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Ee?a — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia o Euea?anueeiio aea?aeaaiiio oi?aa?neoao? ?iai? ?aaia
O?aiea ia eaoaae?? aeaaa?e ? oiiieia??.

Iaoeiaee ea??aiee

Aeieoi? o?ceei-iaoaiaoe/ieo iaoe

Eiia?ieoeueeee Ieeiea ss?ineaaiae/

I?ioani? eaoaae?e aeaaa?e ? oiiieia??

Euea?anueeiai aea?aeaaiiai oi?aa?neoaoo ?iai? ?aaia O?aiea

Io?oe?ei? iiiiaioe:

Aeieoi? o?ceei-iaoaiaoe/ieo iaoe

i?ioani? Ee?e/aiei Aieiaeeie? Aaneeueiae/

caa?aeoaa/ eaoaae?e aaiiao???

Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea

Aeieoi? o?ceei-iaoaiaoe/ieo iaoe

i?ioani? Eaoo Ieaen?e ?aaiiae/

i?ia?aeiee iaoeiaee ni?a?ia?oiee naeoi?o

aeaaa?e ? iaoaiaoe/ii? eia?ee ?inoeoooo

Iaoaiaoeee ? ?ioi?iaoeee Aeaaeai?? Iaoe

Iieaeiae

I?ia?aeia onoaiiaa

Oaeai?iaenueeee aea?aeaaiee oi?aa?neoao

Caoeno a?aeaoaeaoueny 20 a?oaeiy 1999 ?ieo i 1400 aiae. ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae26.001.18 Ee?anueeiai oi?aa?neoaoo ?iai?
Oa?ana Oaa/aiea ca aae?anith: 252127, i.Ee?a – 127, i?iniaeo aeaaeai?ea
Aeooeiaa, 6, Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea,
iaoai?ei-iaoaiaoe/iee oaeoeueoao.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea (aoe. Aieiaeeie?nueea, 58).

Aaoi?aoa?ao ?ic?neaii 18 eenoiiaaea 1999 ?ieo.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee ______________ A.I. Iao?aa/oe

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeueiinoue oaie. Aei ii/aoeo i’yoeaeanyoeo ?ie?a iaoiai noie?ooy
?icaeoie no?oeoo?ii? oai??? e?eaoeue ? aeaaa? i?ea?a aei iiyae aaeeei?
e?eueeino? ?aaeeeae?a e?eaoeue ? aeaaa?. Ii/aoie caaaeuei?e oai???
?aaeeeae?a e?eaoeue ? aeaaa? aoa iieeaaeaiee a 1953 ?ioe? A.A.Eo?ioai.
Iaeiei c aeoaea aaaeeeaeo ?icae?e?a caaaeueii? oai??? ?aaeeeae?a ?
oai??y ne?oo?a. A?eueo?noue a?aeiieo ?aaeeeae?a ? ?aaeeeae?a, ui
iaea?eueo /anoi canoiniaothoueny a no?oeoo?i?e oai??? ? ne?ooaie.
Ii/aoee oai??? ?aaeeeae?a ? ne?oo?a a eaoaai??yo iiaeoe?a aoee
caeeaaeai? I.Aaa??aeai (1962). ?? iniiai? ?aea? ciaeoee iiaeaeueoee
?icaeoie a ?iaioao Ae?eniia (1966), Ia?aiaee (1964), Aeaeaina (1965),
TH.I.?yaoo?ia (1964), Aieaeiaia (1969), Ii??oe (1970-1972) ? aaaaoueio
?ioeo aeaaa?a?no?a.

