Abstract: This paper addresses state transfer in blockchain systems, crucial for new or recovering peers. Current systems use periodic snapshots and cryptographic structures like Merkle trees for ...

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How do you count rooted planar n n-ary trees with some number of leaves? For n = 2 n = 2 this puzzle leads to the Catalan numbers. These are so fascinating that the combinatorist Richard Stanley wrote ...

Abstract: For increasingly complex real-world optimization problems, a large number of researches have shown that differential evolution (DE) is an effective problem-solving algorithm. Despite its ...

Minecraft Snapshot 25W09A introduces new fallen trees at various biomes. Now, the firefly bushes spawn in Mangrove biomes rather than badlands. Finally, the leaf litter blocks have become replaceable ...

ABSTRACT: Delirium is a common yet critical condition among Intensive Care Unit (ICU) patients, characterized by acute cognitive disturbances that can lead to severe complications, prolonged hospital ...

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ABSTRACT: In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a ...

Today’s round of questions, my smart-aleck replies, and the real answers: Question: (John Boyle here, not a questioner). This topic comes from a Facebook post on the Original Black Mountain Exchange ...

Merkle trees, also known as hash trees or binary hash trees, are tree-like data structures used in computer science. They are named after their inventor, Ralph Merkle, who proposed the concept in 1979 ...