ДЕФИНИРАНЕ НА НОВ УНИВЕРСАЛЕН МАТЕМАТИЧЕСКИ АГРЕГАТОР
DEFINITION OF A NEW UNIVERSAL MATHEMATICAL AGGREGATOR

Summary/Abstract: The paper proposes a new mathematical operator - a universal aggregator - that unifies a wide range of classical operators such as sum, product, extrema, quantifiers, integrals, semiring reductions, and others, all of which appear as strict special cases of this operator. The universal aggregator is defined, an appropriate calligraphic notation for its representation is chosen, the method of its use is established, and various examples of its application are demonstrated. A special focus is placed on defining the aggregator so that it operates on sets, not merely as a formal fold over lists, and this is justified in a mathematically precise way.

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