A.A?aiaeae ? A.Aa?ao (1983) aeine?aeaeoaaee, eiee ne?ooe iaeiicia/ii
aecia/athoueny nai?ie eieae?caoe?yie a?aeiinii iaeneiaeueieo ?aeaae?a a
eaoaai??? iiaeoe?a. Aiie iieacaee, ui ne?ooe iaeiicia/ii aecia/athoueny
nai?ie eieae?caoe?yie a?aeiinii iaeneiaeueieo ?aeaae?a a eaoaai???
R-iiaeoe?a, oiae?, eiee e?eueoea R ? h-eieaeueiith iaeanoth ? iinoaaeee
caaea/o i?i ciaoiaeaeaiiy e?eoa??th e?eaoeue c eieaeueii aecia/aieie
ne?ooaie. A aeai?e aeena?oaoe?? oey caaea/a ?ica’ycaia, oiaoi ciaeaeaii
iaiao?aei? ? aeinoaoi? oiiae oiai, uia ne?ooe iaeiicia/ii aecia/aeenue
nai?ie eieae?caoe?yie a?aeiinii iaeneiaeueieo ?aeaae?a. Oaeiae ciaeaeaii
iaiao?aei? ? aeinoaoi? oiiae oiai, uia iaia?aaene?ooe iaeiicia/ii
aecia/aeenue nai?ie eieae?caoe?yie a?aeiinii iaeneiaeueieo ?aeaae?a.
I?e/iio eean e?eaoeue, iaae yeeie ?icaeyaeathoueny iiaeoe? cia/ii oe?oee
ca eean eiiooaoeaieo iaeanoae oe?e?niino?, yeee ?icaeyaeaee A.A?aiaeae
? A.Aa?ao, ? aeeth/a? aeoi-e?eueoey, ye? caaeia?eueiythoue aeayeo
aeiaeaoeiao oiiao.

Iiiyooy ?aaeeeaeueiiai o?eueo?o, yea nii/aoeo aoei aaaaeaia aeey
e?eaoeue, ia?aianaii AE.AEai?aeaneo (1985) ia iaiaaeai? aeeno?eaooeai?
a?aoee ? oai aiii io?eiaei iacao oiiieia?? a?aoee. Aeey a?aoie aoei
oaeiae aaaaeaii iiiyooy a?aoee ae?ia?a. Aiii aoei aaaaeaii A.A?acoeaaio
? ?.Ae?aeiianeo a 1969 ?ioe?. Aeei?enoiaoth/e oe? iiiyooy, a
aeena?oaoe?? ciaeaeaii iaiao?aei? ? aeinoaoi? oiiae, yeei iiieiia
caaeia?eueiyoe a?aoea uia oiiieia?? a i?e iaeiicia/ii aecia/aeenue
nai?ie eieae?caoe?yie a?aeiinii iaeneiaeueieo ?aeaae?a a?aoee.

Aeneiaeai? aeua i??eoaaiiy aiai?youe i?i aeooaeuei?noue oaie
aeena?oaoe??.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Oaiaoeea
aeena?oaoei? ciaoiaeeoueny a ?one? iniiaieo aeineiaeaeaiue eaoaae?e
aeaaa?e i oiiieiai? Eueaianueeiai aea?aeaaiiai oiiaa?neoaoo.

Iaoa i caaea/i aeineiaeaeaiiy. Iaoith aeena?oaoe?? ?:

– anoaiiaeaiiy e?eoa??th e?eaoeue, a yeeo ne?ooe ? iaia?aaene?ooe
iaeiicia/ii aecia/athoueny nai?ie eieae?caoe?yie a?aeiinii an?o
iaeneiaeueieo ?aeaae?a e?eueoey;

– anoaiiaeaiiy e?eoa??th e?eaoeue, a yeeo ?aeaaee iaeiicia/ii
aecia/athoueny nai?ie eieae?caoe?yie a?aeiinii an?o iaeneiaeueieo
?aeaae?a e?eueoey;

– anoaiiaeaiiy no?oeoo?e ?aaoey?ieo ca Iaeiaiii aeoi-e?eaoeue ?c
ne?i/aiiith e?euee?noth iaeneiaeueieo ?aeaae?a;

anoaiiaeaiiy e?eoa??th iaiaaeaieo aeeno?eaooeaieo a?aoie, a yeeo
oiiieia?? ? iaia?aaeoiiieia?? iaeiicia/ii aecia/athoueny nai?ie
eieae?caoe?yie a?aeiinii an?o iaeneiaeueieo ?aeaae?a a?aoee.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoaoia. On? iaea?aeai? iaoeia?
?acoeueoaoe ? iiaeie. A aeena?oaoe??

