formal sum

English

Noun

formal sum (plural formal sums)

  1. (mathematics) An expression which looks like a sum but where the symbol + has a purely symbolic role, in the sense that the summands cannot be meaningfully combined.
    1. (algebra) An element of a free abelian group or vector space regarded as a sum of basis elements.
    2. (of a series) A sum of an infinite sequence of numbers considered as an indeterminate object, in the sense of being subject to certain algebraic manipulations but not necessarily convergent.
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