IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?INOEOOO AAIO?CEEE ?i. N. ?. NOAAIO?IA

Ia i?aaao ?oeiieno

AeAIENTHE ?INOENEAA IAAEIAE*

OAeE 550.831

AONOEIIA IIAeAETHAAIIss ??CIEO OEI?A AAIEIA?*IEO NO?OEOO? IA INIIA?
NOAI?AII? NENOAIE ?ICA’ssCEO IAA?IAIEO CAAeA* A?AA?IAO???

Niaoe?aeuei?noue 04.00.22 — Aaio?ceea

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a

aaieia?/ieo iaoe

Ee?a — 1999 ?.

?iaioa aeeiiaia a ?aaii-O?aie?anueeiio aea?aeaaiiio oaoi?/iiio
oi?aa?neoao? iaooe ? aaco I?i?noa?noaa ina?oe Oe?a?ie

Iaoeiaee eiinoeueoaio — aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?
Eia?oiia I. ?., ?iaeono??aeueiee ?inoeooo, i. Oooa

Io?oe?ei? iiiiaioe:

1. E?anianueeee N.N. — ae. a.-i. i., i?ioani?, caa. a?aeae?eii
eiiieaenii? ?ioa?i?aoaoe?? iie?a ?AO IAI Oe?a?ie, i. Ee?a.

2. No?aoia A. I. — aeaaeai?e ?AI, ae. o.-i. i., i?ioani?, aee?aeoi? I?OC
?AI, i. Iineaa.

3. Ea?aoa?a A. ?. — ae. a.-i. i., i?ioani?, caa. eaai?aoi???th O?ceee
Caie? ?inoeoooo aaieia?/ieo iaoe IAI A?ea?on?, i. I?inuee.

I?ia?aeia i?aai?caoe?y: Iaoe?iiaeueia a??ie/a aeaaeai?y Oe?a?ie
(eaoaae?a aaio?ceee), i. Aei?i?iiao?ianuee.

Caoeno a?aeaoaeaoueny 23 aa?aniy 1999 ?ieo i 10 aiaeei?

ia can?aeaii? niaoe?ae?ciaaii? ?aaee Ae 26.200.01 i?e ?inoeooo?
aaio?ceee ?i. N. ?. Noaaio?ia IAI Oe?a?ie: 252680, i. Ee?a — 142, i?.
Iaeeaae?ia, 32.

C aeena?oaoe??th iiaeia iciaeiieoeny a a?ae?ioaoe? ?inoeoooo aaio?ceee
?i.

N. ?. Noaaio?ia IAI Oe?a?ie.

Aaoi?aoa?ao ?ic?neaiee “ 17 ” _na?iiy___ 1999 ?ieo.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee

Caaaeueia oa?aeoa?enoeea ?iaioe.

Aeooaeuei?noue. Iaeiei c iaeaaaeeea?oeo caaaeaiue ii aea/aiith
aaieia?/ieo oa?aeoa?enoee ie?aieo ?aa?ii?a ? ieiu, a oaeiae iaea?aeaiith
a?aeiiinoae i?i aeeaeiiee neeaae Caie?, ? i?iaeaia i?aeaeuaiiy
?ioa?i?aoaoe?eieo iiaeeeainoae ie?aieo aaio?ce/ieo iaoiae?a ? ?oi?o
eiiieaen?a, oiio ui aiie a aeaiee /an noaiiaeyoue iniiaia aeaea?aei
oaeiai ?iaeo ?ioi?iaoe??. ?ioai?aoaoe?y iaoa??ae?a aaio?ce/ieo iaoiae?a,
cae?enithaaia a ?aieao o?ceei-aaieia?/ieo ? o?ceei-iaoaiaoe/ieo
iiaeaeae, caiaeeoueny, aeania eaaeo/e, aei ?ica’ycoaaiiy a?aeiia?aeieo
iaa?iaieo caaea/ ? aecia/aiiy ia?aiao??a oeeo iiaeaeae. ?iciiae?e
ie?aieo aaio?ce/ieo ia?aiao??a, a oaeiae ?oiuei? noeoiiino?, aea? iia?
aeai? i?i aaieia?/io aoaeiao ?aa?ii?a, aeicaiey? ooi/ithaaoe iayai?
aeai? i?i a?aeii? ? aeyaeyoe iia? ia’?eoe, iia’ycai? c oeie aai ?ioeie
ei?enieie eiiaeeiaie.

Aonoeiia iiaeaeue na?aaeiaeua, ui aoaeo?oueny ca aeaieie a?aa?iao???, ?
iaei??th c iaea?eueo ?ioi?iaoeaieo, oiio ui a ?iciiae?e? aonoeie
a?aeaeaa?oueny ?a/iaeiiee neeaae ii??ae, ui cono??/athoueny a
aaieia?/iiio ?ic??c?, ?oiy aaieia?/ia aoaeiaa ? oaeoii?ea, a a iaooia?e
aaieia?? — iiaaae?iea iaeiiai c iaeaaaeeea?oeo ia?aiao??a
ii??ae-eieaeoi??a — eiao?oe??ioa ii?enoino?.

Oa?oaaoa iiaeaeue na?aaeiaeua, yea iieno?oueny iaai?ii ieano?a ??cii?
aonoeie, ?icae?eaieo a?aieoeyie, aea aonoeia aai ?? a?aae??io oa?ieyoue
?ic?ea, oe?iei iioe?aia a i?aeoeoe? aaieiai?ica?aeoaaeueieo ?ia?o,
iniaeeai a iaooia?e ? ?iaeaia?i?e aaieia??, a?ae?iaaieia??, a oaeiae i?e
aea/aii? aioo??oiuei? aoaeiae caiii? ei?e.

O ca’yceo c oeei i?iaeaia i?aeaeuaiiy ?ioa?i?aoaoe?eieo iiaeeeainoae
no?oeoo?ii? a?aa?iao??? ? iiaoaeia? aaiaonoeiieo iiaeaeae ia iniia?
?ica’ycoaaiiy a?aeiia?aeieo iaa?iaieo caaea/ o ?aieao oa?oaaoeo iiaeaeae
na?aaeiaeu ? aeoaea aeooaeueiith.

Iaoa ?iaioe iieyaa? a noai?aii? aaoiiaoeciaaii? nenoaie iiaoaeiae
aaiaonoeiieo iiaeaeae oa?oaaoeo na?aaeiaeu, i?eaeaoii? aei aenieoaoaoe??
a ??cieo aaieia?/ieo neooaoe?yo ia iniia? ?icaeoeo oai??? ? iaoiaeeee
?ica’ycoaaiiy iaa?iaieo caaea/ no?oeoo?ii? a?aa?iao??? (iniaeeai
o?eaei??ieo), aeei?enoiaoth/e a?aa??ica?aeoaaeuei? iaoa??aee oa aio/ei
ii?aeioth/e ?o c iayaieie aeaieie ?ioeo aaio?ce/ieo iaoiae?a,

Iniiai? caaaeaiiy aeine?aeaeaiue:

1. Iaea?aeaiiy e?i?eieo ? iae?i?eieo ?ioaa?aeueieo ??aiyiue, ui aeathoue
?ica’ycee iaa?iaieo caaea/ no?oeoo?ii? a?aa?iao???, iiaiaeaeai? c
iayaiith aeiaeaoeiaith aaieiai-aaio?ce/iith ?ioi?iaoe??th.

2. Iiaoaeiaa no?eeeo ?oa?aoe?eieo i?ioean?a, ui aeicaieythoue iaea?aeaoe
/enaeueia ??oaiiy a?aeiia?aeieo ?ioaa?aeueieo ??aiyiue.

3. Iiaoaeiaa aoaeoeaieo aeai?eoi?a ? ia/enethaaeueieo noai ? i?ia?aiia
?aae?caoe?y ?ic?iaeaieo aeai?eoi?a.

4. Oai?aoe/i? ? oanoia? aeine?aeaeaiiy aeey aeai?o e iaa?oiooaaiiy
ia?aiao??a ooieoe?iiae?a, ye? i?i?i?cothoueny, oa ia/enethaaeueieo
noai.

5. ?ic?iaea e iaa?oiooaaiiy iaoiaeeee aeei?enoaiiy noai?aieo i?ia?aiieo
eiiieaen?a, iniiaaia ia oai?aoe/ieo aeine?aeaeaiiyo ? ?acoeueoaoao
oanoiaiai iiaeaethaaiiy e ia?iaee iieueiaiai a?aa?iao?e/iiai iaoa??aeo.

Iaoeiaa iiaecia. O ?iaio? noai?aia a?oia iaoiae?a ?ica’yceo e?i?eieo ?
iae?i?eieo iaa?iaieo caaea/ a?aa?iao??? ia iniia? aeei?enoaiiy
e?eoa??aeueiiai i?aeoiaeo aeey oa?oaaoeo neeaaeiiiiaoaeiaaieo iiaeaeae
na?aaeiaeu. ?aae?coth/e iinoaaeai? caaaeaiiy aaoi?ii oia?oa:

— iinoaaeaia caaea/a ? io?eiai? iae?i?ei? ?ioaa?aeuei? ??aiyiiy, ui
aeathoue ?ica’ycee iaa?iaii? caaea/? no?oeoo?ii? a?aa?iao??? a eean?
aonoeiieo a?aieoeue, iioeiaeueia a iao?eoe? i?inoi?o L2, aeey aeiaaeeo
ci?iii? ii aa?oeeae? ? ai?eciioae? aonoeie oa??a i?e caaaeaii?
aa?oeeaeueii? iio?aeii? a?aa?oaoe?eiiai iioaioe?aeo;

— aeaaaeai? oae? ae ??aiyiiy, ui aeathoue ??oaiiy iaa?iaii? caaea/?
aeey aeiaaeeo caaaeaiiy ae?oaeo iio?aeieo a?aa?oaoe?eiiai iioaioe?aeo;

— o ?aieao no?oeoo?ii? iiaeae? na?aaeiaeua iinoaaeaia ? ae??oaia caaea/a
i?i iiooe ?iciiae?e?a aonoeie a oa?ao, iaeaeeae/eo aei iaia?aae caaeaieo
a iao?eoe? i?inoi?o L2, ? io?eiai? a?aeiia?aei? e?i?ei? ?ioaa?aeuei?
??aiyiiy;

— iiaoaeiaai? no?ee? i?ioeane aeey /enaeueiiai ??oaiiy e?i?eieo ?
iae?i?eieo ?ioaa?aeueieo ??aiyiue, ui aeathoue ?ica’ycee iaa?iaieo
caaea/ no?oeoo?ii? a?aa?iao???, iioeiaeuei? a iao?eoe? L2;

— aeaaaeai? ni?aa?aeiioaiiy aeey ?ic?aooieo ia?aiao?a ?aeaenaoe??
?oa?aoe?eieo i?ioeaaeo?, ui caaacia/o? ?oith ca?aei?noue ? iaeneiaeueio
oaeaee?noue ca?aeiino?;

— ?ic?iaeaia iaoiaeeea iaeii/aniiai iiooeo, o ?aieao ?aeeii? no?oeoo?ii?
iiaeae?, ??oaiue iaa?iaii? iae?i?eii? caaea/? a?aa?iao???, iioeiaeueieo
o iao?eoe? i?inoi??a L2 ? N;

— ?ic?iaeaiee iaoiae iiooeo ??oaiue e?i?eii? iaa?iaii? caaea/?,
iioeiaeueieo o iao?eoe? i?inoi?o N;

— noai?aia iaoiaeeea iaeii/aniiai ??oaiiy e?i?eii? ? iae?i?eii?
iaa?iaieo caaea/ no?oeoo?ii? a?aa?iao??? a ?aieao ?aeeii? iiaeae?.

I?aeoe/ia oe?ii?noue. Oai?aoe/i? ? iaoiaee/i? aeine?aeaeaiiy aeicaieeee
noai?eoe a?oio iaoiae?a ?ioa?i?aoaoe?? aeaieo a?aa?iao??? a ?aieao
oa?oaaoi? iiaeae? na?aaeiaeua. Aiie ?aae?ciaai? o aeaeyae? aeaio
eiiieaen?a i?ia?ai, i?ecia/aieo aeey ?ica’ycoaaiiy aeaio ? o?eaei??ieo
caaea/. Ia?o? aa??aioe eiiieaen?a aoee ia?aaeai? a AinOAI N?N? ? OeAA
III N?N? o 1986 ? 1988 ?ieao. Iaaeae? aeai? eiiieaene aoee aeiiiaiai?
iiaeoeyie, ui cae?eniththoue iiooe ??oaiue iae?i?eii? caaea/?,
iioeiaeueieo o iao?eoe? N (I.?. Eia?oiia ? I.?. AEo?aaeueiaa), a oaeiae
iiaeoeyie, i?ecia/aieie aeey iiooeo a ?aieao no?oeoo?ii? iiaeae?
ca?aaeiaeua ??oaiue e?i?eii? iaa?iaii? caaea/? a?aa?iao???, iioeiaeueieo
o iao?eoe? i?inoi??a L2 ? N. Oea cia/ii ?icoe?eei iiaeeeaino? eiiieaen?a
? aeicaieeei i? ?oi?e iniia? noai?eoe aaoiiaoeciaaio nenoaio
?ioai?aoaoe?? a?aa?iao?e/ieo aeaieo aeey no?oeoo?ieo iiaeaeae na?aaeiaeu
neeaaeii? aaieia?/ii? aoae?ae?. Aeaii??i? iiaeoe? i?ia?ai oa?eoee
neeaaeiaith /anoeiith a aaoiiaoeciaaio nenoaio eiiieaenii? ?ioai?aoaoe??
naeni?/ieo ? a?aa?iao?e/ieo iaoa??ae?a “ELENA” (I. ?. Eia?oiia, I. I.
Iao?ianueeee). I?ia?aii? eiiieaene aoee ia?aaeai? oaeiae o ?yae
ae?iaie/eo ? iaoeiaeo i?aai?caoe?e III ? I?iAai N?N? ? aeei?enoiaoaaeeny
a Oe?a?i?, ia Naoae?i?, o sseoo??, Eii? ?anioae?oe?, Eacaonoai?, aea ca
aeiiiiiaith ?o canoinoaaiiy io?eiai? iia? aeai? i?i aaieia?/io aoaeiao
aeine?aeaeoaaieo ?aeii?a. Aeai? eiiieaene cia/ii ca?eueoeee iiaeeeaino?
a?aa?iao??? i?e aea/aii? neeaaeiiiiaoaeiaaieo aaieia?/ieo ia’?eo?a.
Ie?ai? ieoaiiy ?iaioe aena?oethaaeeny nooaeaioai aaio?ce/ii?
niaoe?aeueiino? ?aaii-O?aie?anueeiai aea?aeaaiiai oaoi?/iiai
oi?aa?neoaoo iaooe ? aaco (?OAeOOIA) i?e /eoaii? eaeoe?e ii
aeenoeeie?iao “A?aa?iaai?oi?ica?aeea” ? “Ia/enethaaeueia oaoi?ea a
aaio?ceoe?”, a noai?aia i?ia?aiia caaacia/aiiy — i?e i?iaaaeaii?
eaai?aoi?ieo caiyoue ii iacaaieo eo?nao.

