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Schema-less Data Model

A fundamental aspect of NoSQL databases where the structure of data is not rigidly predefined, offering flexibility and adaptability.
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The statement of the theorem

Let D\mathcal{D} be the set of all data records. A record dDd \in \mathcal{D} is defined as a map d:KVd: K \to V, where KK is the set of keys and VV is the set of values. The schema-less nature implies that for any two records d1,d2Dd_1, d_2 \in \mathcal{D}, the domain of keys K1=dom(d1)K_1 = \text{dom}(d_1) and K2=dom(d2)K_2 = \text{dom}(d_2) are not constrained to be equal, i.e., K1K2K_1 \neq K_2 is permitted, provided that d1d_1 and d2d_2 are both valid instances of the data type T\mathcal{T}.