.

Автоматизована система контролю та обліку зерна на підприємствах зернопереробної промисловості: Автореф. дис… канд. техн. наук / Д.В. Калашнік, Кіро

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E??iaia?aaenueeee aea?aeaaiee oaoi?*iee oi?aa?neoao

EAEAOI?E AeIEO?I A?EOI?IAE*

OAeE 621.317.39

Aaoiiaoeciaaia nenoaia eiio?ieth

oa iae?eo ca?ia ia i?aei?e?inoaao

ca?iiia?a?iaii? i?iieneiaino?

Niaoe?aeuei?noue 05.13.07 – aaoiiaoecaoe?y oaoiieia?/ieo i?ioean?a

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaith

eaiaeeaeaoa oaoi?/ieo iaoe

E??iaia?aae – 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?? i?ia?aiiiai caaacia/aiiy a
E??iaia?aaenueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao? I?i?noa?noaa
ina?oe Oe?a?ie.

Iaoeiaee ea??aiee: aeieoi? oaoi?/ieo iaoe, i?ioani?,

caneoaeaiee i?aoe?aiee ina?oe Oe?a?ie

Neaei?aiei Aieiaeeie? Aieiaeeie?iae/,

E??iaia?aaenueeee aea?aeaaiee oaoi?/iee oi?aa?neoao,

caa?aeoaa/ eaoaae?e i?ia?aiiiai caaacia/aiiy.

Io?oe?ei? iiiiaioe: aeieoi? oaoi?/ieo iaoe, i?ioani?,

caneoaeaiee ae?y/ iaoee ? oaoi?ee Oe?a?ie

Ia?oeiaiei ?aai ?aaiiae/,

Iaoe?iiaeueiee aa?a?iee oi?aa?neoao Oe?a?ie,

caa?aeoaa/ eaoaae?e aaoiiaoecaoe??

n?euenueeiainiiaea?nueeiai ae?iaieoeoaa;

eaiaeeaeao oaoi?/ieo iaoe, i?ioani?

Iauaiei Aaneeue Oaaei?iae/,

E??iaia?aaenueeee aea?aeaaiee

oaoi?/iee oi?aa?neoao,

caa?aeoaa/ eaoaae?e aaoiiaoecaoe?? ae?iaie/eo

i?ioean?a.

I?ia?aeia onoaiiaa: Oe?a?inueeee aea?aeaaiee oi?aa?neoao oa?/iaeo

oaoiieia?e I?i?noa?noaa ina?oe Oe?a?ie,

eaoaae?a aaoiiaoecaoe?? oa eiii’thoa?ii–

?ioaa?iaaieo oaoiieia?e, i. Ee?a.

Caoeno a?aeaoaeaoueny 11 aa?aniy 1999 ?. i 1000 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee E 23.073.01 a E??iaia?aaenueeiio
aea?aeaaiiio oaoi?/iiio oi?aa?neoao? ca aae?anith:316050, i.
E??iaia?aae, i?. I?aaaee, 70a.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? E??iaia?aaenueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo ca aae?anith:316050, i.
E??iaia?aae,

i?. I?aaaee, 70a.

Aaoi?aoa?ao ?ic?neaiee “6” na?iiy 1999 ?.

A/aiee nae?aoa?

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

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio Eae?/ A.I.

Caaaeueia oa?aeoa?enoeea ?iaioe

Aeooaeuei?noue oaie. Ai?iaaaeaeaiiy eiiieaenieo cania?a aaoiiaoecaoe??
ia i?aei?e?inoaao ca?iiia?a?iaii? i?iieneiaino? aeicaiey? cia/ii
nei?ioeoe aeo?aoe ? i?aeaeueoe aeo?ae aioiai? i?iaeoeoe??, a oaeiae
i?aeaeueoe i?iaeoeoeai?noue oa iie?ioeoe oiiae i?aoe?.

Iaeiei ?c i?ioean?a, ye? iaiao?aeii aaoiiaoecoaaoe, ? eiio?ieue oa
iae?e ca?ia, yeee cae?enith?oueny ca aeiiiiiaith aaaiaeicoth/iai
iaeaaeiaiiy. Aaaiaa oa aeicoth/a iaeaaeiaiiy, ui aeioneathoueny
a?o/eciyiith i?iieneia?noth, aeeiio?oueny c aeei?enoaiiyi ?o/ii? i?aoe?
? ia i?aeaea?oueny aa?aaaooaaiith a ?aeeio ?ioi?iaoe?eii-ea?oth/o
nenoaio i?aei?e?inoaa, ui oneeaaeith? aaoiiaoecaoe?th oaoiieia?/iiai
i?ioeano. Aiane?aeie oeueiai ia nai?ia??-ia?aae? “Iniauaiiy i?aei?e?inoa
aaeoc? no/aniei aaaiaeicoth/ei iaeaaeiaiiyi” (3-5 eeiiy 1996?. i.
Euea?a) aoei i?eeiyoi ??oaiiy ia?aeoe ia oaiciiao?e/i? nenoaie aei??o
aaae c aaoiiaoe/iei cai?iaaaeaeaiiyi ?ioi?iaoe?? a AII, ui ?noioii
i?aeaeuo? aeinoia??i?noue ?ioi?iaoe?? ? aeicaiey? canoinoaaoe eiiieaenio
aaoiiaoecaoe?th oaoiieia?/iiai i?ioeano ia i?aei?e?inoa?. O ca’yceo c
oeei aeieeea i?iaeaia ?ic?iaee i?eno?ith niieo/aiiy aei??thaaeueieo
ia?aoai?thaa/?a aaaiaeicoth/iai iaeaaeiaiiy c ea?oth/ith AII. ?nioth/?
i?eno?i? aei??thaaiiy a oe?eiio ia a?aeiia?aeathoue oaoiieia?/iei ?
aeiiii?/iei iieacieeai, ye? iaiao?aei? aeey aaoiiaoecaoe?? oaoiieia?/ieo
i?ioean?a aeicoaaiiy ? aei??thaaiiy aaae ia aenieiio no/aniiio ??ai?.
I?iaeaia oneeaaeith?oueny oei, ui i?aei?e?inoaai ca?iiia?a?iaii?
i?iieneiaino? aeanoeaa oeaio?ae?ciaaia nenoaia ea?oaaiiy, oiio
aei??thaaeuei? ia?aoai?thaa/? ciaoiaeyoueny ia cia/i?e a?aenoai? a?ae
i?eno?i?a cai?o ? ia?iaee ?ioi?iaoe??. A ?acoeueoao? oeueiai ia ao?ae
i?eno?ith aei??thaaiiy iaaeoiaeeoue neaiae i?e i?aeaeuaiiio ??ai?
caaaaee.

