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saqarTvelos mecnierebaTa erovnuli akademia

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58<br />

ricxvia, maSin efeqturad aigeba evkliduri sivrcis<br />

k-erTgvarovani dafarva wyvil-wyvilad kongruentuli<br />

wrewirebis meSveobiT, xolo 1-ze meti<br />

kenti k ricxvis SemTxvevaSi analogiuri dafarvis<br />

arseboba mtkicdeba arakonstruqciuli simravlur-Teoriuli<br />

meTodebis gamoyenebiT.<br />

2) `TiTqmis zomadi namdvilmniSvnelobiani<br />

funqciebis Sesaxeb~ Studia Scientiarum Mathematicarum<br />

Hungarica, v. 47, # 2, 2010, 257-266, inglisur enaze).<br />

gamokvleulia TiTqmis zomadi namdvilmniSvnelobiani<br />

funqciebis struqturuli Tvisebebi<br />

da es Tvisebebi gamoyenebulia zomis gagrZelebis<br />

amocanis amoxsnisaTvis. dadgenilia ramdenime<br />

faqti, romelic aRwers TiTqmis zomadi funqciebis<br />

yofaqcevas maTematikuri analizis standartuli<br />

operaciebis mimarT.<br />

3) `mravali cvladis uwyveti funqciebis ubanuban<br />

afinuri aproqsimaciebi da geilis poliedrebi~<br />

(andria razmaZis maTematikis institutis<br />

Sromebi, t. 152, 2010, 133-140, inglisur enaze).<br />

gamokvleulia mravali cvladis uwyveti funqciebis<br />

uban-uban afinuri funqciebiT aproqsimaciis<br />

zogierTi sakiTxi. damtkicebulia, rom sazogadod<br />

aseTi aproqsimaciis struqtura aris<br />

arapolinomialuri sirTulis mqone (e.i. afinur<br />

SesakrebTa raodenoba arapolinomialuri siCqariT<br />

izrdeba). dadgenilia am tipis sakiTxebis<br />

mWidro kavSiri geilis poliedrebis geometriul<br />

TvisebebTan.<br />

4) `brtyeli simravleebis nulzomis mqone<br />

kveTebis arazomadi gaerTianebebis Sesaxeb~ (andria<br />

razmaZis maTematikis institutis Sromebi,<br />

t. 154, 2010, 137-143, inglisur enaze).

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