Ioae?eaoe?? e aii?iaaoe?y. Ii oai? aeena?oaoe?? iioae?eiaaii a?eueoa 30
?ia?o, 9 ca?o?a ii IAe?. Ie?ai? iieiaeaiiy ?iaioe aeiiia?aeaeeny ia
ananithcieo ? i?aeia?iaeieo oeieao — nai?ia?ao ? nai?ia?ao ?i. Ae. A.
Oniainueeiai “Oai??y ? i?aeoeea ?ioai?aoaoe?? a?aa?oaoe?eieo ? iaai?oieo
iie?a” (i. Aeia-Aoa, 1984 ?., i. Eai?iaeai 1987 ?., i.
Aei?i?iiao?ianuee, 1991 ?., i. Oooa, 1998 ?.), ?inoeooo? O?ceee Caie?
?i. I. TH. Oi?aeoa (1981 ?.), ?inoeooo? aaio?ceee ?i. N.?. Noaaio?ia
(1981 ?.), i?aeia?iaei?e eiioa?aioe?? “XXI — noi??//y — i?iaeaie ?
ia?niaeoeae inai?iiy ?iaeiaeu ei?enieo eiiaeei” (i. Aei?i?iiao?ianuee,
1998 ?.), iaoeiai — i?aeoe/i?e eiioa?aioe?? “Aeooaeuei? i?iaeaie
aaieia?? ? ?aoe?iiaeueiiai i?e?iaeiei?enooaaiiy” (i. Aei?i?iiao?ianuee,
1999 ?.), a oaeiae ia aaaaoueio eiioa?aioe?yo i?ioanni?nei-
aeeeaaeaoeueeiai neeaaeo ?OAeOOIA (1984-1998 ?.).

Ia’?i ? no?oeoo?a ?iaioe. Aeena?oaoe?y neeaaea?oueny c? anooio ,
aeaa’youeio ?icae?e?a, aeniiae?a ? nieneo e?oa?aoo?e. Ia’?i aeena?oaoe??
350 noi??iie, o oiio /ene?: nieneo e?oa?aoo?e — 210 iaeiaioaaiue,
?enoie?a — 60, oaaeeoeue — 4.

O ia?oeo oanoe ?icae?eao aeaaaeai? ?ioaa?aeuei? ??aiyiiy, ui aeathoue
?ica’ycie e?i?eii? ? iae?i?eii? iaa?iaii? caaea/ai no?oeoo?ii?
a?aa?iao??? i?e caaaeaii? aa?oeeaeueii? iio?aeii? a?aa?oaoe?eiiai
iioaioe?aeo ? ?? a?aae?aio?a. ?ioaa?aeuei? ??aiyiiy io?eiai? aeey aeaio
? o?eaei??ieo aa??aio?a caaea/. I?e oeueiio aonoeia oa??a iiaea aooe
iino?eii?, ci?iiith ii eaoa?ae? ? ci?iiith ye ii ai?eciioae?, oae ? ii
aa?oeeae?. I?eaaaeaii ?oa?aoe?ei? i?ioeane, i?ecia/ai? aeey ??oaiiy
io?eiaieo ?ioaa?aeueieo ??aiyiue, ? iienai? iie?ieia? aeai?eoie aeey
iaoeiii? ?aae?caoe?? oeeo i?ioeaaeo?.

A ?ioeo o?ueio ?icae?eao aena?oeai? ieoaiiy i?aai?caoe??
ia/enethaaeueieo i?ioeaaeo? ia iniia? iienaieo aeai?eoi?a, ?acoeueoaoe
iiaeaeueieo aenia?eiaio?a, ni?yiiaaieo ia ae?iaeo iaoiaeee aeai?o
ia?aiao??a ia/enethaaeueieo noai, canoinoaaiiy ?ic?iaeaieo eiiieaen?a
i?ia?ai, a oaeiae ?acoeueoaoe aei?iaoaaiiy eiiieaen?a ia iieueiaiio
iaoa??ae? a ??cieo ?aa?iiao, aeeiiai? aaoi?ii ? ?ioeie aeine?aeieeaie,
ui iieacothoue i?aoeacaeaoi?noue i?ia?aiiiai caaacia/aiiy.

I?ia?aiia ?aae?caoe?y ie?aieo iiaeoe?a cae?enithaaeany ca o/anoth
Ai?e??aa N.A., Aeaaiai ?.?., Iao?ianueeiai I.I., Noyo?iiaa A.I. ?
AEo?aaeueiai? I.?. An?i ?i y aeoaea aaey/iee ca ni?a?ia?oieoeoai.

Aeaia ?iaioa aeeiiaia aaaaoi a /iio caaaeyee aeiaaie?oiueiio iaoeiaiio
ni?a?ia?oieoeoao c I.?. Eia?oiiaei, /e? ?iaioe eyaee a ?? iniiao, a
ii?aaee aeiiiiiaee ?? aeeiiaiith. Ii?aaee, ?aeiiaiaeaoe?? ? ?iaioe A.I.
No?aoiaa, A.?. Noa?inoaiei, N.N. E?anianueeiai, N.I. Iaaianyia, A.A.
*i?iiai ?, iniaeeai ?.A. Aoeaoa, aeiiiiiaee aaoi?o oi/i?oa iinoaaeoe ?
ae??oeoe aeaio i?iaeaio. On?i ?i aaoi? i?eiineoue ue?o aaey/i?noue. ss
aaey/iee oaeiae ni?a?ia?oieeai eaoaae?e iieueiai? iaooiaaciai? aaio?ceee
(caa. Eocueiaiei A.Ae.) ? aaio?ce/ieo aeine?aeaeaiue naa?aeeiaei (caa.
Oaaei?eoei Ae.Ae.) ?OAeOOIA ca i?aeo?eieo ? aeiiiiiao i?e aeeiiaii?
aeaii? ?iaioe.

Ci?no ?iaioe

CAAAEUeIA NOAIA IAeA?AEAIIss ?IOAA?AEUeIEO ??AIssIUe, UI AeATHOUe
?ICA’ssCEE IAA?IAIEO CAAeA* NO?OEOO?II? A?AA?IAO???

I?iaeaiith iiooeo ??oaiue iaa?iaii? caaea/? no?oeoo?ii? a?aa?iao???
caeiaeeny aaaaoi aeine?aeiee?a ye o iai?yieo aea/aiiy aiae?oe/ieo
aeanoeainoae ?ica’yce?a, ye? iaea?aeothoueny, ?aeeiino? ? no?eeino? ?o,
oae ? a iai?yieo ?ic?iaee iaoiae?a ? aeai?eoi?a ?ioai?aoaoe??
a?aa?iao?e/ieo aeaieo aeey oa?oaaoeo iiaeaeae na?aaeiaeu. Iaea?eueoa
iioe?aiiy aeey ??oaiiy aeaieo caaea/ iaea?aeaee iaoiaee i?aeai?o (?. A.
Aoeao, A. I. No?aoia, A. ?. Noa?inoaiei e ?i.), o yeeo ie?ai? aonoeii?
oa?e ai?ieneiothoueny iaai?ii aeaiaioa?ieo o?e, a?aa?oaoe?eiee aoaeo
a?ae yeeo ii??aiyii eaaei ia/eneth?oueny, ? iaaeae? ooeathoueny aai
aonoeia oeeo o?e (e?i?eia caaea/a), aai ?oi? aaiiao?e/i? oa?aeoa?enoeee
(iae?i?eia caaea/a). I?e oeueiio i?aaeeuei?noth ??oaiiy neoaeeoue i??a
aeecueeino? oai?aoe/iiai e aei??yiiai iie?a. Oey i??a ae?aaea?oueny
ooieoe?iiaeii, ui ? ii?iith ??cieoeaaiai iiey a aeayeiio iao?e/iiio
i?inoi?? (ye i?aaeei L2) ? noaaeoueny caaaeaiiy aacoiiaii? i?i?i?caoe??
oaeiai ooieoe?iiaea. I?e oeueiio e?euee?noue ooeaieo ia?aiao??a ia
iiaeiia ia?aaeuoaaoe e?eueeino? oi/ie caaaeaiiy iiey. Iaeiae aeey
neeaaeieo aaieia?/ieo ia’?eo?a c iaoith ?oiueiai aaeaeaaoiiai iieno,
iniaeeai a o?eaei??iiio aeiaaeeo, iaiao?aeii aeoaea aaaaoi oaeeo o?e, ui
i?eaiaeeoue o i?aenoieo aei iiaaii iaoiiaeaieo nenoai e?i?eieo aai
iae?i?eieo ??aiyiue aaeeei? ?ici??iino?, ??oaiiy yeeo naia ii nia? noa?
i?iaeaiaoe/iei. Oea ciooo? ciaiooaaoe e?euee?noue ia?aieo o?e, ui
iia??oo? aii?ieneiaoe?ei? iiaeeeaino? iiaeae?, aai canoiniaoaaoe
?aaoey?ecaoe?th A. I. Oeoiiiaa, ui /anoi i?eaiaeeoue aei caeaaeaeaieo
?ica’yce?a.

Aaaaoi a /iio oeeo iaaeie?e?a iicaaaeaiee e?eoa?eaeueiue i?aeo?ae,
cai?iiiiiaaiee I. ?. Eia?oiiaei, aea iaa?aeii? ooeai? ia?aiao?e
ciaoiaeyoueny c aeei?enoaiiyi niaoe?aeueieo ooieoe?e Eaa?aiaea, ui
ia?aiao?ecothoue ?o ? iathoue caaaeaee ?ici??i?noue niinoa?aaeaiiai
a?aa?oaoe?eiiai iiey. Aeaia ?iaioa iai?aaeaia ia iiaoaeiao
aaoiiaoeciaaii? nenoaie aaiaonoeiiiai iiaeaethaaiiy ia iniia? ?icaeoeo
e?eoa??aeueiiai i?aeoiaeo aei ?ica’ycoaaiiy iaa?iaieo caaea/ a?aa?iao???
aeey oa?oaaoeo iiaeaeae na?aaeiaeu.

Iinoaiiaea iaa?iaii? caaea/? a ?aieao e?eoa??aeueiiai i?aeoiaeo aaoi?ii
oi?ioeth?oueny ianooiiei /eiii.

Iaoae ca aeayeeie aaieiai aaio?ce/ieie aeaieie iiaoaeiaaia aonoeiia
iiaeaeue, ui oa?aeoa?eco?oueny aaeoi?ii ia?aiao??a X0. O no?oeoo?i?e
caaea/? i?ae X0 ,aoaeaii ?icoi?oe ooieoe??, ye? iienothoue aai aeeaeie
aonoeiieo a?aieoeue f(x,y), aai aonoeie oa??a ((x,y), ui caeaaeaoue a?ae
ai?eciioaeueieo eii?aeeiao. Iaiao?aeii ciaeoe oaeee aaeoi? ia?aiao??a X,
yeee aoa ae iaeneiaeueii aeecueeee aei X0. Ca i??o aeecueeino?
i?eeia?oueny ooieoe?iiae, ui ? ii?iith a aeayeiio iao?e/iiio i?inoi??,
/ano?oa onueiai L2 ? N. Oiae? caaea/o iiaeia iinoaaeoe o ianooiiiio
aeaeyae?:

a.

a.
(1)

Iaeiae aaciina?aaeiuei ae??ooaaoe caaea/o (1) iaiiaeeeai, oiio ui ??
?ica’ycie ? o?ea?aeueiei — X=X0. Iaiao?aeii ?? aeiiiaieoe aeayeith
oiiaith. O a?aa?iao??? i?e?iaeiith oiiaith ? iaiao?aei?noue oiai, uia
oai?aoe/ia iiea, ?ic?aoiaaia a?ae ia?aiao??a X, ca?aaeiny c aei??yiei.
Oiae? iinoaiiaea caaea/? aoaea aeaeyaeaoe:

,
(2)

aea U —aa?oeeaeueia iio?aeia a?aa?oaoe?eiiai iioaioe?aeo Uz aai ??
a?aae?aioe Uxz , Uyz , , Uzz , A — iia?aoi? i?yii? caaea/?.

Aeoiaey/e c oeueiai iaa?iaio caaea/o iiaeia noi?ioethaaoe oaeei /eiii —
ciaeoe oaeo iiaeaeue na?aaeiaeua, yea iieno?oueny ia?aiao?aie X, ui
aeinoaaeythoue i?i?ioi ooieoe?iiaeo (1), a iiea a?ae ia? ni?aiaaea? c
aei??yieie eiai cia/aiiyie. ?ica’ycee caaea/? (2), ui aeinoaaeythoue
i?i?ioi ooieoe?iiaeo (1), iaceaathoueny iioeiaeueieie, oiio ui aiie ?
iaeaeeae/eie aei aeo?aeii? iiaeae? ii ii?i? aeayeiai iao?e/iiai
i?inoi?o. Oei naiei ??oaiiy (2), ui aeinoaaey? i?i?ioi ooieoe?iiaeo
(1a), aoaea iioeiaeueiei o iao?eoe? L2, a ooieoe?iiaeo (1a) —
iioeiaeueiei o iao?eoe? N. I?e oeueiio aea?? iao?eee L2 anioe?th?oueny c
iiooeii ?ica’yceo, iaeaeeae/iai aei ii/aoeiai? iiaeae?, yea i?noeoue
onth iayaio ?ioi?iaoe?th, a na?aaeiueieaaae?aoe/iiio ?icoi?ii?, a
iao?eea N — c iiooeii iiaeae?, iaea?eueo ei?aeyoe?eii iia’ycaii? c
aeo?aeiith. Aea?? oiai /e ?ioiai i?inoi?o cae?enith?oueny caeaaeii a?ae
eiie?aoii? aaieiai-aaio?ce/ii? neooaoe??.

