论文标题

(0,1)二进制序列中的波动行为

Wave-like behaviour in (0,1) binary sequences

论文作者

Canessa, E.

论文摘要

这项工作从量子理论的数学观点中介绍了有限(0,1)二进制系统的性质的全面研究,其中复杂的波函数$ψ_{n} $被视为一种类似的概率度量。这是基因组模型的量子启发的扩展,以表征观察到的基因组序列,其中$ψ_{n} $与具有独立分布式项的交替(0,1)二进制序列有关。 $ψ_{n} $ {\ emph vs.}核苷酸基础位置显示声波的特征特征。

This work presents a comprehensive study of the properties of finite (0,1) binary systems from the mathematical viewpoint of quantum theory where a complex wavefunction $ψ_{n}$ is considered as an analogous probability measure. This is a quantum-inspired extension of the GenomeBits model to characterise observed genome sequences, where $ψ_{n}$ is related to an alternating (0,1) binary series having independent distributed terms. The real and imaginary spectrum of $ψ_{n}$ {\emph vs.} the nucleotide base positions display characteristic features of sound waves.

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