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Example: Decimal Number Representation

Let a := [3, 1, 2, 9, 0, 7]. We have

(sum_{0 <= i <= 5} a_i*10ⁱ) = 709213.

In general, for any finite sequence d of "decimal digits" the term

(sum_{0 <= i < length(d)} d_i*10ⁱ)

denotes the value of this sequence in the decimal number system.