Iinoaiiaea (2) ? iniiaiith i?e e?eoa??aeueiii i?aeoiae?. Caaea/?,
aiaeia?/i? (2), iaceaathoueny aeno?aiaeueieie. sseui ooieoe?iiae I(X)
aeeoa?aioe?th?oueny ca O?aoa, oi ?? ??oaiiyi neoaeeoue ??aiyiiy Yeea?a —
Eaa?aiaea:

(3)

— neiaie neaey?iiai aeiaooeo. sse aeieeaa? c aeuacacia/aiiai,
e?euee?noue ia?aiao??a X ia iia’ycaia c e?euee?noth oi/ie aei??thaaiiai
iiey. Aeiaeaoeiaith oiiaith, iaeeaaeaiith ia (1), iiaea aooe oiiaa, uia
iiey ca?aaeeny a iaei?e, aeaio aai aeia?euei?e e?eueeino? oi/ie. Iaeiae
iiaeeeaee aeiaaeie, eiee a aeayeeo oi/eao iiea a?ae X0 ca?aa?oueny c
aei??yiei ?, caaeaaoe o?eueee ?o, ooi/iaiiy iiaeae? ia aaeanoueny
aeiiiaoeny. Acaaae? eaaeo/e, /ei aoae/a iaeanoue cia/aiue iia?aoi?a A
(caaeaii iaei oi/ie iiey), oei oe?oa iiiaeeia eiai aecia/aiiy ?
iiaeeeaee aeiaaeie, eiee aiia ia?aoeia?oueny c iiiaeeiith, iaoiiaeaiith
(1). sseui oe? iiiaeeie ia?aoeiathoueny aai aeioeeathoueny, oi ?ica’ycie
caaea/? (2) aoaea ?aeeiei ? oi/iei. sseui ae aiie ia iathoue ni?eueieo
aeaiaio?a, oi iiaeia iaea?aeaoe ?ica’ycie (2) ?c aeayei? iaa’yceith i?ae
iieyie, oiaoi a ?aieao i?eeiyoi? iiaeae? ia iiaeia oi/ii i?ae?a?aoe
ie?ai? eiiiiiaioe a?aa?oaoe?eiiai iiey.

Ia iniia? ??aiyiiy (3) io?eiai? on? ae?ace aeey ?ica’yce?a iaa?iaieo
caaea/ no?oeoo?ii? a?aa?iao???, iioeiaeueieo o iao?eoe? i?inoi?o L2, oae
ye a oeueiio aeiaaeeo ooieoe?iiae aeeoa?aioe?th?oueny ii O?aoa.
Ooieoe?iiaee (1a) ? (1a) i?e iiooeo ??oaiue iaa?iaii? caaea/? nooeoo?ii?
a?aa?iao??? a eean? aonoeiieo a?aieoeue iathoue aeae:

, (4)

, (5)

aea N — e?euee?noue aonoeiieo a?aieoeue, S — i?iaeoe?y iaeano? caaaeaiiy
a?aieoeue ia ieiueio Z=0, f(x,y) — ooeai? aeeaeie a?aieoeue, f*(x,y) —
aeeaeie a?aieoeue ii/aoeiai? iiaeae?, (2 — ooieoe?y iioeaee iiaoaeiae
f*(x,y), (( — ia?aiaaee aonoeie ia a?aieoeyo, F — aeaye? e?i?ei?
iia?aoi?e.

I?e ?ica’ycoaaii? caaea/? i?i iiooe ?iciiae?eo aonoeie a oa?ao
ooieoe?iiae (4) caieoaoueny:

(6)

Eiie?aoi? ae?ace aeey ??aiyiiy (2) caeaaeaoue a?ae aeaeo iia?aoi?a A e
aoaeooue iaaaaeai? ieae/a.

Ooieoe?iiaee (4) ? (6) aeathoue iiaeeea?noue iaea?aeaoe ?ica’ycee,
ia?aiao?e yeeo iaeaeeae/? aei aeo?aeii? iiaeae? a
na?aaeiueieaaae?aoe/iiio ?icoi?ii?. Oea i?aaii??ii, yeui ia?aiao?e
ii/aoeiai? iiaeae? ia i?noyoue nenoaiaoe/ieo iioeaie, a caeaaeaoue a?ae
aaaaoueio aeiaaeeiaeo aaee/ei, eiaeia c yeeo ?noioiiai aieeao ia
oi/i?noue ?oiuei? iiaoaeiae ia ?iaeoue. Ooieoe?iiae (5) aea? ??aiii??ia
iaaeeaeaiiy ia?aiao??a, ui nooo?ai, yeui o aeo?aei?e iiaeae? i?enooi?
nenoaiaoe/i? iioeaee.

A on?o ?icaeyiooeo aeiaaeeao i?eeia?oueny ianooiia iiaeaeueia neooaoe?y.

O aeaea?oia?e nenoai? eii?aeeiao XYZ, ?c a?nnth Z ni?yiiaai?e aiec, aei
ian, a iaeano? ieaeiueiai iai?ai?inoi?o V, i?iaeoe?y yei? ia ieiueio Z=0
? S, ?nio? N oa??a ?c aonoeiaie ((x,y,z), ?icae?eaieo N+1-?th aonoeiiith
a?aieoeath, ui aeiionea? iien o aeaeyae? aeia?eueii? ooieoe??
ai?eciioaeueieo eii?aeeiao f(x,y). I?aeioaith i-ai oa?o neoaeeoue
fi(x,y), iie??aeath — fi-1(x,y). Aieea ii??ae, ui caeyaathoue iica
iaeanoth V, a?aeiiee ? a?aeiyoee c? niinoa?aaeaiiai iiey, caaaeaiiai a
iaeano? S0 ieiueie Z=0. Oei naiei ia?aaeaa/a?oueny, ui (0 = (N+1 = 0.

IAeA?AEAIIss ?ICA’ssCE?A IAA?IAII? CAAeA*? NO?OEOO?II? A?AA?IAO???,
IIOEIAEUeIEO O IAO?EOe? L2, I?E CAAAeAII? AA?OEEAEUeII? IIO?AeII?
A?AA?OAOe?EIIAI IIOAIOe?AEO

Aeey ?icaeyiooiai aeiaaeeo ooieoe?iiae , ui i?i?i?co?oueny , ia? aeae
(4). Eiie?aoiee aeae iia?aoi?iiai ??aiyiiy AX=U aoaea caeaaeaoe a?ae
iia?aoi?a i?yii? caaea/? — aonoeia oa??a iiaeae? iino?eia aai ci?iia,
iiea Uz caaeaii iaia?a?aii aai aeene?aoii ? o.i. ?icaeyiaii, aeey
i?eeeaaeo, neooaoe?th, eiee aonoeia oa??a ci?ith?oueny aeia?eueii a
ai?eciioaeueiiio iai?yieo ? e?i?eii o aa?oeeaeueiiio. Iiea caaeaia
iaia?a?aii. ?iciiae?e aonoeie a i-oiio oa?? iiaeia caienaoe ??aiyiiyi —
(i(x,y,z) = ai(x,y)z+bi(x,y), aea a(x,y), b(x,y) — aeia?euei? ooieoe??
ai?eciioaeueieo eii?aeeiao. Oiae? ca’ycie aonoeiii? iiaeae? c
eiiiiiaioith Uz caieoaoueny ianooiiei ??aiyiiyi:

I?i?ioaa?oaaaoe aeaiee ae?ac ii z ?, c iaeyaeo ia oa, ui (0 = (N+1 = 0,
oa i?aenoaaeaoe iaae? ?ioaa?oaaiiy, iaea?aeeii:

, (7)

aea (ai(x,y)=ai-1(x,y)-ai(x,y), (bi(x,y)=bi-1(x,y)-bi(x,y).

Iinoaiiaea (2) caieoaoueny:

, (8)

Ooieoe?iiae (4) aeeoa?aioe?th?oueny ii O?aoa ? iiaeia caienaoe yaiee
aeae ??aiyiiy (3):

i=0,1,…,N. (9)

Ooo ((x0,y0) — ooieoe?y Eaa?aiaea, ui ia? ?ici??i?noue Uz ? iia’ycaia c
iei. Ae?ac (9) ? iae?i?eia ?ioaa?aeueia ??aiyiiy uiaei f(x,y). Iiiaeeie,
ooai?ai? (9), I. ?. Eia?oiiaei iacaai? aeno?aiaeueieie eeanaie, oiio ui
aiie aeathoue i?i?ioi ooieoe?iiaeo (1). Caaaeueia noaia ?ica’yceo
??aiyiue oeio (9) ianooiia. I?aenoaaeaoe (9) o (7) ?ica’yco?ii io?eiaia
??aiyiiy a?aeiinii ((x0,y0). sseui i?aaa /anoeia (7) i?noeoue iioeaee,
oi oeueiai ?ica’yceo iiaea ia ?nioaaoe. Oiae?, aeei?enoiaoth/e ?aea?
iaoiaeo i?aeai?o, iiaeia iaea?aeaoe eiai “eaac??ica’ycie” (*(x0,y0).
Aeae?, i?aenoaaeaoe ciaeaeaia cia/aiiy ((x0,y0) o (9), ciaoiaeeii an?
aeeaeie aonoeiieo a?aieoeue f(x,y). Oaeee i?aeo?ae eaaei iiaeia
?aae?coaaoe o aeiaaeeo e?i?eiino? iia?aoi?a A, ui aoaea iienaii ieae/a
i?e ?icaeyae? iiooeo aonoeie oa??a. O aeaiiio aeiaaeeo iia?aoi? A
iae?i?eiee ? oeae i?aeo?ae i?ecaiaeeoue aei neeaaeieo ?ioaa?aeueieo
??aiyiue, ui aaaeei ae??oeoe /enaeueieie iaoiaeaie. ??aiyiiy, aiaeia?/i?
(9) io?eiai? ? aeey aeaii??ii? iinoaiiaee caaea/?. Aiie iienothoue
aeaiaioe c aeno?aiaeueieo eean?a aeey ??cieo aeae?a iia?aoi?a A.

IAeA?AEAIIss ?ICA’ssCE?A IAA?IAII? CAAeA*? NO?OEOO?II? A?AA?IAO???,
IIOEIAEUeIEO O IAO?EOe? L2, AeEss Ae?OAEO IIO?AeIEO A?AA?OAOe?EIIAI
IIOAIOe?AEO

Ae?oa? iio?aei? a?aa?oaoe?eiiai iioaioe?aeo a?eueo /ooeea?, i?ae Uz, aei
aonoeiieo iaiaeii??aeiinoae o aa?oi?e /anoei? ?ic??co, ? i?e iiaoaeia?
aonoeiieo iiaeaeae aaieia?/ieo ia’?eo?a, ?icoaoiaaieo ia iaaaeeeeo
aeeaeiao, a?eueo aeioe?eueii aeei?enoiaoaaoe ?o, a ia Uz. Iaea?eueo
/anoi aeei?enoiaothoueny a?aae??ioe Uz — Uxz, Uyz, Uzz. Oiio aeioe?eueii
iaea?aeaoe ??aiyiiy ?ica’yceo iaa?iaii? caaea/? aeey a?aae??io?a
aa?oeeaeueii? iio?aeii? iioaioe?aeo. Aeei?enoiaoth/e iiaeaeue,
i?eaaaeaio aeua, io?eiai? ??aiyiiy, ui iienothoue aeaiaioe c
aeno?aiaeueieo eean?a, aeey an?o a?aae??io?a i?e ??cieo aeaeao iia?aoi?a
A. ?icaeyiaii, iai?eeeaae, neooaoe?th, eiee caaaeaia eiiiiiaioa Uxz ia
ieiuei? Z=0 o aeia?eueiiio aeene?aoiiio iaai?? oi/ie. Aonoeia oa??a
ci?ith?oueny aeia?eueii a ai?eciioaeueiiio iai?yieo ? e?i?eii o
aa?oeeaeueiiio. ??aiyiiy ca’yceo aonoeiii? iiaeae? c a?aa?oaoe?eiei
iieai ia? aeae:

, j=1,2,…,L, (10)

aea (ai(x,y)=ai(x,y)-ai+1(x,y), (bi(x,y)= bi(x,y)-bi+1(x,y), L —
e?euee?noue oi/ie, aea caaaeaia iiea.

Iinoaiiaea (2) aoaea aeaeyaeaoe a oaeei /eiii:

, j=1,2,…,L. (11)

A ae?ac (3), ui aea? ?ica’yce iinoaaeaii? caaea/? , caieoaoueny:

, (12)

aea (j — iiiaeieee Eaa?aiaea, i=0,1,…,N.

O ?iaio? iaaaaeai? ??aiyiiy oeio (12) aeey iino?eii?, ci?iii? ii
eaoa?ae? aonoeie oa??a, a oaeiae aeey aeiaaeeo, eiee aonoeia oa??a
ci?ith?oueny o aa?oeeaeueiiio iai?yieo ca ia?aaie?/iei caeiiii. I?e
oeueiio iiea caaea?oueny aai iaia?a?aii ia ieiuei? Z=0, aai a
aeene?aoieo oi/eao oe??? ieiueie. Aiaeia?/i? ni?aa?aeiioaiiy io?eiai? ?
aeey eiiiiiaio Uyz, Uzz.

