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Diskrečioji matematika Naršymo meniur

Diskrečioji matematika


matematikosdiskrečiasskaičios aibėssveikieji skaičiaikompiuterių moksluosealgoritmamsprogramavimo kalboms










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Diskrečioji matematika




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Diskrečioji matematika – matematikos sritis, tirianti diskrečias matematines struktūras ir realiųjų reiškinių diskrečiuosius matematinius modelius. Didžioji dalis diskrečiosios matematikos tyrimų objektų – skaičios aibės, pavyzdžiui, sveikieji skaičiai.


Diskrečioji matematika plačiai taikoma kompiuterių moksluose – algoritmams bei programavimo kalboms.


Pagrindiniai diskrečiosios matematikos skyriai:


  • Matematinė logika

  • Aibių teorija

  • Skaičių teorija

  • Kombinatorika

  • Grafų teorija

  • Algoritmų teorija


  • Informacijos teorija (Informologija)


  • Algoritmų baigtinumo bei Algoritmų sudėtingumo teorijos

  • Elementarioji tikimybių teorija

  • Tiesinė algebra

















ž • a • r
Informatikos sritys
Matematinė bazė

Būlio (logikos) algebra • Diskrečioji matematika • Grafų teorija • Informacijos teorija • Tikimybių teorija • Statistika
Teorinė informatika

Algoritminė informacijos teorija • Tiuringo mašina • Kriptografija • Algoritmų bei jų sudėtingumo tyrimai • Matematinė logika • Formalios kalbos • Tipų teorija • Rikiavimo algoritmų sudėtingumas
Taikomoji informatika

Bioinformatika • Geoinformatika • Ekonominė informatika • Neuroinformatika
Programinė įranga

Lygiagretusis programavimas • Programų specifikavimas • Programų patikrinimas • Programavimo technika • Programavimo kalbos • Operacinės sistemos • Kompiliatoriai (leksinė analizė)
Programų inžinerija

Optimizavimas • Programų metrikos • Konfigūracijų valdymas • Funkcinis programavimas • Struktūrinis programavimas • Objektinis programų kūrimas • Komponentinis programavimas • Šablonai • Atviras kodas
Duomenų ir informacijos sistemos

Duomenų struktūros • Duomenų vaizdavimas • Duomenų suspaudimas • Bylos • Bylų formatai • Informacinės sistemos • Duomenų bazės • Informacijos saugojimas
Skaičiavimo metodologijos

Dirbtinis intelektas • Kompiuterinė grafika • Vaizdų apdorojimas • Balso atpažinimas • Modeliavimas • Dokumentų ir teksto apdorojimas • Skaitmeninių signalų apdorojimas



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