– iieacaii, ui e?eueoea ? e?eueoeai c eieaeueii aecia/aieie ne?ooaie
oiae? ? o?eueee oiae?, eiee aiii h-eaac?eieaeueia;

– iieacaii, ui e?eueoea ? e?eueoeai c eieaeueii aecia/aieie
iaia?aaene?ooaie oiae? ? o?eueee oiae?, eiee aiii h-eieaeueia;

– ciaeaeaii oiiae, yeei iiaeiii caaeia?eueiyoe e?eueoea, uia aiii aoei
e?eueoeai c eieaeueii aecia/aieie ?aeaaeaie;

– aeey iaiaaeaieo aeeno?eaooeaieo a?aoie aeiaaaeaii, ui a?aoea ?
a?aoeith c eieaeueii aecia/aieie ne?ooaie, yeui aiia h-eaac?eieaeueia;

– aeiaaaeaii ?io? aaaeeea? ?acoeueoaoe.

Oe? ?acoeueoaoe ? iiaeaeueoei ?icaeoeii aeine?aeaeaiue oaeeo aaoi??a, ye
A.A?aiaeaea, A.Aa?ao, AE.AEai?aeaneo, A.A?acoeaaio oa ?ioeo.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoaoia. ?acoeueoaoe aeena?oaoe??
iathoue oai?aoe/ia cia/aiiy. Aiie iiaeooue aooe aeei?enoai? a oai???
e?eaoeue ? iiaeoe?a, cie?aia i?e aea/aii? ne?oo?a a eaoaai??? iiaeoe?a.

Iniaenoee aianie caeiaoaa/a. An? iaoeia? ?acoeueoaoe, aeeth/ai? a
aeena?oaoe?th, iaea?aeaii caeiaoaa/ai iniaenoi.

Ai?iaaoeiy ?acoeueoaoia aeena?oaoei?. ?acoeueoaoe aeena?oaoe??
aeiiia?aeaeenue ia i?aeia?iaeieo eiioa?aioe?yo c aeaaa?e, i?enay/aieo
iai’yo? A.?.Iaeueoeaaa (1989), A.?.Oe?oiaa (1991), I.*aaioa?ueiaa
(1994), ia nai?ia?? “Aeaaa?a ? eia?ea” ?inoeoooo Iaoaiaoeee Nea??nueeiai
a?aeae?eaiiy Aeaaeai?? Iaoe N?N? (1990), ia caaaeueiii?nueeeo
aeaaa?a?/ieo nai?ia?ao i.Eueaiaa (1994–1999), nai?ia?ao eaoaae?e aeaaa?e
? oiiieia?? Euea?anueeiai aea?aeaaiiai oi?aa?neoaoo (1990–1999), ia
aeaaa?a?/iiio nai?ia?? Ee?anueeiai aea?aeaaiiai oi?aa?neoaoo ?i.
O.Oaa/aiea (1999), ia ae?oa?e i?aeia?iaei?e aeaaa?a?/i?e eiioa?aioe?? a
Oe?a?i? (Ee?a-A?iieoey) (1999).

Ioaeieaoei?. Iniiai? ?acoeueoaoe aeena?oaoe?? iioae?eiaai? a aeaa’yoe
?iaioao, c yeeo /ioe?e iaae?oeiaai? o aeaeaiiyo c ia?ae?eo N1,
caoaa?aeaeaiiai AAE Oe?a?ie. An? ?acoeueoaoe iioae?eiaai? aac
ni?aaaoi?noaa.

No?oeoo?a i ia’?i ?iaioe.

Aeena?oaoe?y neeaaea?oueny ?c anooio, o?ueio ?icae?e?a, aeniiae?a,
nieneo aeei?enoaieo aeaea?ae ? aeaio aeiaeaoe?a. Ia?o? aeaa ?icae?ee
i?noyoue ii aeaa ia?aa?aoe. Ianya aeena?oaoe?? — 145 noi??iie. Ianya
aeiaeaoe?a — 22 noi??iee. Nienie aeei?enoaieo aeaea?ae aeeth/a? 65
iaeiaioaaiue.

Aaoi? ae?aaea? ue?o iiaeyeo iaoeiaiio ea??aieeia? – aeieoi?o o?c.-iao.
iaoe, i?ioani?o I.ss.Eiia?ieoeueeiio ca ea??aieoeoai ? ii?aaee i?e
aeeiiaii? aeaii? aeena?oaoe?eii? ?iaioe.