Oei naiei, ae?ace, iiae?ai? (9), (12), iienothoue o aeaeyae? iae?i?eieo
?ioaa?aeueieo ??aiyiue aeeaeie a?aieoeue no?oeoo?ii? iiaeae? ye
aeia?eueio ooieoe?th ai?eciioaeueieo eii?aeeiao f(x,y). On? a?aieoe?,
iacaeaaeii a?ae ?oiuei? e?eueeino?, ia?aiao?eciaai? iaei??th ooieoe??th
Eaa?aiaea ((x0,y0) (aai iiiaeieeaie Eaa?aiaea (). Oe? a?aieoe? ?
iaeaeeae/eie aei iiia?aaeiuei iiaoaeiaaieo a?aieoeue f*(x,y) o iao?eoe?
i?inoi?o L2. Aiie aoaeooue iioeiaeueieie noiniaii aeo?aeii? iiaeae?,
yeui inoaiiy ia i?noeoue nenoaiaoe/ieo iioeaie, a aeiaaeeia? iioeaee ??
iiaoaeiae i?aeii?yaeeiaai? ii?iaeueiiio caeiio c ioeueiaei iaoaiaoe/iei
niiae?aaiiyi ? iaeeie/iith aeenia?n??th. Oae? aeiaaeee aeoaea /anoi
cono??/athoueny a ?aaeueieo aaieia?/ieo neooaoe?yo. ??aiyiiy oeio (9) ?
iniiaith iiaoaeiae aeai?eoi?a iiooeo a?aieoeue , ui caeyaathoue ia
cia/ieo aeeaeiao, a oeio (12) — aeey iiooeo a?aieoeue o aa?oi?e /anoei?
aaieia?/iiai ?ic??co. oiio ui a ae?oaeo iio?aeieo o ii??aiyii? c
Uz.a?eueo ??cei a?aeia?aaea?oueny iieiaeaiiy ia’?eo?a , ui caeyaathoue
iaaeeaiei.

IAeA?AEAIIss ?ICA’ssCEO IAA?IAII? CAAeA*? A?AA?IAO???, IIOEIAEUeIEO O
IAO?EOe? N.

sseui aeo?aeia aaiaonoeiia iiaeaeue i?noeoue nenoaiaoe/i? iioeaee, oi
??oaiiy, io?eiai? ii ??aiyiiyo oeio (9) aai (12), aoaeo/e iaee?auei
iaaeeaeaiiyi o na?aaeiueiio, ia aoaeooue iioeiaeueieie noiniaii ia?.
Oaea iiaea o?aieoeny, eiee aaiaonoeii? a?aieoe? f*(x,y) iiaoaeiaai?,
iai?eeeaae, ca naeni?/ieie aeaieie ?c aeei?enoaiiyi t0 i?e iaoi/iiio
caaaeaii? na?aaei?o oaeaeeinoae aai iai?aaeeueiiio aeai?? oace ia
/aniaiio ?ic??c? NAO. O oeueiio aeiaaeeo iaee?auei iaaeeaeaiiyi aoaea
??aiii??ia, i?e yeiio ooieoe?iiae, ui i?i?i?co?oueny, ia? aeae (1a).
??aiii??ia iaaeeaeaiiy aea? iiaeeea?noue iaea?aeoaaoe ?ica’ycee,
iaeneiaeueii “noiae?” ia aeo?aeio iiaeaeue, oiaoi iaeneiaeueii
ei??aeyoe?eii c iath iia’ycai?. Aeey ?ica’ycoaaiiy iaa?iaii? caaea/? a
eean? aonoeiieo a?aieoeue ooieoe?iiae ia? ianooiiee aeae:

, (13)

aea F — e?i?ei? caieioo? iia?aoi?e. sse iia?aoi?e F iiaeooue aenooiaoe
iia?aoi?e cai?oee, aeiiiiaeaiiy ia aaaiao ooieoe?th, aai ?oiy
eiia?iaoe?y. I?eeiaii, ui iaeanoue S iaiaiaaeaia. Oiae? iinoaiiaea
caaea/? (2) caieoaoueny (aeey iino?eii? aonoeie oa??a):

, (14)

aea (( — ia?aiaaee aonoeie ia a?aieoeyo.

Oae ye ooieoe?iiae (13) oaea ia aeeoa?aioe?th?oueny ii O?aoa, oi
iaea?aeaoe ??aiyiiy Yeea?a — Eaa?aiaea (3) iaiiaeeeai. Aeey oaeiai
aeiaaeeo I. ?. Eia?oiiaei cai?iiiiiaaii ae??ooaaoe caaea/o (14) ia
aeayeiio niaoe?aeueiiio eean? ooieoe?e. Iieacaii, ui ?ica’ycie ??aiyiiy

ia eean? ooieoe?e ?c i?aaenoaaeaiiyi

,

aea ((x,y) — iaia?a?aia ooieoe?y, iaeia ? oa ae naia aeey an?o
a?aieoeue fi(x,y) ? ?ica’yceii caaea/? (14).

I.?. Eia?oiiaei ? I.?. AEo?aaeueiaith io?eiai? ianooii? ??aiyiiy, ui
aeathoue ?ica’ycie iinoaaeaii? caaea/?:

, (15)

aeey iino?eii? aonoeie ?

, (16)

aeey ci?iii? ii eaoa?ae? aonoeie ieano?a, i=0,1,…,N.

.

Aeey aeueo iio?aeieo a?aa?oaoe?eiiai iioaioe?aeo oaeiae iiaeia
iaea?aeaoe ??aiyiiy iiae?ai? (15) ? (16), iaeiae i?ino?oa
aeei?enoiaoaaoe ca’ycie niaeo?a iio?aeii? c? niaeo?ii ooieoe?? i?e
ia?aoai?aii? Oo?’? ? canoiniaoaaoe aeey iiooeo a?aieoeue o aa?oi?e
/anoei? ?ic??co oi?ioee (15) ? (16). Iaaaaeai? ??aiyiiy iienothoue
iaiaiaaeai? iia?aoi?e ? aaciina?aaei? ia/eneaiiy ii ieo iaiiaeeea?. Aeey
iaea?aeaiiy ?ica’yce?a (15) ? (16) aa?oi canoiniaoaaoe ?aaoey?ecaoe?th
A. I. Oeoiiiaa ? no?ee? ?oa?aoe?ei? i?ioeaaeo?e, iienai? ieae/a.

?OA?AOe?EI? I?IOeANE AeEss ?ICA’ssCOAAIIss IAE?I?EIEO

?IOAA?AEUeIEO ??AIssIUe

sse oaea a?aecia/aeiny, aoaeoaaoe ia/enethaaeuei? aeai?eoie ca
??aiyiiyie oeio (9) ? (12) iaiiaeeeai /a?ac iae?i?ei?noue iia?aoi?a A, a
(15) ? (16) — /a?ac eiai iaiaiaaeai?noue. Oae? caaea/?, ye a?aeiii,
iaeaaeaoue aei iaei?aeoii iinoaaeaieo ? oa?aeoa?ecothoueny cia/iith
iano?ee?noth. Caaaeuei? iaoiaee ?aaoey?ecaoe?? aeey oaeeo oei?a ??aiyiue
?acaeyaeaeenue a ?iaioao A. I. Oeoiiiaa, I. I. Eaa??iueoue?aa, A. E.
?aaiiaa, A. I. No?aoiaa, A. ?. Noa?inoaiei, A. A. Aeanei oa ?ioeo. O
?iaio? aeey ?ica’ycoaaiiy iiae?aieo ??aiyiue iiaoaeiaai? no?ee?
?oa?aoe?ei? i?ioeaaeo?e. A iia?aoi?i?e oi?i? aeey iaea?aeaiiy ??oaiue,
iioeiaeueieo o iao?eoe? L2, aiie iathoue aeae:

, (17)

aea (n — ia?aiao? ?aeaenaoe?? (n — ??cieoeaaa a?aa?oaoe?eia iiea ia
n-iio e?ioe? ?oa?aoe?eiiai i?ioeano.

Eiie?aoi? ae?ace aeey iieno oaeeo i?ioeaaeo? caeaaeaoue a?ae aeaeo
iia?aoi?a A — caaaeaia aa?oeeaeueia iio?aeia a?aa?oaoe?eiiai iioaioe?aeo
aai ?? a?aae?aioe, iaia?a?aii ia ieiuei Z=0 aai o aeene?aoieo oi/eao
oe??? ieiueie, aonoeie oa??a iino?ei?, ci?ii? ii eaoa?ae? aai
ci?iththoueny ye ii ai?eciioae?, oae ? ii aa?oeeae? ? o.i. sse i?eeeaae,
iaaaaeaii ?oa?aoe?ei? i?ioeane, ui canoiniaothoueny aeey ?ica’ycoaaiiy
?ioaa?aeueieo ??aiyiue (9) ? (12). Aiie caieoooueny a oaeee niin?a:

, (18)

,

, (19)

.

A. ?. Noa?inoaiei ? N. I. Iaaianyi iieacaee, ui i?ioeane, iiae?ai? (18),
(19), ? oae?, ui naii?aaoey?ecothoueny, /ei i?aeaeuo?oueny ?oiy
no?ee?noue.

A ?oa?aoe?eieo i?ioeaaeo?ao (18), (19) ia?aiao? ?aeaenaoe?? (n
a?aeiia?aea? ca ?oith ca?aei?noue, i?aeaeuo? no?ee?noue i?ioean?a ?
caaacia/o? ?o iaeneiaeueio oaeaee?noue ca?aeiino?. A?i ia/eneth?oueny ia
eiaeiiio e?ioe? ?oa?aoe?eieo i?ioean?a aeoiaey/e c oiiae aeinyaiaiiy
iaeneiaeueiiai ciaioaiiy ??cieoeaaiai iiey. A ii?a?aoi?iie oi?i? ae?ac
aeey ?ic?aooieo (n aeaeyaea? oaeei /eiii:

. (20)

A yaiee eiai aeaeyae aeey aeiaaeeo, eiee caaaeaia aa?oeeaeueia iio?aeia
a?aa?oaoe?eiiai iioaioe?aeo o aoceao i?yiieooii? ia?aae? ia ieiuei? Z=0,
a aonoeie oa??a iiaeae? ? noaeeie aaee/eiaie, ne?aeoth/ee:

, (21)

,

.

?ioee aeae iathoue i?ioeane, i?ecia/ai? aeey ?ica’ycoaaiiy ??aiyiue (15)
? (16). *a?ac iaiaiaaeai?noue iia?aoi?a aeai? ??aiyiiy ? iano?eeeie ?
iaiao?aeii canoiniaoaaoe ?aaoey?ecaoe?th. ?aaoey?eciaaia ??aiyiiy (15)
ia? aeae:

. (22)

Ooo ( — ia?aiao? ?aaoey?ecaoe??. Aaaaeaiiy a ciaiaiiee /eaia ((W2+1(
i?eaiaeeoue aei oiai, ui ia aenieeo /anoioao “aanyoueny” eiiiiiaioe
aeiaaeeiaeo iioeaie, ui iathoue, ye i?aaeei, aeniei/anoioiee neeaae
niaeo?a, ?, oei naiei i?aeaeuo?oueny no?ee?noue ?ica’yceo. Aeey
noai?aiiy aoaeoeaieo aeai?eoi?a I. ?. AEo?aaeueiaith ? I. ?. Eia?oiiaei
cai?iiiiiaaiee ianooiiee ?oa?aoe?eiee i?ioean:

, (23)

i?ecia/aiee aeey ?ica’yceo ??aiyiiy (22).

I?ioeane, iiae?ai? (18), (19) io?eiai? aeey an?o ia?a?aoiaaieo aeua
neooaoe?e ? iineoaeeee iniiaith aeey noai?aiiy aeai?eoi?a ?
ia/enethaaeueieo noai iiooeo ?ica’yce?a iaa?iaii? caaea/? a?aa?iao??? a
eean? aonoeiieo a?aieoeue, iioeiaeueieo o iao?eoe? L2, a i?ioeane oeio
(23) — aeey iiooeo ??oaiue, iioeiaeueieo o iao?eoe? N aeey noaei? oa
ci?iii? ii eaoa?ae? aonoeie oa??a. Aeey i?ioeaaeo?, aiaeia?/ieo (23),
io?eiai? ni?aa?aeiioaiiy aeey ioe?iee ia?aiao?a ?aaoey?ecaoe??, ui aea?
iiaeeea?noue eiai aaoiiaoe/iiai ?ic?aooieo a i?ioean? ia/eneaiue.

AEA*AIIss ?ICIIAe?EO AONOEIE A OA?AO I?E ?ICA’ssCOAAII? IAA?IAII?
CAAeA*? NO?OEOO?II? A?AA?IAO???

sse oaea cacia/aeiny, o iaa?iai?e caaea/? no?oeoo?ii? a?aa?iao???, e??i
aecia/aiiy aeeaei aonoeiieo a?aieoeue, ?nio? i?iaeaia ciaoiaeaeaiiy
aonoeie oa??a. O iaoiaeao i?aeai?o ?? ae??oothoue oeyoii ?ic?aooieo
aonoei o?e, ui ai?ieneiothoue oa?e. Iaeiae, i?e neeaaei?e aoaeia?,
e?euee?noue o?e aii?ieneiaoe?eii? eiino?oeoe?? iiaea neeaaeaoe cia/ia
/enei, ui i?eaiaeeoue aei nenoai e?i?eieo ??aiyiue aaeeei? ?ici??iino?.
Oe? nenoaie, ye i?aaeei, iiaaii iaoiiaeai? ?, ye iane?aeie, iano?ee?, ui
cao?oaeith? canoinoaaiiy iaoiae?a i?aeai?o a neeaaeieo aaieia?/ieo
neooaoe?yo. O e?eoa??aeueiiio i?aeoiae?, ui aeicaiey? i?aoethaaoe c
aaaaoiia?aiao?e/ieie iiaeaeyie, ?ica’ycoaaiiy e?i?eii? iaa?iaii?
caaea/?, ?aae?ciaaia a eiiieaenao “Iana”, cae?enith?oueny a ?aieao
n?oeiai? iiaeae? na?aaeiaeua. Ia?aaaaeaiiy no?oeoo?ii? iiaeae? a n?oeiao
i?eaiaeeoue aei ?o iaaaeaeaaoiino?. Aenia?eiaioe iieacaee, ui ??cieoeaaa
a?aa?oaoe?eia iiea, ui oi?aaey? i?eaaaeaieie aeua ?oa?aoe?eieie
i?ioeaaeo?aie, io?eiaia i?e aeei?enoaii? no?oeoo?ii? iiaeae? ? ??
n?oeiaiai aiaeiaa iiaeooue a?ae??ciyoeny ia 50 ? a?eueo a?aenioe?a, o
caeaaeiino? a?ae e?ieo aeene?aoecaoe?? n?oeiai? iiaeae?. ?ioa i?iaeaia
aeieea?, eiee iio??aii i?ea’ycaoe ?acoeueoaoe ?ica’yceo, io?eiaiiai aeey
n?oeiai? iiaeae? na?aaeiaeua, aei aeo?aeii? oa?oaaoi? iiaeae?. O ca’yceo
c oeei aeieea? iaiao?aei?noue iiooeo a ?aieao e?eoa??aeueiiai i?aeoiaeo
?iciiae?e?a aonoeie a oa?ao ?c aeei?enoaiiyi oa?oaaoeo iiaeaeae
na?aaeiaeu.