?nioth/? oaoi?/i? ??oaiiy aeei?enoiaothoue aei??thaaeuei? i?aeneethaa/?
aai i?eno?i? ia?aoai?aiiy ?ioi?iaoe?? aaciina?aaeiuei a i?noe? ooai?aii?
aiaeiaiaiai neaiaeo. Oae? ??oaiiy ia iiaeia i?eeiyoe iioeiaeueieie c
iiaeyaeo ye aaoiiaoecaoe?? i?ioeano, oae ? aeiiii?/ieo oa
aenieoaoaoe?eieo ni?iiiaeiinoae. E??i oiai, aiie ia a?aeiia?aeathoue
aeiiaai aeaooiiaaaciaee.

Aeoiaey/e c oeueiai, aeieea? iaiao?aei?noue ?ic?iaee i?eno?ith
niieo/aiiy oaiciiao?e/ieo aei??thaaeueieo ia?aoai?thaa/?a c ea?oth/eie
caniaaie ia/enethaaeueii? oaoi?ee c aenieiaoaeoeaiei iiaeaaeaiiyi caaaae
a aei??thaaeueiiio eaiae?, yeee caaacia/eoue iaea?aeaiiy iioeiaeueieo
aeeiai?/ieo ioe?iie ei?eniiai neaiaeo.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie

Aeena?oaoe?y aeeiiaia ia i?aenoaa? aea?aeaaii? iaoeiai-oaoi?/ii?
i?ia?aie Oe?a?ie ii i??i?eoaoiiio iai?yieo iaoeiai-oaoi?/iiai i?ia?ano
6.1. “No/ani? ?ioi?iaoe?ei? oaoiieia?? a noai?aii? ?ioaa?iaaieo
ae?iaie/eo eiiieaen?a”. Aeine?aeaeaiiy i?iaaaeai? ca?aeii c oaiaoe/iei
ieaiii iaoeiai-aeine?aeieo ?ia?o E??iaia?aaenueeiai ?inoeoooo
n?euenueeiainiiaea?nueeiai iaoeiiaoaeoaaiiy ii ainiaeiaia??i?e oai?
?62102.

Iaoa ? caaea/? aeine?aeaeaiiy

Iaoith aeena?oaoe?eii? ?iaioe ? noai?aiiy aaoiiaoeciaaieo nenoai
eiio?ieth oa iae?eo ca?ia ia i?aei?e?inoaao ca?iiia?a?iaii?
i?iieneiaino? ia iniia? oai?aoe/ieo aeine?aeaeaiue ii ?aae?caoe??
e?i?eieo ianoaoe?iia?ieo nenoai c aeei?enoaiiyi ?o aaeaeaaoiino?
iae?i?eiei noaoe?iia?iei nenoaiai, a oaeiae aecia/aiiy ia?aiao??a
aaeaeaaoii? nenoaie oa ae??oaiiy caaea/? aneiioioe/ii? ca?aeiino?
cacia/aieo nenoai ca ?aooiie aeiiiaiaiiy ?o oiiaith ?iaa??aioiino? ?
iiaoaeia? ii ?acoeueoaoai aeine?aeaeaiue i?eno?ith niieo/aiiy
oaiciaeao/ee?a c ea?oth/eie caniaaie ia/enethaaeueii? oaoi?ee. Aeey
aeinyaiaiiy iinoaaeaii? iaoe iaiao?aeii ae??oeoe oae? caaea/?:

– aecia/aiiy ia?aiao??a aoi?eiieo ia?aoai?thaa/?a c? ci?iieie a /an?
ia?aiao?aie ia iniia? ?oiuei? aaeaeaaoiino? iae?i?eiei noaoe?iia?iei
nenoaiai aeey iaea?aeaiiy iioeiaeueieo aeeiai?/ieo ioe?iie
oaiciiao?e/ieo aei??thaaeueieo ia?aoai?thaa/?a;

– iiaeaaeaiiy aioo??oi?o ooi?a aoi?eiiiai ia?aoai?thaa/a ia iniia?
oai??? ?iaa??aioiino?;

– noai?aiiy i?eno?ith aeey niieo/aiiy oaiciiao?e/ieo aei??thaaeueieo
ia?aoai?thaa/?a c ea?oth/ith AII ? ?aae?caoe?y aaoiiaoeciaaii? nenoaie
eiio?ieth oa iae?eo ca?ia.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a

A ?iaio? io?eiai? ianooii? iaoeia? ?acoeueoaoe:

– cai?iiiiiaaii niin?a aecia/aiiy ia?aiao??a iae?i?eii? noaoe?iia?ii?
nenoaie ia iniia? iaoiaeo aa?iii?eii? e?iaa?ecaoe??;

– ia iniia? oai??? ?iaa??aioiino? cai?iiiiiaaii niin?a, yeee aeicaiey?
iiaeaaeyoe ooie, ui aeieeathoue a caieioo?e nenoai? aoi?eiiiai
ia?aoai?thaa/a i?e eiai aia?aoi?e ?aae?caoe??.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a

Cai?iiiiiaaii aia?aoio ?aae?caoe?th aoi?eiiiai ia?aoai?thaa/a aeey
aei??thaaiiy aeaeo?e/ieo neaiae?a oaiciiao?e/ieo aei??thaaeueieo
ia?aoai?thaa/?a i?e i?aeaeuaiiio ??ai? ciai?oi?o caaaae, a oaeiae c
iiaeaaeaiiyi eiai aioo??oi?o ooi?a, aeei?enoiaoth/e yeee, noai?aii
aaoiiaoeciaaio nenoaio eiio?ieth oa iae?eo ca?ia a neeaae? oi?o?eiaaii?
nenoaie aaoiiaoecaoe?? oaoiieia?/ieo i?ioean?a ia E??iaia?aaenueeiio
eiia?iao? oe?aii?iaeoeo?a ?2.

Iniaenoee aianie caeiaoaa/a

O iaoeiaeo i?aoeyo ia?niiaeueii caeiaoaa/o iaeaaeaoue oae? iaoa??aee:

– cai?iiiiiaaia aia?aoia ?aae?caoe?y i?eno?ith aeey aei??thaaiiy
aeaeo?e/ieo neaiae?a i?e i?aeaeuaiiio ??ai? caaaae;

– cai?iiiiiaaiee ?iaeaia?iee iaoiae aecia/aiiy ia?aiao??a iae?i?eieo
noaoe?iia?ieo nenoai, caniiaaiee ia iaoiae? aa?iii?eii? e?iaa?ecaoe??
aeey aeei?enoaiiy ?o i?e aia?aoi?e ?aae?caoe?? aoi?eiieo
ia?aoai?thaa/?a;

– cai?iiiiiaaii aoi?eiiee ia?aoai?thaa/ aeey aenieiaoaeoeaiiai
aei??thaaiiy neaiae?a oaiciiao?e/ieo aei??thaaeueieo ia?aoai?thaa/?a c
iiaeaaeaiiy eiai aioo??oi?o ooi?a ia iniia? oai??? ?iaa??aioiino?.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??

