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(Computer Science)
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The most dangerous scenario is an attack based on the where any pairs of data leading to root collisions are selected without restrictions. The analysis shows that increasing the length of the Merkle path leads to a higher probability of collisions, inevitably impacting the security of Merkle Proofs. However, in practically significant cases, a critical increase in the probability will not occur because for most modern applications, the size of the Merkle Tree is limited, and cryptographically secure hash functions with sufficient output length are used. For example, Ethereum uses the Keccak hashing function with 256 bits, and the value of the path length rarely exceeds 56, meaning the probability of collision remains critically low. This mathematical analysis confirms the practical security of Merkle Trees under standard parameters.
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Matematička analiza: Teorija, primeri, zadaci za studente računarstva (2006)
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Neodređeni i određeni (Rimanov) integral. Pored standardnih tehnika integracije (smena promenljive, parcijalna integracija), akcenat je na nesvojstvenim integralima i ispitivanju njihove konvergencije, što je ključno za kasnije razumevanje Integralnih transformacija (Furije i Laplas). 5. Redovi (Brojni i funkcionalni)
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Jedan od najvažnijih alata za svakog inženjera i programera. Autor pedantno obrađuje: Geometrijsku i fizičku interpretaciju prvog izvoda.