Aeey iaea?aeaiiy ??oaiue, iioeiaeueieo o iao?eoe? L2, ooieoe?iiae, ui
i?i?i?co?oueny, ia? aeae (6), aai, ia?aoiaey/e aei no?eae?a aonoeie ia
aonoeiieo a?aieoeyo, eiai aea?aaeaio iiaea aooe caienaiee o oaeee
niin?a:

(24)

?, oei naiei, aeey aeiaaeeo, eiee caaeaia eiiiiiaioa Uz iaia?a?aii ia
ieiuei? Z=0, ?ica’yco?oueny ianooiia caaea/a:

. (25)

??aiyiiy Yeea?a-Eaa?aiaea (3) aeey (25) aoaea aeaeyaeaoe:

(26)

??aiyiiy (26) ? e?i?eiei noiniaii ooieoe?? (, ? aeey ?? ciaoiaeaeaiiy
iiaeia nei?enoaoeny caaaeueiith noaiith, iienaiith ?ai?oa. I?aenoaaeii
(26) o ae?oaa c ??aiyiue (25) ?, c?iaeaoe aeaiaioa?i? ia?aoai?aiiy,
iaea?aeeii ianooiia e?i?eia ?ioaa?aeueia ??aiyiiy aeey aecia/aiiy (:

, (27)

— iieai a?ae ii/aoeiai? iiaeae?.

sseui o i?aa?e /anoei? (27) i?noyoueny iioeaee, oi, aeei?enoiaoth/e
?aea? iaoiae?a i?aeai?o, iiaeia iaea?aeaoe eiai “eaac??ica’ycie”. Aeae?,
i?aenoaaeaoe ciaeaeaia ( o ??aiyiiy (26), iaea?aeeii no?eaee aonoeie ((,
a iio?i ? aonoeie oa??a. Iaeiae ia oaeiio oeyoo oaeiae cono??/athoueny
cacia/ai? o?oaeiiu?, ine?eueee ?ici??i?noue ( ia? ?ici??i?noue
aei??yiiai a?aa?oaoe?eiiai iiey. Aeey o?eaei??ieo iiaeaeae e?euee?noue
oi/ie caaaeaiiy iiey iiaea aeinyaaoe aeanyoe?a oeny/, ui i?eaiaeeoue aei
iiaaii iaoiiaeaieo nenoai e?i?eieo ??aiyiue aaeeei? ?ici??iino?. A.I.
No?aoiaei iieacaii, ui ??aiyiiy oaeiai oeio ? iano?eeeie. Oiio o ?iaio?
i?eaaaeaiee ?ioee oeyo. Ine?eueee (26) ii nai?e no?oeoo?? iiae?aii
??aiyiiyi, io?eiaiei i?e aeine?aeaeaii? iiooeo ??oaiue o eean? aonoeiieo
a?aieoeue, oi aeey eiai ?ica’ycoaaiiy iiaeia canoinoaaoe ?oa?aoe?ei?
i?ioeane, iiae?ai? (18), (19). Oea oi?o?eo? ia/enethaaeuei? aeai?eoie ?
aeicaiey? ia?aianoe an? ?acoeueoaoe, io?eiai? i?e aeine?aeaeaii? aeaieo
i?ioean?a ia aeiaaeie iiooeo aonoeie a oa?ao. Aeey ??aiyiiy (26)
i?ioean ia? aeae:

, (28)

.

??aiyiiy, oeio (26), (27) ? ?oa?aoe?ei? i?ioeane, aiaeia?/i? (28),
io?eiai? aeey on?o aeae?a iia?aoi?a A i?e ??ciiio caaaeaii? eiiiiiaioe
Uz ? ?? a?aae??io?a.

I?e aea/aii? ?iciiae?e?a aonoeie a oa?ao, iaeaeeae/eo aei iaia?aae
caaeaieo a iao?eoe? N aeei?enoiao?oueny iiaeeo?eiaaiee i?ioean (23). A?i
aeaeyaea? oaeei

/eiii:

. (29)

O i?ioeaaeo?? (29), ia a?aei?io a?ae (26), ca ooieoe?? E, ?c yeeie
cae?enith?oueny cai?oea ??cieoeaaiai iiey, iaiao?aeii a?aoe ia aeeaeie
a?aieoeue f, a no?eaee aonoeie (( .

I?eaaaeai? ni?aa?aeiioaiiy (28) ? (29) aeicaieythoue noai?eoe aoaeoeai?
aeai?eoie iiooeo ?iciiae?e?a aonoeie a oa?ao o ?aieao oa?oaaoeo iiaeaeae
na?aaeiaeu.

Oei naiei, i?iaaaeai? aeine?aeaeaiiy aeicaieeee noai?eoe aaoiiaoeciaaio
nenoaio iiaoaeiae aaiaonoeiieo iiaeaeae aaieia?/ieo no?oeoo?, iniiaaio
ia a?oi? iaoiae?a ?ica’yceo e?i?eii? ? iae?i?eii? iaa?iaieo caaea/
no?oeoo?ii? a?aa?iao???, aeei?enoiaoth/e ?oa?aoe?ei? i?ioeaaeo?e,
iiae?ai? aeua i?eaaaeaiei ? aeai?eoie, ui aeieeaathoue ?c ieo. O ?iaio?
iaaiaeyoueny iie?ieia? aeai?eoie, ye? ?aae?cothoue iienai? i?ioeaaeo?e ?
? iniiaith noai?aiiy ia/enethaaeueieo noai.

I?AAI?CAOe?ss IA*ENETHAAEUeIEO I?IOeAAeO?

O aeaa? iienaia eiie?aoia i?aai?caoe?y ia/enethaaeueiiai i?ioeano, ui
?aae?co? ?ic?iaeai? aeai?eoie ? neeaaea? iniiao aieiaieo iiaeoe?a
aaoiiaoeciaaii? nenoaie. Caaaeueia no?oeoo?a ia/eneaiue neeaaea?oueny ?c
ianooiieo aoai?a:

1. Aaaaeaiiy ? oi?ioaaiiy ao?aeieo aeaieo.

2. Iiia?aaeiy ia?iaea ? ia?aoi?ioaaiiy aeaieo.

3. ?aae?caoe?y ?oa?aoe?eieo i?ioeaaeo?.

4. Aea?ae io?eiaieo ?acoeueoao?a.

Ia?oee, ae?oaee ? /aoaa?oee aoaie ia ? i?aaeiaoii aeine?aeaeaiue ? aiie
aeeiiai?, aacoth/enue ia iaea?eueo iioe?aieo i?aeoiaeao. Ae?oaee aoai
iaiao?aeiee aeey i?eaaaeaiiy aeaieo aei aeaeo, i?eeiyoiio i?e
iinoaiiaoe? caaea/?. Ia oeueiio aoai? cae?enith?oueny ?ic?aooiie ?
ae?aooaaiiy c caaeaiiai a?aa?oaoe?eiiai iiey aoaeoo, iaoiiaeaiiai
aieeaii ii??ae, ui caeyaathoue iica iaeanoth iiooeo ??oaiue, ia/eneaiiy
nea/e?a aonoeie ia a?aieoeyo, ia?aoi?ioaaiiy aaaiaeo ooieoe?e, ui
aecia/athoue oi/i?noue caaaeaiiy aeeaei aonoeiieo a?aieoeue ? no?eae?a
aonoeie ia ieo o aeo?aei?e iiaeae? ? o.i.

Ia o?aoueiio aoai? aeeiiothoueny iniiai? ?ic?aooiee, a iniiao yeeo eyaee
iaaaaeai? ?acoeueoaoe aeine?aeaeaiue. Oeae aoai iiaeia ?icaeoe ia
ianooii? i?aeaoaie:

1. ?ica’ycie i?yii? caaea/?.

2. Ia/eneaiiy ??cieoeaaiai iiey ? eiai niaeo?a.

3. Ia/eneaiiy ia?aiao??a ?aeaenaoe?? ? ?aaoey?ecaoe?? .

4. Aecia/aiiy /a?aiaiai iaaeeaeaiiy.

5. Ii??aiyiiy ??oaiiy c iayaieie iaiaaeaiiyie.

I?e ?ica’ycoaaii? i?yii? caaea/? iaeanoue ?ioaa?oaaiiy ?icaeaa?oueny ia
i?aeiaeano?, o iaaeao yeeo aeia?euei? ooieoe?? f, ((( (a, (b,(
cai?iythoueny ?oi?ie na?aaei?ie cia/aiiyie, a naiee ?ioaa?ae ii iaeano?
S — noiith ?ioaa?ae?a a?ae i?aeiaeanoae. Inoaii?, o naith /a?ao, ? aaea
aeaiaioa?ieie ? eaaei ia/eneththoueny ia AII. Oei naiei, iai?eeeaae,
i?yio caaea/o aeey aeiaaeeo ci?iii? ii ai?eciioae? aonoeie oa??a
aa?oeeaeueio iio?aeio a?aa?oaoe?eiiai iioaioe?aeo iiaeia ae?aceoe:

, (30)

— na?aaei? cia/aiiy oeeo aaee/ei a i?aeiaeanoyo. Ni?aa?aeiioaiiy,
aiaeia?/i? (30), ?aae?ciaai? o an?o iiaeoeyo nenoaie.

Ine?eueee oai?aoe/i? iiey ?ic?aoiaothoueny a oeo aea oi/eao, aea
caaaeaia aei??thaaia iiea, oi aecia/aiiy ??cieoeaaiai iiey
cae?enith?oueny i?yiei ae?aooaaiiyi iaeiiai c ?ioiai, a eiai niaeo? —
canoinoaaiiyi aeene?aoiiai ia?aoai?aiiy Oo?’?.

Ia?aiao? ?aeaenaoe?? ?ic?aoiao?oueny ca oi?ioeaie, aiaeia?/ieie (21),
aeei?enoiaoth/e i?e ia/eneaii? ?ioaa?ae?a iaoiaeeeo, canoiniaoaaio i?e
?ica’coaaii? i?yii? caaea/?. Ne?ae cacia/eoe, ui ca?eueoaiiy ia’?io
ia/eneaiue, iia’ycaia c aecia/aiiyi ia?aiao?a ?aeaenaoe??,
eiiiaino?oueny oei, ui i?e oeueiio ?ic?aoiaothoueny ianeae A a (21), ye?
aeei?enoiaothoueny iaaeae? i?e ia/eneaii? /a?aiaiai iaaeeaeaiiy, ui
aecia/a?oueny a oaeee niin?a:

(31)

sseui i?e aea/aii? ia?aiao??a iiaeae? (aeeaei a?aieoeue aai no?eae?a
aonoeie) a?aeii? ? caaeathoueny iaiaaeaiiy ia ?oi? cia/aiiy, oi ia
inoaiiueiio aoai? ia/eneaiue cae?enith?oueny ii??aiyiiy io?eiaieo
?acoeueoao?a c ieie ii ianooiiiio i?aaeeo ( iai?eeeaae, aeey aeeaei
a?aieoeue) :

(32)

a?aeiia?aeii ieaei? ? aa?oi? iaiaaeaiiy ia ooeai? aeeaeie. Oa ae naia
cae?enith?oueny ? i?e aecia/aii? no?eae?a aonoeie. ?oa?aoe?ei?
i?ioeaaeo?e cae?i/othoue ia/eneaiiy ii aeinyaiaiith caaeaii?
na?aaeiueieaaae?aoe/ii? iaa’ycee iie?a, ?? a?aae?aioo aai i?e aeeiiaii?
caaeaii? e?eueeino? e?ie?a ?oa?aoe??.

IA?AA??EA AEAI?EOI?A ? IA*ENETHAAEUeIEO NOAI IA OAI?AOE*IEO IIAeAEssO ?
?IC?IAEA IAOIAeEEE ?O CANOINOAAIIss

*a?ac neeaaei?noue ??aiyiue, ui aeinoaaeythoue ?ica’ycie iaa?iaiei
caaea/ai no?oeoo?ii? a?aa?iao???, oai?aoe/i? aeine?aeaeaiiy an?o ??
aniaeo?a iaiiaeeea?. ? ?aeeiei niiniaii ia?aa??ee i?eeiyoeo i?eiouaiue
oa ae?iaeaiiy iaoiaeeee canoinoaaiiy aaoiiaoeciaaieo eiiieaen?a i?ia?ai
? ?oi? aei?iaoaaiiy ia oai?aoe/ieo iiaeaeyo. O ?iaio? iaaiaeyoueny
?acoeueoaoe aenia?eiaio?a, ui iieacothoue caeaaei?noue ?ica’yce?a a?ae
ia?aiao??a ii/aoeiai? iiaeae?. Iieacaii, ui, yeui aaaiaa ooieoe?y
i?aaeeueii a?aeaeaa? nooi?iue ca’yceo ia?aiao??a iiaeae? ? ioeueiaiai
iaaeeaeaiiy, oi aeei?enoaiiy ?ic?iaeaieo iaoiae?a i?eaiaeeoue aei
?acoeueoao?a, aeecueeeo aei ?aaeueieo.

Ine?eueee a aei??thaaiiio a?aa?oaoe?eiiio iie? ? a iia?aoi?? i?yii?
caaea/? A iiaeooue i?noeoeny ??ciiai ?iaeo iioeaee, oi i?iaaaeai?
aenia?eiaioe ia aeine?aeaeaiiy no?eeino? ??oaiue, ui io?eiothoueny,
noiniaii iiieeie. I?e oeueiio ia?aaeaa/aeiny, ui aeo?aeia iiea
i?noeoue o?eueee aeiaaeeia? iioeaee c ioeueiaei iaoaiaoe/iei
niiae?aaiiyi, a iia?aoi? A — nenoaiaoe/i?, aeeeeeai? iaoi/iei caaaeaiiyi
aai aonoei oa??a aai aeeaei a?aieoeue. Ia i?eeeaaeao iieacaia no?ee?noue
?ic?iaeaieo aeai?eoi?a, a iiieeee a ?ica’yceao ia ia?aaa?oothoue
iaoi/i?noue caaaeaieo aaee/ei.