Iniiai? iieiaeaiiy ? ?acoeueoaoe aoee aena?oeai? e iaea?aeaee noaaeaiiy
ia iaoeiaeo eiioa?aioe?yo aeeeaaea/?a, ani??aio?a ? ni?a?ia?oiee?a
E??iaia?aaenueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo (1997…1999 ??.),
V Anaoe?a?inuee?e iaoeia?e eiioa?aioe?? “Canoinoaaiiy ia/enethaaeueii?
oaoi?ee, iaoaiaoe/iiai iiaeaethaaiiy oa iaoaiaoe/ieo iaoiae?a o iaoeiaeo
aeine?aeaeaiiyo” ( i. Euea?a, aa?anaiue1998 ?.).

Ioae?eaoe??

Iniiai? iieiaeaiiy aeena?oaoe?? iioae?eiaai? a 3 noaooyo ? a iaeiiio
??oaii? i?i aeaea/o iaoaioo ia aeiao?ae.

No?oeoo?a oa ianya ?iaioe

Aeena?oaoe?eia ?iaioa neeaaea?oueny c anooio, i’yoe ?icae?e?a,
aeniiae?a, nieneo aeei?enoaieo aeaea?ae oa o?noueio aeiaeaoe?a.
Caaaeueiee ianya aeena?oaoe?? 160 noi??iie, 44 ?enoie?a, 4 oaaeeoeue.
Nienie aeei?enoaieo aeaea?ae neeaaea?oueny c 103 iaeiaioaaiue.

CI?NO ?IAIOE

O anooi? iaa?oioiao?oueny aeooaeuei?noue oaie aeena?oaoe??, iieacaii ??
iaoeiaa ? i?eeeaaeia ni?yioaaiiy, noi?ioeueiaai? iaoa ? caaea/?, ye?
iaiao?aeii ae??oeoe aeey ?? aeinyaiaiiy. Iieacaii ca’ycie ?iaioe c
iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie.

Ia?oee ?icae?e. Iaeyae e?oa?aoo?e c aaoiiaoeciaaieo nenoai aei??thaaiiy
? oi?aae?iiy aaaiaeicoth/eie i?eno?iyie oa aea?? iai?yieo
aeine?aeaeaiiy.

I?iaaaeaii iaeyae e?oa?aoo?e c aaoiiaoeciaaieo nenoai aei??thaaiiy ?
oi?aae?iiy aaaiaeicoth/ei iaeaaeiaiiyi oa oeyo?a i?aeaeuaiiy ?o
caaaaeino?eeino?.

Aiae?c iieacaa, ui ?nioth/? aei??thaaeueii-ea?oth/? i?eno?i?
aaaiaeicoth/iai iaeaaeiaiiy ? niiniae i?aeaeuaiiy ?o caaaaeino?eeino? ia
caaacia/othoue iaiao?aeio oi/i?noue aei??thaaiiy. Aeei?enoaiiy aeaieo
i?eno?i?a no?eio?oueny ?yaeii neeaaeieo oiia aenieoaoaoe??, ye? i?enooi?
ia i?aei?e?inoaao ca?iiia?iaii? i?iieneiaino? . sse iieacaee
aeine?aeaeaiiy, niaeo? oeoeooaoe?eieo caaaae, ye? i?enooi? ia aeaieo
i?aei?e?inoaao, ? ei?eniiai neaiaeo ciaoiaeyoueny a iaei?e /anoioi?e
iaeano?. I?e oeueiio ni?aa?aeiioaiiy neaiae/ooi iaioa iaeeieoe?.

O ca’yceo c oeei noaaeoueny caaea/a i?iaaaeaiiy oai?aoe/ieo
aeine?aeaeaiue iaoiae?a aecia/aiiy aeeiai?/ieo ioe?iie oaiciiao?e/ieo
aei??thaaeueieo ia?aoai?thaa/?a i?e aaeeeiio ??ai? caaaaee ? ?ic?iaee ia
?o iniia? i?eno?ith niieo/aiiy c i?e?icaniaaie ea?oth/i?
ia/enethaaeueii? oaoi?ee aeey iiaoaeiae aaoiiaoeciaaii? nenoaie
eiio?ieth oa iae?eo ca?ia.

Ae?oaee ?icae?e. Caaaeueia iaoiaeeea ? oai?aoe/i? aeine?aeaeaiiy
iaoiae?a aecia/aiiy aeeiai?/ieo ioe?iie neaiae?a oaiciiao?e/ieo
aei??thaaeueieo ia?aoai?thaa/?a.

Aeey ae??oaiiy aeacaii? caaea/? cai?iiiiiaaii aeei?enoiaoaaoe niin?a
aei??thaaiiy aeaeo?e/ieo neaiae?a i?e i?aeaeuaiiio ??ai? caaaae. Nooue
aeaiiai niiniao iieyaa? a oiio, ui a aei??thaaeueiiio eaioethao nii/aoeo
cae?enith?oueny aei??thaaiiy caaaaee, yea iaaiaeeoueny i?e a?aenooiino?
ei?eniiai neaiaeo, a iio?i a?aeiinii aeaiiai ??aiy cae?enith?oueny
aei??thaaiiy ei?eniiai neaiaeo. Ca?aeii oeueiai niiniao aei??thaaiiy
??aiy caaaaee aeeiio?oueny i?e a?aenooiino? iai?oae aeeaeaiiy ia
aeao/eeo, a aeeo/aiiy ei?eniiai neaiaeo – i?e aeeaeaii? aeao/eea. Oaeei
/eiii, niin?a ? i?eno??e, yeee eiai ?aae?co?, iio?aao? aeeaeaiiy
aeao/ee?a ?iioeueniith iai?oaith.

Aei??thaaiiy ??aiy caaaaee ? ??aiy noi?o? ei?eniiai neaiaeo ? caaaaee
aeeiio?oueny a ??ci? i?ii?aeee /ano. Oaeei /eiii neaiae, yeee
aei??th?oueny, aoaea yaeyoe niaith aaeeoeaio noi?o ei?eniiai neaiaeo ?
caaaaee. Caaea/a a iinoaiiaoe?, eiee iaiao?aeii io?eiaoe iioeiaeuei?
aeeiai?/i? oa?aeoa?enoeee ei?eniiai neaiaeo a noi?o? c aaeeoeaii?
caaaaeith, ? eiee niaeo? /anoio ei?eniiai neaiaeo ? caaaaee
iaeeaaeathoueny, aoea iinoaaeaia ? ae??oaia A?ia?ii, Eaeiaiii oa
Auethn?.

A i?aeoeoe? /anoi a?aeii? oi?ia ? caeii ci?ie neaiaeo c aeoiaeo
aeao/eea. Caaea/a a oae?e iinoaiiaoe?, eiee ia?ii aeaoa?i?iiaaiee neaiae
c iaa?aeiieie ia?aiao?aie, caiaeeoueny aei aecia/aiiy iaa?aeiieo
ia?aiao??a.

Oiaoi caaea/a ii ia?iaoe? aeaieo, ye? niinoa??aathoueny, caiaeeoueny aei
ciaoiaeaeaiiy iaee?aui? ioe?iee neaiaeo x(t), a?aeiinii yeiai a?aeiii:

aea ak – iaa?aeii? iino?ei? ia?aiao?e;

jk(t) – caaeai? ooieoe??.

