Strukturirovanie analiticheskoy geometrii na osnove simmetriy: Matematika. Informatsionnye tekhnologii. Gumanitarnye nauki. (Rus,Used

Strukturirovanie analiticheskoy geometrii na osnove simmetriy: Matematika. Informatsionnye tekhnologii. Gumanitarnye nauki. (Rus,Used

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Brand: LAP Lambert Academic Publishing
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Kniga otrazhaet rezul'taty ispol'zovaniya metoda iskusstvennogo intellekta k analiticheskoy geometrii na osnove strukturnogo lingvisticheskogo analiza i relyatsionnoy algebry. Geometriya rassmatrivaetsya kak ob"edinenie teorii mnozhestv i universal'noy algebry na osnove simmetriy (avtomorfizmov LeybnitsaG.Veylya). V otlichie ot tablitsy Veylya ispol'zuyutsya simmetrii po D'edonne, opredelenie Frenkelya prinadlezhnosti elementa mnozhestvu. Opisany nekotorye primeneniya teorii dlya proizvol'nykh lineynykh preobrazovaniy kak konicheskikh secheniy, tak i form slozhnee kvadratichnoy. Tablitsa avtomorfizmov proverena na proizvedeniyakh izobrazitel'nogo iskusstva, proektivnykh psikhologicheskikh testakh. Dayutsya primeneniya v IT i mekhanike. Prednaznachena, prezhde vsego, dlya matematikov i programmistov s obrazovaniem ne menee 3 semestra tekhnicheskogo universiteta. Glavy 1 i 9, punkty 4.4. i 4.5, mogut byt' interesny lingvistam, iskusstvovedam, psikhologam, fiziologam, dizayneram. Monografiya mozhet byt' interesna fizikam i biologam. Khotelos' by verit', chto posle prochteniya knigi chitatel' razdelit mysli avtorov o garmonichnosti mira, ob otsutstvii v nem asimmetrii, o edinoy strukture prostranstva i nravstvennogo mira cheloveka.

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