O iiia?aaei?o ?icae?eao ?icaeyaeaeanue iaoiaeeea iiooeo ?ica’yce?a
iioeiaeueieo aai o iao?eoe? i?inoi?o L2, aai N . Aea ia i?aeoeoe? /anoi
cono??/athoueny neooaoe??, eiee o aeo?aei?e iiaeae? ie?ai? a?aieoe? aai
no?eaee aonoeie iiaeooue i?noeoe aeiaaeeia? iioeaee, a ?io? —
nenoaiaoe/i?. ? ?ica’ycie, ciaeaeaiee c aeei?enoaiiyi i?ioeaaeo?,
iai?eeeaae (18), aoaea iioeiaeueiei noiniaii iaeieo a?aieoeue ?
iaiioeiaeueiei a?aeiinii ?ioeo. Aeey ae??oaiiy oe??? i?iaeaie
cai?iiiiiaaia iaoiaeeea iaeii/aniiai iiooeo ?ica’yce?a e?i?eieo ?
iae?i?eieo iaa?iaieo caaea/ no?oeoo?ii? a?aa?iao???, iioeiaeueieo ye o
iao?eoe? L2, oae ? N, aacoth/enue ia ?oa?aoe?eieo i?ioeanao, iiae?aieo
(18), (19), (23), (28), (29).

Ia?aiao?ii , ui iia’yco? i?ioeane (18) ? (23) neoaeeoue cia/aiiy
??cieoeaaiai iiey ? eiai niaeo?, a nai ?ica’ycie a ?aieao oeeo
i?ioeaaeo? cae?enith?oueny aeey eiaeii? c a?aieoeue ie?aii. Oiio
?aae?ciaaia iiaeeea?noue i?aai?caoe?? ia/eneaiue oaeei /eiii, ui i?e ?o
aeeiiaii? aeaye? a?aieoe? i?aeae?athoueny ii (18), a ?io? — ii (23). Oea
a?aeiineoueny iaa?oue aei ie?aieo o?aaiaio?a a?aieoeue. Aiaeia?/ia
i?ioeaaeo?a ?aae?ciaaia ? i?e iiooeo aonoeie a oa?ao ?c aeei?enoaiiyi
i?ioean?a oeio (28) ?(29). Oei naiei iaaea?oueny iiaeeea?noue a?eueo
aio/ei a?aoiaoaaoe ye?noue aaieiai-aaio?ce/ii? ?ioi?iaoe??, ia iniia?
yei? iiaoaeiaaia ii/aoeiaa iiaeaeue, ? iaea?aeoaaoe ?ica’ycee, iaea?eueo
aaeaeaaoi? ?e.

O i?eeiyoeo aeua iiaeaeyo ia?aaeaa/a?oueny, ui ooieoe?y, ui iieno?
aeeaeie aonoeiieo a?aieoeue — iaeiicia/ia. Iaeiae o neeaaeieo
aaieia?/ieo oiiaao oea iiaea ii?oooaaoeny ? aiia i?eeia? aaaaoicia/i?
cia/aiiy. O ca’yceo c oeei aeieea? iaiao?aei?noue ?ic?iaee iaoiaeeee
?ica’yceo iinoaaeaii? caaea/? o aeiaaeeo aaaaoicia/ieo ooieoe?e. Aiia
iieyaa? a oiio, ui aaaaoicia/i? a?aieoe? cai?iythoueny na???th
iaeiicia/ieo, ye? a iaeano? aaaaoicia/iino? iienothoue naith a?eeo
ooieoe??. ?icaeyiooi oaeiae iiaeeea?noue aaciina?aaeiueiai caaaeaiiy
aaaaoicia/ii? ooieoe?? ? iieacaia aea?aaeaioi?noue oeeo i?aeoiae?a.

Iiooe ??oaiiy e?i?eii? ? iae?i?eii? iaa?iaieo caaea/ o ?aieao
e?eoa??aeueiiai i?aeoiaeo ?aae?ciaaiee ?ai?oa a eiiieaenao “Iana” ?
“A?aieoey”. Iaeiae, ye a?aecia/aeiny aeua, eiiieaene “Iana” i?aoeththoue
o ?aieao n?oeiaeo iiaeaeae, ui ia aaeaeaaoi? no?oeoo?iei, i?eeiyoei o
eiiieaenao “A?aieoey”. Oea oo?oaeith? ?oi? ni?eueia aeei?enoaiiy aeey
iaeii/aniiai iiooeo ye aeeaei a?aieoeue, oae ? aonoei oa??a aeey
neeaaeieo iiaeaeae na?aaeiaeu. Aeei?enoaiiy ?o i?eaiaeeoue aei oiai, ui
ia ia?oiio aoai? iaiao?aeii cae?enithaaoe iiooe ?ica’yceo o?eueee c
aeei?enoaiiyi eiiieaen?a “A?aieoey”, oiio ui ia?ao?ae a?ae n?oeiaeo
iiaeaeae aei no?oeoo?ieo a aaaaoueio aeiaaeeao aeineoue neeaaeiee.
?ic?iaeai? iaoiaee ?ica’ycoaaiiy iaa?iaii? caaea/? a eean? ?iciiae?eo
aonoeie a oa?ao, ?aae?ciaai? c aeei?enoaiiyi i?ioeaaeo? oeio (28) ?
(29), aeathoue iiaeeea?noue ae??ooaaoe ci?oai? caaea/?. I?e oeueiio,
ine?eueee ?ica’ycee ooeathoueny a ?aieao ?aeeii? no?oeoo?ii? iiaeae?, ia
ia?oiio aoai? iiaeia aecia/aoe aai aeeaeie aonoeiieo a?aieoeue, aai
no?eaee aonoeie ia ieo, a aeae? — ?io? iaa?aeii? ia?aiao?e caeaaeii a?ae
oa?aeoa?o iayaii? ?ioi?iaoe??. I?e oeueiio nii/aoeo aa?oi ooeaoe
aaee/eie, caaaeai? iaioa oi/ii, ? coieiyoe ?oa?aoe?eiee i?ioean ii
aeinyaiaiith caaeaiiai a?aae?aioo iaa’ycee iie?a, a a ianooiiiio —
i?aeae?aoe ?io? ia?aiao?e. Ia/eneaiiy iiaeia i?aai?coaaoe ? oaeei /eiii,
uia ia iaeiiio e?ioe? ?oa?aoe?eieo i?ioeaaeo? cae?enithaaany iiooe
iaeieo ia?aiao??a, a ia ianooiiiio — ?ioeo, oiaoi iine?aeiaii i?aeae?aoe
no?eaee aonoeie ? aeeaeie aonoeiieo a?aieoeue.

Ia?aa??ea eiiieaen?a i?ia?ai ia oanoiaeo i?eeeaaeao aeicaieeea ae?iaeoe
iaoiaeeeo aeai?o ia?aiao??a ia/enethaaeueieo i?ioeaaeo? ? ?o
canoinoaaiiy aeey ?ioai?aoaoe?? iieueiaiai a?aa?iao?e/iiai iaoa??aeo.

AEI?IAOAAIIss ?IC?IAEAIEO EIIIEAEN?A I?IA?AI

IA IIEUeIAIIO IAOA??AE?

Aeei?enoaiiy ?ic?iaeaieo eiiieaen?a i?ia?ai aeey ?ioai?aoaoe??
iieueiaiai a?aa?iao?e/iiai iaoa??aeo aeicaiey? ae??ooaaoe ianooii?
caaaeaiiy:

1. Aeine?aeaeaiiy aaieia?/ii? aoaeiae iaeiaea/aieo ?aeii?a ? aeyaeaiiy
iiaeo ia’?eo?a.

2. Ooi/iaiiy aoaeiae ia?niaeoeaieo oa?eoi??e.

O aeaa? ia i?eeeaae? /enaeueiiai iiaeaethaaiiy e ia?iaee iieueiaiai
iaoa??aeo ia Aeieo???anuee?e ieiu? AeAeC iieacaia iiaeeea?noue aeyaeaiiy
iiaeo iiooeiaeo ia’?eo?a i?e iaaeinoaoiueiio ia’?i? ?ica?aeoaaeueieo
?ia?o, i?iaaaeaieo ?ioeie iaoiaeaie, Oae oeyoii /enaeueiiai
iiaeaethaaiiy iieacaia iiaeeea?noue aeyaeaiiy aioeeeeiaeueieo i?aeiyoue,
ia a?aeaeoeo o aeo?aei?e iiaeae?, iiaoaeiaai?e ii ?ic??aeaeai?e ia?aae?
i?io?e?a, ui ia i?ioiaeyoue /a?ac aeaio no?oeoo?o. I?e ia?iaoe?
iieueiaiai iaoa??aeo ii Aeieo???anuee?e ieiu? AeAeC oaeiae aeyaeaia
aioeeeeiaeueia no?oeoo?a, yea aoea i?aeoaa?aeaeaia ianooiieie
naeni?/ieie aeine?aeaeaiiyie. Oea aeicaiey? c?iaeoe aeniiaie i?i oa, ui
?ic?iaeai? eiiieaene aeathoue iiaeeea?noue aeine?aeaeoaaoe aaieia?/io
aoaeiao iaeiaea/aieo ?ioeie aaieiai-aaio?ce/ieie iaoiaeaie ae?eyiie ?
aeyaeyoe iia? ia’?eoe, ia?niaeoeai? ia ??ci? ei?eni? eiiaeeie.

Ae?oaa caaaeaiiy aeieea? o aeiaaeeao, eiee ia aeine?aeaeoaaieo
oa?eoi??yo ? ae?eyiee, aea aoaeoeai?noue ?ioeo aaio?ce/ieo iaoiae?a
iaaeniea. Oea a?aeiineoueny, iai?eeeaae, aei i?eooieiaeo cii nieyieo
o?e, ?iciianthaeaeaieo o AeAeC ? ?ioeo ?aa?iiao, aea ?acoeueoaoe
iniiaiiai aaio?ce/iiai iaoiaeo — naenii?ica?aeee, iinyoue iaiaeiicia/iee
oa?aeoa?. Ia i?eeeaae? ia?iaee iieueiaeo iaoa??ae?a ii AeAeC
(Aeieo???anueea ieiua, ?aeii *ooianueei — Iaaeaaae?anueeeo aeeneieaoe?e)
iieacaia iiaeeea?noue ooi/iaiiy aaieia?/ii? aoaeiae i?eooieiauo cii
nieyieo eoiie?a, aei yeeo i?eo?i/aii aaaaoi ?iaeiaeu iaooe ? aaco a
AeAeC. O ?iaio? i?eaaaeai? oaeiae ?acoeueoaoe ia?iaee iieueiaiai
iaoa??aeo, aeeiiai? c aeei?enoaiiyi iienaieo eiiieaen?a I.N. Ai?eniaei ?
N.?. Iaeneiiaith o Eii? ?anioae?oe?. Aiie iieacothoue i?aoeacaeaoi?noue
cai?iiiiiaaii? nenoaie a oiiaao no?oeoo?ieo na?aaeiaeu naii? neeaaeii?
aaieia?/ii? aoaeiae. Oaeiae i?eaaaeaiee i?eeeaae ia?iaee ii iaeiiio c
i?io?e?a o Aa?aioeiaiio ii??, aeeiiai? I.?. AEo?aaeueiaith. O aeaiiio
aeiaaeeo aeo?aeia iiaeaeue aoaeoaaeany i?e aeoaea iaoi/iiio caaaeaii? ye
aeeaei a?aieoeue eiiieaen?a, oae ?, iniaeeai, aonoei oa??a, oiio ui
aeai? i?i ieo ia?aianai? c i?eeaaeeo ae?eyiie noo?. *a?ac oae?
iaoi/iino? ??oaiiy cia/ii ci?ieei aeo?aeio iiaeaeue, oi/a ? caeeoeeiny a
?aieao i?eionoeieo aaieia?/ieo neooaoe?e.

AENIIAIE

Iniiai? iaoeia? ?acoeueoaoe caiaeyoueny, a iniiaiiio, aei ianooiiiai:

Noai?aia aaoiiaoeciaaia nenoaia aaiaonoeiiiai iiaeaethaaiiy neeaaeieo
aaieia?/ieo no?oeoo? iniiaaia ia iaoiaeao ? iaoiaeeeao ?ica’ycoaaiiy
iaa?iaieo caaei/ a?aa?iao???. Aeey oeueiai:

1. Aeei?enoiaoth/e ?aea? e?eoa??aeueiiai i?aeoiaeo io?eiai? ?ioaa?aeuei?
??aiyiiy, ui aeathoue iien aeaiaio?a c aeno?aiaeueieo eean?a, ye? ?
?ica’yceaie iaa?iaii? caaea/? no?oeoo?ii? a?aa?iao??? a eean? aonoeiieo
a?aieoeue, iioeiaeueieie a iao?eoe? L2. I?e oeueiio aonoeia oa??a
ci?ith?oueny ye o ai?eciioaeueiiio, oae ? o aa?oeeaeueiiio iai?yieao.
Aeai? ??aiyiiy aeaaaeai? aeey oiia, eiee eiiiiiaioa Uz caaeaia
iaia?a?aii a aeaye?e iaeano? aai a ie?aieo ?? oi/eao.

2. Aiaeia?/i? ?ioaa?aeuei? ??aiyiiy aeaaaeai? ? aeey a?aae?aio?a Uz —
Uxz, Uyz, Uzz, ui aea? iiaeeea?noue aea/aiiy a?aieoeue o aa?oi?o
/anoeiao ?ic??co, aei aonoeiieo iaiaeii??aeiinoae yeiai aeai? eiiiiiaioe
a?eueo /ooeea?, i?ae Uz. Aeai? ??aiyiiy iiaeooue aooe aeei?enoai? ? aeey
?ioai?aoaoe?? iaai?oieo iie?a o ?aieao ae?? oai?aie Ioanniia i?i ca’ycie
a?aa?oaoe?eiiai ? iaai?oiiai iioaioe?ae?a.