Neaiae, yeee ae?? ia aoiae? eaiaeo aei??thaaiiy z(t), ia? aeaeyae:

aea n(t) – caaaaea, yea oa?aeoa?eco?oueny a?eei ooiii ??aiy N.

A oeueiio aeiaaeeo ioe?iee ia?aiao??a neaiaeo aecia/athoueny ?c
ae??oaiiy nenoaie noioanoe/ieo aeeoa?aioe?eieo ??aiyiue:

(1)

(2)

aea ak – iaoaiaoe/ia i/?eoaaiiy;

dkl – aeenia?n?y.

Aiane?aeie noi?aeiiai ??oaiiy ??aiyiiy (1) ? (2) io?eiothoue iaoaiaoe/ia
i/?eoaaiiy ak ? ?th dkl neaiaeo x(t).

Neaiae c aeoiaeo aeao/eea a iaeee i?ii?aeie /ano aei??thaaiiy ia?
e?i?eiee oa?aeoa?. Oiio ooieoe?y jk(t) yaey? niaith iie?iii ia?oiai
ii?yaeeo:

? ei?eniee neaiae iaoeia aeaeyae:

I?ney iaoaiaoe/ieo ia?aoai?aiue ? aaiaey/e iicia/aiiy

io?eia?ii:

A caeaaeiino? c oeeie ??aiyiiyie iiaoaeo?ii no?oeoo?io noaio o?eueo?o,
yea i?aaenoaaeaia ia ?en.1.

?enoiie 1 – No?oeoo?ia noaia o?eueo?o aeey neaiaeo, ui ci?ith?oueny ii
e?i?eiiio caeiio

sse aeaeii c aeuaaeeeaaeaiiai, ?aae?caoe?y o?eueo?o caiaeeoueny aei
nenoaie c? ci?iieie a /an? ia?aiao?aie. I?e ?aae?caoe?? oaei? nenoaie
aeieeathoue o?oaeiiu? – iayai?noue ci?iieo a /an? ia?aiao??a. Ae??oaiiy
i?iaeaie ?aae?caoe?? nenoai c oaeeie ia?aiao?aie i?iiiio?oueny ia
iniia? aaeaeaaoiino? e?i?eieo ianoaoe?iia?ieo nenoai ? iae?i?eieo
noaoe?iia?ieo nenoai. Oiaoi nenoaio, yeo io?eiaee, iiaeia ?aae?coaaoe ia
iniia? iae?i?eii? noaoe?iia?ii? nenoaie.

I?e oeueiio nenoaia aoaea iienoaaoeny aaeaeaaoiith nenoaiith
aeeoa?aioe?eieo ??aiyiue:

aea Dx=z(t)-x(t) – ??cieoey ao?aeiiai ? aeo?aeiiai neaiaeo nenoaie;
f1(Dx) ? f2(Dx) – iaa?aeii? iae?i?ei? noaoe?iia?i? ooieoe?? ci?iii? Dx ,
ye? iaiao?aeii aecia/eoe.

A aeai?e ?iaio? cai?iiiiiaaii ?iaeaia?iee niin?a aecia/aiiy ia?aiao??a
iae?i?eieo noaoe?iia?ieo ooieoe?e, yeee a?oioo?oueny ia iaoiae?
aa?iii?eii? e?iaa?ecaoe??.

Ca?aeii iaoiaeo aa?iii?eii? e?iaa?ecaoe?? aeey ooieoe?e f1(Dx), f2(Dx)
iiaeia caienaoe:

(3)

aea q1(ai), q2(ai) -eiao?oe??ioe ia?aaea/?, ye? caeaaeaoue a?ae
aiie?ooaee ai ao?aeiiai neaiaeo; i=1,2…n.

Oaeei /eiii, iae?i?eia ooieoe?y cai?ith?oueny e?i?eiith c eooiaei
eiao?oe??ioii, yeee iaiao?aeii aecia/eoe. ?c oiiae aaeaeaaoiino?
e?i?eieo ianoaoe?iia?ieo ? iae?i?eieo noaoe?iia?ieo nenoai ne?aeo?, ui
iiaia aaeaeaaoi?noue a iaoiio aeiaaeeo cae?enith?oueny i?e aeeiiaii?
oaeeo oiia:

(4)

Oiaoi ooieoe?? f1(Dx(ti)), f2(Dx(ti)) aaeaeaaoi? eiao?oe??ioai k1(ti),
k2(ti) a aeaiee i?ii?aeie /ano ti a?aeiia?aeii.

?c ae?ac?a (3), (4) iiaeia caienaoe:

. (5)

Oiae? aeey iiiaio?a /ano ti aecia/athoueny cia/aiiy ooieoe?e k(ti),
Dx(ti) ? ia iniia? (5) io?eio?ii cia/aiiy a?aeiia?aeiiai eiao?oe??ioo
q(ai) ? aoaeo?ii i?yio 1 (?en.2).

Aiaeia?/ii aeey ??cieo cia/aiue aiie?ooae io?eia?ii aeae?eueea i?yieo(2,
3). E?eaa, yea ia?aoeia? oe? i?yi? a oi/eao a?aeiia?aeieo aiie?ooae,
aecia/a? iae?i?ei?noue.

?enoiie 2 – A?ao?e iae?i?eii? ooieoe?? f(Dx)

Oaeei /eiii, aeei?enoiaoth/e iaoiae aa?iii?eii? e?iaa?ecaoe?? ?
iiaeeea?noue ?iaeaia?iei niiniaii aecia/eoe ia?aiao?e iae?i?eii?
noaoe?iia?ii? nenoaie. Oea aeicaiey? ?aae?coaaoe o?eueo? Eaeiaia-Auethn?
ia iniia? iae?i?eieo noaoe?iia?ieo nenoai (iae?i?eiee o?eueo?) aac
cia/ieo aia?aoieo o?oaeiiu?a a aei??thaaeueieo nenoaiao aaaiaeicoth/iai
iaeaaeiaiiy.

I?e aia?aoi?e ?aae?caoe?? oaei? nenoaie, ?c-ca iayaiino? aioo??oi?o
ooi?a, ye? i?enooi? a caieioo?e aeeiai?/i?e nenoai?, ii?ooo?oueny ??
aneiioioe/ia ca?aei?noue. Aeaea?aeaie aeaieo ooi?a ? aeaiaioe ? aocee c
yeeo neeaaea?oueny nenoaia. Oaeei /eiii, noaaeoueny caaea/a io?eiaiiy
aneiioioe/ii? ca?aeiino? ioe?iee aeo?aeiiai neaiaeo nenoaie aai
i?aeoe/iiai iicaaaeaiiy a?ae ooi?a a nenoai?. ??oaiiy oe??? caaea/?
iiaea aooe caniiaaii ia oai??? ?iaa??aioiino?. ?icaeyiaii oai??th
?iaa??aioiino? noiniaii aei iaoi? nenoaie, yeo aeey c?o/iino?
iiaeaeueoeo iaoaiaoe/ieo aeeeaaeie caieoaii o aeaeyae?:

(6)

aea x1(t) – neaiae ia aeoiae? nenoaie;

f1(t) – aioo??oi? ooie nenoaie.