INIIAIEE CIINO

Aeena?oaoe?eia ?iaioa i?enay/aia a iniiaiiio aeine?aeaeaiith e?eaoeue ?
a?aoie c eieaeueii aecia/aieie ne?ooaie.

O anooi? iaa?oioiaaia aeooaeuei?noue aeena?oaoe?eiiai aeine?aeaeaiiy
aaoi?a, aecia/aia iaoa ? ia’?eoe aeine?aeaeaiiy.

A ia?aa?ao? 1 ?icae?eo 1 aeiaiaeeoueny, ui aeoi-e?eueoea, yea
caaeia?eueiy? aeayeo aeiaeaoeiao oiiao ? e?eueoeai c eieaeueii
aecia/aieie ne?ooaie oiae? ? o?eueee oiae?, eiee aiii h-eaac?eieaeueia.
Oaeiae iieacaii, ui e?eueoea ? e?eueoeai c eieaeueii aecia/aieie
iaia?aaene?ooaie oiae? ? o?eueee oiae?, eiee aiii ? h-eieaeueiei.

Ia?aeaeaii aei aeaoaeuei?oiai aeeeaaeo aeaieo ?acoeueoao?a. N?i’th an?o
iaeneiaeueieo ?aeaae?a e?eueoey R iicia/aoeiaii /a?ac mspec(R). A
ia?aa?ao? 1 aoaeaii ?icaeyaeaoe o?eueee o? aeoi-e?eueoey R c
1picscalex10001000900000389000000020012000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02600140011200000026060f001a00ffffffff0000100
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50000300010000000fb02c0fe0000000000009001000000020002001053796d626f6c000
2040000002d01000009000000320a00013c0001000000b900af000a00000026060f000a0
0ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222537
97374656d00cc040000002d01010004000000f0010000030000000000e40100000000020
066375300000000008f18730000000301a443090005000200522b1400000002006b32740
000000000693d550000000200ec217500000002005527b60000000200463d58000000000
00000000000000000000000000000020092147a000000020012075c00000000000000000
00000000000000, ui caaeia?eueiythoue oiiao:
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mspec(R)picscalex1000100090000038900000002001200000000000500000009020000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2001053796d626f6c0002040000002d01000009000000320ae000320001000000ce00e30
00a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc0
2000000cc0102022253797374656d00cc040000002d01010004000000f00100000300000
0000000000021000000000000000000000000000000000000000064004f1500000000000
000000000000000000000000000006c2c2c2b7400dc2cdf27b425df27d425df27af14010
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fffffffff000000000000000000000000
Rpicscalex10001000900000389000000020012000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02800160011200000026060f001a00ffffffff0000100
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50000200010000000fb02c0fe0000000000009001000000020002001053796d626f6c000
2040000002d01000009000000320a40013700010000002200e3000a00000026060f000a0
0ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222537
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fffff00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff000
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0000000000000dpicscalex1000100090000038900000002001200000000000500000009
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0201000000050000000b0200000000050000000c02200120011200000026060f001a00ff
ffffff000010000000c0ffffff10000000e0000000300100000b00000026060f000c004d
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cc0102022253797374656d00cc040000002d01010004000000f001000003000000000000
0000ffffffffffffffffffffff00ffffffffffffffffffffffffffffffffffffffffffff
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ff000000000000000000000000RM
picscalex100010009000003890000000200120000000000050000000902000000000400
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00000b0200000000050000000c02800120011200000026060f001a00ffffffff00001000
0000c0ffffffb0ffffffe0000000300100000b00000026060f000c004d61746854797065
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040000002d01000009000000320a40013800010000002400af000a00000026060f000a00
ffffffff01000000000010000000fb021000070000000000bc02000000cc010202225379
7374656d00cc040000002d01010004000000f0010000030000000000000000ffffffffff
ffffffffffff00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffff00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0000
020100ffffff00ffffff00ffffffffffffffffffffffffffffffffffffff000000000000
000000000000cpicscalex10001000900000389000000020012000000000005000000090
2000000000400000002010100050000000102ffffff00040000002e01180005000000310
201000000050000000b0200000000050000000c02200120011200000026060f001a00fff
fffff000010000000c0ffffff10000000e0000000300100000b00000026060f000c004d6
17468547970650000200010000000fb02c0fe00000000000090010000000200020010537
96d626f6c0002040000002d01000009000000320ae000320001000000ce00e3000a00000
026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000c
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000ffffffffffffffffffffff00fffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffff00fffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffff0000020100ffffff00ffffff00fffffffffffffffffffffffffffffffffffff
f000000000000000000000000R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’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: rd’=drc.
(picscalex10001000900000389000000020012000000000005000000090200000000040
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000000b0200000000050000000c02200100011200000026060f001a00ffffffff0000100
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97374656d00cc040000002d01010004000000f0010000030000000000100200fffffffff
fffffffffffff00fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffff00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff000
00000000000000000000000ffffffffffffffffffffffffffffffffffffff00000000000
0000000000000)