3. Oae ye io?eiai? ?ioaa?aeuei? ??aiyiiy aeoaea neeaaei?, iiaoaeiaai?
no?ee? ?oa?aoe?ei? i?ioeaaeo?e aeey ?oiueiai ?ica’ycoaaiiy. Aeiaaaeaii
ca?aei?noue oeeo i?ioeaaeo? ? aeaaaeai? ni?aa?aeiioaiiy aeey ?ic?aooieo
ia?aiao?a ?aeaenaoe??, ui caaacia/o? ?o ca?aei?noue ? iaeneiaeueio
oaeaee?noue ca?aeiino?. Aeiaaaeaii, ui ?oa?aoe?ei? i?ioeane aeathoue
?ica’yee caaea/, ui iienothoueny i?eaaaeaieie ?ioaa?aeueieie ??aiyiiyie.

4. Aeine?aeaeoth/e no?oeoo?i? iiaeae? na?aaeiaeua, aeaaaeai? e?i?ei?
?ioaa?aeuei? ??aiyiiy, ui aeathoue ?ica’ycie iaa?iaii? caaea/? a eean?
?iciiae?eo aonoei a oa?ao, iaeaeeae/? noiniaii iiia?aaeiuei caaaeaieo
a iao?eoe? L2. Aiie io?eiai? aeey aeiaaee?a caaaeaiiy eiiiiiaioe Uz ? ??
a?aae?aio?a. Iiaoaeiaaii ?oa?aoe?ei? i?ioeaaeo?e, ui caaacia/othoue
?ica’ycee io?eiaiei ??aiyiiyi ? ? iniiaith noai?aiiy aoaeoeaieo
ia/enethaaeueieo noai. Oea aeicaieeei, caeeoath/enue o ?aieao ?aeeii?
oa?oaaoi? iiaeae?, ae??ooaaoe e?i?eio ? iae?i?eio caaea/? no?oeoo?ii?
a?aa?iao??? aeey na?aaeiaeu neeaaeii? aaieia?/ii? aoaeiae.

5. Noai?aii aoaeoeai? ia/enethaaeuei? noaie, ui ?aae?cothoue ?ic?iaeai?
iaoiaeeth Aiie ia’?aeiai? a ?aeeio aaoiiaoeciaaio nenoaio ?ioai?aoaoe??
a?aa?iao?e/iiai iaoa??aeo aeey oa?oaaoeo iiaeaeae na?aaeiaeu.

6. Aeei?enoiaoth/e ?acoeueoaoe iiaeaethaaiiy e ia?iaee iieueiaiai
iaoa??aeo iaa?oioiaaii aea?? ia?aiao??a ia/enethaaeueieo noai ?
iaoiaeeea ?o canoinoaaiiy aeey ae??oaiiy ??cieo aaieia?/ieo caaaeaiue.

7. Noai?aii ? ?aae?ciaaia iaoiaeeea iaeii/aniiai iiooeo aeeaei aonoeiieo
a?aieoeue aai aonoei oa??a, iioeiaeueieo o iao?eeao L2 ? N.

8. O ?aieao no?oeoo?ieo iiaeaeae na?aaeiaeu cai?iiiiiaaia ? ?aae?ciaaia
iaoiaeeea iaeii/aniiai ?ica’ycoaaiiy e?i?eii? ? iae?i?eii? iaa?iaieo
caaaeaiue a?aa?iao???.

O ?acoeueoao? i?iaaaeaieo aeine?aeaeaiue ae??oaia aaaeeeaa iaoeiai —
oaoi?/ia i?iaeaia — noai?aia aaoiiaoeciaaia nenoaia, iniiaaia ia a?oi?
iaoiae?a ? iaoiaeee ?ioai?aoaoe?? a?aa?iao?e/ieo iaoa??ae?a aeey
oa?oaaoeo iiaeaeae na?aaeiaeu neeaaeii? aaieia?/ii? aoaeiae.

Aeienea c ia?ae?eo iioae?eiaaieo ?ia?o, o yeeo aeeeaaeai? iniiai?
?acoeueoaoe aeine?aeaeaiue.

1. I?ia?aiiiia iaania/aiea iino?iaiey o?aoia?iuo ieioiinoiuo iiaeaeae
aaieiae/aneeo iauaeoia. Nai?iee iao/iuo o?oaeia Iaoeeiiaeueiie ai?iie
aeaaeaiee Oe?aeiu. ?3, O2, no?. 230-234. a. Aeiai?iiao?iane, 1998 a.

2. ?aoaiea ia?aoiie caaea/e no?oeoo?iie a?aa?iao??? i?e aa?oeeaeueiii
a?aaeeaioa ieioiinoe a ieanoao.// Aeiiia?ae? IAI Oe?a?ie, na?.
Iaoaiaoeea, I?e?iaeiciaanoai, Oaoi?/i? iaoee,? 5, 1998 ?., n. 122 — 126.

3. ?aoaiea ia?aoiie iaeeiaeiie caaea/e no?oeoo?iie a?aa?iao??? i?e
ia?aiaiiie ieioiinoe ieanoia.// Aaioece/aneee aeo?iae. Eeaa, 1998, o.
20, (5, n. 48 — 56.

4. ?ica’ycie iae?i?eii? cai?ioii? caaea/? a?aa?iao??? i?e ci?ii?e
aonoei? ia’?eo?a aeey iiooeo iaeeo aaciaeo ?iaeiaeu.// Iao?aaeeoe?ei?
aia?ai?ano?ne ? aeieia?y Oe?a?ie. Ca??ea iaoeiaeo i?aoeue ?OAeOOIA.
Ee?a, Iaione?eio, 1996 ?., n. 83 — 91.

5. Canoinoaaiiy aeueo iio?aeieo a?aa?oaoe?eiiai iioaioe?aeo aeey iiooeo
eieaeueieo iaooiaaciaeo ia’?eo?a o aa?oi?e /anoei? aaieia?/iiai
?ic??co.// Iao?aaeeoe?ei? aia?ai?ano?ne ? aeieia?y Oe?a?ie. Ca??ea
iaoeiaeo i?aoeue ?OAeOOIA. Ee?a, Iaione?eio, 1996 ?., n. 91 — 93.

6. Aeai?eoi iiooeo aonoeie ieano?a a iaa?iai?e caaea/? no?oeoo?ii?
a?aa?iao???.// ?ica?aeea ? ?ic?iaea iaooiaeo ? aaciaeo ?iaeiaeu. Ca??iee
iaoeiaeo i?aoeue ?OAeOOIA. Aei 33, i. ?aaii — O?aie?anuee 1996 ?. n.
57-61. (ni?aaaoi? AEo?aaeueiaa I. ?.)

7. Aea?? ooieoe?iiaeo, ui i?i?i?co?oueny, i?e ?ica’ycoaaii? iaa?iaii?
caaea/? no?oeoo?ii? a?aa?iao???.// Aaieia?y ? aaio?i?y ai?th/eo eiiaeei
( a ae?ooe?) (ni?aaaoi? AEo?aaeueiaa I. ?.)

8.Eiiieaen iaoiaeia aeey eioa?i?aoaoeee aeaiiuo a?aae?acaaaeee//
Aaioece/aneee aeo?iae. Eeaa. 1983, O. 5, ? 5, n. 3-13. (niaaoi?u
Eia?oiia A. E., Aa?oieiiaaa A. A.)

9. I auai?a ia?aiao?a ?aeaenaoeee i?e ?aoaiee ia?aoiie caaea/e
a?aae?acaaaeee a eeanna ieioiinoiuo a?aieoe// Aaioece/aneee aeo?iae.-
Eeaa.- 1983.- O.5, ?2.- N.63-68. (niaaoi? Eia?oiia A. E.)

10. ?aoaiea ia?aoiie caaea/e a?aae?acaaaeee a eeanna ieioiinoiuo
a?aieoe n ia?aiaiiie ieioiinoueth ia eiioaeoa.- Eca. aocia.- Na?.
Aaieiaey e ?acaaaeea.- 1982.- ?9.- N. 108-117. (niaaoi? Eia?oiia A. E.)

11. Eiiieaen i?ia?aii ?aoaiey ia?aoiie caaea/e a?aae?acaaaeee a
eeanna ieioiinoiuo a?aieoe a ieiuaaeiii aa?eaioa “A?aieoea-3“ //I.
AINOAI NNN? ?50880001415, 1988 a. (niaaoi?u Eia?oiia A.E., Aeaaue E.E.,
Aieeaaa N.A.)

12. Eiiieaen i?ia?aii ?aoaiey ia?aoiie caaea/e a?aae?acaaaeee a
eeanna ieioiinoiuo a?aieoe a i?ioeeueiii aa?eaioa “A?aieoea-2 “// I.
AINOAI NNN? ?50870000035, 1986 a. ( niaaoi?u Eia?oiia A.E., Aeaaue E.E.,
Aieeaaa N.A.)

13. Eiiieaen i?ia?aii ?aoaiey ia?aoiie caaea/e a?aae?acaaaeee a eeanna
?ani?aaeaeaiey ieioiinoe a i?ioeeueiii aa?eaioa “Ianna — 2”// I. AINOAI
NNN? ?50870000036, 1986 a.( niaaoi?u Eia?oiia A.E., Aeaaue E.E., Aieeaaa
N.A.)

14. I iaoiaeeea ia?aaioee a?aaeoaoeeiiiuo iaoa?eaeia ii ?acaeaeo
“IANNA-3” aaoiiaoece?iaaiiie nenoaiu “Ea?iaou”.// ?acaaaeea e ?ac?aaioea
iaooyiuo e aaciauo ianoi?iaeaeaiee. Ca??iee iaoeiaeo i?aoeue ?OAeOOIA.
Eueaia. Aeua oeiea, 1988. Aui. 25, n. 32-37. (niaaoi?u Aaathe N. A.,
Noaiaithe A. I., Aieeaaa N. A.)

15. ?aoaiea ia?aoiie caaea/e a?aae?acaaaeee a eeanna ieioiinoiuo a?aieoe
i?e eeiaeiii aa?oeeaeueiii a?aaeeaioa ieioiinoe a ieanoao.// ?acaaaeea e
?ac?aaioea iaooyiuo e aaciauo ianoi?iaeaeaiee. Ca??iee iaoeiaeo i?aoeue
?OAeOOIA. Eueaia. Aeua oeiea, 1988. Aui. 25, n. 45-49. (niaaoi? Noyoeiia
A. I.)

16.I ?acoeueoao eioa?i?aoaoeee aeaiiuo a?aa?iao??? a i?aaeaeao
Aeieo?eaaneiai ooiea Aeiai?ianei-Aeiiaoeeie aiaaeeiu. // ?acaaaeea e
?ac?aaioea iaooyiuo e aaciauo ianoi?iaeaeaiee. Ca??iee iaoeiaeo i?aoeue
?OAeOOIA. Eueaia. Aeua oeiea, 1982. Aui. 19, n. 27-31. (niaaoi?u Aaathe
N. A., Aa?acianeee A. C., Eia?oiia A. E., Noaiaithe A. I.)

17.Aaieiai-aaioece/aneay iiaeaeue Oaiaecneiai iaooaiiniiai iaeaiaoieea
ii naeniino?aoea?aoe/aneei aeaiiui// Ecaanoey AI NNN?, na?.
aaieiae/aneay, N10, 1988 a. no? 137-150. (niaaoi?u Iaaeia I.Ae., Naeia
TH. A., Aiaiiaieia A. I., Aeiiia TH. E., Oienouo A. A.)

18. Iiene ?ani?aaeaeaiey ieioiinoe ieanoia a ia?aoiie caaea/a
no?oeoo?iie a?aa?iao???. //Nai?iee iao/iuo o?oaeia Iaoeeiiaeueiie ai?iie
aeaaeaiee Oe?aeiu. ? 6, oii 3, a. Aeiai?iiao?iane 1999a., n. 50-54.

19. Iaoiaeeea niaianoiiai ?aoaiey eeiaeiie e iaeeiaeiie ia?aoiuo caaea/
no?oeoo?iie a?aaeiao?ee.// Nai?iee iao/iuo o?oaeia Iaoeeiiaeueiie ai?iie
aeaaeaiee Oe?aeiu. ? 6, oii 3, a. Aeiai?iiao?iane 1999a., n. 54-57. (
niaaoi? AEo?aaeaaa I. E. )

20. Canoinoaaiiy aeueo iio?aeieo a?aa?oaoe?eiiai iioaioe?aeo i?e
aecia/aii? aonoeie ieano?a a iaa?iai?e caaea/? no?oeoo?ii?
a?aa?iao???. .// ?ica?aeea ? ?ic?iaea iaooiaeo ? aaciaeo ?iaeiaeu.
Ca??iee iaoeiaeo i?aoeue ?OAeOOIA. Aei 34, i. ?aaii — O?aie?anuee 1997
?., n. 82-87.

21. ?ica’ycie iaa?iaieo caaea/ no?oeoo?i? a?aa?iao??? ye iniiaa
iiaoaeiae aaiaonoeiieo iiaeaeae aaieia?/ieo ia’?eo?a. .// ?ica?aeea ?
?ic?iaea iaooia?o ? aaciaeo ?iaeiaeu. Ca??iee iaoeiaeo i?aoeue ?OAeOOIA.
Aei 34, i. ?aaii — O?aie?anuee 1997 ?. n. 170-175. (ni?aaaoi?
AEo?aaeueiaa I. ?.)

Aeaienthe ?. I. Aonoeiia iiaeaethaaiiy ??ciiai oeio aaieia?/ieo no?oeoo?
ia iniia? noai?aii? nenoaie ?ica’yceo iaa?iaieo caaea/
a?aa?iao???.-?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a aaieia?/ieo iaoe ca
niaoe?aeuei?noth 04.00.22 — aaio?ceea, ?inoeooo aaio?ceee ?i. N. E.
Noaio?ia IAI Oe?a?ie, Ee?a, 1999.