Ca?aeii oai??? ?iaa??aioiino? oiiaith iacaeaaeiino? aaee/eie x1(t) a?ae
cao?aiiy f1(t) ? oioiaeia ??ai?noue ioeth i?ii?o aieiaiiai aecia/ieea
nenoaie ??aiyiue, oiaoi M11(?)=0. Oea ? e?eoa???i Ueiaiiaa-Eoc?ia, yeee
aea? iiaeeea?noue neioacoaaoe ?iaa??aioi? nenoaie.

Caieoaii nenoaio (6) a neiaie?/i?e oi?i?(p=d/dt):

(7)

aea aij(p) – iie?iiie (a11=p, a12=-1, a13=-k1, a22=p, a23=-k2, a31=1,
a33=1).

Oiiaith aaniethoii? ?iaa??aioiino? aeey nenoaie (7) aoaea:

Ae??ooth/e eiaeia c ??aiyiue nenoaie (7) a?aeiinii iniiaii? aeey
eiaeiiai ??aiyiiy ci?iii? i?e ioeueiaeo ii/aoeiaeo oiiaao io?eia?ii:

(8)

No?oeoo?ia noaia nenoaie, yea a?aeiia?aea? nenoai? ??aiyiue (8),
i?aaenoaaeaia ia ?en.3.

?enoiie 3 – No?oeoo?ia noaia iae?i?eii? nenoaie

Ia?aaeaoi/ia ooieoe?y aioo??oiueiai eiioo?o:

I?e aeeiiaii? oiiae ?iaa??aioiino? ia?aaeaoi/ia ooieoe?y Wk(?)
aei??aith? iane?i/aiino?. Aaniethoii ?iaa??aioia nenoaia aeey no?oeoo?e,
yea ?icaeyaea?oueny, aea?aaeaioia aeaye?e a?iioaoe/i?e nenoai? ? ia?
eaioetha c iane?i/aiei eiao?oe??ioii i?aeneeaiiy.(?en.4.).

Ia?aaeaoi/ia ooieoe?y aeey aea?aaeaioii? noaie ii eaiaeo cao?aiiy:

?enoiie 4 – No?oeoo?ia noaia aea?aaeaioia nenoaie

C oeueiai ae?aco aeaeii, ui ia?aaeaoi/ia ooieoe?y y(p) aoaea i?aaiooe
aei ioey, yeui Wk(?) aoaea i?aaiooe aei iane?i/aiiino?. I?e ia?aoiae?
a?ae cia?aaeaiue aei i?ea?iae?a io?eia?ii iaiao?aeio no?oeoo?o nenoaie.
Oiaoi, aeoiaey/e c aeeeaaeaiiai, iiaeia c?iaeoe ianooii? aeniiaee: aeey
oiai, uia caaacia/eoe aaniethoio ?iaa??aioi?noue nenoaie, yea
?icaeyaea?oueny, a?ae aioo??oi?o ooi?a, iaiao?aeii, uia eiao?oe??io
k1(t) i?aaioa aei iane?i/aiiino?, a eiao?oe??io ae?oaiai ?ioaa?aoi?a ia
no?eueee ae i?yioaaa aei ioey.

O?ao?e ?icae?e. Aeine?aeaeaiiy oai?aoe/ieo ?acoeueoao?a ia iniia?
iaoaiaoe/iiai iiaeaethaaiiy.

Ia iniia? iaoaiaoe/ieo aeeeaaeie oai?aoe/iiai ?icae?eo aeey
aeine?aeaeaiiy ? aecia/aiiy ia?aiao??a o?eueo?o Eaeiaia-Auethn? ia
iniia? iae?i?eieo noaoe?iia?ieo ooieoe?e aoea noai?aia eiai iaoaiaoe/ia
iiaeaeue, yea a?aoiao? iniaeeaino? ia?aiao??a nenoaie oa ?? o?ce/i?
aeanoeaino?.

Oae, ca aeiiiiiaith iaoaiaoe/ii? iiaeae? ia iniia? cai?iiiiiaaiiai a
oai?aoe/iiio ?icae?e? niiniao, aoee io?eiai? iae?i?ei? ooieoe?? f1(Dx) ?
f2(Dx) a a?ao?/iiio ? aiae?oe/iiio aeaeyae?.(?en.6).

?enoiie 6 – A?ao?ee iae?i?eieo noaoe?iia?ieo ooieoe?e f1(Dx) ? f2(Dx)

Aiae?oe/ii ooieoe?? f1(Dx) ? f2(Dx) iienothoueny ??aiyiiyie:

– eiao?oe??ioe, ye? caeaaeaoue a?ae ??aiy caaaaee, ? aecia/athoueny
ia i?aenoaa? aiinoa??i?ieo aeaieo.(?en.7, ?en.8):

a?ae ??aiy caaaaee

a?ae ??aiy caaaaee

Ca?aeii oai?aoe/ieo aeine?aeaeaiue noiniaii i?eai?/aiiy aioo??oi?o ooi?a
o?eueo?o ia iniia? iae?i?eieo noaoe?iia?ieo nenoai, eiao?oe??ioe
ia?aaea/? eaioetha?a f1(Dx) ? f2(Dx) iiaeii? aooe cai?ioii i?iii?oe?ei?
eiao?oe??ioo ia?aaea/? ae?oaiai ?ioaa?aoi?a k3, oiaoi aecia/aoeny c
ae?ac?a:

aea k1i, k2i – eiao?oe??ioe ia?aaea/? ooieoe?e f1(Dx), f2(Dx) i?e
aeeiiaii? oiiae ?iaa??aioiino?.

*aoaa?oee ?icae?e. Aia?aoia ?aae?caoe?y oa aenia?eiaioaeuei?
aeine?aeaeaiiy i?eno?ith niieo/aiiy oaiciaeao/ee?a c ea?oth/eie caniaaie
ia/enethaaeueii? oaoi?ee.

Cai?iiiiiaaia aia?aoia ?aae?caoe?y i?eno?ith, ia yeee io?eiaii ??oaiiy
i?i aeaea/o iaoaioo ia aeiao?ae, aeey aei??thaaiiy aeaeo?e/ieo neaiae?a
i?e i?aeaeuaiiio ??ai? caaaaee.

Aeoiaey/e c i?iaaaeaieo oai?aoe/ieo oa aenia?eiaioaeueieo aeine?aeaeaiue
ia iniia? iaoaiaoe/iiai iiaeaethaaiiy cai?iiiiiaai? no?oeoo?i?,
ooieoe?iiaeuei? oa i?eioeeiia? noaie iae?i?eiiai o?eueo?o.
Ooieoe?iiaeueia noaia iae?i?eiiai o?eueo?o cia?aaeaia ia ?en.10.