Ianooiia eaia iieaco?, ui oiiaa
(picscalex10001000900000385000000020010000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02400120010e00000026060f001200ffffffff0000080
00000c0ff0c00e0004c010b00000026060f000c004d61746854797065000010001000000
0fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01000
009000000320a20012800010000002a00c0000a00000026060f000a00ffffffff0100000
0000010000000fb021000080000000000bc02000000000102022253797374656d0006040
000002d01010004000000f00100000300000000000000000000000000000000000000000
000000000000000004f000000000000000000) iiaea aooe caienaia a aeaui
?ioiio aeaeyae?.

Eaia 1. Aeoi-e?eueoea R caaeia?eueiy? oiiao
(picscalex10001000900000385000000020010000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02400120010e00000026060f001200ffffffff0000080
00000c0ff0c00e0004c010b00000026060f000c004d61746854797065000010001000000
0fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01000
009000000320a20012800010000002a00c0000a00000026060f000a00ffffffff0100000
0000010000000fb021000080000000000bc02000000000102022253797374656d0006040
000002d01010004000000f00100000300000000000000000000000000000000000000000
000000000000000004f000000650000000000) oiae? ? o?eueee oiae?, eiee aiii
caaeia?eueiy? oiiao:
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(R)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 – ?aeaae e?eueoey R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picscalex100010009000003850000000200100000000000050000000902000000000400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picscalex100010009000003850000000200100000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00140010e00000026060f001200ffffffff00000800
0000c0ffccff00016c010b00000026060f000c004d617468547970650000200010000000
fb0280fe0000000000009001000000020002001053796d626f6c0037040000002d010000
09000000320a60013700010000002400d3000a00000026060f000a00ffffffff01000000
000010000000fb021000080000000000bc02000000000102022253797374656d00060400
00002d01010004000000f0010000030000000000020000000423af1440309f2916006700
6a0000005901000000000000650000000000i’picscalex1000100090000038500000002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picscalex100010009000003850000000200100000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00140010e00000026060f001200ffffffff00000800
0000c0ffccff00016c010b00000026060f000c004d617468547970650000200010000000
fb0280fe0000000000009001000000020002001053796d626f6c0037040000002d010000
09000000320a60013700010000002400d3000a00000026060f000a00ffffffff01000000
000010000000fb021000080000000000bc02000000000102022253797374656d00060400
00002d01010004000000f0010000030000000000b6870000dddddddddddddddddddddddd
dddddddddddd00004f000000650000000000d’picscalex1000100090000038500000002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: id’=di’ .

Oaeei /eiii, oiiaa
(picscalex10001000900000385000000020010000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02400120010e00000026060f001200ffffffff0000080
00000c0ff0c00e0004c010b00000026060f000c004d61746854797065000010001000000
0fb0280fe0000000000009001000000020002001053796d626f6c0037040000002d01000
009000000320a20012800010000002a00c0000a00000026060f000a00ffffffff0100000
0000010000000fb021000080000000000bc02000000000102022253797374656d0006040
000002d01010004000000f0010000030000000000fffffffffffffffffffffffffffffff
fffffffffffff000000000000650000000000) aea?aaeaioia oiia? I?a aeey
eiaeiiai ?aeaaeo I e?eueoey
R.picscalex1000100090000035000000000000e00000000000500000009020000000004
00000002010100050000000102ffffff00040000002e0118000500000031020100000005
0000000b0200000000050000000c02200220010e00000026060f001200ffffffff000008
000000c0ffacffe000cc010b00000026060f000c004d61746854797065000050000a0000
0026060f000a00ffffffff0100000000000300000000006d626f6c0000040000002d0100
0009000000320a600135000100000022001001000000000000000000000000

