2023
DOI: 10.3390/math11173715
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A Classification of Elements of Function Space F(R,R)

Mohsen Soltanifar

Abstract: In this paper, we present a constructive description of the function space of all real-valued functions on R(F(R,R)) by presenting a partition of it into 28 distinct blocks and a closed-form formula for the representative function of each of them. Each block contains elements that share common features in terms of the cardinality of their sets of continuity and differentiability. Alongside this classification, we introduce the concept of the Connection, which reveals a special relationship structure between th… Show more

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