?enoiie 10 – Ooieoe?iiaeueia noaia iae?i?eiiai o?eueo?o

A aeai?e noai? aeiee F1 ? F2 ?aae?cothoue iae?i?ei? ooieoe?? f1(Dx) ?
f2(Dx). Aeey ni?iuaiiy aia?aoii? ?aae?caoe?? aeai? iae?i?ei? ooieoe??
ai?ieneiiaaii a?ae??ceaie i?yieo e?i?e.(?en.11, ?en.12).

Iai?oaa U2 ia aeoiae? aeieo F1 , yeee ?aae?co? iae?i?ei?noue aeaeo
f1(Dx), aecia/a?oueny c ae?aco:

aea k1=tga1;

k2=tgb1;

a1, b1 – eooe iaoeeo ai?ieneioth/eo i?yieo iae?i?eii? ooieoe?? f1(Dx) ;

U1=Uao-Uaeo;

Uii1=|b1|;

b1 – oi/ea ia?aeiio.

?enoiie 11 – Ai?ieneiaoe?y ooieoe?? f1(Dx):

a1, b1 – eooe iaoeeo ai?ieneioth/eo i?yieo;

b1 – oi/ea ia?aeiio.

?enoiie 12 – Ai?ieneiaoe?y ooieoe?? f2(Dx):

a2, b2 – eooe iaoeeo ai?ieneioth/eo i?yieo;

b2 – oi/ea ia?aeiio.

Iai?oaa U3 ia aeoiae? aeieo F2 , yeee ?aae?co? iae?i?ei?noue aeaeo
f2(Dx), aecia/a?oueny c ae?aco:

aea k3=tga2;

k4=tgb2;

a2, b2 – eooe iaoeeo ai?ieneioth/eo i?yieo iae?i?eii? ooieoe?? f2(Dx) ;

U1=Uao-Uaeo;

Uii2=|b2|;

b2 – oi/ea ia?aeiio.

Iai?oaa ia aeoiae? ?ioaa?aoi?a D4 aei??aith?:

I?iaaaeai? aenia?eiaioaeuei? aeine?aeaeaiiy iieacaee aenie? iao?ieia?/i?
cae?aiino? iae?i?eiiai o?eueo?o. Oae i?e iayaiino? caaaaee /ea neeaaea?
33% ei?eniiai neaiaeo eiao?oe??io iiaeaaeaiiy caaaaee neeaaea? 50dB.
Inoeeeia?aia neaiae?a ia aoiae? ? aeoiae? o?eueo?o iaaaaeaia ia ?en.13.

Ia iniia? i?eno?ith aeey aei??thaaiiy aeaeo?e/ieo neaiae?a i?e
i?aeaeuaiiio ??ai? caaaaee oa iae?i?eiiai o?eueo?o ?ic?iaeaii i?eno??e
niieo/aiiy oaiciiao?e/ieo aei??thaaeueieo ia?aoai?thaa/?a c ea?oth/eie
caniaaie ia/enethaaeueii? oaoi?ee.

Aeaiee i?eno??e aeicaiey? eiio?iethaaoe aei ainueie aeao/ee?a,
i?iaiaeeoe aei??thaaiiy ia a?aenoai? aei 300 i.

Oae? aeanoeaino? i?eno?ith, yeee ?ic?iaeaii, aeathoue iiaeeea?noue
aeei?enoaiiy eiai ? a ?ioeo aaeocyo aa?ii?iieneiaiai eiiieaeno, aea
iaiao?aeii i?iaiaeeoe aei??thaaiiy aiaeiaiaiai neaiaeo i?e neeaaeieo
oiiaao aenieoaoaoe??.

?enoiie 13 – Inoeeeia?aie ?iaioe o?eueo?o

I’yoee ?icae?e. Aiae?c ? ocaaaeueiaiiy ?acoeueoao?a aeine?aeaeaiiy oa
ai?iaaaeaeaiiy ?o i?e ?ic?iaoe? aaoiiaoeciaaii? nenoaie eiio?ieth oa
iae?eo ca?ia ia i?aei?e?inoaao ca?iiia?a?iaii? i?iieneiaino?

?ic?iaeaia aaoiiaoeciaaia nenoaia ae??oo? caaea/? a?aenoaaeaiiy i?eeiio,
caa??aaiiy oa a?aeaaioaaeaiiy ca?ia oeyoii eiio?ieth aaaiaiai
iaeaaeiaiiy ? ?a?no?aoe?? ia oeaio?aeuei?e AII ?acoeueoao?a
aei??thaaiiy.

Any eia?ea oi?aae?iiy nenoaiith ?aae?ciaaia ca aeiiiiiaith i?ia?aiieo
cania?a. I?ia?aia oi?aae?iiy ? aaaeo/ith ii a?aeiioaiith aei oao
oi?aae?iiy, aea ?icoaoiaai? i?eno?i? eiio?ieth ? oi?aae?iiy iaeaaeiaiiyi
ia aeaaaoi??.

I?iaaaeaii ?ic?aooiie oaoi?ei-aeiiii?/ii? aoaeoeaiino? nenoaie, yea
i?iiiio?oueny. Ca ?acoeueoaoaie ?ic?aooieo ??/iee aeiiii?/iee aoaeo a?ae
ai?iaaaeaeaiiy nenoaie neeaaea? 7053 a?i. a ??e ia eiaei? 1000 oii
ca?ia.

Nenoaia ai?iaaaeaeaia ? i?aoeth? a neeaae? oi?o?eiaaii? nenoaie
oi?aae?iiy oaoiieia?/ieie i?ioeanaie ia aeaaaoi?? E??iaia?aaenueeiai
eiia?iaoo oe?aii?iaeoeo?a ?2

AENIIAEE

Noeoii?noue i?eaaaeaieo a ?iaio? ?acoeueoao?a aeicaiey? noai?eoe
aaoiiaoeciaaio nenoaio eiio?ieth oa iae?eo ca?ia ia i?aei?e?inoaao
ca?iiia?a?iaii? i?iieneiaino? ia iniia? ?ic?iaeaiiai i?eno?ith
niieo/aiiy oaiciiao?e/ieo aei??thaaeueieo ia?aoai?thaa/?a c ea?oth/eie
caniaaie ia/enethaaeueii? oaoi?ee.

A aeena?oaoe?ei?e ?iaio? io?eiai? ianooii? iniiai? iaoeia? ? i?aeoe/i?
?acoeueoao?:

– noai?aii aoi?eiiee ia?aoai?thaa/ aeey aei??thaaiiy aeaeo?e/ieo
neaiae?a c aenieiaoaeoeaiei iiaeaaeaiiyi caaaae o aei??thaaeueiiio
eaiae? c aeei?enoaiiyi aeai?eoi?a iioeiaeueii? o?eueo?aoe??;

– cai?iiiiiaaii niin?a ?aae?caoe?? aoi?eiiiai ia?aoai?thaa/a c? ci?iieie
a /an? ia?aiao?aie ia iniia? iae?i?eieo noaoe?iia?ieo nenoai, yeee
aeicaiey? io?eiaoe aeeiai?/i? ioe?iee neaiae?a;

– cai?iiiiiaaii niin?a aecia/aiiy iae?i?eieo ia?aiao??a aoi?eiiiai
ia?aoai?thaa/a ia iniia? iaoiaeo aa?iii?eii? e?iaa?ecaoe??, a oaeiae
i?eai?/aiiy eiai aioo??oi?o ooi?a ia iniia? oai??? ?iaa??aioiino?;

– noai?aii i?eno??e niieo/aiiy oaiciiao?e/ieo aeao/ee?a neee c
ea?oth/eie caniaaie ia/enethaaeueii? oaoi?ee ? ?aae?ciaaia ia eiai
iniia? aaoiiaoeciaaia nenoaia eiio?ieth oa iae?eo ca?ia, yea
ai?iaaaeaeaia a neeaae? aaoiiaoeciaaii? nenoaie oi?aae?iiy
oaoiieia?/ieie i?ioeanaie ia aeaaaoi?? E??iaia?aaenueeiai eiia?iaoo
oe?aii?iaeoeo?a ?2.

