Titlebook: Some Fundamentals of Mathematics of Blockchain; Julien Riposo Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

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On Improving the Merkle Trees: The ,-Trees, 2 (binary trees are for . = 2). We show that, for some values of number of transactions . ≥ 3, the system could be much faster, plus gain computational power, memory, and significantly reduce the computational time.

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Entropy of Peer-to-Peer Network,ned in the three of them, but by the equivalence of their information flow representation, one network might be more appropriate depending on the goal. One direct application of entropy is the increase of privacy of users: the Particles Model is explained and closes this chapter.

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Book 2023ckchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book..First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tre

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Halving and Cycles Theorem,lock reward actually reveals some interesting characteristics in terms of available bitcoins. Collecting the 21 million bitcoins might appear to be impossible due to the protocol imposing the irreducible value of bitcoin, i.e., the Satoshi precision. The question of a change in the protocol through

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Applications: Selection of Research Studies,to highlight key blockchain research topics through the viewpoint of the developed theory above. The selected articles bore the attention of the author, but are far from exhaustively reflecting the overall research, and the below could specifically be seen as examples whose underlying blockchain the