Összegz

Összegz is a fictional mathematical concept used mainly in Hungarian-language science fiction and speculative essays. It is described as a generalized summation operator that takes a set of sequences or data streams and outputs a single compact representation, called an összegz, which encodes aggregate information while reducing redundancy.

The name is derived from the Hungarian word "összegzés" meaning summation or aggregation, with the truncation "Összegz" used as a shorthand in the fictional discourse.

In the fictional framework, Összegz is defined by an operator that depends on a weighting function and optionally a context filter. It satisfies intuitive properties like linearity under certain conditions and invariance of endpoints, but deviates from standard summation in handling dependencies and noise. The resulting összegz object typically retains boundary terms and a compressed interior, enabling reconstruction under specific assumptions.

Originating in speculative mathematics and literary devices, Összegz appears in novels and online discussions as a metaphor for data compression, memory, or collective computation. It is not an established mathematical operator in real-world mathematics.

A typical fictional example shows two sequences a_n and b_n being aggregated into S_n = Összegz(a_n, b_n), producing a two-layer representation used by characters to infer hidden correlations.

See also: Summation, Aggregation, Összegzés.