Nienie iioae?eiaaieo i?aoeue ca oaiith aeena?oaoe??

1. Neaei?aieiA.A., Eaeaoi?e Ae.A. Oi?aa?naeueiee i?eno??e aaiaeo ?
ia?iaee aiaeiaiai? ?ioi?iaoe?? aeey nenoai aaoiiaoe/iiai oi?aae?iiy
oaoiieia?/ieie ?aaeeiaie caa??aaiiy oa ia?a?iaee ca?ia. // Ca??iee
iaoeiaeo i?aoeue E??iaia?aaenueeiai ?inoeoooo n?euenueeiainiiaea?nueeiai
iaoeiiaoaeoaaiiy /oaoi?ea a n?euenueeiainiiaea?nueeiio ae?iaieoeoa?,
aaeocaaa iaoeiiaoaeoaaiiy, aaoiiaoecaoe?y /. – E??iaia?aae: E?NI. –
1998.- ?2. – N.191-195.

2. Ae. Eaeaoi?e. Aecia/aiiy ia?aiao??a i?eno?i?a aeey aei??thaaiiy
aeaeo?e/iiai neaiaeo oaiciiao?e/ieo aeao/ee?a neee ia i?aei?e?inoaao
aa?ii?iieneiaiai eiiieaeno // Eiino?othaaiiy, ae?iaieoeoai oa
aenieoaoaoe?y n?euenueeiainiiaea?nueeeo iaoei. – E??iaia?aae: EAeOO. –
1999. – ?27. – N.177-182.

3. Eaeaoi?e Ae.A. I?aeaeuaiiy oi/iino? o?eueo?o Eaeiaia-A’thn? ia iniia?
oai??? ?iaa??aioiino?.// Ca??iee iaoeiaeo i?aoeue E??iaia?aaenueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo /oaoi?ea a
n?euenueeiainiiaea?nueeiio ae?iaieoeoa?, aaeocaaa iaoeiiaoaeoaaiiy,
aaoiiaoecaoe?y / – E??iaia?aae: EAeOO. – 1999. – ?5. – N. 55-60.

4. ??oaiiy i?i aeaea/o iaoaioo ii cayaoe? ?97115560 a?ae 29.10.98, IIE
6I03E 13/17. I?eno??e aeey aei??thaaiiy aeaeo?e/iiai neaiaeo c
aaeeoeaiith caaaaeith. / Neaei?aiei A.A. Eaeaoi?e Ae.A. Aieia?? A.I.
(Oe?a?ia); Cayae. 19.11.97. ?

AIIOAOe?ss

Eaeaoi?e Ae.A. Aaoiiaoeciaaia nenoaia eiio?ieth oa iae?eo ca?ia ia
i?aei?e?inoaao ca?iiia?a?iaii? i?iieneiaino?. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.13.07 – aaoiiaoecaoe?y oaoiieia?/ieo i?ioean?a. –
E??iaia?aaenueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, E??iaia?aae, 1999.

Aeena?oaoe?th i?enay/aii noai?aiith aaoiiaoeciaaii? nenoaie eiio?ieth oa
iae?eo ca?ia ia iniia? i?eno?ith niieo/aiiy oaiciiao?e/ieo aeao/ee?a c
ea?oth/eie caniaaie ia/enethaaeueii? oaoi?ee. A oeueiio i?eno?i? a
yeino? aoi?eiiiai ia?aoai?thaa/a i?iiiio?oueny aeei?enoiaoaaoe o?eueo?
Eaeiaia-Auethn? ye aenieiaoaeoeaiee can?a i?eai?/aiiy caaaae a
aei??thaaeueiiio eaiae?. Cai?iiiiiaaii can?a ?aae?caoe?? o?eueo?o ia
iniia? iae?i?eieo noaoe?iia?ieo nenoai c i?eai?/aiiyi aioo??oi?o ooi?a
oeyoii aeiiiaiaiiy eiai oiiaith ?iaa??aioiino?, ui caaacia/o?
aneiioioe/io ca?aei?noue ae??oaiiy.

Eeth/ia? neiaa: aoi?eiiee ia?aoai?thaa/, oaiciiao?e/iee aeao/ee neee,
iae?i?ei? noaoe?iia?i? nenoaie, aneiioioe/ia ca?aei?noue,
?iaa??aioi?noue.

Annotation

Kalashnik D.V. Automatic system to control and take stock of grain at
the enterprises of grain processing industry. – Manuscript.

Thesis for the degree of a candidate of technical science by specialty
05.13.07 – automation of technological processes. – Kirovograd State
Technical University, Kirovograd, 1999.

The dissertation is devoted to the creation of an automatic system to
control and take stock of grain at grain processing enterprises on the
basis of a device that conjugates tensometrical sensors with computer
techniques control means. In this device, Kalman-Bucy filter is proposed
to be used as a secondary reducer that is concerned to be a highly
efficient means to suppress interference in the testing channel. The
manner of filter realization on the basis of non-linear stationary
systems and the ways of internal noise reduction by adding it with the
invariant condition are proposed to provide the convergence of
asymptotic solutions.

Key words: secondary reducer, tensometrical sensor, non-linear
stationary systems, asymptotic solutions, invarianna.

AIIIOAOeEss

Eaeaoiee Ae.A. Aaoiiaoece?iaaiiay nenoaia eiio?iey e o/aoa ca?ia ia
i?aaei?eyoeyo ca?iiia?a?aaaouaathuae i?iiuoeaiiinoe. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.13.07 – aaoiiaoecaoeey oaoiieiae/aneeo i?ioeannia.
– Ee?iaia?aaeneee ainoaea?noaaiiue oaoie/aneee oieaa?neoao, Ee?iaia?aae,
1999.

