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Rank of Hadamard powers of Euclidean distance matrices
Horvat, Boris, 1976- ...
V matematični kemiji in računski biologiji uporabljamo lastne vrednosti razdaljnih matrik tudi za opis stopnje podobnosti med kemijskimi strukturami ali biološkimi zaporedji. Ker so lahko take ...strukture različnih velikosti, so tudi spektri pripadajočih razdaljnih matrik različnih velikosti, zato je primerjava struktur težka. V članku predstavimo matematično teoretično ozadje, ki ga potrebujemo za vpeljavo nove grafične (kvalitativne in vizualne) in numerične (kvantitativne in izračunljive) reprezentacije bioloških zaporedij. Glavni rezultat je izpeljava formule za rang Hadamardove potence evklidske razdaljne matrike.
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