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Simmetrichnyy treugol'nik Paskalya i arifmeticheskiy parallelepiped

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  • 2015

  • Russisk

Kniga posvyashchena geometricheskomu opisaniyu uzkikh puchkov sveta i drugikh protsessov v dlinnykh trubkakh. V nastoyashchey rabote opisan simmetrichnyy (simmetrichno pronumerovannyy) treugol''nik Paskalya i predlozhena novaya naglyadnaya model'' - nelineynyy arifmeticheskiy parallelepiped, dlya chislennogo opisaniya binarnoy luchevoy sistemy i dlya illyustratsii protsessa raspredeleniya vetvyashcheysya sistemy paraksial''nykh (gaussovykh) puchkov i volnoobraznykh traektoriy. Predlagaemaya novaya model'' mozhet byt'' polezna dlya priblizhennoy i formal''noy, no naglyadnoy geometricheskoy interpretatsii protsessov dvizheniya chastits i voln v dlinnykh trubkakh. K takim protsessam mozhno otnesti, naprimer, rasprostranenie sveta v lazerakh, nakhozhdenie chastitsy v beskonechno glubokoy potentsial''noy yame (vklyuchaya novuyu geometricheskuyu interpretatsiyu spina chastitsy), laminarnoe i turbulentnoe techenie zhidkosti po trubam i t. p. V knige privedeno bol''shoe kolichestvo risunkov i grafikov, a takzhe tablits s chislennymi raschetami, vypolnennymi v programme Excel. Kniga prednaznachena vsem, kto interesuetsya novymi naglyadnymi geometricheskimi issledovaniyami v oblasti fiziki i optiki.
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