A aeenna?oaoeeiiiie ?aaioa i?iaaaeai iaci? e aiaeec nouanoaothueo
ecia?eoaeueii-oi?aaeythueo ono?ienoa aania e aeicaoi?ia. I?iaaaeaiiue
aiaeec iieacae, /oi aeaiiua ono?ienoaa e niiniau iiauoaiey eo
iiiaoinoieeinoe ia iaania/eaatho oi/iinoue iaiaoiaeeioth aeey
i?aaei?eyoee ca?iiia?a?aaaouaathuae i?iiuoeaiiinoe, eioi?ui i?enoua
oeaio?aeeciaaiiay nenoaia oi?aaeaiey e aeao/eee iaoiaeyony ia
cia/eoaeueiii oaeaeaiee. A ?acoeueoaoa yoiai ia aoiae ono?ienoaa
ecia?aiey oaiciiao?e/aneeo aeao/eeia neeu iinooiaao neaiae i?e
iiauoaiiii o?iaia iiiao, o.a. i?e niioiioaiee neaiae/ooi iaiueoa
aaeeieoeu. A nayce n yoei a ?aaioa noaaeony caaea/a i?iaaaeaiey
oai?aoe/aneeo enneaaeiaaiee ii iaoiaeai ii?aaeaeaiey aeeiaie/aneeo
ioeaiie neaiaea, ecia?yaiiai n oaiciaeao/eeia neeu, e ?ac?aaioee ia eo
iniiaa ono?ienoaa nii?yaeaiey n oi?aaeythueie n?aaenoaaie
au/eneeoaeueiie oaoieee aeey iino?iaiey aaoiiaoece?iaaiiie nenoaiu
eiio?iey e o/aoa ca?ia.

I?iaaaeaiiua oai?aoe/aneea enneaaeiaaiey a iaeanoe ii?aaeaeaiey
iioeiaeueiuo aeeiaie/aneeo ioeaiie neaiaea oaiciiao?e/aneeo aeao/eeia
i?e niioiioaiee neaiae ooi/iaiueoa aaeeieoeu iieacaee, /oi eeanne/aneea
iaoiaeu ia i?eiaieiu a aeaiiii neo/aa. Iiyoiio i?aaeeiaeaii
eniieueciaaoue niinia ecia?aiey yeaeo?e/aneeo neaiaeia, eioi?ue
iicaieyao iiauneoue niioiioaiea neaiae/ooi e i?eiaieoue eeanne/aneoth
oai?eth Aeia?a aeey ii?aaeaeaiey iioeiaeueiuo aeeiaie/aneeo ioeaiie
neaiaeia. Iieacaii, /oi ?aaeecaoeey aoi?e/iiai i?aia?aciaaoaey naiaeeony
e ?aaeecaoeee eeiaeiie ianoaoeeiia?iie nenoaiu ia iniiaa aa
aaeaeaaoiinoe iaeeiaeiie noaoeeiia?iie nenoaiu. I?aaeeiaeai niinia
ii?aaeaeaiey ia?aiao?ia iaeeiaeiie noaoeeiia?iie nenoaiu ia iniiaa
iaoiaea aa?iiie/aneie eeiaa?ecaoeee. Iieacaii, /oi aiia?aoiay
?aaeecaoeey aoi?e/iiai i?aia?aciaaoaey ia iicaieyao iieo/eoue
iioeiaeueiua ioeaiee, o.a. aneiioioe/aneoth onoie/eainoue ?aoaiey, ec-ca
iaee/ey ooiia i?enoonoaothueo a caieiooie nenoaia ?aaeecothuae
i?aia?aciaaoaeue. Eniieuecoy oai?eth eiaa?eaioiinoe Ueiaiiaa-Eoceia,
i?aaeeiaeai niinia, eioi?ue iaania/eaaao aneiioioe/aneoth noiaeeiinoue
?aoaiey e iicaieyao naanoe aei ieieioia ooiu a caieiooie nenoaia e a
?acoeueoaoa iieo/eoue iioeiaeueiua aeeiaie/aneea ioeaiee n o?aaoaiie
oi/iinoueth.

?anniio?aia iaoiaeeea enneaaeiaaiey oai?aoe/aneeo ?acoeueoaoia n
iiiiuueth nicaeaiiie iaoaiaoe/aneie iiaeaee aoi?e/iiai i?aia?aciaaoaey
oaiciaeao/eeia, eioi?ue i?aaenoaaeyao niaie caieioooth iaeeiaeioth
noaoeeiia?ioth nenoaio.

N iiiiuueth YAI iieo/aiu a?aoeee iaeeiaeiuo ooieoeee, eioi?ua
iiaeoaa?aeeee aeinoiaa?iinoue i?aaeeiaeaiiiai eiaeaia?iiai niiniaa eo
ii?aaeaeaiey ia iniiaa iaoiaea aa?iiie/aneie eeiaa?ecaoeee.

Iaoaiaoe/aneay iiaeaeue iaeeiaeiie nenoaiu iiaeoaa?aeeea iieo/aiiua
oai?aoe/aneea ?acoeueoaou enneaaeiaaiey ioiineoaeueii i?eiaiaiey oai?ee
eiaa?eaioiinoe.

A ?acoeueoaoa enneaaeiaaiey iaoaiaoe/aneiai iiaeaee?iaaiey ?ac?aaioaia
ooieoeeiiaeueiay e i?eioeeieaeueiay noaia aoi?e/iiai i?aia?aciaaoaey
oaiciaeao/eeia e i?aaeeiaeaii ia aai iniiaa ono?ienoai nii?yaeaiey n
oi?aaeythueie n?aaenoaaie au/eneeoaeueiie oaoieee. I?iaaaeaiu ?aaiou ii
yenia?eiaioaeueiiio enneaaeiaaieth oai?aoe/aneeo ?acoeueoaoia e
aiaae?aiea eo i?e ?ac?aaioea aaoiiaoece?iaaiiie nenoaiu eiio?iey e o/aoa
ca?ia.

?ac?aaioaiiay aaoiiaoece?iaaiiay nenoaia eiio?iey e o/aoa ca?ia
aiaae?aia a ninoaaa aaoiiaoece?iaaiiie nenoaiu oi?aaeaiey
oaoiieiae/aneeie i?ioeannaie ia yeaaaoi?a Ee?iaia?aaeneiai eiiaeiaoa
oeaaii?iaeoeoia ? 2 e ?aoaao caaea/e ioneaaeeaaiey i?eaia, o?aiaiey e
o?ainii?oe?iaaiey ca?ia iooai eiio?iey aaniaiai e aeice?othuaai
iai?oaeiaaiey.

Any eiaeea oi?aaeaiey nenoaiie ?aaeeciaaia n iiiiuueth i?ia?aiiiuo
niiniaia. I?ia?aiia oi?aaeaiey auiieiyaony ia oeaio?aeueiie
au/eneeoaeueiie iaoeia. Iia yaeyaony aaaeouae ii ioiioaieth e oeaoai
oi?aaeaiey, aaea ?aniieiaeaiu ono?ienoaa eiio?iey e oi?aaeaiey
iai?oaeiaaieai ia i?aaei?eyoee.

Eeth/aaua neiaa: aoi?e/iue i?aia?aciaaoaeue, oaiciiao?e/aneee aeao/ee
neeu, iaeeiaeiua noaoeeiia?iua nenoaiu, aneiioioe/aneay noiaeeiinoue,
eiaa?eaioiinoue.

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