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Nucleotide Sequence

The specific order of nucleotides within a nucleic acid molecule, determining its function and properties.

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The statement of the theorem

Let

\Sigma = \{A, T, C, G\}

be the finite alphabet of nucleotides. A nucleic acid sequence

S

of length

L

is defined as a vector

S = (s_1, s_2, \dots, s_L)

, where

s_i \in \Sigma

. The sequence can be represented mathematically as a word in the formal language

\Sigma^*

. The sequence

S

determines the chemical structure

\mathcal{C}(S)

and the associated thermodynamic properties

\Delta G(S)

via the Hamiltonian

\mathcal{H}: \Sigma^L \to \mathbb{R}