Caoeua?oueny 30 iaoeiaeo i?aoeue, o yeeo a?aeaeo? ?acoeueoaoe
oai?aoe/ieo, aenia?eiaioaeueieo ? i?aeoe/ieo aeine?aeaeaiue ii aaaeeea?e
iaoeiai-oaoi?/i?e i?iaeai? — ?ic?iaoe? aaoiiaoeciaaii? nenoaie iiaoaeiae
aonoeiieo iiaeaeae oa?oaaoeo aaieia?/ieo na?aaeiaeu neeaaeii? aoaeiae.
C oe??th iaoith ?ic?iaeaia a?oia iaoiae?a ?ica’yceo iaa?iaieo caaaeaiue
a?aa?iao??? aeey no?oeoo?ieo iiaeaeae na?aaeiaeu. Iaea?aeoaai? ?ica’ycee
iaea?eueo aeecuee? aei iiia?aaeiuei iiaoaeiaaieo iiaeaeae o
n?aaeiaeaaae?aoe/i?e ? ??aiii??i?e iao?eeao c a?aooaaiiyi iioeaee
?oiuei? iiaoaeiae. Ia iniia? noai?aieo ?oa?aoe?eieo i?ioean?a ?ic?iaeai?
ia/enethaaeuei? noaie, ?aae?ciaai? o aeae? i?ia?aiieo eiiieaen?a,
ia’?aeiaieo a aaoiiaoeciaaio nenoaio ?ioai?aoaoe?? a?aa?iao?e/ieo
iaoa??ae?a o ?aieao oa?oaaoeo iiaeaeae na?aaeiaeu. I?e oeueiio
ae??oothoueny caaaeaiiy aecia/aiiy aeeaei aonoeiieo a?aieoeue ? (aai)
aonoei oa??a. I?ia?aii? iiaeoe? i?ieoee aei?iaoaai? ia oanoiaiio ?
iieueiaiio iaoa??ae? c iaoith aeai?o ia?aiao??a ia/enethaaeueieo noai ?
iaa?oiooaaiiy iaoiaeeee ?o canoinoaaiiy.

Eeth/ia? neiaa: no?oeoo?ia a?aa?iao??y, iaa?iaia caaea/a, ooieoe?iiae,
ui i?i?i?co?oueny, aeno?aiaeueia caaea/a, ?ioaa?aeueia ??aiyiiy,
?oa?aoe?eiee i?ioean, aeai?eoi, i?ia?aia, aaoiiaoeciaaia nenoaia
?ioai?aoaoe??.

Denisyuk R.P. Density modeling of the different types of geological
structures based on created the systems of the decision of the inverse
problem of gravimetry. -Manuscript.

Thesis for a doctor’s degree by speciality 04.00.22 — geopphysics.- The
Institute of Geopnysics of National Academy of Science of Ukraine. Kyiv,
1999.

Is defended of 30 scientific works, in which are reflected results
theoretical, experimental and practical investigations as to important
scientific and technical problem — to the development of the automatic
system of the building of density the models of the layered geological
environments of complicated construction. With that end in view is
worked out the group of the methods of the solution of the inverse
problem of gravimetry for the structural models ofenvironments. Received
solution the most close to preliminarily constucted patterns in
mean-square and uniform metrics with allowance for error of their
building. On constucted iterative processes are worked out computational
schemes realized in the form program complexes, joint into the automatic
system of the interpretation of gravimetry materials in the context of
the layered models of environments. In this case is decided the task of
the determination of the depths of density boundaries and (or) of the
densities of layers. Program modules passed tests on tests and real
material with the purpose of the choice of the parameters of
computational schemes and the workingses of the methodology of their
use.

Key words: structural gravimetry, inverse problem, minimized functional,
integral equation, iterative process, algorithm, programme, the
automatic system of interpretation.

Aeaienthe ?. I. Ieioiinoiia iiaeaee?iaaiea ?acee/iuo oeiia aaieiae/aneeo
no?oeoo? ia iniiaa nicaeaiiie nenoaiu ?aoaiey ia?aoiuo caaea/
a?aaeiao?ee.-?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a aaieiae/aneeo iaoe ii
niaoeeaeueiinoe 04.00.22 — aaioeceea, Einoeooo aaioeceee ei. N. E.
Noaaioeia IAI Oe?aeiu, Eeaa, 1999.

Caueuaaony 30 iao/iuo o?oaeia, a eioi?uo io?aaeaiu ?acoeueoaou
oai?aoe/aneeo, yenia?eiaioaeueiuo e i?aeoe/aneeo enneaaeiaaiee ii
aaaeiie iao/ii-oaoie/aneie i?iaeaia — ?ac?aaioea aaoiiaoece?iaaiiie
nenoaiu iino?iaiey ieioiinoiuo iiaeaeae neienouo aaieiae/aneeo n?aae
neiaeiiai no?iaiey.Ieioiinoiua iiaeaee n?aae yaeythony iaeieie ec
iaeaieaa eioi?iaoeaiuo, oae eae a ?ani?aaeaeaiee ieioiinoe io?aaeaaony
eae ieia?aeueiue ninoaa ii?iae, neaaathueo ?ac?ac, oae e eo
aaieiae/aneia no?iaiea. Neienouie iiaeaeyie iiaeii aii?ieneie?iaaoue
aaieiae/aneea iauaeou, eioi?ua yaeythony i?aaeiaoii enneaaeiaaiee a
iaooyiie aaioeceea, eiaeaia?iie aaieiaee e aeae?iaaieiaee. Eo oaeaea
iiaeii eniieueciaaoue i?e eco/aiee inaaei/iiai /aoea ieaooi?iaiiuo
iaeanoae, aioo?aiiaai no?iaiey Caiee e ae?oaeo caaea/ao, aaea
aaieiae/aneoth n?aaeo iiaeii i?aaenoaaeoue iaai?ii neiaa ?acee/iie
ieioiinoe. A neienouo ieioiinoiuo iiaeaeyo eneiiuie ia?aiao?aie
yaeythony eae ieioiinoe ioaeaeueiuo ieanoia, oae e oa?aeoa? iiaaaeaiey e
aeoaeiu a?aieoe eo ?acaeaea, ia eioi?uo ooieoeee ieioiinoe eee eo
aa?oeeaeueiua a?aaeeaiou oa?iyo ?ac?ua. A iniiao nenoaiu iieiaeaia
?ac?aaioaiiay a?oiia iaoiaeia e iaoiaeee ?aoaiey ia?aoiuo caaea/
a?aaeiao?ee aeey no?oeoo?iuo iiaeaeae n?aae. Iaoiaeu iicaieytho aeaei e
iieii o/eouaaoue ai?ei?ioth eioi?iaoeeth i no?iaiee aaieiae/aneeo
iauaeoia, iieo/aiioth n eniieueciaaieai ae?oaeo aaieiai-aaioece/aneeo
iaoiaeia. Aeaiiay eioi?iaoeey caeeaaeuaaaony a ia?aiia/aeueioth
aaiieioiinoioth iiaeaeue a aeaea cia/aiee eneiiuo ia?aiao?ia aeoaei
a?aieoe eee ieioiinoae ieanoia) e ioeaiee iia?aoiinoe iino?iaiey yoeo
ia?aiao?ia. Oai naiui iiyaeyaony aiciiaeiinoue o/eouaaoue ia oieueei
oaeoe/aneea aeaiiua, ii e iiuo aaioeceea-eioa?i?aoaoi?a, o/anoaothuaai a
iino?iaiee yoie iiaeaee. Iieo/aaiua ?aoaiey iaeaieaa aeecee e
i?aaeaa?eoaeueii iino?iaiiui iiaeaeyi a n?aaeiaeaaae?aoe/aneie e
?aaiiia?iie iao?eeao n o/aoii iia?aoiinoe eo iino?iaiey, /oi aeaeaao eo
aaieiae/anee niaea?aeaoaeueiuie. Eneiiua ia?aiao?u, ia caaeneii io eo
eiee/anoaa, ia?aiao?eciaaiu ooieoeeae Eaa?aiaea, eiathuae ?acia?iinoue
iaaethaeaiiiai iiey. Yoi aeaao aiciiaeiinoue ?aaioaoue a ?aieao
iiiaiia?aiao?e/aneeo iiaeaeae e n eo iiiiuueth aaeaeaaoii iienuaaoue
n?aaeu naiiai neiaeiiai no?iaiey.A ?anniao?eaaaiuo caaea/ao ieioiinoue
ioaeaeueiuo ieanoia iiaeao i?eieiaoue iinoiyiiua cia/aiey, auoue
ia?aiaiiie ii eaoa?aee, a oaeaea eciaiyoueny eae a ai?eciioaeueiii, oae
e a aa?oeeaeueiii iai?aaeaieyo. ?anniio?aiu neo/ae, eiaaea i?e ?aoaiee
ia?aoiuo caaea/ eniieuecoaony aa?oeeaeueiay i?iecaiaeiay
a?aaeoaoeeiiiiai iioaioeeaea, caaeaiiay iai?a?uaii ia ai?eciioaeueiie
ieineinoe eee ia i?iecaiaeueiii ?aeueaoa, a oaeaea a aeene?aoiuo oi/eao
yoeo iiaa?oiinoae. Aeey nicaeaiey ieioiinoiuo iiaeaeae aaieiae/aneeo
iauaeoia, caeaaathueo ia iaaieueoeo aeoaeiao e eiathueo iacia/eoaeueiua
?acia?u, ?anniio?aiu neo/ae ?aoaiey oaeeo caaea/ n eniieueciaaieai
a?aaeeaioia aa?oeeaeueiie i?iecaiaeiie a?aaeoaoeeiiiiai iioaioeeaea.
Iieo/aaiua ?aoaiey au?aaeaiu a aeaea eeiaeiuo e iaeeiaeiuo eioaa?aeueiuo
o?aaiaiee, ?aoaiea eioi?uo yaeyaony iaonoie/eaui. Aeey /eneaiiiai
?aoaiey iieo/aiiuo o?aaiaiee neiino?oe?iaaiu onoie/eaua eoa?aoeeiiiua
i?ioeaaeo?u. I?iaaaeaiu oai?aoe/aneea enneaaeiaaiey ii auai?o ia?aiao?ia
?aeaenaoeee yoeo i?ioeannia, eioi?ua iaania/eaatho iaeneiaeueioth
nei?inoue eo noiaeeiinoe. Ia iniiaa nicaeaiiuo i?ioeannia ?ac?aaioaiu
au/eneeoaeueiua noaiu, ?aaeeciaaiiua a aeaea aeaoo i?ia?aiiiuo
eiiieaenia, iauaaeeiaiiuo a aaoiiaoece?iaaiioth nenoaio eioa?i?aoaoeee
a?aaeiao?e/aneeo iaoa?eaeia a ?aieao neienouo iiaeaeae n?aae. I?e yoii
?aoathony caaea/e ii?aaeaeaiey aeoaei ieioiinoiuo a?aieoe e (eee)
ieioiinoae ieanoia. I?ia?aiiiua iiaeoee i?ioee ii?iaiaaiea ia oanoiaii e
iieaaii iaoa?eaea n oeaeueth auai?a ia?aiao?ia au/eneeoaeueiuo noai e
au?aaioee iaoiaeeee eo i?eiaiaiey. Ia oanoiauo i?eia?ao iieacaia
onoie/eainoue neiino?oe?iaaiiuo aeai?eoiia ii ioiioaieth e neo/aeiui e
nenoaiaoe/aneei iia?aoiinoyi. ?ac?aaioaia iaoiaeeea iino?iaiey
aaieioiinoiuo iiaeaeae, a eioi?uo iaeie ia?aiao?u aeeaeaeoea e
i?aaeaa?eoaeueii caaeaiiui a n?aaeiaeaaae?aoe/aneie iao?eea, ae?oaea — a
?aaiiia?iie. Ia iniiaa nicaeaiiuo eiiieaenia nicaeaia iaoiaeeea iienea a
?aieao aaeeiie no?oeoo?iie iiaeaee eae aeoaei ieioiinoiuo a?aieoe, oae e
?ani?aaeaeaiee ieioiinoe a ieanoao. I?e ia?aaioea iieaaiai iaoa?eaea
enneaaeiaaeenue aiciiaeiinoe eiiieaenia i?ia?aii aeey ?aoaiey caaea/
auyaeaiey iiauo iieneiauo iauaeoia, ia?niaeoeaiuo ia ?aciua iieaciua
eneiiaaiua, a oaeaea caaea/a ooi/iaiey aaieiae/aneiai no?iaiey
ioaeaeueiuo o/anoeia, ia eioi?uo aeaiiua ae?oaeo aaieiai aaioece/aneeo
iaoiaeia ii ?aciui i?e/eiai yaeythony iaeioi?iaoeaiuie. Oae iieacaia
aiciiaeiinoue, eniieuecoy nicaeaiiia i?a?aiiiia iaania/aiea, auyaeyoue
aioeeeeiaeueiua eiaooee, ia?niaeoeaiua ia iaooue eee aac ia ieiuaaeyo,
aaea ae?oaea aaioece/aneea iaoiaeu, iai?eia? naenii?acaaaeea,
i?iiaaaeaiu ii ?aaeeie naoe i?ioeeae, a oaeaea ooi/iyoue no?iaiey oaeeo
neiaeiuo aaieiae/aneeo iauaeoia, eae nieyiua eoiiea. Ia?aaioea
iieaaiai iaoa?eaea n iiiiuueth ?ac?aaioaiiuo eiiieaenia iieacaea eo
yooaeoeaiinoue e aiciiaeiinoue i?eiaiaiey a i?iecaiaenoaaiiuo
i?aaiecaoeeyo aeey ?aoaiey ?acee/iuo aaieiae/aneeo caaea/. I?ia?aiiiua
eiiieaenu ia?aaeaiu a ?yae i?iecaiaenoaaiiuo e iao/iuo i?aaiecaoeee e a
AinOAI NNN?.

Eeth/aaua neiaa: no?oeoo?iay a?aaeiao?ey, ia?aoiay caaea/a, ooieoeey
Eaa?aiaea, ieieiece?oaiue ooieoeeiiae, yeno?aiaeueiay caaea/a,
eioaa?aeueiia o?aaiaiea, eoa?aoeeiiiue i?ioeann, aeai?eoi, i?ia?aiia,
aaoiiaoece?iaaiiay nenoaia, eioa?i?aoaoeey.

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