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Transformation of boolean hypercube vertices into unit interval elements: QSPR workout consequences

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The subindex I , orders the BooleanHypercube vertices with their equivalent natural number values, after transforming them into decimal format. The zero vector: 〈h0| ( 0 0 · · ·… Click to show full abstract

The subindex I , orders the BooleanHypercube vertices with their equivalent natural number values, after transforming them into decimal format. The zero vector: 〈h0| ( 0 0 · · · 0 ) ≡ 〈0|, starts the ordered sequence of vertices. The largest subindex: μ(N ) 2N − 1 is the Mersenne number. It corresponds to a Boolean Hypercube vertex with all its elements equal to the bit 1, it can be obviously called the Mersenne vertex or vector and written as:

Keywords: hypercube; unit interval; vertices unit; boolean hypercube; hypercube vertices; transformation boolean

Journal Title: Journal of Mathematical Chemistry
Year Published: 2018

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