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Proof of bijection for combinatorial number system

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abstract

Combinatorial number system represents a non-negative natural numbers as sum of binomial coefficients. This paper presents an induction proof that there exists unique representation of every non-negative natural number $m$ as sum of $r$ binomial coefficients.

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cs.AI 1

years

2025 1

verdicts

CONDITIONAL 1

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Computing and Learning on Combinatorial Data

cs.AI · 2025-02-07 · conditional · novelty 4.0

A dissertation compiling five prior papers: GPU-accelerated persistent homology (HYPHA, Ripser++), near-linear-time approximated Wasserstein distance for persistence diagrams (PDoptFlow), and topology-based graph and hypergraph learning (GEFL, symmetry breaking).

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  • Computing and Learning on Combinatorial Data cs.AI · 2025-02-07 · conditional · none · ref 99 · internal anchor

    A dissertation compiling five prior papers: GPU-accelerated persistent homology (HYPHA, Ripser++), near-linear-time approximated Wasserstein distance for persistence diagrams (PDoptFlow), and topology-based graph and hypergraph learning (GEFL, symmetry breaking).