ÀËÃÅÁÐÀÈ×ÅÑÊÀß ÒÐÀÊÒÎÂÊÀ ÄÂÓÕÔÀÊÒÎÐÍÎÉ ÁÈÍÀÐÍÎÉ ÒÅÎÐÈÈ ÄÎÑÒÀÒÎ×ÍÛÕ ÏÐÈ×ÈÍ Ïàíîâ Â.Ã., Íàãðåáåöêàÿ Þ.Â. Àëãåáðàè÷åñêàÿ òðàêòîâêà äâóõôàêòîð-íîé áèíàðíîé òåîðèè äîñòàòî÷íûõ ïðè÷èí Àííîòàöèÿ. Àíàëèçèðóåòñÿ ïîíÿòèå âçàèìîäåéñòâèÿ â êîíòåêñòå ìîäåëè ýêñ-ïåðèìåíòà ñ äâóìÿ áèíàðíûìè ôàêòîðàìè è áèíàðíûì îòêëèêîì (áèíàðíûé ýêñïåðèìåíò). Ðàçðàáàòûâàåòñÿ ìàòåìàòè÷åñêàÿ ìîäåëü, èñïîëüçóþùàÿ êîí-öåïöèþ äîñòàòî÷íûõ ïðè÷èí äëÿ äâóõ áèíàðíûõ ôàêòîðîâ. Ïðîâåäåíà ôîðìà-ëèçàöèÿ áèíàðíîãî ýêñïåðèìåíòà â òåðìèíàõ òåîðèè áóëåâûõ ôóíêöèé. Âûäå-ëåíû àêñèîìû ñèììåòðèé ïîíÿòèÿ âçàèìîäåéñòâèÿ â áèíàðíîì ýêñïåðèìåíòå, êîòîðûå ïîðîaeäàþò ãðóïïó àâòîìîðôèçìîâ ñâîáîäíîé áóëåâîé àëãåáðû ýòî-ãî ýêñïåðèìåíòà. Ïðåäñòàâëåíà ïîëíàÿ êëàññèôèêàöèÿ òèïîâ âçàèìîäåéñòâèÿ äâóõ áèíàðíûõ ôàêòîðîâ, à òàêaeå ïðèâåäåíà èõ ãåîìåòðè÷åñêàÿ èíòåðïðåòà-öèÿ.Êëþ÷åâûå ñëîâà: ìîäåëü äîñòàòî÷íûõ ïðè÷èí, âçàèìîäåéñòâèå áèíàðíûõ ôàêòîðîâ, áóëåâà àëãåáðà, ãðóïïà âñåõ ñèììåòðèé êâàäðàòà, îðáèòû äåéñòâèÿ ãðóïïû.Panov V.G., Nagrebetskaya J.V. An algebraic interpretation of 2-factor binary sucient component cause theory Abstract. The concept of interaction of two binary factors in the experiment with a binary outcome is considered. A mathematical model is developed for two binary factors within the sucient component cause framework. A formalization of the binary experiment is provided in terms of Boolean functions theory. Axioms of symmetry of the interaction in binary experiment is focused and formalized as automorphisms over corresponding free Boolean algebra. Complete classication of interaction types in binary experiment is presented as well as their geometric interpretation.Keywords: sucient component cause framework, binary factors' interaction, Boolean algebra, square symmetry group, group action orbit.1. Ââåäåíèå.  ïîñëåäíåå âðåìÿ â ýêñïåðèìåíòàëüíîé ìåäè-öèíå âîçíèêëî íàïðàâëåíèå, êîòîðîå ñòàâèò ñâîåé öåëüþ ïîëó÷åíèå òî÷íûõ çàêëþ÷åíèé î ïðè÷èíàõ, ïóòÿõ ïðîòåêàíèÿ è îñîáåííîñòÿõ âçàèìîäåéñòâèÿ áèîëîãè÷åñêèõ è ôèçèêî-õèìè÷åñêèõ ïðîöåññîâ â ÷åëîâå÷åñêîì îðãàíèçìå íà îñíîâå èìåþùèõñÿ ìåäèöèíñêèõ äàí-íûõ. Îíî ïîëó÷èëî íàçâàíèå êëèíè÷åñêàÿ ýïèäåìèîëîãèÿ, èëè äî-êàçàòåëüíàÿ ìåäèöèíà [7], [9], [11], [17]. Îäíîé èç âàaeíûõ ïðîáëåì äîêàçàòåëüíîé ìåäèöèíû ÿâëÿåòñÿ çàäà÷à îáíàðóaeåíèÿ âçàèìî-äåéñòâèÿ ôàêòîðîâ, âëèÿþùèõ íà èññëåäóåìûé îáúåêò, íàïðèìåð, Труды СПИИРАН.
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