Aeey aeoi-e?eaoeue, ye? caaeia?eueiythoue oiiao
(picscalex10001000900000389000000020012000000000005000000090200000000040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) ?nio? e?eueoea ae?ia?a a?aeiinii ioeueoeie?eaoeaii
caieiaii? iiiaeeie RM aeey aoaeue-yeiai iaeneiaeueiiai ?aeaaeo M
e?eueoey R. Oea e?eueoea ae?ia?a iicia/aoeiaii (RM,fM), aai ei?ioei RM,
? iaceaaoeiaii eieae?caoe??th e?eueoey R a?aeiinii iaeneiaeueiiai
?aeaaeo M.

sseui I – ?aeaae e?eueoey R, oi /a?ac IM iicia/aoeiaii iiiaeeio

fM(i)fM(d)-1 /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,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. Caoaaaeeii, ui aeey aeoi-e?eueoey R, ui caaeia?eueiy?
oiiao
(picscalex10001000900000389000000020012000000000005000000090200000000040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), iiiaeeia IM ? ?aeaaeii a e?eueoe? RM.

sseui F – ?aaeeeaeueiee (iaia?aae?aaeeeaeueiee) o?eueo? e?eueoey R, oi
aecia/eii eieae?caoe?th FM ?aaeeeaeueiiai (iaia?aae?aaeeeaeueiiai)
o?eueo?o F a?aeiinii iaeneiaeueiiai ?aeaaeo M ianooiiei /eiii:

FM=IM /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.

Aeieea? ieoaiiy: /e aoaea n?i’y FM ?aaeeeaeueiei (iaia?aae?aaeeeaeueiei)
o?eueo?ii e?eueoey RM. A?aeiia?aeue ia oea ieoaiiy aea? ianooiia eaia.

Eaia 2. Iaoae R – aeoi-e?eueoea ? M – aeia?eueiee iaeneiaeueiee ?aeaae
e?eueoey R. Oiae? a e?eueoe? R ianooii? oiiae aea?aaeaioi?:

1) C oiai, ui F ? ?aaeeeaeueiei (iaia?aae?aaeeeaeueiei) o?eueo?ii
e?eueoey R aeieeaa?, ui FM ? ?aaeeeaeueiei (iaia?aae?aaeeeaeueiei)
o?eueo?ii e?eueoey RM.

2) E?eueoea R caaeia?eueiy? oiiao
(picscalex10001000900000389000000020012000000000005000000090200000000040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).

Oaeei /eiii iaiaaeaiiy
(picscalex10001000900000389000000020012000000000005000000090200000000040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) ia e?eueoea R ? oe?eeii i?e?iaei?i ? eiai ia iiaeia
iineaaeoe. I?e/iio caoaaaeeii, ui oiiaa
(picscalex10001000900000389000000020012000000000005000000090200000000040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) ia ? iane?aeeii oiai, ui R ? aeoi-e?eueoeai.

N?i’th an?o iaioeueiaeo ?aeaae?a e?eueoey R ? ?o anaiiaeeeaeo iiia?ieo
aeiaooe?a iicia/aoeiaii /a?ac R0(R). ?aaeeeaeueiee
(iaia?aae?aaeeeaeueiee) o?eueo? F e?eueoey R iacaaii iaioeueiaei, yeui
aeeiio?oueny aeeth/aiiy: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(R).

Iicia/eii /a?ac G0(R) n?i’th an?o iaioeueiaeo ?aaeeeaeueieo o?eueo??a
e?eueoey R, a /a?ac G0′(R) n?i’th an?o iaioeueiaeo iaia?aae?aaeeeaeueieo
o?eueo??a e?eueoey R.

?icaeyiaii a?aeia?aaeaiiy
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 :
G0(R)picscalex1000100090000038900000002001200000000000500000009020000000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